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springer.com/booksales

ORDER NOW

springer.comABCD

Available from

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March 1, 2011 – July 31, 2011

Yellow SaleMathematics Books

H1808

The best books at the best prices

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Yellow Sale 2011

March 1, 2011 – July 31, 2011

Yellow Sale 2011The best books at the best prices!

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The Yellow Sale is for mathematicians everywhere. Springer has slashed

the list prices of selected titles; most sale prices are half price so you can

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limited in quantity.

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receive the Yellow Sale discounted price, even if the shipment does not

leave our warehouse until later.

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First-rate authors guarantee the high level of content that remains

timeless over the years. All titles in the sale are proven bestsellers and

highly recommended for any library, university or student of mathematics.

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books or other Springer publications.

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Book with CD-ROM

7 The books in this catalogue

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author‘s last name

7 Some stocks may be limited

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7 This sale is not valid in North

and South America

7 Prices are subject to change

without notice

7 All prices are exclusive

of carriage charges. All errors

and omissions excepted

VAT for books

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7% VAT for books, the € (A) for

Austria includes 10% VAT for books.

For a list of participating booksellers in your area and more information about these titles please visit our website at springer.com/booksales

Please note: The books in this catalogue are, per chapter (language), arranged alphabetically by the author’s last name. Some stocks may be limited and are subject to availability. This sale is not valid in North and South America. Prices are subject to change without notice. All prices are exclusive of carriage charges. All errors and omissions excepted.

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How to order:

Use the enclosed order formVisit springer.com/booksalesfor a list of participating booksellers in your area and more information about these titlesE-mail [email protected]@springer.com Contact your local bookseller or one of our recommended booksellersCall +49 (0) 6221-345-0(Springer Customer Service Center)

VAT for booksFrance 5.5%, Italy 4.0%, Spain 4.0%. Please add your country’s sales tax to the recommended retail prices.* The € (D) for Germany includes 7% VAT for books, the € (A) for Austria includes 10% VAT for books.

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springer.com/booksales Yellow Sale 2011 English Titles 11

R. Abraham, University of California, Santa Cruz, CA, USA; J. E. Marsden, Pasadena, CA, USA; T. Ratiu, University of California, Santa Cruz, CA, USA

Manifolds, Tensor Analysis, and ApplicationsThis book presents core material in nonlinear analysis, offering working knowledge of manifolds, dynamical systems, tensors and differential forms. Coverage includes Hamilto-nian mechanics, fluid mechanics, electromagne-tism, plasma dynamics and control theory.

2nd ed. 1988. XI, 672 p. 94 illus. (Applied Mathematical Sciences, Volume 75) HardcoverISBN 978-0-387-96790-5

List price7 € 99,95 | £89.507 * € (D) 106,95 | € (A) 109,95 | sFr 154,50

Sale price7 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 79,00

9<HTLDTH=jghjaf>D. R. Adams, University of Kentucky, Lexington, KY, USA; L. I. Hedberg, Linköping University, Linköping, Sweden

Function Spaces and Potential Theory

From the reviews 7"..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." 7 Proceedings of the Edinburgh Mathematical Society

1996. Corr. 2nd printing 1996. XI, 366 p. (Grundlehren der mathematischen Wissenschaften, Volume 314) HardcoverISBN 978-3-540-57060-8

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

Sale price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

9<HTOFPA=fhagai>

R. P. Agarwal, Florida Institute of Technology, Melbourne, FL, USA; D. O'Regan, National University of Ireland, Galway, Ireland; D. R. Sahu, Banaras Hindu University, Varanasi, India

Fixed Point Theory for Lipschitzian-type Mappings with ApplicationsOver the past few decades, fixed point theory has become an important field of study in both pure and applied mathematics. This book presents the main techniques and results in the theory, from preliminary topics and basic results to applicable problems.

2009. X, 368 p. (Topological Fixed Point Theory and Its Applications, Volume 6) HardcoverISBN 978-0-387-75817-6

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

Sale price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

9<HTLDTH=hfibhg>

R. P. Agarwal, Florida Institute of Technology, Melbourne, FL, USA; D. O'Regan, National University of Ireland, Galway, Ireland

Ordinary and Partial Differential EquationsWith Special Functions, Fourier Series, and Boundary Value Problems

In this textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided for practice.

2009. XIV, 410 p. 35 illus. (Universitext) SoftcoverISBN 978-0-387-79145-6

List price7 € 42,95 | £38.997 * € (D) 45,96 | € (A) 47,25 | sFr 62,00

Sale price7 € 26,95 | £24.997 * € (D) 28,84 | € (A) 29,65 | sFr 39,00

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A. A. Agrachev, Steklov Mathematical Institute, Moscow, Russia; Y. Sachkov, Pereslavl University, Pereslavl-Zalessky, Russia

Control Theory from the Geometric ViewpointDevoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations, this book treats Math-ematical Control Theory from a geometric viewpoint. Covers controllability, state and feedback equivalence and optimal control.

2004. XIV, 412 p. 35 illus. (Encyclopaedia of Mathematical Sciences, Volume 87) HardcoverISBN 978-3-540-21019-1

List price7 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 172,00

Sale price7 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 93,50

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M. Aguilar, Universidad Nacional Autonoma de Mexico, DF, Mexico; S. Gitler, Centro de Investigacion y de Estudios Avanzados, Mexico, DF, Mexico; C. Prieto, Universidad Nacional Autonoma de Mexico, DF, Mexico

Algebraic Topology from a Homotopical ViewpointTransl. Spanish from S. Sontz

The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.

2002. XXIX, 478 p. 37 illus. (Universitext) HardcoverISBN 978-0-387-95450-9

List price7 € 73,95 | £66.997 * € (D) 79,13 | € (A) 81,35 | sFr 114,00

Sale price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

9<HTLDTH=jfefaj>

springer.com/booksales English Titles Yellow Sale 20112

The first € price and the £ price are recommended retail prices, subject to local VAT. *The € (D) for Germany includes 7% VAT for books, the € (A) for Austria includes 10% VAT for books.

F. Albiac, N. J. Kalton, University of Missouri, Columbia, MO, USA

Topics in Banach Space TheoryThis book emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. Its aim is to provide the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems.

2006. XII, 376 p. (Graduate Texts in Mathematics, Volume 233) HardcoverISBN 978-0-387-28141-4

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

Sale price7 € 34,95 | £31.997 * € (D) 37,40 | € (A) 38,45 | sFr 50,50

9<HTLDTH=cibebe>

S. Alinhac, Université Paris-Sud, Orsay, France

Hyperbolic Partial Differential EquationsThis excellent introduction to hyperbolic differential equations is devoted to linear equations and symmetric systems, as well as conservation laws. It includes more than 100 exercises, along with "do-it-yourself " instruc-tions for the proofs of many theorems.

2009. XII, 150 p. (Universitext) SoftcoverISBN 978-0-387-87822-5

List price7 € 49,95 | £29.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

Sale price7 € 29,95 | £26.997 * € (D) 32,05 | € (A) 32,95 | sFr 43,00

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K. Alladi, University of Florida, Gainesville, FL, USA (Ed.)

Surveys in Number TheoryNumber theory has a wealth of long-standing problems, the study of which has led to developments in many areas of mathematics. This volume, written by distinguished math-ematicians, consists of seven significant chapters on number theory and related topics.

2008. X, 188 p. (Developments in Mathematics, Volume 17) HardcoverISBN 978-0-387-78509-7

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

Sale price7 € 32,95 | £29.997 * € (D) 35,26 | € (A) 36,25 | sFr 47,50

9<HTLDTH=hifajh>

G. Allaire, Ecole Polytechnique, Paliseau, France

Shape Optimization by the Homogenization MethodAn introduction to the theory and numerical developments of the homogenization method, designed for researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineering, and structural optimization. The book covers the theories of homogenization and two-phase composite materials, and discusses the resulting numerical algorithms with many documented test problems.

2002. XV, 456 p. 54 illus. (Applied Mathematical Sciences, Volume 146) HardcoverISBN 978-0-387-95298-7

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 128,00

Sale price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

9<HTLDTH=jfcjih>

P. Anglès, Université Paul Sabatier, Toulouse, France

Conformal Groups in Geometry and Spin StructuresThis book provides an overview of the role of conformal groups in geometry and mathemat-ical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics, and contains numerous examples and exercises.

2008. XXVIII, 284 p. 40 illus. (Progress in Mathematical Physics, Volume 50) HardcoverISBN 978-0-8176-3512-1

List price7 € 79,90 | £72.007 * € (D) 85,49 | € (A) 87,89 | sFr 135,00

Sale price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

9<HTLIMH=gdfbcb>

S. Antman, University of Maryland, College Park, MD, USA

Nonlinear Problems of ElasticityEnlarged, updated, and extensively revised, this second edition illuminates specific problems of nonlinear elasticity, emphasizing the role of nonlinear material response. Opening chapters discuss strings, rods, and shells, and applica-tions of bifurcation theory and the calculus of variations to problems for these bodies. Subsequent chapters cover tensors, three-dimensional continuum mechanics, three-dimensional elasticity , general theories of rods and shells, and dynamical problems. Each chapter includes interesting, challenging, and tractable exercises.

2nd ed. 2005. XVIII, 838 p. 110 illus. (Applied Mathematical Sciences, Volume 107) HardcoverISBN 978-0-387-20880-0

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 124,50

Sale price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

9<HTLDTH=caiiaa>

springer.com/booksales Yellow Sale 2011 English Titles 33

Sales prices are valid until July 31st, 2011. This offer is not valid in North and South America.

V. Arnold, University of Moscow, RussiaM. Levi, Boston University, Boston, MA, USA (Ed.)

Geometrical Methods in the Theory of Ordinary Differential EquationsTransl. Russian from J. Szücs

The expanded second edition of this book reflects new developments including the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems and the Neistadt theory.

2nd ed. 1988. 2nd printing 1988. XIV, 372 p. (Grundlehren der mathematischen Wissenschaften, Volume 250) HardcoverISBN 978-0-387-96649-6

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

Sale price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

9<HTLDTH=jggejg>

V. I. Arnold, V. Kozlov, Lomonosov Moscow State University, Russia and Steklov Mathematical Institute, Moscow, Russia; A. I. Neishtadt, Space Research Institute, Moscow, and Lomonosov Moscow State University, Russia

Mathematical Aspects of Classical and Celestial MechanicsDynamical Systems III

Transl. Russian from E. Khukhro

In its expanded and improved 3rd edition, this work describes the fundamental principles, problems, and methods of classical mechanics. The authors stress the working apparatus of classical mechanics, rather than its physical foundations or applications.

3rd ed. 2006. XIII, 518 p. 109 illus. (Encyclopaedia of Mathematical Sciences, Volume 3) HardcoverISBN 978-3-540-28246-4

List price7 € 114,95 | £103.507 * € (D) 123,00 | € (A) 126,45 | sFr 178,50

Sale price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 90,50

9<HTOFPA=cicege>

L. Arnold, University of Bremen, Germany

Random Dynamical SystemsThe first systematic presentation of the theory of dynamical systems under the influence of randomness, this book includes products of random mappings as well as random and stochastic differential equations. The basic multiplicative ergodic theorem is presented, providing a random substitute for linear algebra. On its basis, many applications are detailed. Numerous instructive examples are treated analytically or numerically.

1st.ed 1998. Corr. 2nd printing 1998. XVI, 586 p. 40 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-63758-5

List price7 € 99,95 | £79.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50

Sale price7 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 79,00

9<HTOFPA=gdhfif>

V. I. Arnold, University of Paris-Dauphine, Paris, France; B. A. Khesin, University of Toronto, Ont., Canada

Topological Methods in HydrodynamicsThe first to examine topological, group-theo-retic and geometric problems of ideal hydrody-namics and magnetohydrodynamics from a unified viewpoint, this book describes preliminary notions in hydrodynamics and pure mathematics with numerous examples and figures.

1998. Corr. 2nd printing 1998. XV, 376 p. 78 illus. (Applied Mathematical Sciences, Volume 125) HardcoverISBN 978-0-387-94947-5

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

Sale price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

9<HTLDTH=jejehf>

S. Asmussen, University of Lund, Sweden

Applied Probability and Queues

From the reviews 7 "This book is a highly recommendable survey of mathematical tools and results in applied probability with special emphasis on queueing theory....The second edition at hand is a thoroughly updated and considerably expended version of the first edition.... This book and the way the various topics are balanced are a welcome addition to the literature. It is an indispensable source of information for both advanced graduate students and researchers." 7 Mathematical Reviews

2nd ed. 2003. XII, 438 p. 46 illus. (Stochastic Modelling and Applied Probability, Volume 51) HardcoverISBN 978-0-387-00211-8

List price7 € 73,95 | £66.997 * € (D) 79,13 | € (A) 81,35 | sFr 114,00

Sale price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

9<HTLDTH=aacbbi>

K. B. Athreya, S. N. Lahiri, Iowa State University, Ames, IA, USA

Measure Theory and Probability TheoryThis is a graduate level textbook on measure theory and probability theory. It presents the main concepts and results in measure theory and probability theory. It further provides heuristic explanations behind the theory to help students see the big picture.

2006. XIV, 618 p. (Springer Texts in Statistics) HardcoverISBN 978-0-387-32903-1

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

Sale price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

9<HTLDTH=dcjadb>

springer.com/booksales English Titles Yellow Sale 20114

The first € price and the £ price are recommended retail prices, subject to local VAT. *The € (D) for Germany includes 7% VAT for books, the € (A) for Austria includes 10% VAT for books.

K. E. Atkinson, W. Han, University of Iowa, Iowa City, IA, USA

Theoretical Numerical AnalysisA Functional Analysis Framework

This book prepares graduate students for research in numerical analysis/computational mathematics by giving a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps them to move rapidly into a research program.

3rd ed. 2009. XVI, 625 p. (Texts in Applied Mathematics, Volume 39) HardcoverISBN 978-1-4419-0457-7

List price7 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 93,50

Sale price7 € 36,95 | £33.997 * € (D) 39,54 | € (A) 40,65 | sFr 53,00

9<HTMEPB=jaefhh>

J. Aubin, Universite Paris-Dauphine, Paris, France

Optima and EquilibriaAn Introduction to Nonlinear Analysis

Transl. French: S. Wilson

This book offers a self-contained, rigorous and concise review of the mathematical tools needed to study optima and equilibria, as solutions to problems in economics, management sciences, operations research, cooperative and non-coop-erative games and more.

2nd ed. 1998. Corr. 2nd printing 1998. XVII, 433 p. 28 illus. (Graduate Texts in Mathematics, Volume 140) HardcoverISBN 978-3-540-64983-0

List price7 € 64,95 | £51.997 * € (D) 69,50 | € (A) 71,45 | sFr 108,00

Sale price7 € 36,95 | £33.997 * € (D) 39,54 | € (A) 40,65 | sFr 53,00

9<HTOFPA=gejida>

J. Aubin, H. Frankowska, Université de Paris-Dauphine and CNRS, Paris, France

Set-Valued Analysis

From the reviews 7 "Gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. It includes…results with many historical comments giving the reader a sound perspective to look at the subject." 7 Mathematical Reviews

1990. 2nd printing 1990. XIX, 461 p. 11 illus. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4847-3

List price7 € 39,90 | £35.997 * € (D) 42,69 | € (A) 43,89 | sFr 69,90

Sale price7 € 19,95 | £17.997 * € (D) 21,35 | € (A) 21,95 | sFr 29,00

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J. Aubin, Université de Paris-Dauphine and CNRS, Paris, France

Viability TheoryThis soft cover edition of a classic text examines viability theory and its applications to control theory and differential games. It emphasizes the construction of feedbacks and dynamical systems by myopic optimization methods.

2001. 2nd printing 1992. XXVIII, 544 p. 10 illus. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4909-8

List price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

Sale price7 € 24,95 | £22.997 * € (D) 26,70 | € (A) 27,45 | sFr 36,00

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N. Baas, Norwegian Inst. of Technology (NTNU), Trondheim, Norway; E. Friedlander, University of Southern California, CA, USA; B. Jahren, P. A. Østvær, University of Oslo, Norway (Eds.)

Algebraic TopologyThe Abel Symposium 2007

The 2007 Abel Symposium brought together mathematicians whose research has led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology and mathematical physics. This book offers the highlights of that symposium.

2009. XIV, 409 p. (Abel Symposia, Volume 4) HardcoverISBN 978-3-642-01199-3

List price7 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 158,00

Sale price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00

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A. Bain, BNP Paribas, London, UK; D. Crisan, Imperial College, London, UK

Fundamentals of Stochastic FilteringThis book provides a rigorous mathematical treatment of the non-linear stochastic filtering problem using modern methods. Emphasis is placed on the theoretical analysis of numerical methods for the solution of the filtering problem via particle methods.

2009. XIII, 390 p. (Stochastic Modelling and Applied Probability, Volume 60) HardcoverISBN 978-0-387-76895-3

List price7 € 42,95 | £38.997 * € (D) 45,96 | € (A) 47,25 | sFr 62,00

Sale price7 € 24,95 | £22.997 * € (D) 26,70 | € (A) 27,45 | sFr 36,00

9<HTLDTH=hgijfd>

springer.com/booksales Yellow Sale 2011 English Titles 55

Sales prices are valid until July 31st, 2011. This offer is not valid in North and South America.

A. Baker, University of Glasgow, UK

Matrix GroupsAn Introduction to Lie Group Theory

This book offers a first taste of the theory of Lie groups, focusing mainly on matrix groups: closed subgroups of real and complex general linear groups. The first part studies examples and describes classical families of simply connected compact groups. The second section introduces the idea of a lie group and explores the associated notion of a homogeneous space using orbits of smooth actions. The emphasis throughout is on accessibility.

2002. Corr. 2nd printing 2002. XI, 330 p. 16 illus. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-470-3

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

Sale price7 € 19,95 | £17.997 * € (D) 21,35 | € (A) 21,95 | sFr 29,00

9<HTMIQC=ddehad>

M. W. Baldoni, C. Ciliberto, G. Piacentini Cattaneo, University of Rome - Tor Vergata, Roma, Italy

Elementary Number Theory, Cryptography and CodesTransl. English from D. Gewurz, University of Rome, Roma, Italy

This text covers basic techniques from algebra and number theory which have recently proven to be extremely useful for applications to cryptography and coding theory. Public key cryptography is extensively discussed, and quantum cryptography is covered.

2009. XVI, 522 p. 10 illus. (Universitext) SoftcoverISBN 978-3-540-69199-0

List price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

Sale price7 € 29,95 | £26.997 * € (D) 32,05 | € (A) 32,95 | sFr 43,00

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M. Banagl, Universität Heidelberg, Germany

Topological Invariants of Stratified SpacesThe central theme of this book is the restoration of Poincaré duality on stratified singular spaces by using Verdier-self-dual sheaves such as the prototypical intersection chain sheaf on a complex variety. Highlights include complete and detailed proofs of decomposition theorems for self-dual sheaves, explanation of methods for computing twisted characteristic classes and an introduction to the author's theory of non-Witt spaces and Lagrangian structures.

2007. XII, 259 p. 14 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-38585-1

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

Sale price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

9<HTOFPA=dififb>

T. Banchoff, J. Wermer, Brown University, Providence, RI, USA

Linear Algebra Through GeometryThis book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms.

2nd ed. 1992. Corr. 2nd printing 1992. XII, 324 p. 92 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-97586-3

List price7 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50

Sale price7 € 29,95 | £26.997 * € (D) 32,05 | € (A) 32,95 | sFr 43,00

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A. Banyaga, The Pennsylvania State University, University Park, PA, USA; D. Hurtubise, The Pennsylvania State University, Altoona, PA, USA

Lectures on Morse HomologyThis book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs.

2004. IX, 326 p. (Texts in the Mathematical Sciences, Volume 29) HardcoverISBN 978-1-4020-2695-9

List price7 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50

Sale price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

9<HTMELC=acgjfj>

D. Bao, University of Houston, TX, USA; S. Chern, University of California at Berkeley, CA, USA; Z. Shen, Purdue University at Indianapolis, IN, USA

An Introduction to Riemann-Finsler GeometryThis book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations.

From the reviews 7 "This book offers the most modern treatment of the topic …" 7 EMS Newsletter.

2000. XX, 431 p. 20 illus. (Graduate Texts in Mathematics, Volume 200) HardcoverISBN 978-0-387-98948-8

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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E. Barbeau, University of Toronto, ON, Canada

PolynomialsThis book provides a backdrop for study in calculus, modern algebra, numerical analysis and complex variable theory, through examples. Includes some 300 problems drawn from journals, contests, and examinations to test understanding, ingenuity, and skill.

1989. 3rd printing 1989. XXII, 455 p. 36 illus. (Problem Books in Mathematics) SoftcoverISBN 978-0-387-40627-5

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C. Bartocci, Università degli Studi di Genova, Italy; U. Bruzzo, SISSA, Trieste, Italy; D. Hernández Ruipérez, Universidad de Salamanca, Spain

Fourier-Mukai and Nahm Transforms in Geometry and Mathematical PhysicsThis self-contained monograph provides an introduction to current research in geometry and mathematical physics. It examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm).

2009. XVI, 418 p. 83 illus. (Progress in Mathematics, Volume 276) HardcoverISBN 978-0-8176-3246-5

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S. Basu, Georgia Institute of Technology, Atlanta, GA, USA; R. Pollack, Courant Institute of Mathematical Sciences, New York, NY, USA; M. Coste-Roy, Université de Rennes I, France

Algorithms in Real Algebraic GeometryThis is the first graduate textbook on the algorithmic aspects of real algebraic geometry. The main ideas and techniques presented form a coherent and rich body of knowledge. Mathematicians will find relevant information about the algorithmic aspects.

2nd ed. 2006. X, 662 p. 40 illus. (Algorithms and Computation in Mathematics, Volume 10) HardcoverISBN 978-3-540-33098-1

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R. Battiti, M. Brunato, F. Mascia, Università di Trento, Italy

Reactive Search and Intelligent OptimizationThis book presents the main principles of reactive search and intelligent optimization and clearly shows how they can be used in problem solving. The book will be of interest to anyone working in the meta-heuristics.

2008. X, 197 p. 74 illus. (Operations Research Computer Science Interfaces Series, Volume 45) HardcoverISBN 978-0-387-09623-0

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M. Beck, San Francisco State University, San Francisco, CA, USA; S. Robins, Temple University, Philadelphia, PA, USA

Computing the Continuous DiscretelyInteger-point Enumeration in Polyhedra

This much-anticipated textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. It weaves a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, and number theory.

2007. Corr. printing 2007. XVIII, 226 p. 33 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-29139-0

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J. J. Benedetto, W. Czaja, University of Maryland, College Park, MD, USA

Integration and Modern AnalysisThis textbook and treatise begins with classical real variables, develops the Lebesgue theory abstractly and for Euclidean space, and analyzes the structure of measures. The authors' vision of modern real analysis is seen in their fascinating historical commentary and perspectives with other fields.

2009. XIX, 575 p. 24 illus. (Birkhäuser Advanced Texts Basler Lehrbücher) HardcoverISBN 978-0-8176-4306-5

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M. Bernardo, University of Bristol, UK; C. Budd, University of Bath, UK; A. R. Champneys, P. Kowalczyk, University of Bristol, UK

Piecewise-smooth Dynamical SystemsTheory and Applications

This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. An informal introduction expounds the ubiquity of such models via numerous. The results are presented in an informal style, and illustrated with many examples.

2008. XXII, 483 p. 234 illus. (Applied Mathematical Sciences, Volume 163) HardcoverISBN 978-1-84628-039-9

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F. Biagini, LMU München, Germany; Y. Hu, University of Kansas, Lawrence, KS, USA; University of Oslo, Norway; B. Øksendal, University of Oslo, Norway; T. Zhang, University of Manchester, UK

Stochastic Calculus for Fractional Brownian Motion and ApplicationsThe purpose of this book is to present a comprehensive account of the different definitions of stochastic integration for fBm, and to give applications of the resulting theory. Particular emphasis is placed on studying the relations between the different approaches.

2008. XII, 332 p. (Probability and Its Applications) HardcoverISBN 978-1-85233-996-8

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N. H. Bingham, University of Sheffield, UK; R. Kiesel, University of Ulm, Germany

Risk-Neutral ValuationPricing and Hedging of Financial Derivatives

This text presents a comprehensive, self-contained treatment of the probabilistic theory behind the risk-neutral valuation principle and its application to the pricing and hedging of financial derivatives. Both discrete- and continuous-time stochastic processes are treated, with special emphasis on martingale theory, stochastic integration and change-of-measure techniques. This edition has been heavily updated with new material and exercises.

2nd ed. 2004. XVIII, 437 p. 8 illus. (Springer Finance) HardcoverISBN 978-1-85233-458-1

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R. Bix, The University of Michigan, Flint, MI, USA

Conics and CubicsA Concrete Introduction to Algebraic Curves

Conics and Cubics offers an accessible and well illustrated introduction to algebraic curves. By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout’s Theorem on the number of intersections of two curves. The subject area is described by means of concrete and accessible examples. The book is a text for a one-semester course.

2nd ed. 2006. VIII, 352 p. 151 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-31802-8

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A. Bjorner, Royal Institute of Technology, Mathematics, Stockholm, Sweden; F. Brenti, Università di Roma, Matematica, Roma, Italy

Combinatorics of Coxeter GroupsThis book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combina-torics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinato-rial cell complexes, and connections with combinatorial representation theory. The authors have included exposition along with a rich selection of exercises.

2005. XIV, 370 p. 81 illus. (Graduate Texts in Mathematics, Volume 231) HardcoverISBN 978-3-540-44238-7

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T. Blyth, E. F. Robertson, University of St. Andrews, UK

Further Linear AlgebraFollows on from "Basic Linear Algebra", one of SUMS' best-selling titles, to provide a textbook suitable for a second course in linear algebraIn-cludes a wealth of worked examples and exercisesIncludes a brief introduction, in the style of a tutorial, to the use of MAPLE in dealing with numerical and algebraic problems

2002. VII, 230 p. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-425-3

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P. B. Bochev, Sandia National Laboratories, Albuquerque, NM, USA; M. D. Gunzburger, Florida State University, Tallahassee, FL, USA

Least-Squares Finite Element MethodsFinite element methods have become one of the most versatile and powerful methodologies for the approximate numerical solution of PDEs. This book is a thorough yet concise guide to the theory and practice of least-square finite element methods.

2009. XXII, 660 p. (Applied Mathematical Sciences, Volume 166) HardcoverISBN 978-0-387-30888-3

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J. Boissonnat, M. Teillaud, INRIA Sophia-Antipolis, France (Eds.)

Effective Computational Geometry for Curves and SurfacesThis book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and efficient in practice. Coverage includes references to open source software and discussion of potential applications of the presented techniques.

2006. XII, 344 p. 120 illus. (Mathematics and Visualization) HardcoverISBN 978-3-540-33258-9

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B. Bollobas, R. Kozma, University of Memphis, TN, USA; D. Miklos (Eds.)

Handbook of Large-Scale Random NetworksBased on material from the 2006 NSF workshop on Large-scale Random Graphs, this book describes recent advances made in large scale networks. It includes detailed descriptions of various applications and explores areas for future research.

2009. 600 p. (Bolyai Society Mathematical Studies, Volume 18) HardcoverISBN 978-3-540-69394-9

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A. Bonfiglioli, E. Lanconelli, F. Uguzzoni, Università di Bologna, Italy

Stratified Lie Groups and Potential Theory for Their Sub-LaplaciansThis book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry.

2007. XXVI, 802 p. 23 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-71896-3

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J. Bonnans, Ecole Polytechnique, Palaiseau, France; J. C. Gilbert, INRIA Rocquencourt, Le Chesnay, France; C. Lemarechal, INRIA Rhône-Alpes, Saint Ismier, France; C. A. Sagastizábal, IMPA, Rio de Janeiro, Brazil

Numerical OptimizationTheoretical and Practical Aspects

This book starts with illustrations of the ubiquitous character of optimization, and describes numerical algorithms in a tutorial way. It covers fundamental algorithms as well as more specialized and advanced topics for unconstrained and constrained problems.

2nd ed. 2006. XIV, 490 p. 52 illus. (Universitext) SoftcoverISBN 978-3-540-35445-1

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J. Bonnans, INRIA-Rocquencourt, Le Chesnay, France; A. Shapiro, Georgia Institute of Technology, Atlanta, GA, USA

Perturbation Analysis of Optimization ProblemsThis is a research-level book in optimization, whose results can be applied to fields from physics to economics. The text offers a great number of examples, making it useful to research professionals in the field of optimiza-tion, nonlinear programming and optimal control, and to users of optimization in mechanics, physics, statistics, finance and economics.

2000. XVIII, 601 p. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-0-387-98705-7

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A. Borel, L. Ji, University of Michigan, Ann Arbor, MI, USA

Compactifications of Symmetric and Locally Symmetric SpacesNoncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). The main purpose of this book is to introduce uniform constructions of most of the known compactifi-cations with emphasis on their geometric and topological structures.

2006. XIII, 479 p. (Mathematics: Theory & Applications) HardcoverISBN 978-0-8176-3247-2

List price7 € 68,95 | £59.997 * € (D) 73,78 | € (A) 75,85 | sFr 105,00

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P. Borwein, Simon Fraser University, Burnaby, B.C., Canada; T. Erdelyi, Texas A&M University, College Station, TX, USA

Polynomials and Polynomial InequalitiesThis book examines polynomials as they arise in analysis, focusing on polynomials and rational functions of a single variable. Coverage includes Chebyshev and Descartes systems, denseness and inequalities satisfied by polynomials and rational functions.

1995. X, 496 p. (Graduate Texts in Mathematics, Volume 161) HardcoverISBN 978-0-387-94509-5

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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P. Borwein, S. Choi, B. Rooney, Simon Fraser University, Burnaby, BC, Canada; A. Weirathmueller, University of Western Ontario, London, ON, Canada (Eds.)

The Riemann HypothesisA Resource for the Afficionado and Virtuoso Alike

This book presents the Riemann Hypothesis, connected problems, and a taste of the body of theory developed towards its solution. It is targeted at the educated non-expert. Almost all the material is accessible to any senior mathematics student, and much is accessible to anyone with some university mathematics.

2008. XIV, 538 p. 25 illus. (CMS Books in Mathematics) HardcoverISBN 978-0-387-72125-5

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W. Bosma, Katholieke Universiteit Nijmegen, The Netherlands; J. Cannon, University of Sydney, NSW, Australia (Eds.)

Discovering Mathematics with MagmaReducing the Abstract to the Concrete

Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calcu- lations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory.

2006. XXIV, 374 p. 9 illus. (Algorithms and Computation in Mathematics, Volume 19) HardcoverISBN 978-3-540-37632-3

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R. I. Bot, S. Grad, G. Wanka, TU Chemnitz, Germany

Duality in Vector OptimizationThis book presents fundamentals and compre-hensive results regarding duality for scalar, vector and set-valued optimization problems in a general setting. One chapter is exclusively consecrated to the scalar and vector Wolfe and Mond-Weir duality schemes.

2009. XV, 400 p. (Vector Optimization) HardcoverISBN 978-3-642-02885-4

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A. Bove, University of Bologna, Italy; D. Del Santo, University of Trieste, Italy; M. V. Murthy, University of Pisa, Italy (Eds.)

Advances in Phase Space Analysis of Partial Differential EquationsIn Honor of Ferruccio Colombini's 60th Birthday

This book covers recent advances in linear and nonlinear aspects of partial differential equations. Key topics include operators as "sums of squares" of real and complex vector fields, nonlinear evolution equations, local solvability and hyperbolic questions.

2nd Printing. 2009. XIV, 292 p. 1 illus. (Progress in Nonlinear Differential Equations and Their Applications, Volume 78) HardcoverISBN 978-0-8176-4860-2

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R. E. Bradley, Adelphi University, Garden City, NY, USA; C. E. Sandifer, Western Connecticut State University, Danbury, CT, USA

Cauchy’s Cours d’analyseAn Annotated Translation

In 1821, Augustin-Louis Cauchy published a textbook to accompany his course in analysis at the Ecole Polytechnique. It is still regarded as one of the most influential mathematics book ever written, and this is the first English translation of that book.

2009. XX, 412 p. 1 illus. in color. (Sources and Studies in the History of Mathematics and Physical Sciences) HardcoverISBN 978-1-4419-0548-2

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M. Braverman, M. Yampolsky, University of Toronto, ON, Canada

Computability of Julia SetsAmong all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. This accessible book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way.

2009. XIV, 152 p. 31 illus. (Algorithms and Computation in Mathematics, Volume 23) HardcoverISBN 978-3-540-68546-3

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S. C. Brenner, Louisiana State University, Baton Rouge, USA; R. Scott, University of Chicago, IL, USA

The Mathematical Theory of Finite Element MethodsThis is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.

3rd ed. 2008. XVIII, 402 p. 50 illus. (Texts in Applied Mathematics, Volume 15) HardcoverISBN 978-0-387-75933-3

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D. M. Bressoud, Macalester College, Saint Paul, MN, USA

Second Year CalculusFrom Celestial Mechanics to Special Relativity

Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality.

1991. Corr. 4th printing 1991. 404 p. 98 illus. (Undergraduate Texts in Mathematics / Readings in Mathematics) SoftcoverISBN 978-0-387-97606-8

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D. S. Bridges, L. S. Vita, University of Canterbury, Christchurch, New Zealand

Techniques of Constructive AnalysisThis book is an introduction to constructive mathematics with an emphasis on techniques and results that have been obtained in the last twenty years. There is specific focus on techniques and themes, and the book includes many simplified or improved proofs.

2006. XVI, 216 p. 10 illus. (Universitext) SoftcoverISBN 978-0-387-33646-6

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M. R. Bridson, University of Oxford, UK; A. Häfliger, Universite de Geneve, Switzerland

Metric Spaces of Non-Positive CurvatureA description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds. More specialized topics, such as complexes of groups, are covered in Part III.

1999. XXI, 643 p. 84 illus. (Grundlehren der mathematischen Wissenschaften, Volume 319) HardcoverISBN 978-3-540-64324-1

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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M. Bronstein, INRIA, Sophia Antipolis, France

Symbolic Integration ITranscendental Functions

This acclaimed book examines the topic of symbolic integration in comprehensive detail, incorporating new results along the way. The second edition offers a new chapter on parallel integration, and a number of other improve-ments including additional exercises.

2nd ed. 2005. XVI, 325 p. (Algorithms and Computation in Mathematics, Volume 1) HardcoverISBN 978-3-540-21493-9

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A. Browder, Brown University, Providence, RI, USA

Mathematical AnalysisAn Introduction

This book introduces analysis, from the basics of mathematical proposition and proof to differentiation, integration and more. Includes Stokes theorem and such applications as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions.

1996. Corr. 3rd printing 1996. XIV, 356 p. 5 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-94614-6

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W. Bruns, Universität Osnabrück, Germany; J. Gubeladze, San Francisco State University, San Francisco, CA, USA

Polytopes, Rings, and K-TheoryThis book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the presentation of several central results in all three areas of the exposition - from discrete geometry, to commutative algebra, and K-theory.

2009. XIV, 461 p. 52 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-76355-2

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P. Bullen, University of British Columbia, Vancouver, Canada

Handbook of Means and Their InequalitiesThis book updates its earlier version and enlarges the scope considerably to give a full and in-depth treatment the topic of means and their inequalities. Among its features are a variety of proofs for many of the basic results, and an extensive bibliography.

2nd ed. 2003. 537 p. (Mathematics and Its Applications, Volume 560) HardcoverISBN 978-1-4020-1522-9

List price7 € 96,95 | £87.507 * € (D) 103,74 | € (A) 106,65 | sFr 139,00

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F. Bullo, University of California at Santa Barbara, CA, USA; A. D. Lewis, Queen's University, Kingston, ON, Canada

Geometric Control of Mechanical SystemsModeling, Analysis, and Design for Simple Mechanical Control Systems

This book focuses on the modeling, analysis, and control of mechanical systems, presenting a novel unified, rather than inclusive, treatment that relies on techniques from differential and Riemannian geometry. The text opens with a detailed mathematical background, proceeding through innovative approaches to physical modeling, analysis, and design techniques.

2004. XVIII, 726 p. 102 illus. (Texts in Applied Mathematics, Volume 49) HardcoverISBN 978-0-387-22195-3

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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C. J. Bushnell, King's College, London, UK; G. Henniart, Université de Paris Sud, Orsay, France

The Local Langlands Conjecture for GL(2)This volume contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.

2006. XII, 354 p. (Grundlehren der mathematischen Wissenschaften, Volume 335) HardcoverISBN 978-3-540-31486-8

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C. Cabrelli, Universidad de Buenos Aires, Argentina; J. L. Torrea, Universidad Autónoma de Madrid, Spain (Eds.)

Recent Developments in Real and Harmonic AnalysisIn Honor of Carlos Segovia

A collection of invited chapters dedicated to Carlos Segovia, this volume examines recent developments in real and harmonic analysis. The work begins with a chronological descrip-tion of Segovia’s mathematical life, highlighting his original ideas and their evolution. Also included are surveys dealing with Carlos’ favorite topics and PDE works written by his students and colleagues.

2009. XXII, 196 p. 13 illus. (Applied and Numerical Harmonic Analysis) HardcoverISBN 978-0-8176-4531-1

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V. Capasso, D. Bakstein, Miriam Research Centre for Industrial and Applied Mathematics, Milan, Italy

An Introduction to Continuous-Time Stochastic ProcessesTheory, Models, and Applications to Finance, Biology, and Medicine

This concisely written book is a rigorous and self-contained introduction to the theory of continuous-time stochastic processes. Balancing theory and applications, the authors use stochastic methods and concrete examples to model real-world problems from engi-neering, biomathematics, biotechnology, and finance.

2005. XI, 343 p. 13 illus. (Modeling and Simulation in Science, Engineering and Technology) HardcoverISBN 978-0-8176-3234-2

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L. Carleson, Royal Institute of Technology, Stockholm, Sweden; T. W. Gamelin, University of California, Los Angeles, CA, USA

Complex DynamicsThis book discusses the properties of conformal mappings in the complex plane, a subject closely connected to the study of fractals and chaos. Focusing on analytic aspects of this contempo-rary topic, it includes a detailed study of the famous Mandelbrot set.

1993. Corr. 2nd printing 1993. IX, 192 p. 28 illus. (Universitext / Universitext: Tracts in Mathematics) SoftcoverISBN 978-0-387-97942-7

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R. . Carmona, Princeton University, Princeton, NJ, USA; M. Tehranchi, University of Cambridge, UK

Interest Rate Models: an Infinite Dimensional Stochastic Analysis PerspectiveThis book presents the mathematical issues that arise in modeling the interest rate term structure by casting the interest-rate models as stochastic evolution equations in infinite dimensions. The text includes a crash course on interest rates, a self-contained introduction to infinite dimensional stochastic analysis, and recent results in interest rate theory.

From the reviews 7 "A wonderful book. The authors present some cutting-edge math." 7 www.riskbook.com

2006. XIV, 235 p. (Springer Finance) HardcoverISBN 978-3-540-27065-2

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S. Carter, University of South Alabama, Mobile, AL, USA; S. Kamada, University of Hiroshima, Japan; M. Saito, University of South Florida, Tampa, FL, USA

Surfaces in 4-SpaceThis book discusses knotted surfaces in 4-dimensional space and surveys many of the known results, including knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory.

2004. XIII, 213 p. (Encyclopaedia of Mathematical Sciences, Volume 142) HardcoverISBN 978-3-540-21040-5

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M. Carter, B. v. Brunt, Massey University, Palmerston North, New Zealand

The Lebesgue-Stieltjes IntegralA Practical Introduction

This book is aimed at those students who find themselves needing to use the Lebesgue or Lebesgue-Stieltjes Integral before they have acquired the necessary theoretical background. The authors introduce the integral on the real line as a natural extension of the Riemann integral, making the treatment as practical as possible. They discuss the evaluation of Lebesgue-Stieltjes integrals in detail, as well as the standard convergence theorems, and conclude with a brief discussion of multivariate integrals and surveys of L spaces plus some applications.

2000. IX, 228 p. 45 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-95012-9

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E. Cascetta, Università di Napoli `Federico II', Napoli, Italia

Transportation Systems AnalysisModels and Applications

This book provides a full and systematic presentation of the mathematical models for the simulation of transportation systems and the methodologies for the analysis and design of these systems. Theoretical and operational aspects are rigorously presented.

2nd ed. 2009. XVII, 742 p. 100 illus. (Springer Optimization and Its Applications, Volume 29) HardcoverISBN 978-0-387-75856-5

List price7 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 186,50

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T. Cecil, College of the Holy Cross, Worcester, MA

Lie Sphere GeometryWith Applications to Submanifolds

Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applica-tions to the study of Euclidean submanifolds.

2nd ed. 2008. XII, 212 p. 26 illus. (Universitext) SoftcoverISBN 978-0-387-74655-5

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J. N. Cederberg, St. Olaf College, Northfield, NM, USA

A Course in Modern GeometriesThis book is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Coverage includes finite geometries in an axiomatic framework, Euclid and non-Euclidean geometry, isometries, similarities and affinities, plane projective geometry, chaos theory and fractal geometry. Throughout, each chapter includes a list of suggested resources for applications or related topics in areas such as art and history.

2nd ed. 2001. Corr. 2nd printing 2001. 151 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-98972-3

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M. Chang, U.S. Army Research Office, Durham, NC, USA

Stochastic Control of Hereditary Systems and ApplicationsThis research monograph develops the Hamilton-Jacobi-Bellman theory, a very active research area. It is intended for researchers and advanced graduate students who have special interest in optimal control theory and applica-tions of stochastic hereditary systems.

2008. XVIII, 406 p. (Stochastic Modelling and Applied Probability, Volume 59) HardcoverISBN 978-0-387-75805-3

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C. Chicone, University of Missouri, Columbia, MO, USA

Ordinary Differential Equations with ApplicationsDeveloped over 20 years of course instruction, this book links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and abstract algebra. Application is interwoven with theory throughout the text. This revised edition includes considerable new material; the impressive array of exercises has been more than doubled in size and enhanced in scope.

2nd ed. 2006. XX, 638 p. 73 illus. (Texts in Applied Mathematics, Volume 34) HardcoverISBN 978-0-387-30769-5

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L. N. Childs, State University of New York, Albany, NY, USA

A Concrete Introduction to Higher AlgebraThis book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. Over 900 exercises are found throughout the book.

3rd ed. 2009. XIV, 603 p. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-74527-5

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W. Ching, The University of Hong Kong, China; M. K. Ng, Hong Kong Baptist University, Hong Kong, China

Markov Chains: Models, Algorithms and ApplicationsMarkov chains are a powerful and widely used tool for analyzing a variety of stochastic systems over time. Systematically discusses all the models beginning with the basic to the more advanced and illustrates each of the models with the most recent and high interest applications and uses

2006. XIV, 208 p. 18 illus. (International Series in Operations Research & Management Science, Volume 83) HardcoverISBN 978-0-387-29335-6

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J. W. Chinneck, Carleton University, Ottawa, ON, Canada

Feasibility and Infeasibility in Optimization:Algorithms and Computational Methods

Written by a world leader in the field and aimed at researchers in applied and engineering sciences, this brilliant text has as its main goal imparting an understanding of the methods so that practitioners can make immediate use of existing algorithms and software, and so that researchers can extend the state of the art and find new applications. It includes algorithms on seeking feasibility and analyzing infeasibility, as well as describing new and surprising applica-tions.

2008. XXII, 274 p. 36 illus. (International Series in Operations Research & Management Science, Volume 118) HardcoverISBN 978-0-387-74931-0

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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G. S. Chirikjian, The Johns Hopkins University, Baltimore, MD, USA

Stochastic Models, Information Theory, and Lie Groups, Volume 1Classical Results and Geometric Methods

Tools and methods from stochastic processes, information theory, and Lie groups are used in a wide variety of problems in engineering and the physical sciences. Featuring extensive exercises and applications, this two-volume set presents these topics in a uniquely unified setting.

2009. XXII, 383 p. 13 illus. (Applied and Numerical Harmonic Analysis) HardcoverISBN 978-0-8176-4802-2

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Y. S. Chow, Columbia University, New York, NY, USA; H. Teicher, Rutgers University, New Brunswick, NJ, USA

Probability TheoryIndependence, Interchangeability, Martingales

Now in paperback, this text covers major theorems of probability theory and the measure theoretical foundations of the subject. Main topics treated are independence, interchange-ability, and martingales, with special emphasis on stopping time, both as tools in proving theorems and as objects of interest themselves. This edition contains much new material, such as U-statistic, additional theorems and examples, and simpler versions of some proofs.

3rd ed. 1997. 2nd printing 1997. XXII, 488 p. (Springer Texts in Statistics) SoftcoverISBN 978-0-387-40607-7

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O. Christensen, Technical University of Denmark, Lyngby, Denmark

An Introduction to Frames and Riesz BasesBasic results presented in an accessible way for both pure and applied mathematicians. Extensive exercises make the work suitable as a textbook for use in graduate courses. Full proofs included in introductory chapters; only basic knowledge of functional analysis required. Explicit constructions of frames with applica-tions and connections to time-frequency analysis, wavelets, and nonharmonic Fourier series

2003. 464 p. 16 illus. (Applied and Numerical Harmonic Analysis) HardcoverISBN 978-0-8176-4295-2

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J. Coates, University of Cambridge, UK; R. Sujatha, Institute of Fundamental Research, Mumbai, India

Cyclotomic Fields and Zeta ValuesWritten by two leading workers in the field, this brief but elegant book presents in full detail the simplest proof of the "main conjecture" for cyclotomic fields. Its motivation stems not only from the inherent beauty of the subject, but also from the wider arithmetic interest of these questions.

2006. X, 116 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-33068-4

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H. Cohen, Universite de Bordeaux 1, Talence, France

Advanced Topics in Computional Number TheoryWritten by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.

2000. XV, 578 p. 7 illus. (Graduate Texts in Mathematics, Volume 193) HardcoverISBN 978-0-387-98727-9

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P. Collet, J. Eckmann

Iterated Maps on the Interval as Dynamical SystemsThis work explains early results of the theory of continuous maps of an interval to itself to mathematicians and theoretical physicists, and aims to inspire further inquiry into these phenomena of beautiful regularity, which often appear near chaotic systems.

Reprint of the 1980. 1980. X, 248 p. 67 illus. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4926-5

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W. Coppel, Australia National University, Canberra, ACT, Australia

Number TheoryAn Introduction to Mathematics

This modern introduction to number theory is divided into two parts. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics.

2nd ed. 2009. XIII, 610 p. 17 illus. (Universitext) SoftcoverISBN 978-0-387-89485-0

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D. A. Cox, Amherst College, Amherst, MA, USA; J. Little, College of the Holy Cross, Worcester, MA, USA; D. O'Shea, Mount Holyoke College, South Hadley, MA, USA

Ideals, Varieties, and AlgorithmsAn Introduction to Computational Algebraic Geometry and Commutative Algebra

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory.

3rd ed. 2007. Corr. 2nd printing 2007. XVI, 560 p. 93 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-35650-1

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R. F. Curtain, University of Groningen; H. Zwart, University of Twente, Enschede, The Netherlands

An Introduction to Infinite-Dimensional Linear Systems TheoryThis book introduces infinite dimensional linear systems, treating both state-space and frequency-domain aspects in an integrated fashion that is accessible to graduate engineers and mathematicians with a minimal back-ground in functional analysis.

1995. XVIII, 698 p. 29 illus. (Texts in Applied Mathematics, Volume 21) HardcoverISBN 978-0-387-94475-3

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M. L. Curtis, Rice University, Houston, TX, USA

Abstract Linear AlgebraAssisted by P. Place

Intended for a first course on the subject, this text begins from scratch and develops the standard topics of Linear Algebra. Its progresses simply towards its ultimate goal, the Theorem of Hurwitz, which argues that the only normed algebras over the real numbers are the real numbers, the complex numbers, the quater-nions, and the octonions. The book stresses the complete logical development of the subject.

1990. X, 184 p. (Universitext) SoftcoverISBN 978-0-387-97263-3

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G. Da Prato, Centre de Recerca Matemàtica, Barcelona, Spain

Kolmogorov Equations for Stochastic PDEsKolmogorov Equations for Stochastic PDEs gives an introduction to stochastic partial differential equations, such as reaction-diffu-sion, Burgers and 2D Navier-Stokes equations, perturbed by noise. It studies several properties of corresponding transition semigroups, such as Feller and strong Feller properties, irreduc-ibility, existence and uniqueness of invariant measures. In addition, the transition semi-groups are interpreted as generalized solutions of Kologorov equations.

2004. VII, 182 p. (Advanced Courses in Mathematics - CRM Barcelona) SoftcoverISBN 978-3-7643-7216-3

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G. B. Dantzig, Stanford University, Stanford, CA, USA; M. N. Thapa, Stanford Business Software, Inc., Palo Alto, CA, USA

Linear Programming2: Theory and Extensions

This volume includes additional advanced topics such as variants of the simplex method; interior point methods (early and current methods), GUB, decomposition, integer programming, and game theory. Graduate students in the fields of operations research, industrial engineering and applied mathematics will find this to be of particular interest.

2003. XXV, 448 p. 45 illus. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-0-387-98613-5

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O. Debarre, IRMA - Universite Louis Pasteur - CNRS, Strasbourg, France

Higher-Dimensional Algebraic GeometryThe classification theory of algebraic varieties is the focus of this book. This very active area of research is still developing, but an amazing quantity of knowledge has accumulated over the past twenty years. The authors goal is to provide an easily accessible introduction to the subject. The book starts with preparatory and standard definitions and results, then moves on to discuss various aspects of the geometry of smooth projective varieties with many rational curves, and finishes in taking the first steps towards Moris minimal model program of classification of algebraic varieties by proving the cone and contraction theorems.

2001. XIII, 233 p. 16 illus. (Universitext) HardcoverISBN 978-0-387-95227-7

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A. Deitmar, University of Tübingen, Germany

A First Course in Harmonic AnalysisThis primer in harmonic analysis begins with an introduction to Fourier analysis, leading up to the Poisson Summation Formula. Next, it shows that both the Fourier series and the Fourier transform are special cases of a more general theory arising in the context of locally compact abelian groups. Finally, it introduces techniques used in harmonic analysis of noncommutative groups. Included are new chapters on distribu-tions and on the Heisenberg Group.

2nd ed. 2005. XII, 204 p. (Universitext) SoftcoverISBN 978-0-387-22837-2

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P. Deuflhard, Zuse Institute Berlin (ZIB), Berlin, Germany

Newton Methods for Nonlinear ProblemsAffine Invariance and Adaptive Algorithms

This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite and in infinite dimension. Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems.

2004. Corr. 2nd printing 2004. XII, 424 p. 48 illus. (Springer Series in Computational Mathematics, Volume 35) HardcoverISBN 978-3-540-21099-3

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00

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P. Deuflhard, Konrad-Zuse-Zentrum Berlin, Germany; F. Bornemann, Munich University of Technology, Munich, Germany

Scientific Computing with Ordinary Differential EquationsTransl. German from W. Rheinboldt

The textbook provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving boundary value problems in ordinary differen-tial equations. The book strictly presents numerical analysis as part of the more general field of scientific computing. Written with accessibility in mind, it covers a wide range of both classical and modern topics, and includes a generous supply of exercises at the end of each chapter.

2002. XIX, 485 p. 37 illus. (Texts in Applied Mathematics, Volume 42) HardcoverISBN 978-0-387-95462-2

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A. Deutsch, L. Brusch, H. Byrne, G. d. Vries, H. Herzel (Eds.)

Mathematical Modeling of Biological Systems, Volume ICellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis

Volume I is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. The chapters are themati-cally organized into the following main areas: cellular biophysics, regulatory networks, developmental biology, biomedical applications, data analysis and model validation.

2007. XVIII, 382 p. 120 illus. (Modeling and Simulation in Science, Engineering and Technology) HardcoverISBN 978-0-8176-4557-1

List price7 € 99,95 | £89.507 * € (D) 106,95 | € (A) 109,95 | sFr 154,50

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A. Deutsch, R. Bravo de la Parra, R. J. Boer, O. Diekmann, P. Jagers, E. Kisdi, M. Kretzschmar, P. Lansky, H. Metz (Eds.)

Mathematical Modeling of Biological Systems, Volume IIEpidemiology, Evolution and Ecology, Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods

Highlighted throughout are mathematical and computational apporaches to examine central problems in the life sciences, ranging from the organization principles of individual cells to the dynamics of large populations.

2008. XVIII, 390 p. 119 illus. (Modeling and Simulation in Science, Engineering and Technology) HardcoverISBN 978-0-8176-4555-7

List price7 € 89,90 | £81.007 * € (D) 96,19 | € (A) 98,89 | sFr 149,00

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E. DiBenedetto, Northwestern University, Evanston, IL, USA

Degenerate Parabolic EquationsEvolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.

1993. XV, 387 p. 12 illus. (Universitext) SoftcoverISBN 978-0-387-94020-5

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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E. DiBenedetto, Vanderbilt University, Nashville, TN USA

Real AnalysisThis graduate text in real analysis is a solid building block for research in analysis, PDEs, the calculus of variations, probability, and approximation theory. It covers all the core topics, such as a basic introduction to functional analysis, and it discusses other topics often not addressed including Radon measures, the Besicovitch covering Theorem, the Rademacher theorem, and a constructive presentation of the Stone-Weierstrass Theoroem.

2002. XXIV, 516 p. (Birkhäuser Advanced Texts Basler Lehrbücher) HardcoverISBN 978-0-8176-4231-0

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J. Dieudonné

A History of Algebraic and Differential Topology, 1900 - 1960Written by a world-renowned mathematician, this well informed and classic text traces the history of algebraic topology, beginning with its creation in the early 1900s. It goes on to describe in detail the important theories that were discovered before 1960.

1989. Softcover printing of hardcover edition. 2009. XXIV, 648 p. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4906-7

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A. Dimca, Université de Nice-Sophia-Antipolis, Nice, France

Sheaves in TopologyConstructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds. This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant) coefficients. The author helps readers progress quickly from the basic theory to current research questions, thor-oughly supported along the way by examples and exercises.

2004. XVI, 236 p. (Universitext) SoftcoverISBN 978-3-540-20665-1

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U. Diwekar, Vishwamitra Research Institute, Clarendon Hills, IL

Introduction to Applied OptimizationThis book presents a view of optimization independent of any discipline. This new edition contains two new chapters, one on global optimization and one of a real-world case study that uses the principles from each chapter in the book.

2nd ed. 2008. XXVI, 292 p. 100 illus. (Springer Optimization and Its Applications, Volume 22) HardcoverISBN 978-0-387-76634-8

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J. D. Dixon, B. Mortimer, University of Ottawa, Ont., Canada

Permutation GroupsUsing basic ideas and examples in the theory of permutation groups, this book develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the O'Nan-Scott Theorem, linking finite primitive groups and finite simple groups.

1996. 364 p. 10 illus. (Graduate Texts in Mathematics, Volume 163) HardcoverISBN 978-0-387-94599-6

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A. Dolgui, Ecole des Mines de Saint Etienne, France; J. Soldek, O. Zaikin, Technical University of Szczecin, Poland (Eds.)

Supply Chain OptimisationProduct/Process Design, Facility Location and Flow Control

This volume collects recent results in supply chain optimisation. It presents new approaches and methods based on operations research, artificial intelligence and advanced computing techniques for design of production systems, supply and inventory management, production planning and scheduling, location, transporta-tion and logistics, and simulation in supply flow optimisation.

2005. XVI, 289 p. (Applied Optimization, Volume 94) HardcoverISBN 978-0-387-23566-0

List price7 € 114,95 | £106.007 * € (D) 123,00 | € (A) 126,45 | sFr 183,00

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A. L. Dontchev, Ann Arbor, MI, USA; R. T. Rockafellar, University of Washington, Seattle, WA, USA

Implicit Functions and Solution MappingsA View from Variational Analysis

This text on the implicit function paradigm is a self-contained reference that unifies a collection of many results scattered throughout other literature. It contains numerous exercises and a large amount of historical information.

2009. XII, 376 p. 12 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-87820-1

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J. Doob, Urbana, IL, USA

Measure TheoryThis text is unique in accepting probability theory as an essential part of measure theory. Therefore, many examples are taken from probability, and probabilistic concepts such as independence and Markov processes are integrated into the text.

1994. 228 p. (Graduate Texts in Mathematics, Volume 143) HardcoverISBN 978-0-387-94055-7

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G. E. Dullerud, University of Illinois, Urbana, IL, USA; F. Paganini, University of California, Los Angeles, CA, USA

A Course in Robust Control TheoryA Convex Approach

Research in robust control theory has been one of the most active areas of mainstream systems. This research activity has been at the confluence of dynamical systems theory, functional analysis, matrix analysis, numerical methods, complexity theory, and engineering applica-tions. The discipline involves interactions between diverse research groups including pure and applied mathematicians, computer scientists, and engineers. During the 90's the theory has seen major advances and has achieved a new maturity, centered around the notion of convexity.

2000. Corr. 2nd printing 2000. XX, 444 p. 36 illus. (Texts in Applied Mathematics, Volume 36) HardcoverISBN 978-0-387-98945-7

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F. Dumortier, Hasselt University, Diepenbeek, Belgium; J. Llibre, J. C. Artés, Universitat Autònoma de Barcelona, Bellaterra, Spain

Qualitative Theory of Planar Differential SystemsThis book explores systems of polynomial autonomous ordinary differential equations in two real variables, emphasizing the qualitative without neglecting more algebraic aspects. Late chapters introduce the performant software tool P4. Provides simple and appropriate proofs, and numerous exercises.

2006. XVI, 302 p. 123 illus. (Universitext) SoftcoverISBN 978-3-540-32893-3

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B. I. Dundas, University of Oslo, Norway; M. Levine, Northeastern University, Boston, MA, USA; P. Østvær, University of Oslo, Norway; O. Röndigs, University of Bielefeld, Germany; V. Voevodsky, University of Princeton, NJ, USA

B. Jahren, University of Oslo, Norway (Ed.)

Motivic Homotopy TheoryLectures at a Summer School in Nordfjordeid, Norway, August 2002

This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work.

2007. X, 226 p. (Universitext) SoftcoverISBN 978-3-540-45895-1

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R. Durrett, Cornell University, Ithaca, NY, USA

Probability Models for DNA Sequence EvolutionThis book presents mathematical techniques for understanding sequence evolution. The theory is developed in close connection with data from more than 60 experimental studies that illustrate the use of these results.

2nd ed. 2008. XII, 432 p. (Probability and Its Applications) HardcoverISBN 978-0-387-78168-6

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H. Ebbinghaus, J. Flum, University of Freiburg, Germany

Finite Model TheoryThis is a thoroughly revised and enlarged second edition that presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently.

2nd ed. 1999. 2nd printing 1999. XI, 360 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-28787-2

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H. Ebbinghaus, J. Flum, University of Freiburg, Germany; W. Thomas, University of Kiel, Germany

Mathematical LogicThis introduction to first-order logic clearly works out the role of first-order logic in the foundations of mathematics, particularly the two basic questions of the range of the axiomatic method and of theorem-proving by machines.

2nd ed. 1994. Corr. 2nd printing 1994. X, 308 p. 13 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-94258-2

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S. D. Eidelman, A. N. Kochubei, National Academy of Sciences of Ukraine, Kiev, Ukraine; S. D. Ivasyshen, Chernivtsi National University, Uganda

Analytic Methods in the Theory of Differential and Pseudo-Differential Equations of Parabolic TypeThis book is devoted to new classes of parabolic differential and pseudo-differential equations extensively studied in the last decades, such as parabolic systems of a quasi-homogeneous structure, degenerate equations of the Kolmogorov type, pseudo-differential parabolic equations, and fractional diffusion equations. It will appeal to mathematicians interested in new classes of partial differential equations, and physicists specializing in diffusion processes.

2004. IX, 386 p. HardcoverISBN 978-3-7643-7115-9

List price7 € 139,00 | £110.007 * € (D) 148,73 | € (A) 152,90 | sFr 229,00

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J. Elias, J. M. Giral, R. M. Miró-Roig, S. Zarzuela, Universitat de Barcelona, Spain (Eds.)

Six Lectures on Commutative AlgebraBased on the Summer School on Commutative Algebra at the Centre de Recerca Matematica in Bellaterra, this volume offers an overview of research in the field. Readers will find a fresh and extensive account of the results, techniques and problems discussed.

1st. ed 1998. 2nd printing 1998. 412 p. (Modern Birkhäuser Classics) SoftcoverISBN 978-3-0346-0328-7

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D. Elliott, University of Maryland, College Park, MD, USA

Bilinear Control SystemsMatrices in Action

Aimed at first-year graduates, this book introduces and surveys bilinear control systems theory from a mathematical viewpoint. Topics include an introduction to Lie algebras, matrix groups and semigroups; and series representa-tions for input-outputmappings.

2009. X, 281 p. 8 illus., 2 in color. (Applied Mathematical Sciences, Volume 169) HardcoverISBN 978-1-4020-9612-9

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P. Embrechts, ETH Zürich, Switzerland; C. Klüppelberg, Munich University of Technology, Garching, Germany; T. Mikosch, University of Copenhagen, Denmark

Modelling Extremal Eventsfor Insurance and Finance

From the reviews 7 "A reader's first impression on leafing through this book is of the large number of graphs and diagrams, used to illustrate shapes of distributions...and to show real data examples in various ways. A closer reading reveals a nice mix of theory and applications, with the copious graphical illustrations alluded to. Such a mixture is of course dear to the heart of the applied probabilist/statistician, and should impress even the most ardent theorists." 7 Mathematical Reviews

1997. Corr. 4th printing 1997. XVI, 648 p. 100 illus. (Stochastic Modelling and Applied Probability, Volume 33) HardcoverISBN 978-3-540-60931-5

List price7 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50

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K. Engel, Faculty of Engineering, University of L'Aquila, Italy; R. Nagel, University of Tübingen, Germany

A Short Course on Operator SemigroupsThe book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.

2006. XII, 247 p. 3 illus. (Universitext) HardcoverISBN 978-0-387-31341-2

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G. Evans, J. Blackledge, P. Yardley, De Montfort University, Leicester, UK

Analytic Methods for Partial Differential EquationsThis is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics.

2000. XII, 316 p. 25 illus. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-3-540-76124-2

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G. Everest, T. Ward, University of East Anglia, Norwich, UK

An Introduction to Number TheoryThis book provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory.

2005. Corr. 2nd printing 2005. X, 302 p. 16 illus. (Graduate Texts in Mathematics, Volume 232) HardcoverISBN 978-1-85233-917-3

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M. Fabian, P. Hajek, J. Pelant, Czech Academy of Sciences, Prague, Czech Republic; P. Habala, Czech Technical University, Prague, Czech Republic; V. Montesinos Santalucia, Polytechnic University of Valencia, Spain; V. Zizler, University of Alberta, Edmonton, AB, USA

Functional Analysis and Infinite-Dimensional GeometryThis book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.

2001. IX, 451 p. (CMS Books in Mathematics) HardcoverISBN 978-0-387-95219-2

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R. Farouki, University of California, Davis, CA, USA

Pythagorean-Hodograph Curves: Algebra and Geometry InseparableThis book offers a comprehensive and self-contained treatment of the mathematical theory of Pythagorean-hodograph curves, including algorithms for their construction and examples of their practical applications.

2008. XVI, 728 p. 204 illus. HardcoverISBN 978-3-540-73397-3

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R. Fenn, University of Sussex, Brighton, UK

GeometryIntended to introduce readers to the major geometrical topics taught at undergraduate level in a manner that is both accessible and rigorous, the author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them.

2001. Uncorr. 4th printing 2001. XII, 313 p. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-058-3

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D. Filipovic, Ecole Polytechnique Fédérale de Lausanne

Term-Structure ModelsA Graduate Course

This graduate textbook provides an introduc-tion to the mathematics of term structure models in continuous time. The focus is on a mathematically straightforward but rigorous development of the theory.

2009. XII, 256 p. (Springer Finance) HardcoverISBN 978-3-540-09726-6

List price7 € 39,95 | £34.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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F. J. Flanigan, San Jose State University, San Jose, CA, USA; J. L. Kazdan, University of Pennsylvania, Philadelphia, PA, USA

Calculus TwoLinear and Nonlinear Functions

Editorial board: D. L. Frank, B. E. Fristedt, L. F. Gray

This book introduces linear algebra in an intuitive geometric setting as the study of linear maps and to use these simpler linear functions to study more complicated nonlinear functions. The revised second edition includes many exercises and illustrations.

2nd ed. 1990. Corr. 2nd printing 1990. XVII, 644 p. 207 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-97388-3

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W. H. Fleming, Brown University, Providence, RI, USA; H. M. Soner, Koc University, Istanbul, Turkey

Controlled Markov Processes and Viscosity SolutionsThis book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for determin-istic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.

2nd ed. 2006. XVII, 429 p. (Stochastic Modelling and Applied Probability, Volume 25) HardcoverISBN 978-0-387-26045-7

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9<HTLDTH=cgaefh>

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L. d. Floriani, M. Spagnuolo, University of Genova, Italy (Eds.)

Shape Analysis and StructuringWith a lot of recent developments in the field, this much-needed book has come at just the right time. It covers a variety of topics related to preserving and enhancing shape information at a geometric level. The contributors also cover subjects that are relevant to effectively capturing the structure of a shape by identifying relevant shape components and their mutual relation-ships.

2008. XVI, 296 p. 185 illus., 29 in color. (Mathematics and Visualization) HardcoverISBN 978-3-540-33264-0

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E. Freitag, R. Busam, Universität Heidelberg, Germany

Complex AnalysisThis book offers an extensive description of the classical complex analysis, roughly meaning that sheaf theoretical and cohomological methods are omitted. Over 400 exercises are included, and the text has been heavily revised for this new edition.

2nd ed. 2009. X, 532 p. 112 illus., 2 in color. (Universitext) SoftcoverISBN 978-3-540-93982-5

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J. Fresnel, Université de Bordeaux I, Talence, France; M. van der Put, Rijksuniversiteit Groningen, The Netherlands

Rigid Analytic Geometry and Its ApplicationsRigid (analytic) spaces were invented to describe degenerations, reductions, and moduli of algebraic curves and abelian varieties. This work, a revised and greatly expanded new English edition of an earlier French text by the same authors, presents important new developments and applications of the theory of rigid analytic spaces to abelian varieties, "points of rigid spaces," étale cohomology, Drinfeld modular curves, and Monsky-Washnitzer cohomology.

2003. XII, 300 p. 10 illus. (Progress in Mathematics, Volume 218) HardcoverISBN 978-0-8176-4206-8

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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G. Fusai, Università del Piemonte Orientale, Novara, Italy; A. Roncoroni, ESSEC Graduate Business School, Cergy Pontoise, France

Implementing Models in Quantitative Finance: Methods and CasesThis book puts numerical methods in action for the purpose of solving practical problems in quantitative finance. It fills a gap in the current published literature by delivering a case-study collection together with a self-contained course on major numerical methods developed and used by the finance industry.

2008. XXIII, 608 p. 150 illus., 5 in color. (Springer Finance) HardcoverISBN 978-3-540-22348-1

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O. Ganyushkin, Kyiv Taras Shevchenko University, Kyiv, Ukraine; V. Mazorchuk, University of Uppsala, Uppsala, Sweden

Classical Finite Transformation SemigroupsAn Introduction

This book provides an introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It contains many exercises and historical comments.

2009. XII, 328 p. 4 illus. (Algebra and Applications, Volume 9) HardcoverISBN 978-1-84800-280-7

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B. R. Gelbaum, State University of New York, Buffalo, NY, USA

Problems in Real and Complex AnalysisThis text covers many principal topics in the theory of functions of a complex variable. These include, in real analysis, set algebra, measure and topology, real- and complex-valued functions, and topological vector spaces. In complex analysis, they include polynomials and power series, functions holomorphic in a region, entire functions, analytic continuation, singularities, harmonic functions, families of functions, and convexity theorems.

1992. X, 504 p. 18 illus. (Problem Books in Mathematics) HardcoverISBN 978-0-387-97766-9

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R. Geoghegan, Binghamton University (SUNY), Binghamton, NY, USA

Topological Methods in Group TheoryIn what is set to be a classic in the field, Ross Geoghegan explores the interplay between algebraic topology and the theory of infinite discrete groups. He has written nothing less than a hugely important contribution to the field of topological and geometric group theory.

2008. XVI, 473 p. 41 illus. (Graduate Texts in Mathematics, Volume 243) HardcoverISBN 978-0-387-74611-1

List price7 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00

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L. J. Gerstein, University of California, Santa Barbara, CA, USA

Introduction to Mathematical Structures and ProofsThis acclaimed book aids the transition from lower-division calculus to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology and more, with examples, images, exercises and a solution manual for instructors.

1996. Corr. 4th printing 1996. X, 350 p. 103 illus. (Textbooks in Mathematical Sciences) HardcoverISBN 978-0-387-97997-7

List price7 € 55,95 | £50.997 * € (D) 59,87 | € (A) 61,55 | sFr 86,50

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S. R. Ghorpade, B. V. Limaye, Indian Institute of Technology, Bombay, India

A Course in Calculus and Real AnalysisThis book provides a self-contained and rigorous introduction to calculus of functions of one variable, in a presentation which empha-sizes the structural development of calculus. Contains examples and a large selection of exercises, as well as Notes and Comments.

2006. X, 432 p. 71 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-30530-1

List price7 € 51,95 | £46.997 * € (D) 55,59 | € (A) 57,15 | sFr 80,50

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M. Giaquinta, University of Florence, Italy; S. Hildebrandt, University of Bonn, FRG

Calculus of Variations IIThe Hamiltonian Formalism

This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.

1996. Corr. 2nd printing 1996. XXIX, 652 p. 82 illus. (Grundlehren der mathematischen Wissenschaften, Volume 311) HardcoverISBN 978-3-540-57961-8

List price7 € 129,95 | £103.007 * € (D) 139,05 | € (A) 142,95 | sFr 186,50

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S. Givant, Mills College, Oakland, CA, USA; P. Halmos

Introduction to Boolean AlgebrasThis book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.

2009. XIV, 574 p. 10 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-40293-2

List price7 € 42,95 | £38.997 * € (D) 45,96 | € (A) 47,25 | sFr 62,00

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E. Godlewski, University of Paris, France; P. Raviart, Paris, France

Numerical Approximation of Hyperbolic Systems of Conservation LawsThis work explores the theory and approxima-tion of nonlinear hyperbolic systems of conservation laws in one or two spaces variables. The authors consider systems and the theoretical aspects needed in applications, such as the solution of the Riemann problem.

1996. VIII, 524 p. 75 illus. (Applied Mathematical Sciences, Volume 118) HardcoverISBN 978-0-387-94529-3

List price7 € 99,95 | £89.507 * € (D) 106,95 | € (A) 109,95 | sFr 154,50

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C. Godsil, University of Waterloo, ON, Canada; G. F. Royle, University of Western Australia, Nedlands, WA, Australia

Algebraic Graph TheoryThis book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.

2001. XIX, 439 p. 120 illus. (Graduate Texts in Mathematics, Volume 207) HardcoverISBN 978-0-387-95241-3

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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R. Goldblatt, Victoria University, Wellington, New Zealand

Lectures on the HyperrealsAn Introduction to Nonstandard Analysis

Based on the author's lectures, this book introduces nonstandard analysis as a radically different way of viewing mathematical concepts and constructions, a source of new ideas, objects and proofs and a wellspring of powerful new principles of reasoning.

1998. XIV, 312 p. (Graduate Texts in Mathematics, Volume 188) HardcoverISBN 978-0-387-98464-3

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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D. Goldschmidt, IDA Center for Communications Research, Princeton, NJ, USA

Algebraic Functions and Projective CurvesThis book gives an introduction to algebraic functions and projective curves. It covers a wide range of material by dispensing with the machinery of algebraic geometry and proceeding directly via valuation theory to the main results on function fields. It also develops the theory of singular curves by studying maps to projective space, including topics such as Weierstrass points in characteristic p, and the Gorenstein relations for singularities of plane curves.

2003. XVI, 179 p. (Graduate Texts in Mathematics, Volume 215) HardcoverISBN 978-0-387-95432-5

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R. Goodman, Rutgers University, New Brunswick, NJ, USA; N. R. Wallach, University of California, San Diego, CA, USA

Symmetry, Representations, and InvariantsThis book is a significant reworking of an earlier work by the authors. It offers a comprehensive introduction to Lie theory, representation theory, invariant theory, and algebraic groups, in a new presentation that includes a broader range of applications.

2009. XX, 716 p. 10 illus. (Graduate Texts in Mathematics, Volume 255) HardcoverISBN 978-0-387-79851-6

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L. Grafakos, University of Missouri, Columbia, MO, USA

Modern Fourier AnalysisThe primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. There are historical notes at the end of each chapter, and examples illustrate the definitions and ideas.

2nd ed. 2009. XV, 507 p. 27 illus. (Graduate Texts in Mathematics, Volume 250) HardcoverISBN 978-0-387-09433-5

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A. Granas, Universite de Montreal, QC, Canada ; J. Dugundji

Fixed Point TheoryThe theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-orga-nized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications.

From the reviews 7 "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." 7 Mathematical Reviews

2003. XVI, 696 p. 13 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-00173-9

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G. Greaves, University of Wales, Cardiff, UK

Sieves in Number TheoryThis book surveys the current state of the "small" sieve methods developed by Brun, Selberg and later workers. The book is suitable for university graduates making their first acquaintance with the subject, leading them towards the frontiers of modern research and unsolved problems in the subject area.

2001. XII, 304 p. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics, Volume 43) HardcoverISBN 978-3-540-41647-0

List price7 € 149,95 | £118.507 * € (D) 160,45 | € (A) 164,95 | sFr 249,00

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W. H. Greub

Linear AlgebraHere is a detailed and comprehensive presenta-tion of linear algebra based on axiomatic treatment of linear spaces. The text maintains a balance between modern algebraic interests and traditional linear algebra. Revised, with new material and exercises.

4th ed. 1975. Rev. 2nd printing 1975. XVII, 476 p. 5 illus. (Graduate Texts in Mathematics, Volume 23) HardcoverISBN 978-0-387-90110-7

List price7 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 116,50

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G. R. Grimmett, University of Cambridge, UK

The Random-Cluster ModelThe random-cluster model has emerged as a key tool in the mathematical study of ferromagne-tism. It may be viewed as an extension of percolation to include Ising and Potts models, and its analysis is a mix of arguments from probability and geometry. The Random-Cluster Model contains accounts of the subcritical and supercritical phases, together with clear statements of important open problems. The book includes treatment of the first-order (discontinuous) phase transition.

2006. Corr., 2nd printing 2009 2006. XIV, 380 p. 37 illus. (Grundlehren der mathematischen Wissenschaften, Volume 333) HardcoverISBN 978-3-540-32890-2

List price7 € 89,95 | £71.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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T. Gross, MPI for the Physics of Complex Systems, Dresden, Germany; H. Sayama, State University of New York, Binghamton, NY, USA (Eds.)

Adaptive NetworksTheory, Models and Applications

This state-of-the-art survey of adaptive, complex networks features leading researchers who set out to define the future scope and direction of some of the most advanced developments in the vast field of complex network science and its applications.

2009. XIX, 332 p. 162 illus., 15 in color. (Understanding Complex Systems) HardcoverISBN 978-3-642-01283-9

List price7 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 172,00

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E. Grosswald, Technion, Haifa, Israel

Topics from the Theory of NumbersThe publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, the book offers the reader a diverse range of subjects to investigate.

2nd ed. 1984. Reprint 1984. XVIII, 333 p. 8 illus. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4837-4

List price7 € 39,90 | £35.997 * € (D) 42,69 | € (A) 43,89 | sFr 69,90

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G. Grubb, University of Copenhagen, Koebenhavn, Denmark

Distributions and OperatorsThis book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution theory as a standard text. Each chapter has been enhanced with many exercises and examples.

2009. XII, 464 p. 8 illus. (Graduate Texts in Mathematics, Volume 252) HardcoverISBN 978-0-387-84894-5

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B. Grünbaum, University of Washington, Seattle, WA, USA; G. M. Ziegler, Technische Universitat, Berlin, Germany (Ed.)

Convex PolytopesPrepared with the Cooperation of Victor Klee, Micha Perles, and Geoffrey C. Shephard

From the reviews 7 "The original edition [...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." 7 Peter McMullen, University College London

2nd ed. 2003. XVI, 466 p. 162 illus. (Graduate Texts in Mathematics, Volume 221) SoftcoverISBN 978-0-387-40409-7

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M. Gundlach, Aareal Bank AG, Wiesbaden, Germany; F. Lehrbass, Deutsche Genossenschafts-Hypothekenbank AG, Hamburg, Germany (Eds.)

CreditRisk+ in the Banking IndustryCreditRisk+ is a widely implemented default-mode model of portfolio credit risk, based on a methodology borrowed from actuarial mathematics. This book gives ability to describe, manage and price credit risk. This timely book will be an indispensable tool.

2004. XII, 369 p. (Springer Finance) HardcoverISBN 978-3-540-20738-2

List price7 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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X. Guo, Zhongshan University, Guangzhou, Peoples Republic of China; O. Hernández-Lerma, Instituto Politécnico Nacional, Mexico

Continuous-Time Markov Decision ProcessesTheory and Applications

This volume provides the first book entirely devoted to recent developments on the theory and applications of continuous-time Markov decision processes (MDPs). The MDPs presented here include most of the cases that arise in applications.

2009. XVII, 231 p. (Stochastic Modelling and Applied Probability, Volume 62) HardcoverISBN 978-3-642-02546-4

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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B. Gustafsson, Uppsala, Sweden

High Order Difference Methods for Time Dependent PDEThis book covers high order finite difference methods for time dependent PDE. It gives an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three funda-mental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the eneregy method and the Laplace transform.

2008. XVI, 334 p. (Springer Series in Computational Mathematics, Volume 38) HardcoverISBN 978-3-540-74992-9

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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A. Gut, Uppsala University, Uppsala, Sweden

An Intermediate Course in ProbabilityThis book covers the basic results and methods in probability theory. This new edition offers updated content, 100 additional problems for solution, and a new chapter glimpsing further topics such as stable distributions, domains of attraction and martingales.

2nd ed. 2009. XIV, 302 p. (Springer Texts in Statistics) HardcoverISBN 978-1-4419-0161-3

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E. Gyori, G. O. Katona, Hungarian Academy of Sciences, Budapest, Hungary; L. Lovász, Eötvös University, Budapest, Hungary (Eds.)

Horizons of CombinatoricsThis book offers high level surveys of discrete mathematics, including combinatorial number theory, set theory and recently random structures, and combinatorial geometry; most of the authors spoke at the 2006 "Horizons of Combinatorics" conference in Hungary.

2008. 280 p. (Bolyai Society Mathematical Studies, Volume 17) HardcoverISBN 978-3-540-77199-9

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E. Hairer, G. Wanner, University of Geneva, Switzerland

Analysis by Its HistoryThis book presents first-year calculus roughly in the order in which it was first discovered. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading.

1996. Corr. 3rd printing 1996. X, 377 p. 192 illus. (Undergraduate Texts in Mathematics / Readings in Mathematics) HardcoverISBN 978-0-387-94551-4

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A. Hald, University of Copenhagen, Denmark

A History of Parametric Statistical Inference from Bernoulli to Fisher, 1713-1935Covering the more than 200 year period between James Bernoulli and R.A. Fisher, this book offers a detailed history of parametric statistical inference. Lively biographical sketches of many of the main characters are featured throughout.

2007. XIV, 226 p. 11 illus. (Sources and Studies in the History of Mathematics and Physical Sciences) HardcoverISBN 978-0-387-46408-4

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P. Halmos, Santa Clara University, Santa Clara, CA, USA

A Hilbert Space Problem BookWritten for the active reader with some background in the topic, this book presents problems in Hilbert space theory, with definitions, corollaries and historical remarks, hints, proofs, answers and constructions.

2nd rev. and enlarged ed. 1982. 396 p. (Graduate Texts in Mathematics, Volume 19) HardcoverISBN 978-0-387-90685-0

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T. S. Han, University of Electro-Communications, Tokyo, Japan

Information-Spectrum Methods in Information TheoryTransl. Japanese from H. Koga

From the reviews 7 "This book nicely comple-ments the existing literature on information and coding theory by concentrating on arbitrary nonstationary and/or nonergodic sources and channels with arbitrarily large alphabets. Even with such generality the authors have managed to successfully reach a highly unconventional but very fertile exposition rendering new insights into many problems." 7 Mathematical Reviews

2003. XVII, 538 p. 46 illus. (Stochastic Modelling and Applied Probability, Volume 50) HardcoverISBN 978-3-540-43581-5

List price7 € 74,95 | £67.997 * € (D) 80,20 | € (A) 82,45 | sFr 107,50

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J. Harris, Furman University, Greenville, SC, USA; J. L. Hirst, Appalachian State University, Boone, NC, USA; M. Mossinghoff, Davidson College, Davidson, NC, USA

Combinatorics and Graph TheoryThe second edition of this text on combinatorics and graph theory includes new material on an array topics ranging from Eulerian trails to combinatorial geometry to the pigeonhole principle. There are also numerous new exercises throughout the book.

2nd ed. 2008. XV, 381 p. 165 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-79710-6

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J. Heinonen, University of Michigan, Ann Arbor, MI, USA

Lectures on Analysis on Metric SpacesThe purpose of this book is to communicate some of the recent advances in this field while preparing the reader for more advanced study. The material can be roughly divided into three different types: classical, standard but some-times with a new twist, and recent. The author first studies basic covering theorems and their applications to analysis in metric measure spaces. This is followed by a discussion on Sobolev spaces emphasizing principles that are valid in larger contexts.

2001. X, 140 p. (Universitext) HardcoverISBN 978-0-387-95104-1

List price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00

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L. Helms, University of Illinois at Urbana-Champaign, IL, USA

Potential TheoryThis book presents a clear path from calculus to classical potential theory and beyond with the aim of moving the reader into a fertile area of mathematical research as quickly as possible.

2nd Printing. 2009. XI, 441 p. 2 illus. (Universitext) SoftcoverISBN 978-1-84882-318-1

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P. Hilton, Binghamton, NY, USA; D. Holton, University of Otago, Dunedin, New Zealand; J. Pedersen, Santa Clara University, Santa Clara, CA, USA

Mathematical ReflectionsIn a Room with Many Mirrors

In a relaxed, informal style, this book conveys the joy of mathematical discovery and insight, helping readers to see mathematics as an accessible world of thought. Explores spirals, fractals, Fibonacci numbers, Pascal's Triangle and paper folding, and more.

1997. Corr. 2nd printing 1997. XVI, 351 p. 138 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-94770-9

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M. Hindry, University of Paris, France; J. H. Silverman, Brown University, Providence, RI, USA

Diophantine GeometryAn Introduction

This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite attractive to graduate students and professional mathematicians. In each part of the book, the reader will find numerous exercises.

2000. XIII, 558 p. 8 illus. (Graduate Texts in Mathematics, Volume 201) SoftcoverISBN 978-0-387-98981-5

List price7 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00

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M. Hinze, Universität Hamburg, Germany; R. Pinnau, Technische Universität Kaiserslautern, Germany; M. Ulbrich, Technische Universität München, Germany; S. Ulbrich, Technische Universität Darmstadt, Germany

Optimization with PDE ConstraintsThis book presents a modern introduction of pde constrained optimization. It provides a precise functional analytic treatment via optimality conditions and a state-of-the-art, non-smooth algorithmical framework.

2009. XI, 270 p. 26 illus., 19 in color. (Mathematical Modelling: Theory and Applications, Volume 23) HardcoverISBN 978-1-4020-8838-4

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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J. Hiriart-Urruty, Universite Paul Sabatier, Toulouse, France; C. Lemarechal, INRIA, Le Chesnay, France

Convex Analysis and Minimization AlgorithmsPart 1: Fundamentals

This book covers the fundamentals of convex analysis, a refinement of standard calculus with equalities and approximations replaced by inequalities. Reviews minimization algorithms, which provide immediate application to optimization and operations research.

1993. 2nd corr. printing 1993. XVII, 444 p. 113 illus. (Grundlehren der mathematischen Wissenschaften, Volume 305) HardcoverISBN 978-3-540-56850-6

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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J. Hiriart-Urruty, Universite Paul Sabatier, Toulouse, France; C. Lemaréchal, INRIA, Montbonnot, France

Fundamentals of Convex AnalysisThis book is an abridged version of the two volumes "Convex Analysis and Minimization Algorithms I and II" (Grundlehren der mathematischen Wissenschaften Vol. 305 and 306). It presents an introduction to the basic concepts in convex analysis and a study of convex minimization problems (with an emphasis on numerical algorithms). The "backbone" of bot volumes was extracted, some material deleted which was deemed too advanced for an introduction, or too closely attached to numerical algorithms.

2001. Corr. 2nd printing 2001. X, 263 p. 66 illus. (Grundlehren Text Editions) SoftcoverISBN 978-3-540-42205-1

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springer.com/booksales Yellow Sale 2011 English Titles 2929

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J. Hoffstein, J. Pipher, J. Silverman, Brown University, Providence, RI, USA

An Introduction to Mathematical CryptographyThis self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics. It includes exercises and examples at the end of each section.

2008. XVI, 524 p. 29 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-77993-5

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A. Hohmann, AMS, Düsseldorf, Germany; P. Deuflhard, Konrad-Zuse-Zentrum, Berlin, Germany

Numerical Analysis in Modern Scientific ComputingAn Introduction

This book introduces the main topics of modern numerical analysis: sequence of linear equations, error analysis, least squares, nonlinear systems, symmetric eigenvalue problems, three-term recursions, interpolation and approximation, large systems and numerical integrations. The presentation draws on geometrical intuition wherever appropriate and is supported by a large number of illustrations, exercises, and examples.

2nd ed. 2003. XVIII, 337 p. 65 illus. (Texts in Applied Mathematics, Volume 43) HardcoverISBN 978-0-387-95410-3

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H. Holden, Norwegian University of Science and Technology, Trondheim, Norway; N. H. Risebro, University of Oslo, Norway

Front Tracking for Hyperbolic Conservation LawsThis book offers a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of research. The text offers extensive examples, exercises with hints and answers and comprehensive appendices.

1st ed 2002. Corr. 2nd printing 2002. XII, 364 p. 40 illus. (Applied Mathematical Sciences, Volume 152) HardcoverISBN 978-3-540-43289-0

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M. H. Holmes

Introduction to the Foundations of Applied MathematicsThis book deals with the construction, analysis and interpretation of mathematical models to help us understand the world. It develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering.

2009. XIV, 470 p. (Texts in Applied Mathematics, Volume 56) HardcoverISBN 978-0-387-87749-5

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J. N. Hooker, Carnegie Mellon University, Pittsburgh, PA, USA

Integrated Methods for OptimizationThis book integrates the key concepts of mathematical programming and constraint programming into a unified framework that allows them to be generalized and combined. It provides a powerful, high-level modeling solution for optimization problems.

2007. XIV, 490 p. 72 illus. (International Series in Operations Research & Management Science, Volume 100) HardcoverISBN 978-0-387-38272-2

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F. C. Hoppensteadt, Arizona State University, Tempe, AZ, USA; C. S. Peskin, University of New York, NY, USA

Modeling and Simulation in Medicine and the Life SciencesThe wide diversity of applications presented range from population phenomena of genetics, epidemics and dispersal to physiological processes, including circulation, cell volume, muscle mechanics and neural control. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations.

2nd ed. 2001. Corr. 2nd printing 2002. XIV, 376 p. 71 illus. (Texts in Applied Mathematics, Volume 10) HardcoverISBN 978-0-387-95072-3

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springer.com/booksales English Titles Yellow Sale 201130

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U. Hornung, University of Neubiberg, Germany (Ed.)

Homogenization and Porous MediaThis book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.

1997. XVI, 279 p. 35 illus. (Interdisciplinary Applied Mathematics, Volume 6) HardcoverISBN 978-0-387-94786-0

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D. Huybrechts, Université Paris VII Denis Diderot, Paris, France

Complex GeometryAn Introduction

This accessible introduction to the contempo-rary theory of compact complex manifolds emphasizes Kahler manifolds in their various aspects and applications. It contains accounts of basic concepts, exercises to illustrate the theory, and chapter appendices that cover recent research. Two appendices at the end of the book recall basic facts from differential geometry, Hodge theory on differential manifold, sheaf theory and sheaf cohomology.

2005. XII, 309 p. (Universitext) SoftcoverISBN 978-3-540-21290-4

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A. Ibrahimbegovic, Ecole Normale Supérieure de Cachan, Cachan, France

Nonlinear Solid MechanicsTheoretical Formulations and Finite Element Solution Methods

This book offers a recipe for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, represented as deformable solid bodies. Its appeal extends to those interested in linear problems of mechanics.

2009. XX, 576 p. (Solid Mechanics and Its Applications, Volume 160) HardcoverISBN 978-90-481-2330-8

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R. Isaac, The City University of New York, Bronx, NY, USA

The Pleasures of ProbabilityThis introduction to fundamental ideas in classical probability is written for an audience ranging from mathematical amateurs to scientists, from students to professional mathematicians. Includes illustrative problems, with answers at the end of the book.

1995. Corr. 2nd printing 1995. XV, 268 p. 17 illus. (Undergraduate Texts in Mathematics / Readings in Mathematics) HardcoverISBN 978-0-387-94415-9

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V. Isakov, Wichita State University, Wichita, KS, USA

Inverse Problems for Partial Differential EquationsSince the first publication of this book, the rapidly progressing field of inverse problems witnessed new developments. This book reflects these changes and describes the state of the theory and some numerical aspects of inverse problems in partial differential equations. Currently, there are hundreds of publications containing new and interesting results on inverse problems. This book successfully collects and presents many of them in a readable and informative form.

2nd ed. 2006. XII, 262 p. (Applied Mathematical Sciences, Volume 127) HardcoverISBN 978-0-387-25364-0

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M. Jacobson, H. Williams, University of Calgary, AB, Canada

Solving the Pell EquationThe authors provide a friendly introduction to the delights of algebraic number theory via Pell’s Equation. The only prerequisites are knowledge of elementary number theory and abstract algebra. There are references for those following up on various topics.

2009. XX, 500 p. 20 illus. (CMS Books in Mathematics) HardcoverISBN 978-0-387-84922-5

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springer.com/booksales Yellow Sale 2011 English Titles 3131

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M. Jeanblanc, Université d’Evry, France; M. Yor, Université Pierre et Marie Curie, Paris, France; M. Chesney, ISB, Universität Zürich, Switzerland

Mathematical Methods for Financial MarketsStochastic processes of common use in mathematical finance are presented in this book, which interlaces financial concepts and instruments such as arbitrage opportunities, option pricing and default risk with Brownian motion and Lévy and diffusion processes.

2009. XXVI, 732 p. 9 illus. (Springer Finance) HardcoverISBN 978-1-85233-376-8

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G. A. Jennings, California State University, Carson, CA, USA

Modern Geometry with ApplicationsThis introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas of non-Euclidean geometry, spherical geometry and projective geometry, as well as emphasising transformations, and conics and planetary orbits. Much emphasis is placed on applications throughout the book, which motivate the topics.

1994. Corr. 3rd printing 1994. VIII, 204 p. 150 illus. (Universitext) SoftcoverISBN 978-0-387-94222-3

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D. Johnson, University of the West Indies, Kingstone, Jamaica

SymmetriesIncludes the derivation and classification of the 17 plane crystallographic groups (i. e. the 17 possible basic wallpaper patterns)Contains numerous exercises, most with solutions, and suggestions for background, alternative and further reading

2001. Corr. 2nd printing 2001. XI, 216 p. 60 illus. (Springer Undergraduate Mathematics Series) SoftcoverISBN 978-1-85233-270-9

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P. E. Jorgensen, The University of Iowa, Iowa City, IA, USA

Analysis and ProbabilityWavelets, Signals, Fractals

Drawings by B. Treadway

Combining analysis and tools from mathemat-ical probability, this book focuses on a systematic and novel exposition of a recent trend in pure and applied mathematics. It brings together tools from engineering (especially signal/image processing) and mathematics (harmonic analysis and operator theory). The book applies a hands-on approach with generous motivation and new pedagogical techniques. The presentation includes numerous exercises that help reinforce fundamental concepts.

2006. XLVII, 276 p. 58 illus. (Graduate Texts in Mathematics, Volume 234) HardcoverISBN 978-0-387-29519-0

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J. Jost, Max-Planck-Institute for Mathematics in the Sciences, Leipzig, Germany

Dynamical SystemsExamples of Complex Behaviour

This book presents a survey of dynamical systems and its significance for research in complex systems. It also explains the funda-mental underlying mathematical concepts, with a particular focus on invariants of dynamical systems. Entropy and related concepts in the topological, metric, measure theoretic and smooth settings and some connections with information theory are discussed, and cellular automata and random Boolean networks are presented as specific examples.

2005. VIII, 189 p. 65 illus., 15 in color. (Universitext) SoftcoverISBN 978-3-540-22908-7

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J. Jost, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

Riemannian Geometry and Geometric AnalysisIn its updated 4th Edition, this classic reference offers some of the hottest topics of contempo-rary mathematical research, including a systematic introduction to Kähler geometry and the presentation of additional techniques from geometric analysis.

5th ed. 2008. XIV, 588 p. 14 illus., 4 in color. (Universitext) SoftcoverISBN 978-3-540-77340-5

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springer.com/booksales English Titles Yellow Sale 201132

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D. Jungnickel, University of Augsburg, Germany

Graphs, Networks and AlgorithmsThis is the third edition of the classic textbook on the subject. With its clear writing, strong organization, and comprehensive coverage of essential theory it is like a personal guide through this important topic, and now has lots of extra material.

3rd ed. 2008. XX, 650 p. 209 illus. (Algorithms and Computation in Mathematics, Volume 5) HardcoverISBN 978-3-540-72779-8

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A. Kanamori, Boston University, Boston, MA, USA

The Higher InfiniteLarge Cardinals in Set Theory from Their Beginnings

This softcover reprint of a popular reference provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research.

2nd ed. 2003. Corr. 2nd printing 2005 2003. XXII, 536 p. (Springer Monographs in Mathematics) SoftcoverISBN 978-3-540-88866-6

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L. Kandiller, Middle East Technical University, Ankara, Turkey

Principles of Mathematics in Operations ResearchThis book is a comprehensive survey of the mathematical concepts and principles of industrial mathematics. It provides an understanding of the fundamental mathemat-ical principles used in Industrial Mathematics/OR in modeling problems and application solutions.

2007. XII, 300 p. 70 illus. (International Series in Operations Research & Management Science, Volume 97) HardcoverISBN 978-0-387-37734-6

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E. Kaniuth, Paderborn University, Paderborn, Germany

A Course in Commutative Banach AlgebrasThis book is a thorough introduction to the subject, aimed at students with knowledge of functional and complex analysis, topology, measure theory, and group theory. At the core of this text are chapters on Gelfand's theory, regularity and spectral synthesis.

2009. XII, 353 p. (Graduate Texts in Mathematics, Volume 246) HardcoverISBN 978-0-387-72475-1

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P. Kannappan, University of Waterloo, ON, Canada

Functional Equations and Inequalities with ApplicationsThe field of functional equations is an ever-growing branch of mathematics with far-reaching applications. This book presents a comprehensive, nearly encyclopedic, study of the classical topic of functional equations and their applications to related topics.

2009. XXIV, 816 p. 16 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-89491-1

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D. Kaplan, L. Glass, McGill University, Montreal, Que., Canada

Understanding Nonlinear DynamicsBased on an undergraduate course in the biological sciences, this book presents the main concepts of non-linear dynamics at a level requiring only one year of calculus. Covers finite difference equations, the concept of chaos, cellular automata, and more.

1st ed.1995. Corr. 2nd printing 1995. XIX, 425 p. 294 illus. (Textbooks in Mathematical Sciences) SoftcoverISBN 978-0-387-94440-1

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springer.com/booksales Yellow Sale 2011 English Titles 3333

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M. Kapovich, University of California, Davis, CA, USA

Hyperbolic Manifolds and Discrete GroupsThis classic text is at the crossroads of many branches of mathematics. Its main focus is on Thurston’s hyperbolization theorem, and it contains numerous open problems and conjectures related to the theorem as well as discussions on related topics.

2001. 2nd. printing 2001. XXVIII, 468 p. 78 illus. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4912-8

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G. Karniadakis, Brown University, Providence, RI USA; A. Beskok, Texas A&M University, College Station, TX USA; N. Aluru, University of Illinois at Urbana-Champaign, Urbana, IL USA

Microflows and NanoflowsFundamentals and Simulation

There has recently been great progress in the development of microfluidics and nanofluidics at the application, fundamental, and simulation levels. This book gives a comprehensive summary of these changes, describing fluid flow in micro and nano configurations. It combines an emphasis on fundamental concepts with a mix of semianalytical, experimental and numerical results, outlining their relevance to modeling and analyzing functional devices.

2005. XXII, 818 p. 395 illus. (Interdisciplinary Applied Mathematics, Volume 29) HardcoverISBN 978-0-387-22197-7

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A. F. Karr, National Institute of Statistical Sciences, Research Triangle Park, NC, USA

ProbabilityThis book offers a straightforward introduction to the mathematical theory of probability. It presents the central results and techniques of the subject in a complete and self-contained account. As a result, the emphasis is on giving results in simple forms with clear proofs and to eschew more powerful forms of theorems which require technically involved proofs. Throughout there are a wide variety of exercises to illustrate and to develop ideas in the text.

1993. 312 p. (Springer Texts in Statistics) HardcoverISBN 978-0-387-94071-7

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C. Kassel, Université Louis Pasteur - CNRS, Strasbourg, France; V. Turaev, Indiana University, Bloomington, IN, US

Braid GroupsThe authors introduce the basic theory of braid groups, highlighting several definitions showing their equivalence. This is followed by a treatment of the relationship between braids, knots and links. Important results then look at linearity and orderability.

2008. XII, 340 p. 60 illus. (Graduate Texts in Mathematics, Volume 247) HardcoverISBN 978-0-387-33841-5

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J. Kevorkian, University of Washington, Seattle, WA, USA

Partial Differential EquationsAnalytical Solution Techniques

This volume contains a broad treatment of important partial differential equations, particularly emphasizing the analytical techniques. This new edition has been substantially updated to take account of the new techniques available. Students and researchers in mathematics, physics, and engineering will find it useful.

2nd ed. 2000. XI, 636 p. 128 illus. (Texts in Applied Mathematics, Volume 35) HardcoverISBN 978-0-387-98605-0

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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B. Khesin, R. Wendt, University of Toronto, ON, Canada

The Geometry of Infinite-Dimensional GroupsThis monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.

2009. XII, 304 p. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics, Volume 51) HardcoverISBN 978-3-540-77262-0

List price7 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 186,50

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J. P. Kleijnen, Tilburg University, Tilburg, The Netherlands

Design and Analysis of Simulation ExperimentsSimulation is a widely used methodology in all Applied Science disciplines. This textbook focuses on this crucial phase in the overall process of applying simulation, and includes the best of both classic and modern methods of simulation experimentation. This book will be the standard reference book on the topic for both researchers and sophisticated practitioners, and it will be used as a textbook in courses or seminars focusing on this topic.

2008. XIV, 218 p. 26 illus. (International Series in Operations Research & Management Science, Volume 111) HardcoverISBN 978-0-387-71812-5

List price7 € 73,95 | £66.997 * € (D) 79,13 | € (A) 81,35 | sFr 114,00

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A. Klenke, Johannes Gutenberg-Universität Mainz, Germany

Probability TheoryA Comprehensive Course

Aimed primarily at graduate students and researchers, this text is a comprehensive course in modern probability theory and its measure-theoretical foundations. It covers a wide variety of topics, many of which are not usually found in introductory textbooks.

2008. XII, 621 p. 23 illus. (Universitext) SoftcoverISBN 978-1-84800-047-6

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P. E. Kloeden, Johann-Wolfgang-Goethe-Universität, Frankfurt, Germany; E. Platen, University of Technology Sydney, NSW, Australia

Numerical Solution of Stochastic Differential EquationsThe numerical analysis of stochastic differential equations (SDEs) differs significantly from that of ordinary differential equations. This book provides an easily accessible introduction to SDEs, their applications and the numerical methods to solve such equations.

From the reviews 7 "The authors draw upon their own research and experiences in obviously many disciplines... considerable time has obviously been spent writing this in the simplest language possible." 7 ZAMP

1992. Corr. 4th printing 1992. XXXVI, 636 p. (Stochastic Modelling and Applied Probability, Volume 23) HardcoverISBN 978-3-540-54062-5

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S. Kobayashi, University of California, Berkeley, CA, USA

Hyperbolic Complex SpaceThe author is an undisputed leader in his field, and the author of several other successful books

1998. XIII, 472 p. 8 illus. (Grundlehren der mathematischen Wissenschaften, Volume 318) HardcoverISBN 978-3-540-63534-5

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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N. Koblitz, University of Washington, Seattle, WA, USA

Algebraic Aspects of CryptographyAppendix by A. Menezes,Y. Wu, R. Zuccherato

From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] Overall, this is an excellent expository text, and will be very useful to both the student and researcher." Mathematical Reviews

1998. Corr. 2nd printing 1999. 3rd printing 1998. IX, 206 p. 7 illus. (Algorithms and Computation in Mathematics, Volume 3) HardcoverISBN 978-3-540-63446-1

List price7 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50

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N. Koblitz, University of Washington, Seattle, WA, USA

P-adic Numbers, p-adic Analysis, and Zeta-FunctionsThis work has become the standard introduc-tion to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-function, plus new exercises and an appendix of answers and hints.

2nd ed. 1984. Corr. 2nd printing 1984. XII, 172 p. 9 illus. (Graduate Texts in Mathematics, Volume 58) HardcoverISBN 978-0-387-96017-3

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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springer.com/booksales Yellow Sale 2011 English Titles 3535

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J. Kock, Universitat Autònoma de Barcelona, Spain; I. Vainsencher, Universidade Federal de Minas Gerais, Pampulha - Belo Horizonte, Brazil

An Invitation to Quantum CohomologyKontsevich's Formula for Rational Plane Curves

This elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves; the viewpoint of mostly that of enumerative geometry. Emphasis is given throughout the exposition to examples, heuristic discussions, and simple applications of the basic tools to best convey the intuition behind the subject. The book demystifies these new quantum techniques by showing how they fit into classical algebraic geometry.

2007. XII, 159 p. (Progress in Mathematics, Volume 249) HardcoverISBN 978-0-8176-4456-7

List price7 € 51,95 | £46.997 * € (D) 55,59 | € (A) 57,15 | sFr 80,50

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J. Kollar, University of Princeton, NJ, USA

Rational Curves on Algebraic VarietiesThe main applications are in the study of Fano varieties and of related varieties with lots of rational curves on them.

1996. Corr. 2nd printing 1996. VIII, 321 p. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics, Volume 32) HardcoverISBN 978-3-540-60168-5

List price7 € 149,95 | £118.507 * € (D) 160,45 | € (A) 164,95 | sFr 215,00

Sale price7 € 82,95 | £75.007 * € (D) 88,76 | € (A) 91,25 | sFr 119,00

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P. Komjath, Eötvös Lóránd University, Budapest, Hungary; V. Totik, University of South Florida, Tampa, FL, USA

Problems and Theorems in Classical Set TheoryThis is the first comprehensive collection of problems in set theory. It contains well chosen sequences of exercises. Most of the problems are challenging and require work, wit, and inspiration. The book is destined to become a classic.

2006. XII, 516 p. (Problem Books in Mathematics) HardcoverISBN 978-0-387-30293-5

List price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50

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D. A. Kopriva, Florida State University, Tallahassee, FL, USA

Implementing Spectral Methods for Partial Differential EquationsAlgorithms for Scientists and Engineers

This book explains how to solve partial differential equations numerically using single and multidomain spectral methods. It shows how only a few fundamental algorithms form the building blocks of any spectral code, even for problems with complex geometries.

2009. XXIV, 411 p. (Scientific Computation) HardcoverISBN 978-90-481-2260-8

List price7 € 79,95 | £71.997 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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J. Korevaar, University of Amsterdam, The Netherlands

Tauberian TheoryA Century of Developments

This book traces the development of Tauberian theory, evoking the excitement surrounding the early results. The author describes the fascina-tion of the difficult Hardy-Littlewood theorems, and offers a new unified theory for Borel and "circle" methods.

2004. XV, 483 p. (Grundlehren der mathematischen Wissenschaften, Volume 329) HardcoverISBN 978-3-540-21058-0

List price7 € 89,95 | £71.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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B. Korte, J. Vygen, University of Bonn, Germany

Combinatorial OptimizationTheory and Algorithms

Now fully updated in a third edition, this is a comprehensive textbook on combinatorial optimization. It puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. Recent topics are covered as well, and numerous references are provided.

4th ed. 2008. XVIII, 627 p. 77 illus. HardcoverISBN 978-3-540-71843-7

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9<HTOFPA=hbiedh>

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D. Kozlov, University of Bremen, Germany

Combinatorial Algebraic TopologyCombinatorial algebraic topology is a fasci-nating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form.

2008. XX, 390 p. 115 illus. (Algorithms and Computation in Mathematics, Volume 21) HardcoverISBN 978-3-540-71961-8

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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D. Kozlov, University of Bremen, Germany

Combinatorial Algebraic TopologyCombinatorial algebraic topology is a fasci-nating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form.

2008. XX, 390 p. 115 illus. (Algorithms and Computation in Mathematics, Volume 21) SoftcoverISBN 978-3-540-73051-4

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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S. G. Krantz, Washington University, St. Louis, MO, USA

Explorations in Harmonic AnalysisWith Applications to Complex Function Theory and the Heisenberg Group

This text introduces modern harmonic analysis in the context in which it is actually applied, in particular through complex function theory and partial differential equations. Topics progress from harmonic analysis to Fourier transform to Heisenberg analysis.

2009. XIV, 360 p. 26 illus. (Applied and Numerical Harmonic Analysis) HardcoverISBN 978-0-8176-4668-4

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V. V. Kravchenko, CINVESTAV, Querétaro, Mexico

Applied Pseudoanalytic Function TheoryThis book covers recent developments in pseudoanalytic function theory including applications and multidimensional generaliza-tions. Written at an undergraduate level, it is the first book of the theory applied to many models of mathematical physics.

2009. XII, 184 p. (Frontiers in Mathematics) SoftcoverISBN 978-3-0346-0003-3

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 69,90

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M. Kreck, Hausdorff Research Institute for Mathematics (HIM), Bonn, Germany; W. Lück, Universität Münster, Germany

The Novikov ConjectureGeometry and Algebra

These lecture notes contain a guided tour to the Novikov Conjecture and related conjectures due to Baum-Connes, Borel and Farrell-Jones. They begin with basics about higher signatures, Whitehead torsion and the s-Cobordism Theorem. Then an introduction to surgery theory and a version of the assembly map is presented. Using the solution of the Novikov conjecture for special groups some applications to the classification of low dimensional manifolds are given.

2005. XV, 266 p. (Oberwolfach Seminars, Volume 33) SoftcoverISBN 978-3-7643-7141-8

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R. Kress, University of Göttingen, Germany

Linear Integral EquationsConveying the author's fascination with the mathematical beauty of integral equations, this book combines theory, applications, and numerical methods, all developed within the text. The 2nd edition includes new topics, and problems at the end of each chapter.

2nd ed. 1999. XIV, 388 p. 1 illus. (Applied Mathematical Sciences, Volume 82) HardcoverISBN 978-0-387-98700-2

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R. Krömer, University of Nancy, France

Tool and ObjectA History and Philosophy of Category Theory

First comprising historical outline of category theory

2007. XXXVI, 367 p. (Science Networks. Historical Studies, Volume 32) HardcoverISBN 978-3-7643-7523-2

List price7 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 158,00

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M. Krstic, University of California, La Jolla, CA, USA

Delay Compensation for Nonlinear, Adaptive, and PDE SystemsThis book offers a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, and systems with highly uncertain or completely unknown input/output delays.

2009. XIV, 468 p. 52 illus. (Systems & Control: Foundations & Applications) HardcoverISBN 978-0-8176-4876-3

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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B. Kruglikov, V. Lychagin, University of Tromso, Norway; E. Straume, NTNU, Trondheim, Norway (Eds.)

Differential Equations - Geometry, Symmetries and IntegrabilityThe Abel Symposium 2008

Proceedings of the Fifth Abel Symposium on Differential Equations: Geometry, Symmetries and Integrability, June 18–21, 2008, Tromsø, Norway

This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.

2009. XIV, 386 p. 1 illus. in color. (Abel Symposia, Volume 5) HardcoverISBN 978-3-642-00872-6

List price7 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 158,00

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N. V. Krylov, University of Minnesota, Minneapolis, MN, USA

Controlled Diffusion ProcessesTranslated by A. B. Aries

This book covers the optimal control of solutions of fully observable Ito-type stochastic differential equations. It proves the validity of the Bellman differential equation for payoff functions and develops rules for optimal control strategies.

1980. 2nd printing 2009. XII, 310 p. (Stochastic Modelling and Applied Probability, Volume 14) SoftcoverISBN 978-3-540-70913-8

List price7 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50

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H. Kurzweil, Universität Erlangen-Nürnberg, Erlangen, Germany; B. Stellmacher, Christian-Albrechts-Universität, Kiel, Germany

The Theory of Finite GroupsAn Introduction

From reviews of the German edition: "This is an exciting text and a refreshing contribution to an area in which challenges continue to flourish and to captivate the viewer. Even though representation theory and constructions of simple groups have been omitted, the text serves as a springboard for deeper study in many directions." Mathematical Reviews

2004. XII, 387 p. (Universitext) HardcoverISBN 978-0-387-40510-0

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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Y. Kwok, Hong Kong University of Science & Technology, Kowlon, China

Mathematical Models of Financial DerivativesThis book contains a comprehensive account of pricing models of financial derivatives. It covers risk neutral valuation theory, martingale measure, and tools in stochastic calculus required for the understanding of option pricing theory.

2nd ed. 2008. XVI, 530 p. 49 illus. (Springer Finance) HardcoverISBN 978-3-540-42288-4

List price7 € 69,95 | £62.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50

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9<HTOFPA=ecciie>

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V. Lakshmibai, Northeastern University, Boston, MA, USA; K. N. Raghavan, Institute of Mathematical Sciences, Chennai, India

Standard Monomial TheoryInvariant Theoretic Approach

Excellent overview of the theory of Schubert varieties.

2008. XIV, 266 p. (Encyclopaedia of Mathematical Sciences, Volume 137) HardcoverISBN 978-3-540-76756-5

List price7 € 104,95 | £94.507 * € (D) 112,30 | € (A) 115,45 | sFr 150,50

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T. Lam, University of California, Berkeley, CA, USA

A First Course in Noncommutative RingsAimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the under-standing of the general theory in the text are included in this new edition.

2nd ed. 2001. XIX, 385 p. (Graduate Texts in Mathematics, Volume 131) HardcoverISBN 978-0-387-95183-6

List price7 € 73,95 | £66.997 * € (D) 79,13 | € (A) 81,35 | sFr 116,50

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9<HTLDTH=jfbidg>

T. Lam, University of California, Berkeley, CA, USA

A First Course in Noncommutative RingsAimed at the novice rather than the connoisseur and stressing the role of examples and motivation, this text is suitable not only for use in a graduate course, but also for self-study in the subject by interested graduate students. More than 400 exercises testing the under-standing of the general theory in the text are included in this new edition.

2nd ed. 2001. XIX, 385 p. (Graduate Texts in Mathematics, Volume 131) SoftcoverISBN 978-0-387-95325-0

List price7 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 78,00

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T. Lam, University of California, Berkeley, CA, USA

Exercises in Classical Ring TheoryThis useful book, based on the author's Berkeley lectures, offers some 400 exercises in classical ring theory, with complete solutions, back-ground information, historical commentary, bibliographic details and notes on possible improvements or generalizations.

2nd ed. 2003. 328 p. (Problem Books in Mathematics) HardcoverISBN 978-0-387-00500-3

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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S. K. Lando, Independent University of Moscow, Russia; A. K. Zvonkin, Université Bordeaux, Talence, France; R. Gamkrelidze, Steklov Mathematical Institute, Moscow, Russia; V. Vassiliev (Eds.)

Graphs on Surfaces and Their ApplicationsFirst monograph on extremely active area of research.

2004. XVI, 456 p. (Encyclopaedia of Mathematical Sciences, Volume 141) HardcoverISBN 978-3-540-00203-1

List price7 € 104,95 | £94.507 * € (D) 112,30 | € (A) 115,45 | sFr 150,50

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S. Lang, Yale University, New Haven, CT, USA

Calculus of Several VariablesThis new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

3rd ed. 1987. Corr. 4th printing 1987. XII, 636 p. 298 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-96405-8

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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S. Lang, Yale University, New Haven, CT, USA

Complex AnalysisThis well-established book covers the basic material of complex analysis plus many special topics such as Riemann Mapping Theorem, the gamma function, and analytic continuation. The book’s unique use of power series methods in proofs sheds more light on the results of complex analysis than do standard proofs. This extensively revised new edition includes new examples and exercises as well as an updated and extended bibliography.

4th ed. 1999. Corr. 3rd printing 1999. XIV, 485 p. 139 illus. (Graduate Texts in Mathematics, Volume 103) HardcoverISBN 978-0-387-98592-3

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,50

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S. Lang, Yale University, New Haven, CT, USA

Cyclotomic Fields I-IIAssisted by K. Rubin

Combining the works previously published as Cyclotomic Fields, V. I & II, this book intro-duces these number fields, which are of great interest in classical number theory and other areas such as K-theory. Covers p-adic L-func-tions, Iwasawa theory, and more.

2nd ed. 1990. XVII, 460 p. 28 illus. (Graduate Texts in Mathematics, Volume 121) HardcoverISBN 978-0-387-96671-7

List price7 € 73,95 | £66.997 * € (D) 79,13 | € (A) 81,35 | sFr 114,00

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S. Lang, Yale University, New Haven, CT, USA

Differential and Riemannian ManifoldsThis book covers basic concepts in differential topology, differential geometry and differential equations. The latest, expanded edition offers three new chapters on Riemannian and pseudo-Riemannian geometry, and revised sections on sprays and Stokes' theorem.

3rd ed. 1995. Corr. 2nd printing 1995. 384 p. 20 illus. (Graduate Texts in Mathematics, Volume 160) HardcoverISBN 978-0-387-94338-1

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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S. Lang, Yale University, New Haven, CT, USA

SL2 (R)This book introduces the infinite dimensional representation theory of semisimple Lie groups by concentrating on one example - SL2(R). The contents are accessible to a wide audience, requiring only a knowledge of real analysis, and some differential equations.

1975. Corr. 2nd printing 1985. 33 illus. (Graduate Texts in Mathematics, Volume 105) HardcoverISBN 978-0-387-96198-9

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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S. Lang, Yale University, New Haven, CT, USA

Undergraduate Algebra

From the reviews 7"[Professor Lang] has tried to both improve and up-date his already well-estab-lished text....Numerous examples and exercises accompany this now already classic primer of modern algebra, which as usual, reflects the author’s great individuality just as much as his unrivalled didactic mastery and his care for profound mathematical education at any level....[It] will remain one of the great standard introductions to the subject for beginners." 7 Zentralblatt Math

3rd ed. 2005. XI, 385 p. 1 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-22025-3

List price7 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 86,50

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S. Lang, Yale University, New Haven, CT, USA

Undergraduate AnalysisThis logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.

From the reviews: 7 "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitu-lates this material as it deepens and generalizes it." 7 American Mathematical Society

2nd ed. 1997. Corr. 4th printing 1997. XV, 668 p. 91 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-94841-6

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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H. P. Langtangen, Simula Research Laboratory, Lysaker, Norway

Python Scripting for Computational ScienceThe goal of this book is to demonstrate how to develop tailored, flexible working environments built from small programs (scripts) written in the easy-to-learn, high-level language Python. The focus is on applications relevant to computational scientists.

3rd ed. 2008. Corr. 2nd printing 2008. XXVI, 758 p. 62 illus. (Texts in Computational Science and Engineering, Volume 3) HardcoverISBN 978-3-540-73915-9

List price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

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A. Lasota, Silesian University, Katowice, Poland; M. C. Mackey, McGill University, Montreal, Que., Canada

Chaos, Fractals, and NoiseStochastic Aspects of Dynamics

This book offers a unified treatment of a variety of mathematical systems generating densities, from one-dimensional discrete time transfor-mations through continuous time systems described by integro-partial-differential equations. Includes numerous examples.

2nd ed. 1994. Corr. 3rd printing 1994. (Applied Mathematical Sciences, Volume 97) HardcoverISBN 978-0-387-94049-6

List price7 € 99,95 | £89.507 * € (D) 106,95 | € (A) 109,95 | sFr 154,50

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J. Lasserre, LAAS-CNRS, Toulouse, France

Linear and Integer Programming vs Linear Integration and CountingA Duality Viewpoint

This book analyzes and compares four closely related problems, namely linear programming, integer programming, linear integration, and linear summation (or counting). The book provides some new insights on duality concepts for integer programs.

2009. XIV, 168 p. 2 illus. (Springer Series in Operations Research and Financial Engineering) HardcoverISBN 978-0-387-09413-7

List price7 € 46,95 | £43.997 * € (D) 50,24 | € (A) 51,65 | sFr 67,50

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M. Ledoux, University of Strasbourg, France; M. Talagrand, University of Paris VI, France

Probability in Banach SpacesIsoperimetry and Processes

Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces.

1991. 2nd printing 1991. XII, 480 p. 1 illus. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics, Volume 23) HardcoverISBN 978-3-540-52013-9

List price7 € 174,95 | £138.507 * € (D) 187,20 | € (A) 192,45 | sFr 290,50

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M. Lefebvre, École Polytechnique de Montréal, QC, Canada

Basic Probability Theory with ApplicationsThis book presents elementary probability theory with interesting and well-chosen applications that illustrate the theory. An introductory chapter reviews the basic elements of differential calculus which are used in the material to follow.

2009. XVI, 340 p. 50 illus. (Springer Undergraduate Texts in Mathematics and Technology) HardcoverISBN 978-0-387-74994-5

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J. Lepowsky, Rutgers University, Piscataway, NJ, USA; H. Li, Rutgers University, Camden, NJ, USA; and, Harbin Normal University, China

Introduction to Vertex Operator Algebras and Their RepresentationsThe field of vertex operator algebras is an active area of research and plays an integral role in infinite-dimensional Lie theory, string theory, and conformal field theory, and other subdisci-plines of mathematics and physics. This book begins with a careful presentation of the theore- tical foundations of vertex operator algebras and their modules, and then proceeds to a range of applications. The text features new, original results and a fresh perspective on the important works of many researchers; in particular, it provides a detailed treatment of the concept of a "representation'' of a vertex (operator) algebra.

2004. XI, 318 p. (Progress in Mathematics, Volume 227) HardcoverISBN 978-0-8176-3408-7

List price7 € 91,95 | £82.507 * € (D) 98,39 | € (A) 101,15 | sFr 143,00

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9<HTLIMH=gdeaih>

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M. Levine, Northeastern University, Boston, MA, USA; F. Morel, University of München, Germany

Algebraic CobordismFollowing Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. The book also contains some examples of computations and applications.

2007. XII, 246 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-36822-9

List price7 € 79,95 | £63.997 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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D. Li, The Chinese University of Hong Kong, China; X. Sun, Fudan University, China

Nonlinear Integer ProgrammingA combination of both Integer Programming and Nonlinear Optimization, this is a powerful book that surveys the field and provides a state-of-the-art treatment of Nonlinear Integer Programming. It is the first book available on the subject. The book aims to bring the theoretical foundation and solution methods for nonlinear integer programming to students and researchers in optimization, operations research, and computer science.

2006. XXII, 440 p. 71 illus. (International Series in Operations Research & Management Science, Volume 84) HardcoverISBN 978-0-387-29503-9

List price7 € 114,95 | £102.507 * € (D) 123,00 | € (A) 126,45 | sFr 177,50

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R. S. Liptser, A. N. Shiryaev

Statistics of Random ProcessesI. General Theory

Transl. Russian from B. Aries

These volumes cover non-linear filtering (prediction and smoothing) theory and its applications to the problem of optimal estimation, control with incomplete data, information theory, and sequential testing of hypothesis. Also presented is the theory of martingales, of interest to those who deal with problems in financial mathematics.

2nd rev. and exp. ed. 2001. XV, 427 p. (Stochastic Modelling and Applied Probability, Volume 5) HardcoverISBN 978-3-540-63929-9

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R. S. Liptser, A. N. Shiryaev

Statistics of Random ProcessesII. Applications

Transl. Russian from A. Aries

From the reviews 7 "Written by two renowned experts in the field, the books under review contain a thorough and insightful treatment of the fundamental underpinnings of various aspects of stochastic processes as well as a wide range of applications. Providing clear exposition, deep mathematical results, and superb technical representation, they are masterpieces of the subject of stochastic analysis and nonlinear filtering....These books...will become classics." 7 Siam Review

2nd rev. and exp. ed. 2001. XV, 402 p. (Stochastic Modelling and Applied Probability, Volume 6) HardcoverISBN 978-3-540-63928-2

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J. Loday, Strasbourg, France

Cyclic HomologySubject at the forefront of researchA very much needed bookLoday is well-known both as one of the leading researchers in the field and also as a very clear and precise expositorA diversity of approachesA comprehensive monograph from a unified point of viewThere is no competitive work available

2nd ed. 1998. XIX, 513 p. 24 illus. (Grundlehren der mathematischen Wissenschaften, Volume 301) HardcoverISBN 978-3-540-63074-6

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J. D. Logan, University of Nebraska at Lincoln, Lincoln, NE, USA

Applied Partial Differential EquationsThis text is written for the standard, one-semester, undergraduate course in elementary partial differential equations. The topics include derivations of some of the standard equations of mathematical physics (including the heat equation, the wave equation, and Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions, or separation of variables, and methods based on Fourier and Laplace transforms.

2nd ed. 2004. XII, 212 p. 40 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-20953-1

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F. Lorenz, University Münster, Germany

AlgebraVolume II: Fields with Structure, Algebras and Advanced Topics

Transl. German from S. Levy

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read it without difficulty.

2008. X, 340 p. (Universitext) SoftcoverISBN 978-0-387-72487-4

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D. G. Luenberger, Y. Ye, Stanford University, Stanford, CA, USA

Linear and Nonlinear ProgrammingThis third edition of the classic textbook in Optimization has been fully revised and updated. It comprehensively covers modern theoretical insights in this crucial computing area. The book also has a new co-author, who has written extra material including some on Interior Point Methods.

3rd ed. 2008. XIV, 546 p. 93 illus. (International Series in Operations Research & Management Science, Volume 116) HardcoverISBN 978-0-387-74502-2

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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B. Luong, Department of Defense, Washington D.C., USA

Fourier Analysis on Finite Abelian GroupsThis self-contained overview examines the decomposition and analysis of functions within Fourier transforms and Abelian groups. Readers will learn the fundamentals, which are illustrated by examples and unique exercises at the end of each section.

XVI,159 p. 2009. XVI, 159 p. (Applied and Numerical Harmonic Analysis) HardcoverISBN 978-0-8176-4915-9

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Y. Ma, University of Illinois at Urbana-Champaign, Urbana, IL, USA; S. Soatto, University of California, Los Angeles, CA, USA; J. Kosecká, George Mason University, Fairfax, VA, USA; S. S. Sastry, University of California, Berkeley, CA, USA

An Invitation to 3-D VisionFrom Images to Geometric Models

This book introduces the geometry of 3-D vision, that is, the reconstruction of 3-D models of objects from a collection of 2-D images. It details the classic theory of two view geometry and shows that a more proper tool for studying the geometry of multiple views is the so-called rank consideration of the multiple view matrix. It also develops practical reconstruction algorithms and discusses possible extensions of the theory.

2004. Corr. 2nd printing 2004. XX, 526 p. 170 illus. (Interdisciplinary Applied Mathematics, Volume 26) HardcoverISBN 978-0-387-00893-6

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,50

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P. Macheras, School of Pharmacy, Zographou, Greece; A. Iliadis, Faculty of Pharmacy, Marseille, France

Modeling in Biopharmaceutics, Pharmacokinetics and PharmacodynamicsHomogeneous and Heterogeneous Approaches

This book presents a novel modeling approach to biopharamceutics, pharmacokinetics and pharmacodynamic phenomena. It shows how advanced physical and mathematical methods can expand classical models in order to cover heterogeneous drug-biological processes and therapeutic effects in the body. Throughout, many examples are used to illustrate the intrinsic complexity of drug administration related phenomena in the human, justifying the use of advanced modeling methods.

2006. XX, 442 p. 131 illus. (Interdisciplinary Applied Mathematics, Volume 30) HardcoverISBN 978-0-387-28178-0

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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C. Maclachlan, University of Aberdeen, UK; A. W. Reid, University of Texas at Austin, TX, USA

The Arithmetic of Hyperbolic 3-ManifoldsThis text is based on graduate courses given by the authors on one of the most active areas of current research. It brings together much of the existing literature on arithmetic Kleinan groups in a clear and concise way, containing many examples and lots of problems.

2003. XIII, 463 p. 57 illus. (Graduate Texts in Mathematics, Volume 219) HardcoverISBN 978-0-387-98386-8

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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P. Malliavin, Paris, France

Integration and ProbabilityAssisted by H. Airault, L. Kay, G. Letac; Translated by L. Kay

This book offers an introduction to analysis with the proper mix of abstract theories and concrete problems, demonstrating for the reader the fact that analysis is not a collection of independent theories but can be treated as a whole.

1995. XXI, 322 p. 1 illus. (Graduate Texts in Mathematics, Volume 157) HardcoverISBN 978-0-387-94409-8

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,50

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P. Malliavin, Académie des Sciences, Paris, France; A. Thalmaier, Université de Poitiers, France

Stochastic Calculus of Variations in Mathematical FinanceThis extensive text demonstrates the relevance of Malliavin calculus for Mathematical Finance. Greeks (price sensitivities) are reinterpreted in terms of Malliavin calculus. Integration by parts formulae provide stable Monte Carlo schemes for numerical valuation of digital options. Insider information is expressed as an infinite-dimensional drift. The last chapter gives an introduction to the same objects in the context of jump processes where incomplete markets appear.

2006. XII, 142 p. (Springer Finance) HardcoverISBN 978-3-540-43431-3

List price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 77,50

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G. A. Margulis, Moscocw, USSR

Discrete Subgroups of Semisimple Lie GroupsThis book, written by a master of the subject, is primarily devoted to discrete subgroups of finite covolume in semi-simple Lie groups. The author not only proves results in the classical geometry setting, but also obtains theorems of an algebraic nature.

1991. X, 388 p. 14 illus. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics, Volume 17) HardcoverISBN 978-3-540-12179-4

List price7 € 169,95 | £153.007 * € (D) 181,85 | € (A) 186,95 | sFr 244,00

Sale price7 € 92,95 | £84.007 * € (D) 99,46 | € (A) 102,25 | sFr 133,50

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I. Maros, Dept. of Computing, Imperial College, London, UK

Computational Techniques of the Simplex MethodThis systematic treatment of the most important and successful algorithmic and implementation techniques of the Simplex Method focuses on computational issues, offering essential, never-discussed details of algorithmic elements and their implementation.

2003. 352 p. (International Series in Operations Research & Management Science, Volume 61) HardcoverISBN 978-1-4020-7332-8

List price7 € 154,95 | £139.507 * € (D) 165,80 | € (A) 170,45 | sFr 240,50

Sale price7 € 86,95 | £78.507 * € (D) 93,04 | € (A) 95,65 | sFr 125,00

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G. E. Martin, State University of New York at Albany, NY, USA

Counting: The Art of Enumerative CombinatoricsThis book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.

2001. XI, 250 p. 56 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-95225-3

List price7 € 55,95 | £50.997 * € (D) 59,87 | € (A) 61,55 | sFr 86,50

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G. E. Martin, State University of NY at Albany, NY, USA

Geometric ConstructionsWritten in an informal style that intersperses history and philosophy with mathematics, this class-tested, self-contained book demonstrates how some simple construction tools can be associated with various fields of real numbers through coordinate geometry.

1998. 224 p. 130 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-98276-2

List price7 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00

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G. E. Martin, State University of New York at Albany, NY, USA

Transformation GeometryAn Introduction to Symmetry

Transformation Geometry: An Introduction to Symmetry offers a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.

1982. Corr. 4th printing 1982. XII, 256 p. 222 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-90636-2

List price7 € 55,95 | £50.997 * € (D) 59,87 | € (A) 61,55 | sFr 86,50

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R. A. Martinez-Avendano, University Autonoma del Estado de Hidalg, Mexico; P. Rosenthal, University of Toronto, ON, Canada

An Introduction to Operators on the Hardy-Hilbert SpaceThis book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them.

2007. XII, 220 p. (Graduate Texts in Mathematics, Volume 237) HardcoverISBN 978-0-387-35418-7

List price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00

Sale price7 € 24,95 | £22.997 * € (D) 26,70 | € (A) 27,45 | sFr 36,00

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O. Martio, University of Helsinki, Finland; V. Ryazanov, National Academy of Sciences of Ukraine, Donetsk, Ukraine; U. Srebro, Technion - Israel Institute of Technology, Haifa, Israel; E. Yakubov, H.I.T. - Holon Institute of Technology, Holon, Israel

Moduli in Modern Mapping TheoryBased on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.

2009. XII, 367 p. 12 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-0-387-85586-8

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 96,00

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W. S. Massey, Yale University, New Haven, CT, USA

Algebraic Topology: An IntroductionThis book is developed from lecture notes of William S. Massey's undergraduate and graduate courses at Yale over a period of several years. Professor Massey has published many research articles on algebraic topology and related topics.

1967. Corr. 7th printing 1977. XXI, 292 p. (Graduate Texts in Mathematics, Volume 56) HardcoverISBN 978-0-387-90271-5

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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G. Mastroianni, Università della Basilicata, Potenza, Italy; G. Milovanovic, Megatrend University, Novi Beograd, Serbia

Interpolation ProcessesBasic Theory and Applications

This book presents, with complete proofs, recent results on convergent interpolation processes, for trigonometric and algebraic polynomials of one real variable, not yet published in other books and monographs on approximation theory and numerical mathematics.

2008. XIV, 446 p. 42 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-68346-9

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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Jiři Matoušek, Charles University, Prague; Czech Republic

Lectures on Discrete GeometryThe main topics in this introductory text to discrete geometry include basics on convex sets, convex polytopes and hyperplane arrangements, combinatorial complexity of geometric configurations, intersection patterns and transversals of convex sets, geometric Ramsey-type results, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.

2002. XVI, 481 p. 206 illus. (Graduate Texts in Mathematics, Volume 212) HardcoverISBN 978-0-387-95373-1

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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K. Matsuki, Purdue University, West Lafayette, IN, USA

Introduction to the Mori ProgramMori's Program is a fusion of the so-called Minimal Model Program and the IItaka Program toward the biregular and/or birational classification of higher dimensional algebraic varieties. The author presents this theory in an easy and understandable way with lots of background motivation.

From the reviews 7 "Written in a very lucid, rigorous and comprehensive style, this book helps to make the advanced topic of Mori theory a lot more attractive and accessible." 7 Zentralblatt Math

2002. XXIII, 478 p. 61 illus. (Universitext) HardcoverISBN 978-0-387-98465-0

List price7 € 74,95 | £49.997 * € (D) 80,20 | € (A) 82,45 | sFr 86,50

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S. Matveev, Chelyabinsk State University, Russia

Algorithmic Topology and Classification of 3-ManifoldsReviews of the first edition of this book describe it as "a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers". The 2nd edition adds new results, new proofs and commentaries for the benefit of the reader.

2nd ed. 2007. XIV, 492 p. 264 illus. (Algorithms and Computation in Mathematics, Volume 9) HardcoverISBN 978-3-540-45898-2

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00

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L. Mazliak, University Paris 6, Paris, France; R. Tazzioli, Université des sciences et technologies de Lille, France

Mathematicians at warVolterra and his French colleagues in World War I

During World War I, Italian mathematician Volterra, who deeply supported the Allied war effort, corresponded with French colleagues Borel, Hadamard and Picard. This book collects these letters, exploring the role of a scientist during wartime.

2nd Printing. 2009. X, 187 p. 10 illus. (Archimedes, Volume 22) HardcoverISBN 978-90-481-2739-9

List price7 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50

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V. Maz'ya, University of Liverpool, UK; T. O. Shaposhnikova, University of Linköping, Sweden

Theory of Sobolev MultipliersWith Applications to Differential and Integral Operators

The first part of this book offers a comprehen-sive overview of the theory of pointwise multi- pliers acting in pairs of spaces of differentiable functions. The second part of the book explores several applications of this theory.

2009. XIV, 614 p. 2 illus. (Grundlehren der mathema-tischen Wissenschaften, Volume 337) HardcoverISBN 978-3-540-69490-8

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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A. Meucci, Bloomberg L.P., New York, NY, USA

Risk and Asset AllocationThis encyclopedic, detailed resource covers all the steps of one-period allocation from the foundations to the most advanced develop-ments. It includes a large number of figures and examples as well as real trading and asset management case studies.

2005. Corr. 3rd printing 2005. XXVI, 532 p. (Springer Finance) SoftcoverISBN 978-3-642-00964-8

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

Sale price7 € 19,95 | £17.997 * € (D) 21,35 | € (A) 21,95 | sFr 29,00

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K. Meyer, G. Hall, D. Offin

Introduction to Hamiltonian Dynamical Systems and the N-Body ProblemArising from a graduate course taught to math and engineering students, this text provides a systematic grounding in the theory of Hamilto-nian systems, as well as introducing the theory of integrals and reduction. A number of other topics are covered too.

2nd ed. 2009. XIII, 399 p. 67 illus. (Applied Mathematical Sciences, Volume 90) HardcoverISBN 978-0-387-09723-7

List price7 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 79,00

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T. Mikosch, University of Copenhagen, Denmark

Non-Life Insurance MathematicsAn Introduction with the Poisson Process

This book offers a mathematical introduction to non-life insurance as well as to a multitude of applied stochastic processes. It gives detailed discussions of the fundamental models for claim sizes, the total claim amount and their probabilistic properties.

2nd ed. 2009. XV, 432 p. 55 illus. (Universitext) SoftcoverISBN 978-3-540-88232-9

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I. Molchanov, University of Berne, Switzerland

Theory of Random SetsThe first systematic exposition of random sets theory since Matheron (1975), with full proofs, exhaustive bibliographies and literature notes Interdisciplinary connections and applications of random sets are emphasised throughout Fixes terminology and notation that are often very varying in the literature, so providing a platform for future development of the theory Accompanied by an extensive searchable bibliography, available via the web

2005. XVI, 488 p. 33 illus. (Probability and Its Applications) HardcoverISBN 978-1-85233-892-3

List price7 € 84,95 | £76.507 * € (D) 90,90 | € (A) 93,45 | sFr 122,00

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T. Möller, Simon Fraser University, Burnaby, BC, Canada; B. Hamann, University of California, Davis, CA, USA; R. D. Russell, Simon Fraser University, Burnaby, BC, Canada (Eds.)

Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data ExplorationHere is a summary of cutting-edge research ideas on visualization presented at a key workshop in Banff, Canada, where new algorithms were discussed based on sophisti-cated modeling techniques that permit the extraction of high-level topological structures.

2009. X, 350 p. 183 illus., 134 in color. (Mathematics and Visualization) HardcoverISBN 978-3-540-25076-0

List price7 € 89,95 | £81.507 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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M. Molloy, University of Toronto, ON, Canada; B. Reed, Universite de Paris VI, France

Graph Colouring and the Probabilistic MethodOver the past decade, many major advances have been made in the field of graph coloring via the probabilistic method. This monograph, by two of the best on the topic, provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.

2002. XIV, 326 p. 19 illus. HardcoverISBN 978-3-540-42139-9

List price7 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50

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P. Moral, Universite de Nice Sophia Antipolis, France

Feynman-Kac FormulaeGenealogical and Interacting Particle Systems with Applications

This text takes readers in a clear and progressive format from simple to recent and advanced topics in pure and applied probability such as contraction and annealed properties of non-linear semi-groups, functional entropy inequalities, empirical process convergence, increasing propagations of chaos, central limit, and Berry Esseen type theorems as well as large deviation principles for strong topologies on path-distribution spaces.

2004. XVIII, 555 p. 15 illus. (Probability and Its Applications) HardcoverISBN 978-0-387-20268-6

List price7 € 73,95 | £66.997 * € (D) 79,13 | € (A) 81,35 | sFr 116,50

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B. S. Mordukhovich, Wayne State University, Detroit, MI, USA

Variational Analysis and Generalized Differentiation IIApplications

Variational analysis is a fruitful area in mathematics that, on the one hand, deals with the study of optimization and equilibrium problems and, on the other hand, applies optimization, perturbation, and approximation ideas to the analysis of a broad range of problems that may not be of a variational nature. This volume describes various applica-tions of variational analysis.

2006. XXII, 612 p. (Grundlehren der mathematischen Wissenschaften, Volume 331) HardcoverISBN 978-3-540-25438-6

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 140,00

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P. Morris, Penn State University, University Park, PA, USA

Introduction to Game TheoryThis advanced textbook covers the central topics in game theory and provides a strong basis from which readers can go on to more advanced topics. The subject matter is approached in a mathematically rigorous, yet lively and interesting way. New definitions and topics are motivated as thoroughly as possible. Coverage includes the idea of iterated Prisoner's Dilemma (super games) and challenging game-playing computer programs.

1994. XXVI, 252 p. 44 illus. (Universitext) SoftcoverISBN 978-0-387-94284-1

List price7 € 51,95 | £46.997 * € (D) 55,59 | € (A) 57,15 | sFr 80,50

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Y. Moschovakis, University of California, Los Angeles, CA, USA

Notes on Set TheoryThe axiomatic theory of sets is a vibrant part of pure mathematics, and is also viewed as a foundation of mathematics. This book addresses both pure math and the fundamentals. The new edition is reworked and expanded for improved presentation.

2nd ed. 2006. XII, 284 p. 48 illus. (Undergraduate Texts in Mathematics) SoftcoverISBN 978-0-387-28723-2

List price7 € 42,95 | £34.997 * € (D) 45,96 | € (A) 47,25 | sFr 63,50

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A. Mucherino, P. J. Papajorgji, P. M. Pardalos, University of Florida, Gainesville, FL, USA

Data Mining in AgricultureThis book covers data mining techniques applied to agricultural and environmental fields. It offers theoretical and practical insights and focuses on the context of each data mining technique. It includes many examples and exercises with solutions.

2009. XVIII, 274 p. 92 illus. (Springer Optimization and Its Applications, Volume 34) HardcoverISBN 978-0-387-88614-5

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K. Murota, University of Tokyo, Japan

Matrices and Matroids for Systems AnalysisThis book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. It serves also as a comprehensive presentation of the theory and application of mixed matrices.

2000. 2nd printing 2000. XII, 483 p. 72 illus. SoftcoverISBN 978-3-642-03993-5

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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J. D. Murray, University of Washington, Seattle, WA, USA

Mathematical BiologyI. An Introduction

Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemi-ology, and evolution, among others.

3rd ed. 2002. Corr. 2nd printing 2002. XXIII, 551 p. 164 illus. (Interdisciplinary Applied Mathematics, Volume 17) HardcoverISBN 978-0-387-95223-9

List price7 € 55,95 | £50.997 * € (D) 59,87 | € (A) 61,55 | sFr 86,50

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J. Murray, University of Washington, Seattle, WA, USA

Mathematical Biology IISpatial Models and Biomedical Applications

This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisci-plinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology.

From the reviews 7 "This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences." 7 Short Book Reviews

3rd ed. 2003. Corr. 2nd printing 2003. XXV, 811 p. 296 illus. (Interdisciplinary Applied Mathematics, Volume 18) HardcoverISBN 978-0-387-95228-4

List price7 € 73,95 | £66.997 * € (D) 79,13 | € (A) 81,35 | sFr 114,00

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M. R. Murty, Queen's University, Kingston, ON, Canada; J. (. Esmonde, University of California at Berkeley, Berkeley, CA, USA

Problems in Algebraic Number TheoryWhile it is nearly impossible to answer how exactly one does mathematical research, it is no exaggeration to say that the ability to do it effectively lies in asking "well-posed" questions. This book is a collection of almost 500 problems in algebraic number theory, systematically arranged to reveal ideas and concepts in the evolution of the subject.

2nd ed. 2005. XVI, 352 p. (Graduate Texts in Mathematics, Volume 190) HardcoverISBN 978-0-387-22182-3

List price7 € 56,95 | £50.997 * € (D) 60,94 | € (A) 62,65 | sFr 95,00

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M. Musiela, BNP Paribas, London, UK; M. Rutkowski, University of New South Wales, Sydney, NSW, Australia

Martingale Methods in Financial ModellingThis thoroughly revised second edition includes a brand new chapter devoted to volatility risk. As a consequence, hedging of plain-vanilla options and valuation of exotic options are no longer limited to the Black-Scholes framework with constant volatility.

2nd ed. 2005. Corr. 3rd printing 2005. XX, 718 p. (Stochastic Modelling and Applied Probability, Volume 36) HardcoverISBN 978-3-540-20966-9

List price7 € 74,95 | £59.997 * € (D) 80,20 | € (A) 82,45 | sFr 107,50

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Y. Narahari, R. Narayanam, H. Prakash, Indian Institute of Science, Bangalore, India; D. Garg, IBM India Research Lab, Bangalore, India

Game Theoretic Problems in Network Economics and Mechanism Design SolutionsThis monograph focuses on exploring game theoretic modeling and mechanism design for problem solving in Internet and network economics. For the first time, the main theoretical issues and applications of mecha-nism design are bound together in a single text.

2nd Printing. 2009. XXI, 274 p. 45 illus. (Advanced Information and Knowledge Processing) HardcoverISBN 978-1-84800-937-0

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W. Narkiewicz, University of Wroclaw, Poland

Elementary and Analytic Theory of Algebraic NumbersThis book details the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. Coverage includes: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. The book also features exercises and a list of open problems.

3rd ed. 2004. XI, 708 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-21902-6

List price7 € 119,95 | £95.007 * € (D) 128,35 | € (A) 131,95 | sFr 172,00

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M. B. Nathanson, Cuny, Bronx, NY, USA

Additive Number Theory: Inverse Problems and the Geometry of SumsetsThis book reviews results in inverse problems for finite sets of integers, culminating in Ruzsa's elegant proof of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression.

1996. XIV, 293 p. (Graduate Texts in Mathematics, Volume 165) HardcoverISBN 978-0-387-94655-9

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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J. Nedelec, Ecole Polytechnique, Palaiseau, France

Acoustic and Electromagnetic EquationsIntegral Representations for Harmonic Problems

Acoustic and electromagnetic waves underlie a vast range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. Mathematical modeling of these waves has undergone considerable growth in recent years, and this timely book, written by a leading international researcher, presents the research in a careful and complete way.

2001. IX, 316 p. 2 illus. (Applied Mathematical Sciences, Volume 144) HardcoverISBN 978-0-387-95155-3

List price7 € 85,95 | £76.507 * € (D) 91,97 | € (A) 94,55 | sFr 132,50

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Y. Nesterov, Université Catholique de Louvain, Belgium

Introductory Lectures on Convex OptimizationA Basic Course

The first elementary exposition of core ideas of complexity theory for convex optimization, this book explores optimal methods and lower complexity bounds for smooth and non-smooth convex optimization. Also covers polynomial-time interior-point methods.

2004. 254 p. (Applied Optimization, Volume 87) HardcoverISBN 978-1-4020-7553-7

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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J. Nestruev, Diffiety Institute, Moscow, Russia

Smooth Manifolds and ObservablesThis book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory.

2003. XIV, 220 p. 30 illus. (Graduate Texts in Mathematics, Volume 220) HardcoverISBN 978-0-387-95543-8

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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D. J. Newman, Temple University, Philadelphia, PA, USA

Analytic Number TheoryNumber Theory is a vast and fascinating field of mathematics consisting of, among other things, the study of the properties of numbers (including Primes). Attractively written volume which contains clever examples and interesting problems in each chapter. Covers an amazing amount of material with a leisurely pace which emphasizes readability. De-mystifying approach offers solutions that are both understandable and elegant. Newman's heartfelt enthusiasm enables readers to see what is magical about the subject; his genuine appreciation for the beauty of analytic number theory is clearly reflected in the mathematics which are presented.

1998. Corr. 2nd printing 1998. VIII, 78 p. (Graduate Texts in Mathematics, Volume 177) HardcoverISBN 978-0-387-98308-0

List price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 69,00

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L. Nicolaescu, University of Notre Dame, IN, USA

An Invitation to Morse TheoryThis book provides a useful introduction to Morse Theory. Coverage focuses on applications and includes topics such as Morse-Smale flows, min-max theory, moment maps and equivariant cohomology, and complex Morse theory.

2007. XIV, 242 p. 32 illus. (Universitext) SoftcoverISBN 978-0-387-49509-5

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G. Nunno, B. Øksendal, F. Proske, University of Oslo, Norway

Malliavin Calculus for Lévy Processes with Applications to FinanceThis book is an introduction to Malliavin calculus as a generalization of the classical non-anticipating Ito calculus to an anticipating setting. It presents the development of the theory and its use in new fields of application.

2009. Corr. 2nd printing 2009. XIV, 418 p. (Universitext) SoftcoverISBN 978-3-540-78571-2

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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H. Ockendon, J. R. Ockendon, Oxford Centre for Industrial and Applied Mathematics, Oxford, UK

Waves and Compressible FlowDerived from an Oxford course and text, this revised book teaches the wide range of wave phenomena, focusing on compressible flow, and showing how wave phenomena in electromag-netism and solid mechanics can be treated using similar mathematical methods.

2004. IX, 188 p. 60 illus. (Texts in Applied Mathematics, Volume 47) HardcoverISBN 978-0-387-40399-1

List price7 € 49,95 | £46.997 * € (D) 53,45 | € (A) 54,95 | sFr 80,50

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P. Orlik, University of Wisconsin-Madison, WI, USA; V. Welker, Philipps-Universität Marburg, GermanyG. Floystad, University of Bergen, Norway (Ed.)

Algebraic CombinatoricsLectures at a Summer School in Nordfjordeid, Norway, June 2003

This book is based on two series of lectures given at a summer school on algebraic combinatorics at the Sophus Lie Centre in Nordfjordeid, Norway, in June 2003, one by Peter Orlik on hyperplane arrangements, and the other one by Volkmar Welker on free resolu-tions. Both topics are essential parts of current research in a variety of mathematical fields, and the present book makes these sophisticated tools available for graduate students.

2007. VIII, 182 p. 23 illus. (Universitext) SoftcoverISBN 978-3-540-68375-9

List price7 € 54,95 | £49.997 * € (D) 58,80 | € (A) 60,45 | sFr 85,50

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M. S. Osborne, University of Washington, Seattle, WA, USA

Basic Homological Algebra

From the reviews 7 "The book is well written. We find here many examples. Each chapter is followed by exercises, and at the end of the book there are outline solutions to some of them. [...] I especially appreciated the lively style of the book; […] one is quickly able to find necessary details." 7 EMS Newsletter

2000. X, 395 p. (Graduate Texts in Mathematics, Volume 196) HardcoverISBN 978-0-387-98934-1

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00

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N. S. Papageorgiou, National Technical University, Athens, Greece; S. T. Kyritsi-Yiallourou, Hellenic Naval Academy, Piraeus, Greece

Handbook of Applied AnalysisThis self-contained, comprehensive handbook provides an in-depth examination of important theoretical methods and procedures in applied analysis. It includes numerous examples that demonstrate and expand upon the topics presented.

2009. XXIII, 793 p. (Advances in Mechanics and Mathematics, Volume 19) HardcoverISBN 978-0-387-78906-4

List price7 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 186,50

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P. Pedregal, Universidad de Castilla-La Mancha, Spain

Introduction to OptimizationThis undergraduate textbook introduces students of science and engineering to the fascinating field of optimization. It is a unique book that brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference.

2004. 248 p. 38 illus. (Texts in Applied Mathematics, Volume 46) HardcoverISBN 978-0-387-40398-4

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 103,50

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D. Perrin, Université Paris-Sud, Orsay, France

Algebraic GeometryAn Introduction

Transl. French: C. Maclean

This book provides an introduction to algebraic geometry that is particularly suitable for those with no previous contact with the subject. Exercises are provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix.

2008. XII, 263 p. 8 illus. (Universitext) SoftcoverISBN 978-1-84800-055-1

List price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

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B. Perthame, Univ. Pierre et Marie Curie, Paris, France

Transport Equations in BiologyThis book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions. The book further contains many original PDE problems originating in biosciences.

2007. VIII, 198 p. 28 illus. (Frontiers in Mathematics) SoftcoverISBN 978-3-7643-7841-7

List price7 € 44,95 | £40.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

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C. A. Peters, Université de Grenoble I, St. Martin d'Heres, France; J. H. Steenbrink, Radboud Universiteit Nijmegen, The Netherlands

Mixed Hodge StructuresComprehensive basic monograph on mixed Hodge structures. Explains Delingne's mixed Hodge theory in a detailed and exhaustive fashion.

2008. XIV, 470 p. 6 illus. (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics, Volume 52) HardcoverISBN 978-3-540-77015-2

List price7 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 186,50

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H. Pham, Université Paris 7 - Dennis Diderot, France

Continuous-time Stochastic Control and Optimization with Financial ApplicationsThis text provides a systematic treatment of stochastic optimization problems applied to finance by presenting the different existing methods: dynamic programming, viscosity solutions, backward stochastic differential equations and martingale duality methods.

2009. XVII, 232 p. (Stochastic Modelling and Applied Probability, Volume 61) HardcoverISBN 978-3-540-89499-5

List price7 € 39,95 | £36.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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A. A. Pinto, University of Minho, Braga, Portugal; D. A. Rand, University of Warwick, Coventry, UK; F. Ferreira, Instituto Politécnico do Porto, Portugal

Fine Structures of Hyperbolic DiffeomorphismsThe study of hyperbolic systems is one of the core themes of modern dynamical systems. This book plays an important role in filling a gap in the present literature on hyperbolic dynamics and is highly recommended for all PhD students interested in this field.

2009. XVI, 354 p. 77 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-87524-6

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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E. Platen, University of Technology Sydney, NSW, Australia; D. Heath, Australian National University, Canberra, Australia

A Benchmark Approach to Quantitative FinanceA framework for financial market modeling, the benchmark approach extends beyond standard risk neutral pricing theory. It permits a unified treatment of portfolio optimization, derivative pricing, integrated risk management and insurance risk modeling. This book presents the necessary mathematical tools, followed by a thorough introduction to financial modeling under the benchmark approach, explaining various quantitative methods for the fair pricing and hedging of derivatives.

2006. Corr. 2nd printing 2010 2006. XVI, 700 p. 199 illus. (Springer Finance) HardcoverISBN 978-3-540-26212-1

List price7 € 69,95 | £55.997 * € (D) 74,85 | € (A) 76,95 | sFr 100,50

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W. Pohlers, Westfälische Wilhelms-University, Münster, Germany

Proof TheoryThe First Step into Impredicativity

This book on proof theory needs no previous knowledge of proof theory. Avoiding cryptic terminology as much as possible, it starts at an elementary level and displays the connections between infinitary proof theory and generalized recursion theory.

1989. 2nd printing 2009. XIV, 374 p. 5 illus. (Universitext) SoftcoverISBN 978-3-540-69318-5

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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V. V. Prasolov, Independent University of Moscow, Russia

PolynomialsTranslated by D. Leites

This comprehensive book covers both long-standing results in the theory of polynomials and recent developments. After initial chapters on the location and separation of roots and on irreducibility criteria, the book covers more specialized polynomials.

2004. 2nd printing 2004. XIII, 301 p. 8 illus. (Algorithms and Computation in Mathematics, Volume 11) SoftcoverISBN 978-3-642-03979-9

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 86,00

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G. d. Prato, Scuola Normale Superiore, Pisa, Italy

An Introduction to Infinite-Dimensional AnalysisBased on well-known lectures given at Scuola Normale Superiore in Pisa, this book introduces analysis in a separable Hilbert space of infinite dimension. It starts from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate basic stochastic dynamical systems and Markov semi-groups, paying attention to their long-time behavior.

2006. X, 214 p. (Universitext) SoftcoverISBN 978-3-540-29020-9

List price7 € 44,95 | £35.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

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P. Pucci, Università degli Studi di Perugia, Italy; J. B. Serrin, University of Minnesota, MN, USA

The Maximum PrincipleThe first book containing a detailed description of modern work on the maximum principle for nonlinear elliptic differential equationsContains applications to the celebrated symmetry question, to elliptic dead core phenomena, uniqueness theorems, the Harnack inequality and the compact support principle

2007. X, 234 p. (Progress in Nonlinear Differential Equations and Their Applications, Volume 73) HardcoverISBN 978-3-7643-8144-8

List price7 € 56,95 | £51.997 * € (D) 60,94 | € (A) 62,65 | sFr 82,00

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C. C. Pugh, University of California at Berkeley, Berkeley, CA, USA

Real Mathematical AnalysisThis introduction to undergraduate real analysis stresses the importance of pictures in math-ematics and hard problems. The exposition is informal and relaxed, with many helpful asides, examples and occasional comments from mathematicians.

2002. Corr. 2nd printing 2002. XI, 437 p. 133 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-95297-0

List price7 € 51,95 | £46.997 * € (D) 55,59 | € (A) 57,15 | sFr 80,50

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A. Quarteroni, Ecole Polytechnique Fédérale de Lausanne, Switzerland; A. Valli, University of Trento, Povo, Italy

Numerical Approximation of Partial Differential EquationsThis soft cover reprint of the popular hard-bound thoroughly illustrates numerical methods. It carries out their stability and convergence analysis, derives error bounds, and discusses the algorithmic aspects relative to their implementation.

1994. 2nd printing 1994. XVI, 544 p. 59 illus. (Springer Series in Computational Mathematics, Volume 23) SoftcoverISBN 978-3-540-85267-4

List price7 € 49,95 | £44.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

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P. Quittner, University of Bratislava, Slovakia; P. Souplet, Université Paris XIII, France

Superlinear Parabolic ProblemsBlow-up, Global Existence and Steady States

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems. The book is self-contained and up-to-date, taking special care on the didactical preparation of the material.

2007. XI, 584 p. (Birkhäuser Advanced Texts Basler Lehrbücher) HardcoverISBN 978-3-7643-8441-8

List price7 € 69,90 | £62.997 * € (D) 74,79 | € (A) 76,89 | sFr 119,00

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M. Rappaz, Laboratory of Physical Metallurgy, Lausanne, Switzerland; M. Bellet, Ecole de Mines de Paris, Sophia Antipolis, France; M. Deville, Swiss Federal Institute of Technology, Lausanne, Switzerland

Numerical Modeling in Materials Science and EngineeringTransl. French from R. Snyder

This book introduces the concepts and methodologies related to the modelling of complex phenomena occurring in materials processing, developing finite differences, finite volumes and finite elements through phase transformation, solid mechanics and fluid flow.

2003. XI, 540 p. 286 illus. (Springer Series in Computational Mathematics, Volume 32) HardcoverISBN 978-3-540-42676-9

List price7 € 119,95 | £108.007 * € (D) 128,35 | € (A) 131,95 | sFr 172,00

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B. Reddy, University of Cape Town, Rondebosch, South Africa

Introductory Functional AnalysisWith Applications to Boundary Value Problems and Finite Elements

Assumes only elementary knowledge of linear algebra, vector analysis, and differential equationsNew concepts made more accessible by copious use of concrete worked examplesDe-scriptive approach favored over detailed mathematical argumentChapter end with exercises to consolidate the materialSolutions included

1998. XIV, 492 p. 145 illus. (Texts in Applied Mathematics, Volume 27) HardcoverISBN 978-0-387-98307-3

List price7 € 85,95 | £76.507 * € (D) 91,97 | € (A) 94,55 | sFr 132,50

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R. Remmert, University of Münster, Germany

Classical Topics in Complex Function TheoryTranslated by L. Kay

Ideal for advanced courses in the theory of complex functions, this book leads readers to personally experience function theory and to participate in the work of creative mathemati-cians. Offers many glimpses of the function theory of several complex variables.

1997. 380 p. 16 illus. (Graduate Texts in Mathematics, Volume 172) HardcoverISBN 978-0-387-98221-2

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R. Remmert, University of Münster, Germany

Theory of Complex FunctionsTranslated by R. Burckel

A vivid look at the material from function theory, including the residue calculus, supported by examples and practice exercises throughout. There is also ample discussion of the historical evolution of the theory, biograph-ical sketches of important contributors, and citations--in the original language with their English translation--from their classical works.

From the reviews 7 "The book affords splendid opportunities for a rich treatment of the subject." 7 Mathematical Reviews

1st. ed. 1991. Corr. 4th printing 1991. 484 p. 68 illus. (Graduate Texts in Mathematics / Readings in Mathematics, Volume 122) HardcoverISBN 978-0-387-97195-7

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00

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G. Rempala, University of Louisville, KY, USA; J. Wesolowski, Politechnika Warszawska, Waarszawa, Poland

Symmetric Functionals on Random Matrices and Random Matchings ProblemsThis superb explication of a complex subject presents the current state of the art of the mathematical theory of symmetric functionals on random matrices. It emphasizes its connection with the statistical non-parametric estimation theory.

2008. XIV, 184 p. (The IMA Volumes in Mathematics and its Applications, Volume 147) HardcoverISBN 978-0-387-75145-0

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R. T. Rockafellar, University of Washington, Seattle, WA, USA; R. J. Wets, University of California at Davis, Davis, CA, USA

Variational AnalysisDrawings by M. Wets

From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

1st. ed. 1998. Corr. 3rd printing 1998. XIII, 734 p. 151 illus. (Grundlehren der mathematischen Wissenschaften, Volume 317) HardcoverISBN 978-3-540-62772-2

List price7 € 129,95 | £117.007 * € (D) 139,05 | € (A) 142,95 | sFr 202,00

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S. Roman, Irvine, CA, USA

Advanced Linear AlgebraThis graduate level textbook provides encyclo-pedic treatment of linear algebra theory, both classical and modern. This new edition has been revised and expanded with many new chapters.

3rd ed. 2008. XVIII, 526 p. 23 illus. (Graduate Texts in Mathematics, Volume 135) HardcoverISBN 978-0-387-72828-5

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S. Roman, University of California at Irvine, CA, USA

Field Theory

From the reviews 7 "Springer has just released the second edition of Steven Roman’s Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there....Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all...a well-written expository account of a very exciting area in mathematics." 7 The Maa Mathematical Sciences Digital Library

2nd ed. 2006. XII, 335 p. 18 illus. (Graduate Texts in Mathematics, Volume 158) HardcoverISBN 978-0-387-27677-9

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J. Rosenberg, University of Maryland, College Park, MD, USA

Algebraic K-Theory and Its ApplicationsAlgebraic K-Theory is crucial in many areas of modern mathematics, especially algebraic topology, number theory, algebraic geometry, and operator theory. This text is designed to help graduate students in other areas learn the basics of K-Theory and get a feel for its many applications. Topics include algebraic topology, homological algebra, algebraic number theory, and an introduction to cyclic homology and its interrelationship with K-Theory.

1st ed 1994. Corr. 2nd printing 1994. X, 408 p. 2 illus. (Graduate Texts in Mathematics, Volume 147) HardcoverISBN 978-0-387-94248-3

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J. J. Rotman, University of Illinois, Urbana, IL, USA

An Introduction to Algebraic TopologyThis book offers a detailed exposition, with exercises, of the basic ideas of algebraic topology: homology, homotopy groups, and cohomology rings. Avoiding excessive generality, the author explains the origins of abstract concepts as they are introduced.

1988. Corr. 4th printing 1988. XIII, 460 p. 95 illus. (Graduate Texts in Mathematics, Volume 119) HardcoverISBN 978-0-387-96678-6

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 98,00

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C. Rousseau, Y. Saint-Aubin, Université de Montréal, QC, Canada

Mathematics and TechnologyWith contrib. by H. Antaya, I. Ascah-Coallier; Translated by C. Hamilton

The authors present elegant mathematical concepts such as Markov chains, function iteration and simple groups, and develop these concepts, applying them to important practical problems such as web-navigation, data compression and error correcting codes.

2008. XVI, 582 p. 214 illus. (Springer Undergraduate Texts in Mathematics and Technology) HardcoverISBN 978-0-387-69215-9

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R. M. Samelson, Oregon State University, Corvallis, OR, USA; S. Wiggins, University of Bristol, UK

Lagrangian Transport in Geophysical Jets and WavesThe Dynamical Systems Approach

Written by a specialist in geophysical fluid dynamics and an applied mathematician, this book provides an accessible introduction to new methods for analysing Lagrangian motion in geophysical flows, and surveys research in geophysical fluid dynamics that makes use of them.

2006. X, 150 p. 29 illus. (Interdisciplinary Applied Mathematics, Volume 31) HardcoverISBN 978-0-387-33269-7

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F. Sauvigny, University of Cottbus, Germany

Partial Differential EquationsVol. 1 Foundations and Integral Representations

This first volume discusses Integration and differentiation on manifolds; Functional analytic foundations; Brouwer's degree of mapping; Generalized analytic functions; Potential theory and spherical harmonics; Linear partial differential equations. We solve partial differential equations via integral representations here, reserving functional analytic solution methods for Volume Two.

2006. XIV, 437 p. 14 illus., 1 in color. (Universitext) SoftcoverISBN 978-3-540-34457-5

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F. Sauvigny, University of Cottbus, Germany

Partial Differential Equations 2Functional Analytic Methods

This encyclopedic work covers Partial Differen-tial Equations of the elliptic, parabolic, and hyperbolic type in two and several variables. While partial differential equations are solved via integral representations in the preceding volume, this second volume uses functional analytic solution methods.

2006. XIV, 392 p. 8 illus., 1 in color. (Universitext) SoftcoverISBN 978-3-540-34461-2

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K. Saxe, Macalester College, St. Paul, MN, USA

Beginning Functional AnalysisThe unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.

2002. XII, 197 p. 14 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-95224-6

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O. Scherzer, M. Grasmair, H. Grossauer, M. Haltmeier, F. Lenzen, University of Innsbruck, Austria

Variational Methods in ImagingWith its mathematically rigorous presentation, this book is a detailed treatment of the approach from an inverse problems point of view. It is geared towards graduate students and researchers in applied mathematics and can serve as a text for graduate courses.

2009. XIV, 322 p. 72 illus. (Applied Mathematical Sciences, Volume 167) HardcoverISBN 978-0-387-30931-6

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W. Schirotzek, Technische Universität Dresden, Germany

Nonsmooth AnalysisThis book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts and their application to optimization problems. The presentation is rigorous, with detailed proofs.

2007. XII, 378 p. 31 illus. (Universitext) SoftcoverISBN 978-3-540-71332-6

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P. J. Schmid, University of Washington, Seattle, WA, USA; D. S. Henningson, Royal Institute of Tech-nology, Stockholm, Sweden

Stability and Transition in Shear Flows

From the reviews 7 "This book presents a modern treatment of stability in shear flows. Stability theory has seen a number of classic treatments over the years…Schmid and Henningson’s book builds on these and offers much new material relevant to stability in shear flows....The MATLAB codes included in the appendix and a discussion of the effects of rounding error and resolution on the computations of eigenvalues of linear stability operators will be particularly helpful." 7 Siam Review

2001. XIII, 556 p. 206 illus. (Applied Mathematical Sciences, Volume 142) HardcoverISBN 978-0-387-98985-3

List price7 € 91,95 | £82.507 * € (D) 98,39 | € (A) 101,15 | sFr 143,00

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R. Schneider, Albert-Ludwigs University, Freiburg, Germany; W. Weil, University of Karlsruhe, Germany

Stochastic and Integral GeometryThis book explores the basic stationary models used in stochastic geometry and the integral geometry needed for their investigation. It includes a chapter on selected problems about geometric probabilities and an outlook to non-stationary models.

2008. XII, 694 p. (Probability and Its Applications) HardcoverISBN 978-3-540-78858-4

List price7 € 79,95 | £72.007 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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R. Schoof, Università di Roma, Italia

Catalan's ConjectureIn 1844, Eugène Charles Catalan conjectured that 8 and 9 are the only two consecutive perfect powers of natural numbers, and it was proved more than 150 years later. This book presents this spectacular result in a highly accessible way.

2009. IX, 124 p. 10 illus. (Universitext) SoftcoverISBN 978-1-84800-184-8

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J. R. Sendra, University of Alcalá, Madrid, Spain; F. Winkler, Johannes Kepler Universität Linz, Austria; S. Pérez-Diaz, University of Alcalá, Madrid, Spain

Rational Algebraic CurvesA Computer Algebra Approach

The central problem considered in this introduction for graduate students is the determination of rational parametrizability of an algebraic curve and, in the positive case, the computation of a good rational parametrization.

2008. X, 270 p. 24 illus. (Algorithms and Computation in Mathematics, Volume 22) HardcoverISBN 978-3-540-73724-7

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M. R. Sepanski, Baylor University, Waco, TX, USA

Compact Lie GroupsBlending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups.

2007. XII, 198 p. (Graduate Texts in Mathematics, Volume 235) HardcoverISBN 978-0-387-30263-8

List price7 € 40,95 | £36.997 * € (D) 43,82 | € (A) 45,05 | sFr 66,50

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R. Serfozo, Georgia Institute of Technology, Atlanta, GA, USA

Basics of Applied Stochastic ProcessesThis book gives an in-depth description of the structure and basic properties of the following stochastic processes commonly used in applications: Markov chains and continues time, renewal and regenerative processes, Poisson processes and Brownian motion.

2009. XIV, 443 p. 11 illus. (Probability and Its Applications) HardcoverISBN 978-3-540-89331-8

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E. Sernesi, Università Roma Tre, Rome, Italy

Deformations of Algebraic SchemesThis account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.

2006. XI, 342 p. (Grundlehren der mathematischen Wissenschaften, Volume 334) HardcoverISBN 978-3-540-30608-5

List price7 € 89,95 | £71.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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J. Serre, Paris, France

Algebraic Groups and Class FieldsTranslation of the French Edition

Reprint of a successful book. Written by the author of the classic, best-selling title Galois Cohomology. Presents local class field theory from the cohomological point of view.

1988. Corr. 2nd printing 1988. IX, 224 p. 4 illus. (Graduate Texts in Mathematics, Volume 117) HardcoverISBN 978-0-387-96648-9

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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J. Serre, College de France, Paris, France

Galois CohomologyTransl. French from P. Ion

This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Mathematics. It includes a reproduction of an influential paper by R. Steinberg, together with some new material and an expanded bibliography.

1997. Corr. 2nd printing 1997. X, 210 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-42192-4

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R. Seydel, Universität Köln, Germany

Tools for Computational FinanceThis book covers basic computational issues arising in financial mathematics. This edition offers major revisions around such topics as calibration, Monte Carlo Methods, American options, and exotic options. It includes new figures and more exercises.

4th ed. 2009. XXI, 336 p. 85 illus. (Universitext) SoftcoverISBN 978-3-540-92928-4

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A. N. Shiryaev, Steklov Institute, Moscow, Russia

Optimal Stopping RulesTransl. Russian from A. Aries

Although three decades have passed since the first publication of this book, it is reprinted now as a result of popular demand. The content remains up-to-date and interesting for many researchers as is shown by the many references to it in current publications. The author is one of the leading experts of the field and gives an authoritative treatment of a subject.

1978. 2nd printing 2008. XII, 220 p. 7 illus. (Stochastic Modelling and Applied Probability, Volume 8) SoftcoverISBN 978-3-540-74010-0

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R. W. Shonkwiler, Georgia Institute of Technology, Atlanta, GA, USA; F. Mendivil, Acadia University, Wolfville, NS, Canada

Explorations in Monte Carlo MethodsMonte Carlo methods are among the most used and useful computational tools available, providing efficient and practical algorithms to solve a wide range of scientific and engineering problems. This book provides a hands-on approach to learning this subject.

2009. XII, 244 p. 50 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-87836-2

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R. W. Shonkwiler, J. Herod, Georgia Institute of Technology, Atlanta, GA, USA

Mathematical BiologyAn Introduction with Maple and Matlab

This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.

2nd ed. 2009. XIV, 554 p. 156 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-70983-3

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T. S. Shores, University of Nebraska, Lincoln, NE, USA

Applied Linear Algebra and Matrix AnalysisThis text is intended as a one or two semester sophomore level course in linear algebra. It is designed to provide a balance of applications, theory and computation, and to emphasize their interdependence.

2007. XII, 388 p. 27 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-33194-2

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J. H. Silverman, Brown University, Providence, RI, USA

The Arithmetic of Elliptic CurvesThe theory of elliptic curves is distinguished by the diversity of the methods used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry.

2nd ed. 2009. XX, 514 p. 14 illus. (Graduate Texts in Mathematics, Volume 106) HardcoverISBN 978-0-387-09493-9

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N. Sinclair, Michigan State University, East Lansing, MI, USA; W. Higginson, Queen's University, Kingston, ON, Canada (Eds.)

Mathematics and the AestheticNew Approaches to an Ancient Affinity

This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

2007. XVI, 288 p. 78 illus., 13 in color. (CMS Books in Mathematics) HardcoverISBN 978-0-387-30526-4

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T. Springer, Universiteit Utrecht, The Netherlands

Linear Algebraic GroupsThe first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. This second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically closed.

2nd ed. 1998. 2nd printing 1998. XII, 334 p. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4839-8

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S. M. Srivastava, Indian Statistical Institute, Kolkata, India

A Course on Mathematical LogicThis book provides a distinctive, well-motivated introduction to mathematical logic. It starts with the definition of first order languages, proceeds through propositional logic, complete-ness theorems, and finally the two Incomplete-ness Theorems of Godel.

2008. X, 150 p. (Universitext) SoftcoverISBN 978-0-387-76275-3

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J. Stalker, School of Mathematics, Trinity College, Dublin, Ireland

Complex AnalysisFundamentals of the Classical Theory of Functions

In this concise introduction to the classical theory of one complex variable the content is driven by techniques and examples, rather than definitions and theorems.

1998. 2nd printing 1998. XIV, 228 p. 5 illus. (Modern Birkhäuser Classics) SoftcoverISBN 978-0-8176-4918-0

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R. Stekolshchik, Tel-Aviv, Israel

Notes on Coxeter Transformations and the McKay CorrespondenceIncludes a number of new proofs relating to Coxeter Transformations and the McKay Correspondence. Ideas and formulae from a wide variety of researchers in the field.

2008. XX, 240 p. 28 illus. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-77398-6

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H. Stichtenoth, Sabanci University, Istanbul, Turkey

Algebraic Function Fields and CodesThis is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult.

2nd ed. 2008. XIII, 355 p. 14 illus. (Graduate Texts in Mathematics, Volume 254) HardcoverISBN 978-3-540-76877-7

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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J. Stillwell, Monash University, Clayton, VIC, Australia

Classical Topology and Combinatorial Group TheoryThis introduction to topology stresses geometric aspects, focusing on historical background and visual interpretation of results. The 2nd edition offers 300 illustrations, numerous exercises, challenging open problems and a new chapter on unsolvable problems.

2nd ed. 1993. Corr. 2nd printing 1993. XII, 334 p. 312 illus. (Graduate Texts in Mathematics, Volume 72) HardcoverISBN 978-0-387-97970-0

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,00

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J. Stillwell, Monash University, Clayton, Vic., Australia

Geometry of SurfacesThe geometry of surfaces is an ideal starting point for learning geometry, for, among other reasons, the theory of surfaces of constant curvature has maximal connectivity with the rest of mathematics. This text provides the student with the knowledge of a geometry of greater scope than the classical geometry taught today, which is no longer an adequate basis for mathematics or physics, both of which are becoming increasingly geometric. It includes exercises and informal discussions.

1992. Corr. 2nd printing 1992. XI, 236 p. 164 illus. (Universitext) SoftcoverISBN 978-0-387-97743-0

List price7 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00

Sale price7 € 24,95 | £22.997 * € (D) 26,70 | € (A) 27,45 | sFr 36,00

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J. Stillwell, University of San Francisco, CA, USA

Naive Lie TheoryThis book aims to fill a gap in the literature by introducing Lie theory to junior and senior level undergraduates. In order to achieve this, the author focuses on the so-called "classical groups,'' viewed as matrix groups with real, complex, or quaternion entries. This allows them to be studied by elementary methods from calculus and linear algebra. Each chapter is enhanced with numerous exercises, discussion of further results, and historical comments.

2008. XI, 218 p. 25 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-78214-0

List price7 € 40,95 | £36.997 * € (D) 43,82 | € (A) 45,05 | sFr 63,50

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J. Stillwell, Monash Unversity, Clayton, VIC, Australia

Numbers and GeometryNumbers and Geometry is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. This book gives a broad view of these subjects at the level of calculus. Its roots are in arithmetic and geometry, the two opposite poles of math-ematics, and the source of historic conceptual conflict. The resolution of this conflict, and its role in the development of mathematics, is one of the main stories in the book.

1997. 364 p. 95 illus. (Undergraduate Texts in Mathematics) HardcoverISBN 978-0-387-98289-2

List price7 € 48,95 | £43.997 * € (D) 52,38 | € (A) 53,85 | sFr 75,00

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D. W. Stroock, Massachusetts Institute of Technology, Cambridge, MA, USA

An Introduction to Markov ProcessesThis book provides an introduction to the theory of Markov Processes on a countable state space, accessible to students with a solid undergraduate background in mathematics, including students from engineering, economics, physics, and biology. Coverage includes Doeblin's theory, general ergodic properties, and continuous time processes. A chapter is devoted to reversible processes and the use of their associated Dirichlet forms to estimate the rate of convergence to equilibrium.

2005. XIV, 171 p. (Graduate Texts in Mathematics, Volume 230) SoftcoverISBN 978-3-540-23451-7

List price7 € 44,95 | £35.997 * € (D) 48,10 | € (A) 49,45 | sFr 64,50

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W. Sun, Nanjing Normal University, China; Y. Yuan, Chinese Academy of Sciences, Beijing, China

Optimization Theory and MethodsNonlinear Programming

This book is the result of the author's teaching and research over the past decade. It describes optimization theory and several powerful methods. For most methods, the book discusses an idea’s motivation, studies the derivation, establishes the global and local convergence, describes algorithmic steps, and discusses the numerical performance.

2006. XII, 687 p. 25 illus. (Springer Optimization and Its Applications, Volume 1) HardcoverISBN 978-0-387-24975-9

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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M. Takesaki, University of California, Los Angeles, CA, USA

Theory of Operator Algebras IIWith Volume I and III, this book presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis.

From the reviews 7 "These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." 7 Acta Scientiarum Mathematicarum

2003. XXII, 518 p. (Encyclopaedia of Mathematical Sciences, Volume 125) HardcoverISBN 978-3-540-42914-2

List price7 € 109,95 | £99.007 * € (D) 117,65 | € (A) 120,95 | sFr 171,00

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L. Tartar, Carnegie Mellon University, Pittsburgh, PA, USA

An Introduction to Navier-Stokes Equation and OceanographyThis text corresponds to a graduate mathematics course taught at Carnegie Mellon University in the spring of 1999. Included are comments added to the lecture notes, a bibliography containing 23 items, and brief biographical information for all scientists mentioned in the text, thus showing that the creation of scientific knowledge is an international enterprise.

2006. XXVIII, 247 p. (Lecture Notes of the Unione Matematica Italiana, Volume 1) SoftcoverISBN 978-3-540-35743-8

List price7 € 39,95 | £31.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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P. Tauvel, R. W. Yu, Université de Poitiers, France

Lie Algebras and Algebraic GroupsDevoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim of the book is to assemble in a single volume the algebraic aspects of the theory, so as to present the foundations of the theory in characteristic zero. Detailed proofs are included, and some recent results are discussed in the final chapters.

2005. XVI, 653 p. (Springer Monographs in Mathematics) HardcoverISBN 978-3-540-24170-6

List price7 € 74,95 | £59.997 * € (D) 80,20 | € (A) 82,45 | sFr 124,50

Sale price7 € 42,95 | £38.997 * € (D) 45,96 | € (A) 47,25 | sFr 62,00

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Dirk van Dalen

Logic and StructureThis revised printing of Van Dalen's popular text improves an already acclaimed treatment of elementary classical logic. Suggestions and comments from readers have been adopted, a number of errors have been corrected, and some definitions have been streamlined. The 4th edition adds a chapter on the incompleteness of arithmetic, and useful information on basic recursion theory and arithmetic. In sum, it teaches logic to mathematicians in a clear, relaxed style.

4th ed. 2004. Corr. 2nd printing 2004. X, 268 p. (Universitext) SoftcoverISBN 978-3-540-20879-2

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 62,00

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R. Vanderbei, Princeton University, NJ, USA

Linear ProgrammingFoundations and Extensions

Introduces the latest theory and applications in optimization, emphasizing constrained optimization. You’ll find a host of practical business applications and non-business applications. The book offers free C programs to implement the major algorithms covered.

3rd ed. 2008. XX, 464 p. 82 illus., 16 in color. (International Series in Operations Research & Management Science, Volume 114) HardcoverISBN 978-0-387-74387-5

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 125,50

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R. S. Varga, Kent State University, OH, USA

Matrix Iterative AnalysisThis book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added

2nd. ed. 2000. 2nd printing 2000. X, 358 p. (Springer Series in Computational Mathematics, Volume 27) SoftcoverISBN 978-3-642-05154-8

List price7 € 89,95 | £81.007 * € (D) 96,25 | € (A) 98,95 | sFr 129,00

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C. Villani, Ecole Normale Supérieure de Lyon, France

Optimal TransportOld and New

The field of optimal transport has made breathtaking forays into various other domains of mathematics. This book presents a broad overview of this area. PhD students or researchers can read the entire book without any prior knowledge of the field.

2009. XXII, 978 p. 33 illus. (Grundlehren der mathematischen Wissenschaften, Volume 338) HardcoverISBN 978-3-540-71049-3

List price7 € 99,95 | £89.997 * € (D) 106,95 | € (A) 109,95 | sFr 143,50

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Valery V. Volchkov, Vitaly V. Volchkov, Donetsk National University, Ukraine

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg GroupThis highly topical book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. The book contains most of the significant recent results in this area with complete and detailed proofs.

2009. XI, 671 p. (Springer Monographs in Mathematics) HardcoverISBN 978-1-84882-532-1

List price7 € 99,95 | £59.997 * € (D) 106,95 | € (A) 109,95 | sFr 143,50

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Z. Wang, University of Nebraska at Omaha, NE, USA; G. J. Klir, Binghamton University, Binghamton, NY, USA

Generalized Measure TheoryThis exposition of generalized measure theory unfolds systematically. It begins with prelimi-naries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and associated integration theory.

2009. XVI, 384 p. 25 illus. (IFSR International Series on Systems Science and Engineering, Volume 25) HardcoverISBN 978-0-387-76851-9

List price7 € 62,95 | £56.997 * € (D) 67,36 | € (A) 69,25 | sFr 90,50

Sale price7 € 34,95 | £31.997 * € (D) 37,40 | € (A) 38,45 | sFr 50,50

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B. Wehrfritz, School of Mathematical Sciences, University of London, Queen Mary, London, UK

Group and Ring Theoretic Properties of Polycyclic GroupsThe first half of this book develops the standard group theoretic techniques for studying polycyclic groups and their basic properties. The second half focuses specifically on the ring theoretic properties of polycyclic groups and their applications.

2009. VII, 128 p. (Algebra and Applications, Volume 10) HardcoverISBN 978-1-84882-940-4

List price7 € 79,95 | £49.957 * € (D) 85,55 | € (A) 87,95 | sFr 115,00

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S. H. Weintraub, Lehigh University, Bethlehem, PA, USA

Galois TheoryThe new edition of this text on classical Galois Theory approaches the theory from the linear algebra point of view, following Artin. It also presents a number of applications of the theory and an expanded chapter on transcendental extensions.

2nd ed. 2009. XIV, 212 p. (Universitext) SoftcoverISBN 978-0-387-87574-3

List price7 € 42,95 | £38.997 * € (D) 45,96 | € (A) 47,25 | sFr 62,00

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P. Wesseling, Delft University of Technology, The Netherlands

Principles of Computational Fluid DynamicsThis is a soft cover reprint of a very popular hardcover edition, published in 1999. It provides an up-to-date account of the state-of-the-art of numerical methods employed in computational fluid dynamics.

2001. XII, 644 p. (Springer Series in Computational Mathematics, Volume 29) SoftcoverISBN 978-3-642-05145-6

List price7 € 64,95 | £58.997 * € (D) 69,50 | € (A) 71,45 | sFr 93,50

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R. Wilson, Queen Mary University of London, UK

The Finite Simple GroupsHere, a thorough grounding in the theory of alternating and classical groups is followed by discussion of exceptional groups (classed as automorphism groups of multilinear forms), sporadic and Chevalley groups, as well as the theory of Lie algebras.

2009. XV, 298 p. (Graduate Texts in Mathematics, Volume 251) HardcoverISBN 978-1-84800-987-5

List price7 € 49,95 | £29.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

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D. Wodarz, University of California, Irvine, CA, USA

Killer Cell DynamicsMathematical and Computational Approaches to Immunology

Designed to be useful to immunoligists and viroligists without extensive computational background, this book covers a broad variety of topics, including both basic immunological questions and the application of these insights to the understanding and treatment of pathogenic human diseases.

2007. XIV, 226 p. 74 illus. (Interdisciplinary Applied Mathematics, Volume 32) HardcoverISBN 978-0-387-30893-7

List price7 € 66,95 | £59.997 * € (D) 71,64 | € (A) 73,65 | sFr 104,50

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H. Wolkowicz, University of Waterloo, ON, Canada; R. Saigal, University of Michigan, Ann Arbor, USA; L. Vandenberghe, University of California at Los Angeles, USA (Eds.)

Handbook of Semidefinite ProgrammingTheory, Algorithms, and Applications

This handbook offers a broad, advanced overview of the current state of Semidefinite Programming, in nineteen chapters written by the leading experts on the subject. The material is organized in three parts: Theory, Algorithms, and Applications and Extensions.

2000. 688 p. (International Series in Operations Research & Management Science, Volume 27) HardcoverISBN 978-0-7923-7771-9

List price7 € 259,00 | £226.007 * € (D) 277,13 | € (A) 284,90 | sFr 390,00

Sale price7 € 142,95 | £129.007 * € (D) 152,96 | € (A) 157,25 | sFr 205,00

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J. Yong, Fudan University, Shanghai, China; X. Y. Zhou, The Chinese University of Hong Kong, Shatin, China

Stochastic ControlsHamiltonian Systems and HJB Equations

This book unifies the maximum principle and dynamic programming, the two most commonly used approaches in solving optimal control problems. The author shows that the viscosity solution theory provides the unifying framework.

1999. XXII, 438 p. (Stochastic Modelling and Applied Probability, Volume 43) HardcoverISBN 978-0-387-98723-1

List price7 € 110,95 | £99.507 * € (D) 118,72 | € (A) 122,05 | sFr 171,50

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E. Zeidler, Max-Planck-Institut für Mathematik in den Naturwissenschaften Leipzig, Germany

Applied Functional AnalysisApplications to Mathematical Physics

The first part of an elementary textbook combining linear functional analysis, nonlinear functional analysis, numerical functional analysis and their substantial applications with each other. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics and quantum statistics. The second part is entitled, Applied Functional Analysis.

1st ed 1995. Corr. 3rd printing 1995. XXIX, 516 p. 56 illus. (Applied Mathematical Sciences, Volume 108) HardcoverISBN 978-0-387-94442-5

List price7 € 99,95 | £89.507 * € (D) 106,95 | € (A) 109,95 | sFr 154,50

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F. Zhang, Nova Southeastern University, Fort Lauderdale, FL, USA

Matrix TheoryBasic Results and Techniques

This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given.

1999. XIII, 277 p. (Universitext) HardcoverISBN 978-0-387-98696-8

List price7 € 59,95 | £53.997 * € (D) 64,15 | € (A) 65,95 | sFr 92,00

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Y. Zhu, University of North Carolina at Charlotte, Charlotte, NC, USA; X. Wu, Hong Kong Baptist University, Kowloon, Hong Kong, China; I. Chern, National Taiwan University, Taipei, Taiwan

Derivative Securities and Difference MethodsThis book studies pricing financial derivatives with a partial differential equation approach. The treatment is mathematically rigorous and covers a variety of topics in finance including forward and futures contracts, the Black-Scholes model, European and American type options, free boundary problems, lookback options, interest rate models, interest rate derivatives, swaps, caps, floors, and collars. Each chapter concludes with exercises.

2004. XVIII, 518 p. 92 illus. (Springer Finance) HardcoverISBN 978-0-387-20842-8

List price7 € 80,95 | £72.507 * € (D) 86,62 | € (A) 89,05 | sFr 128,00

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H. Zoladek, University of Warsaw, Poland

The Monodromy GroupIn singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.

2006. XI, 580 p. (Monografie Matematyczne, Volume 67) HardcoverISBN 978-3-7643-7535-5

List price7 € 99,95 | £90.007 * € (D) 106,95 | € (A) 109,95 | sFr 143,50

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V. A. Zorich, Moscow State University, Moscow, Russia

Mathematical Analysis ITranslated by R. Cooke

This softcover edition of a very popular work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions.

2004. XVIII, 578 p. (Universitext) HardcoverISBN 978-3-540-40386-9

List price7 € 49,95 | £39.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

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V. A. Zorich, Moscow State University, Moscow, Russia

Mathematical Analysis ITranslated by R. Cooke

This softcover edition of a very popular work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions.

2004. 2nd printing 2004. XVIII, 578 p. (Universitext) SoftcoverISBN 978-3-540-87451-5

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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V. A. Zorich, Moscow State University, Moscow, Russia

Mathematical Analysis II

Translated by: R. Cooke

This softcover edition of a very popular work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions.

2004. XV, 688 p. (Universitext) HardcoverISBN 978-3-540-40633-4

List price7 € 49,95 | £39.997 * € (D) 53,45 | € (A) 54,95 | sFr 72,00

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springer.com/booksales64

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French Titles Yellow Sale 2011

V. A. Zorich, Moscow State University, Moscow, Russia

Mathematical Analysis IITranslated by R. Cooke

This softcover edition of a very popular work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds, Fourier, Laplace, and Legendre transforms, elliptic functions and distributions.

2004. 2nd printing 2004. XV, 688 p. (Universitext) SoftcoverISBN 978-3-540-87453-9

List price7 € 39,95 | £35.997 * € (D) 42,75 | € (A) 43,95 | sFr 57,50

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French Titles

J. Abdeljaoued, Université de Tunis, Tunisia; H. Lombardi, UMR CNRS, Besancon, France

Méthodes matricielles - Introduction à la complexité algébriqueCe livre est une introduction à la théorie de la complexité algébrique basée sur un panorama des méthodes algorithmiques en algèbre linéaire exacte. Il donne en particulier les principaux algorithmes pour le calcul du polynôme caracté-ristique. Ce livre se remarque par l'étendue des sujets traités tout en restant très lisible.

2004. XV, 376 p. (Mathématiques et Applications, Volume 42) BrochéISBN 978-3-540-20247-9

List price7 € 65,40 | £51.997 * € (D) 69,98 | € (A) 71,94 | sFr 94,00

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G. Barles, Universite de Tours, France

Solutions de viscosité des équations de Hamilton-JacobiLe but de ce livre est de présenter la théorie des solutions de viscosité pour les équations de Hamilton-Jacobi du premier ordre et ses applications aux problèmes de contrôle optimal déterministe et de perturbations singulières, en particulier du type Grandes Déviations. Il est principalement destiné aux étudiants de troisième cycle et aux chercheurs qui souhaitent se familiariser avec cette théorie mais il en fournit également un panorama assez complet pour les équations du premier ordre.

1994. IX, 194 p. (Mathématiques et Applications, Volume 17) BrochéISBN 978-3-540-58422-3

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C. Bernardi, Y. Maday, Université Pierre et Marie Curie, Paris, France; F. Rapetti, Université de Nice et Sophia-Antipolis, Nice, France

Discrétisations variationnelles de problèmes aux limites elliptiquesL'analyse numérique de deux types de discrétisations variationnelles est effectuée en détail pour des problèmes elliptiques: les méthodes spectrales et les méthodes d'éléments finis. L'originalité de cet ouvrage est d'insérer ces deux types de discrétisation dans un cadre abstrait commun, ce qui permet au lecteur d'étendre l'approche à bien d'autres méthodes et problèmes.

2004. XI, 310 p. (Mathématiques et Applications, Volume 45) BrochéISBN 978-3-540-21369-7

List price7 € 54,98 | £43.997 * € (D) 58,83 | € (A) 60,48 | sFr 79,00

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B. Bidégaray-Fesquet, Université Grenoble I, France

Hiérarchie de modèles en optique quantiqueDe Maxwell-Bloch à Schrödinger non-linéaire

Cet ouvrage présente les modèles d'interaction onde-matière faisant intervenir une description quantique de la matière (optique quantique), ainsi que des modèles classiques qui en sont dérivés. L'objectif est de décrypter pour des lecteurs mathématiciens ces modèles habituelle-ment décrits dans des livres de physique et de donner les résultats mathématiques et les méthodes numériques existants.

2006. XIII, 175 p. 21 ill. (Mathématiques et Applications, Volume 49) BrochéISBN 978-3-540-27238-0

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Yellow Sale 2011 French Titles

B. Bonnard, L. Faubourg, Université de Bourgogne, Dijon; E. Trélat, Université Paris-Sud, Orsay, France

Mécanique céleste et contrôle des véhicules spatiauxLe but de ce livre est de présenter les développe-ments récents du contrôle géométrique orienté vers la commande des véhicules spatiaux. Son contenu a servi de base à une série de cours de contrôle et d'automatique de 3e cycle. Il s'appuie sur des projets de recherche avec l'ESTEC et le CNES, sur le contrôle d'attitude d'un satellite, le problème de transfert orbital en temps minimal, et le problème de rentrée atmosphérique d'une navette spatiale.

2006. XIV, 276 p. 11 ill. (Mathématiques et Applications, Volume 51) BrochéISBN 978-3-540-28373-7

List price7 € 52,13 | £41.997 * € (D) 55,78 | € (A) 57,34 | sFr 75,00

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F. Boyer, Université de Provence, Marseille, France; P. Fabrie, Université Bordeaux 1, Talence, France

Eléments d'analyse pour l'étude de quelques modèles d'écoulements de fluides visqueux incompressiblesCet ouvrage initie le lecteur à l'analyse de certaines équations aux dérivées partielles issues de la mécanique des fluides. Celles-ci sont présentées à partir des principes fondamentaux de la mécanique et de la thermodynamique. Une partie importante du texte est consacrée aux résultats "classiques" sur les problèmes de Stokes et de Navier-Stokes homogènes incompressibles.

2006. XVI, 400 p. 12 ill. (Mathématiques et Applications, Volume 52) BrochéISBN 978-3-540-29818-2

List price7 € 71,09 | £56.997 * € (D) 76,07 | € (A) 78,20 | sFr 102,00

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E. Cances, C. Le Bris, École Nationale des Ponts et Chaussés, Marne-la-Vallée, France; Y. Maday, Université Pierre et Marie Curie, France

Méthodes mathématiques en chimie quantique. Une introductionCe cours est une introduction à la modélisation mathématique et à l'analyse numérique pour la chimie moléculaire quantique, un champ peu connu des mathématiciens et pourtant riche en sujets d'investigation. Le point de vue choisi est celui du mathématicien appliqué. Le cours est construit de manière auto-consistante.

2006. XVI, 411 p. 34 ill. (Mathématiques et Applications, Volume 53) BrochéISBN 978-3-540-30996-3

List price7 € 76,78 | £60.997 * € (D) 82,15 | € (A) 84,46 | sFr 110,50

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N. Caspard, Université Paris XII, France; B. Leclerc, Centre d'Analyse et de Mathématique Sociales, Paris, France; B. Monjardet, Université Paris I Panthéon-Sorbonne, Paris, France

Ensembles ordonnés finis : concepts, résultats et usagesLes buts principaux de cet ouvrage qui comble un vide sont de : - donner les concepts et résultats fondamentaux sur les ensembles ordonnés finis, - présenter leurs usages dans des domaines variés (de la RO ou l’IA à la micro-économie),- signaler un certain nombre de résultats et de recherches en cours.

2007. XVII, 340 p. 62 ill. (Mathématiques et Applications, Volume 60) BrochéISBN 978-3-540-73755-1

List price7 € 54,98 | £49.997 * € (D) 58,83 | € (A) 60,48 | sFr 79,00

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M. Choulli, Université Paul Verlaine, Metz, France

Une introduction aux problèmes inverses elliptiques et paraboliquesCet ouvrage est consacré à une introduction aux problèmes inverses elliptiques et paraboliques. L’ objectif est de présenter quelques méthodes récentes pour établir des résultats d’unicité et de stabilité. Seront traités quelques problèmes inverses elliptiques devenus maintenant classiques, tels que la conductivité inverse, la détection de corrosion ou de fissures et les problèmes spectraux inverses.

2009. XXII, 252 p. (Mathématiques et Applications, Volume 65) BrochéISBN 978-3-642-02459-7

List price7 € 60,66 | £54.997 * € (D) 64,91 | € (A) 66,73 | sFr 87,00

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J. Cousteix, Office National d'Etudes et de Recherches Aérospatiales ( ONERA), Toulouse, France; J. Mauss, Université Paul Sabatier, Toulouse, France

Analyse asymptotique et couche limiteLe but du livre est de donner aux enseignants et aux étudiants (à partir de Bac+4) en mathéma-tiques appliquées et en mécanique des fluides un outil d'enseignement et d'apprentissage illustré par cinquante problèmes accompagnés de leur correction détaillée. Il présente une nouvelle méthode d'analyse asymptotique pour des problèmes de "couche limite".

2006. XII, 396 p. 59 ill. (Mathématiques et Applications, Volume 56) BrochéISBN 978-3-540-31002-0

List price7 € 74,88 | £59.997 * € (D) 80,12 | € (A) 82,37 | sFr 107,50

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French Titles Yellow Sale 2011

J. Dedieu, Université Paul Sabatier, Toulouse, France

Points fixes, zéros et la méthode de NewtonCet ouvrage est consacré aux points fixes d'applications différentiables, aux zéros de systèmes non-linéaires et à la méthode de Newton. Il s'adresse à des étudiants de mastère ou préparant l'agrégation de mathématique et à des chercheurs confirmés.

2006. XII, 198 p. 7 ill. (Mathématiques et Applica-tions, Volume 54) BrochéISBN 978-3-540-30995-6

List price7 € 34,12 | £26.997 * € (D) 36,51 | € (A) 37,53 | sFr 49,00

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J. Françoise, Université Pierre et Marie Curie, Paris VI, France

Oscillations en biologieAnalyse qualitative et modèles

Les oscillations complexes mises en évidence dans les systèmes physiologiques s'analysent par des modèles. Cet ouvrage se propose de présenter et de développer les mathématiques nécessaires à leur compréhension. On présente en particulier les notions d'excitabilité, de bistabilité, de synchronisation et d'oscillations en salves dans le cadre de l'analyse qualitative.

2005. XII, 179 p. (Mathématiques et Applications, Volume 46) BrochéISBN 978-3-540-25152-1

List price7 € 34,12 | £26.997 * € (D) 36,51 | € (A) 37,53 | sFr 49,00

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G. Gagneux, M. Madaune-Tort, Universite de Pau et des Pays de l' Adour, Pau, France

Analyse mathématique de modèles non linéaires de l'ingénierie pétrolièrePréface par C. Marle

Cet ouvrage présente l'analyse mathématique de systèmes issus de l'industrie pétrolière. Le lecteur y trouvera, avec une présentation d'ensemble du sujet et les rappels utiles à l'autonomie du propos, des résultats récents et des méthodes adaptables à d'autres domaines de la mécanique des fluides (modèles non linéaires de diffusion-transport en pédologie, simulation des pollutions, cryogénie industrielle, etc...).

1996. XVII, 187 p. (Mathématiques et Applications, Volume 22) BrochéISBN 978-3-540-60588-1

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C. Goldstein, Universite de Paris-Sud, France (Ed.)

Seminaire de Theorie des Nombres, Paris 1985-86This is the sixth annual volume of papers based on the outstanding lectures given at the Séminaire de Théorie des Nombres de Paris. The results presented in 1985-86 by an international group of mathematicians reflect the most recent work in many areas of number theory.

1987. 228 p. (Progress in Mathematics, Volume 71) RelieISBN 978-0-8176-3369-1

List price7 € 68,00 | £53.997 * € (D) 72,76 | € (A) 74,80 | sFr 98,00

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P. Lopez, A. S. Nouri

Théorie élémentaire et pratique de la commande par les régimes glissantsLa première partie de cet ouvrage est une initiation aux modes glissants complétée par divers aspects pratiques, dans le cas des systèmes continus mono-entrée mono-sortie. La deuxième partie propose divers modes glissants généralisés et aspects théoriques, dans le cas des systèmes multi-entrée multi-sortie continus, discrets et hybrides.

2006. XVI, 338 p. 159 ill. (Mathématiques et Applications, Volume 55) BrochéISBN 978-3-540-31003-7

List price7 € 61,61 | £48.997 * € (D) 65,92 | € (A) 67,77 | sFr 88,50

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Q. S. Nguyen

Stabilité des structures élastiquesCe livre résulte des notes de cours sur la stabilité des structures, cours de spécialité offert à l'Ecole Nationale des Ponts et Chaussées, à l'Ecole Polytechnique et aux DEA Mécanique. Il s'agit d'une présentation simple et auto-cohérente des principaux résultats de la théorie de stabilité et de bifurcation des structures. Si le premier objectif reste l'enseignement et l'initiation, ce livre intéresse aussi les ingénieurs et les lecteurs avertis qui cherchent une présentation naturelle et moderne sur la stabilité faisant le lien entre les traités d'ingénieurs et les ouvrages de recherche plus complets mais aussi d'accès plus difficile.

1995. XIV, 148 p. (Mathématiques et Applications, Volume 18) BrochéISBN 978-3-540-58927-3

List price7 € 28,44 | £22.997 * € (D) 30,43 | € (A) 31,28 | sFr 41,00

Sale price7 € 16,95 | £15.997 * € (D) 18,14 | € (A) 18,64 | sFr 24,50

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Yellow Sale 2011 German Titles

J. Tate

Les Conjectures de Stark sur les Fonctions L d'Artin en s=0Notes d'un cours a Orsay redigees par Dominique Bernardi

This book presents a self-contained introduc-tion to H.M. Stark’s remarkable conjectures about the leading term of the Taylor expansion of Artin’s L-functions at s=0. These conjectures can be viewed as a vast generalization of Dirichlet’s class number formula and Kroneck-er’s limit formula. They provide an unexpected contribution to Hilbert’s 12th problem on the generalization of class fields by the values of transcendental functions. This volume belongs on the shelf of every mathematics library.

1984. 156 p. (Progress in Mathematics, Volume 47) RelieISBN 978-0-8176-3188-8

List price7 € 38,32 | £27.007 * € (D) 41,00 | € (A) 42,15 | € (A) | sFr 72,00

Sale price7 € 19,95 | £17.997 * € (D) 21,35 | € (A) 21,95 | sFr 29,00

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L. Younes, Johns Hopkins University, Baltimore, MD, USA

Invariance, déformations et reconnaissance de formesCet ouvrage introduit un certain nombre de techniques disponibles pour la reconnaissance de formes planes, en mettant l'accent sur l'importance de la prise en compte des deux notions essentielles que sont l'invariance et l'analyse des déformations.

2004. XVII, 248 p. (Mathématiques et Applications, Volume 44) BrochéISBN 978-3-540-40868-0

List price7 € 45,50 | £35.997 * € (D) 48,69 | € (A) 50,05 | sFr 65,50

Sale price7 € 24,95 | £22.997 * € (D) 26,70 | € (A) 27,45 | sFr 36,00

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German Titles

J. Bergh, F. Ekstedt, Chalmers Teknikpark, Göteborg, Sweden; M. Lindberg, Algo Trim AB, Malmö, Sweden

Wavelets mit Anwendungen in Signal- und BildverarbeitungÜbersetzt von: M. Stern

Korrekte, schnelle Einführung in Form einer gelungenen Kombination aus Monografie und Handbuch. Sie spricht Leser an, die sich mit den grundlegenden mathematischen Ideen und Techniken vertraut machen und zugleich wissen möchten, wie die Theorie angewendet wird…

2007. XII, 207 S. 85 Abb. (Springer-Lehrbuch Masterclass) Brosch.ISBN 978-3-540-49011-1

List price7 € 42,01 | £37.997 * € (D) 44,95 | € (A) 46,21 | € (A) | sFr 60,50

Sale price7 € 21,45 | £19.997 * € (D) 22,95 | € (A) 23,59 | sFr 31,00

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B. Bergmann, M. Epple, Goethe-Universität Frankfurt am Main (Hrsg.)

Jüdische Mathematiker in der deutschsprachigen akademischen Kultur

2009. XI, 236 S. Geb.ISBN 978-3-540-69250-8

List price7 € 37,34 | £33.997 * € (D) 39,95 | € (A) 41,07 | € (A) | sFr 54,00

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J. Brüdern, Universität Stuttgart

Einführung in die analytische ZahlentheorieDiese Einführung in die analytische Zahlen-theorie wendet sich an Studierende der Mathematik, die bereits mit der Funktionen-theorie und den einfachsten Grundtatsachen der Zahlentheorie vertraut sind und ihre Kenntnisse in Zahlentheorie vertiefen möchten. Die ausführliche, motivierende Darstellung der behandelten Themen soll den Einstieg in die Ideen und technischen Details erleichtern. Geeignet als Begleitlektüre zu Vorlesungen und zum Selbststudium. Mit zahlreichen Aufgaben und Lösungshinweisen.

1995. X, 238 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-58821-4

List price7 € 32,66 | £25.997 * € (D) 34,95 | € (A) 35,93 | sFr 47,00

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T. Deck, Universität Mannheim

Der Itô-KalkülEinführung und Anwendungen

Leichter Einstieg für Anwender in die Welt der stochastischen Integrale.

2006. VIII, 247 S. (Springer-Lehrbuch Masterclass) Brosch.ISBN 978-3-540-25392-1

List price7 € 32,66 | £24.507 * € (D) 34,95 | € (A) 35,93 | € (A) | sFr 47,00

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German Titles Yellow Sale 2011

M. Denker, Universität Göttingen

Einführung in die Analysis dynamischer SystemeEin erprobtes Lehrbuch, das auch als Grundlage für weitere Spezialisierung dient. Komprimierte Darstellung der wesentlichen Grundlagen der Theorie. 80 Beispiele und 50 Graphiken zur Veranschaulichung der Begriffe. Eine Einfüh-rung, die innovative Anregungen für Forscher einschließt.

2005. X, 285 S. 2 Abb. in Farbe. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-20713-9

List price7 € 46,68 | £42.997 * € (D) 49,95 | € (A) 51,35 | € (A) | sFr 67,00

Sale price7 € 23,32 | £20.997 * € (D) 24,95 | € (A) 25,65 | sFr 33,50

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G. Farin, Arizona State University, Tempe, AZ, USA; D. Hansford, The University of New England, Armidale, NSW, Australia

Lineare Algebra: Ein geometrischer Zugang

Übersetzt aus dem Englischen von G. Brunnett, TU Chemnitz

Geometriebuch mit Praxisausrichtung. Autor Farin mit Industrieerfahrung bei Daimler-Benz

2003. XIV, 322 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-41854-2

List price7 € 30,79 | £27.997 * € (D) 32,95 | € (A) 33,87 | € (A) | sFr 44,50

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W. Forst, Universität Ulm; D. Hoffmann, Universität Konstanz

Gewöhnliche DifferentialgleichungenTheorie und Praxis - vertieft und visualisiert mit Maple®

Brückenschlag von der Theorie zur Computer-anwendung, speziell zu MAPLE. Vermittlung und Umsetzung von Ideen mittels eines Computeralgebrasystems. Viele detaillierte Abbildungen und durchgerechnete Beispiele und ausgefeilte Maple-Arbeitsblätter. Herstel-lung des Bezugs zu wichtigen Anwendungen in den Bereichen Mathematik, Physik, Wirtschafts- und IngenieurwissenschaftenAuch für Bachelor und Masterstudiengänge.

2005. XV, 389 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-22226-2

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M. Grötschel, ZIB Berlin; K. Lucas, V. Mehrmann, TU Berlin (Hrsg.)

Produktionsfaktor Mathematik

2009. X, 480 S. (acatech DISKUTIERT) Brosch.ISBN 978-3-540-89434-6

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O. Häggström, Chalmers University of Technology, Göteborg, Schweden

Streifzüge durch die WahrscheinlichkeitstheorieÜbersetzt von A. Ring, C. Ring

Brillante Einführung in die Stochastik. Interes- sante Themen statt Formalismen. Vergleichbar mit Jänich: Topologie.

2006. XII, 267 S. 38 Abb. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-23050-2

List price7 € 30,79 | £27.997 * € (D) 32,95 | € (A) 33,87 | € (A) | sFr 44,50

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S. Hildebrandt, Universität Bonn

Analysis 2Klarer, übersichtlich aufgebauter Leitfaden. Mit ausführlichen Beweisen und Erläuterungen. Zahlreiche Beispiele, interessante Übungsauf-gaben. Ausführlicher Index. Gut zum Selbst-studium geeignet.

1. Aufl. 2003. Korr. Nachdruck 2003. X, 514 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-43970-7

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Yellow Sale 2011 German Titles

J. C. Jantzen, Universität Aarhus, Dänemark; J. Schwermer, Universität Wien

AlgebraDer ideale Begleiter in die Vorlesung. Kom-pakte und zeitgemäße Darstellung. Klare Didaktik. Geeignet zum Selbststudium

2006. IV, 396 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-21380-2

List price7 € 25,19 | £22.997 * € (D) 26,95 | € (A) 27,71 | € (A) | sFr 36,50

Sale price7 € 13,97 | £12.997 * € (D) 14,95 | € (A) 15,37 | sFr 20,50

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D. Jungnickel, Universität Augsburg

OptimierungsmethodenEine Einführung

Anschaulicher Ansatz: Gemeinsame Behand-lung von diskreten und kontinuierlichen Methoden. Leichter Einstieg für Studenten. Aktueller Überblick zu Detailfragen.

2. Aufl. 2008. XIV, 277 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-76789-3

List price7 € 30,79 | £27.997 * € (D) 32,95 | € (A) 33,87 | € (A) | sFr 44,50

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A. Klein, Universität Gent

Visuelle KryptographieMit Erfindung der Schrift entstand gleichzeitig der Bedarf, Geschriebenes vor unbefugten Lesern zu verbergen. Als moderne Wissenschaft ist die Kryptographie jedoch noch sehr jung. 1994 erfanden Naor und Shamir folgendes Verfahren der visuellen Kryptographie…

2007. X, 167 S. 21 Abb. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-72361-5

List price7 € 18,64 | £16.997 * € (D) 19,95 | € (A) 20,50 | € (A) | sFr 27,00

Sale price7 € 9,30 | £8.997 * € (D) 9,95 | € (A) 10,23 | sFr 13,50

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H. Koch, Humboldt-Universität zu Berlin

Einführung in die MathematikHintergründe der Schulmathematik

Umfassende Einfürung in die Hintergründe der Schulmathematik. Wichtige Begriffe und Sätze behutsam vorbereitet und gut motiviert. Neuauflage mit ausführlichen Lösungen zu den Übungsaufgaben

2. korr. u. erw. Aufl. 2004. X, 406 S. (Springer- Lehrbuch) Brosch.ISBN 978-3-540-20391-9

List price7 € 37,34 | £33.997 * € (D) 39,95 | € (A) 41,07 | € (A) | sFr 58,00

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M. Koecher

Lineare Algebra und analytische GeometrieNeuauflage überarbeitet, aktualisiert und ergänzt. Neue Abschnitte zu Orthonormalbasen und dem Spektralsatz für selbstadjungierte Endomorphismen. Neue Übungsaufgaben. Ein Buch, das sich durch klare, fundierte Darstel-lung auszeichnet.

4., erg. u. aktualisierte Aufl. 1997. Korr. Nachdruck 1997. XIV, 292 S. 35 Abb. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-62903-0

List price7 € 27,99 | £25.997 * € (D) 29,95 | € (A) 30,79 | € (A) | sFr 43,50

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J. Kremer, Fachhochschule Koblenz

Einführung in die Diskrete FinanzmathematikDie wichtigsten Grundlagen der modernen Finanzmathematik. Leicht einsetzbare Algorithmen zu allen Bewertungsverfahren-Viele Beispiele, Aufgaben mit Lösungen sowie ein Kapitel mit mathematischen Grundlagen-Geeignet zum Selbststudium

2006. XVI, 500 S. 37 Abb. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-25394-5

List price7 € 27,99 | £22.997 * € (D) 29,95 | € (A) 30,79 | € (A) | sFr 40,50

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German Titles Yellow Sale 2011

A. Leutbecher, Technische Universität München

ZahlentheorieEine Einführung in die Algebra

Auf der Grundlage der Mathematikkenntnisse des ersten Studienjahres bietet der Autor eine Einführung in die Zahlentheorie mit Schwer-punkt auf der elementaren und algebraischen Zahlentheorie. Das Buch wendet sich auch an Nichtspezialisten, denen es über die Zahlen frühzeitig den Weg in die Algebra öffnet. Angestrebte Ziele sind: Der Satz von Kronecker-Weber zur Krönung der Galois-Theorie, der Minkowskische Gitterpunktsatz, der Dirich-letsche Primzahlsatz und die Bewertungstheorie der Körper.

1996. XII, 354 S. 9 Abb. Mit 1 Falttafel. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-58791-0

List price7 € 27,99 | £21.007 * € (D) 29,95 | € (A) 30,79 | € (A) | sFr 40,50

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L. Lovász, Microsoft Research, Redmond, WA, USA; J. Pelikan, K. Vesztergombi, Loránd Eötvös University, Budapest, Hungary

Diskrete MathematikÜbersetzt aus dem Englischen von: S. Giese

Einführendes, sehr verständliches Lehrbuch einer Gruppe von Spitzenautoren.

2005. X, 362 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-20653-8

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D. Meintrup, S. Schäffler, Universität der Bundeswehr München, Neubiberg

StochastikTheorie und Anwendungen

Fundierte und anwendungsbezogene Einfüh-rung in die Wahrscheinlichkeitstheorie und Statistik. Ob digitale Nachrichtenübertragung, Schaltkreissimulation, Verfahrenstechnik oder Financial Engineering - die meisten modernen Verfahren in der Technik und Informatik beruhen auf stochastischen Prinzipien. Alle Resultate sind in diesem Buch ausführlich motiviert und exakt bewiesen. Hervorragend geeignet für Selbststudium und Vorlesungs-begleitung.

2005. XIV, 609 S. (Statistik und ihre Anwendungen) Brosch.ISBN 978-3-540-21676-6

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A. Quarteroni, Ecole Polytechnique Fédérale de Lausanne, Switzerland; F. Saleri, Politecnico di Milano, Italy

Wissenschaftliches Rechnen mit MATLABÜbersetzt aus dem Italienischen von K. Sapelza

Leicht verständliche Einführung ins wissen-schaftliche Rechnen. Ideal für die derzeit überall entstehenden Computational Science and Engineering (CSE)-Kurse. Besonders geeignet für Physiker, Chemiker, Ingenieure und andere Naturwissenschaftler, die ihr Wissen über numerische Methoden ausbauen wollen.

2006. X, 269 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-25005-0

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R. Remmert, Universität Münster; G. Schumacher, Philipps-Universität Marburg

Funktionentheorie 2Grundwissen aktuell, verständlich und nachvollziehbar. Viele Beispiele, Übungsauf-gaben und interessante historische Bemerkungen. Neuauflage mit dem zweitgen-annten Autor kritisch durchgesehen, ergänzt und verbessert.

3., neu bearb. Aufl. 2007. XVIII, 383 S. 19 Abb. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-40432-3

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M. Ruzicka, Universität Freiburg

Nichtlineare FunktionalanalysisEine Einführung

In sich geschlossene Darstellung, die Theorie und Anwendung verbindet. Einführung für Studierende ab dem 6. Semester. Umfasst den Lehrstoff für ein Semester. Viele Anwendungs-beispiele.

2004. XII, 208 S. 10 Abb. (Springer-Lehrbuch Master-class) Brosch.ISBN 978-3-540-20066-6

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Sales prices are valid until July 31st, 2011. This offer is not valid in North and South America.

Yellow Sale 2011 German Titles

A. Schmidt, Universität Regensburg

Einführung in die algebraische ZahlentheorieEinleuchtend, verständlich: diese Einführung in die Grundgedanken der modernen alge-braischen Zahlentheorie, einer der traditions-reichsten und besonders aktuellen Grund-disziplinen der Mathematik. Konkrete Fragestellungen führen zum Herz der modernen Theorie...

2007. XII, 215 S. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-45973-6

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J. Stoer, Universität Würzburg; R. Bulirsch, Technische Universität München

Numerische Mathematik 2Eine Einführung - unter Berücksichtigung von Vorlesungen von F.L.Bauer

Band 2 des Klassikers zur Numerischen Mathematik komplett überarbeitetUmfassender, topaktueller ÜberblickPraxisbezogen mit zahlreichen Beispielen

5. Aufl. 2005. X, 394 S. 28 Abb. (Springer-Lehrbuch) Brosch.ISBN 978-3-540-23777-8

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9<HTOFPA=cdhhhi>

K. Waldmann, U. M. Stocker, Universität Karlsruhe

Stochastische ModelleEine anwendungsorientierte Einführung

Erstes deutschsprachiges Buch zum Thema.Umfassende Berüksichtigung der Markov-Ketten. Ausfürliche Beispiele, Übungen und Fallstudien.

2004. VIII, 188 S. (EMIL@A-stat) Brosch.ISBN 978-3-540-03241-0

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