World ScientificConnecting Great Minds

MATHEMATICS2019

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Mathematics 2019HighlightsHighlightsHighlights page 6 page 10 page 11

page 23

page 24 page 24

Yuefan Deng (Stony Brook University, USA)

Jytte Brender McNair (Aalborg University, Denmark), Lynnclaire

Dennis (The Mereon Legacy CIC, UK) & Louis H Kauffman (University of

Illinois at Chicago, USA)

Mo-Lin Ge (Chern Institute of Mathematics, China), Antti J Niemi (Stockholm University & Uppsala University, Sweden), Kok Khoo Phua (NTU, Singapore), Leon A Takhtajan (Stony Brook University, USA & Euler International

Mathematical Institute, Russia)

Michela Petrini (University Pierre and Marie Curie, France), Gianfranco Pradisi

(University of Rome Tor Vergata, Italy), Alberto Zaffaroni (University of Milano-

Bicocca, Italy)

Matilde Marcolli (California Institute of Technology, USA & Perimeter Institute for Theoretical Physics & University of

Toronto, Canada)

Edward L Keenan (University of California, Los Angeles, USA)

page 28

Ingram Olkin (Stanford), Leon J Gleser (University of Pittsburgh,

USA) & Cyrus Derman (Columbia University, USA)

Ilan Garibi, David Goodman & Yossi Elran

page 31

page 34

Nitsa Movshovitz-Hadar (Technion – Israel Institute of Technology, Israel)

page 32 page 35

Niall Adams & Edward Cohen (Imperial College London, UK)

Greg N Frederickson (Purdue University, USA)

page 21

Ioannis Farmakis & Martin Moskowitz (City University of New York, USA)

page 12

Julien Clinton Sprott (University of Wisconsin-Madison, USA)

page 20

Yongmiao Hong (Cornell University, USA)

page 14

Niels Jacob & Kristian P Evans (Swansea University, UK)

Boyan Sirakov (Pontifical Catholic University of Rio de Janeiro, Brazil), Paulo Ney de Souza (UC Berkeley),

MarceloViana (IMPA, Rio de Janeiro, Brazil)

page 38

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c o n t e n t s

Mat

hem

atic

s ALGEBRA & RELATED TOPICS ..........................4

COMPUTER MATHEMATICS & SCIENCE ............7

DIFFERENTIAL & INTEGRAL EQUATIONS ..........8

GEOMETRY & TOPOLOGY ................................11

MATHEMATICAL ANALYSIS ...............................14

MATHEMATICAL BIOLOGY ...............................17

MATHEMATICAL COMPUTATION

& MODELING .....................................................18

MATHEMATICAL FINANCE

& ECONOMICS ...................................................20

MATHEMATICAL LOGIC

& FOUNDATIONS ...............................................21

MATHEMATICAL PHYSICS

& RELATED TOPICS ............................................22

MATHEMATICS EDUCATION .............................27

NUMERICAL ANALYSIS

& APPROXIMATION ...........................................30

OPTIMIZATION & CONTROL .............................30

PROBABILITY & STATISTICS .............................31

POPULAR & RECREATIONAL MATHEMATICS ...34

PROCEEDINGS ...................................................37

JOURNALS .........................................................39

TITLE INDEX ......................................................44

AUTHOR INDEX ................................................45

About World Scientific PublishingWorld Scientific Publishing is a leading independent publisher of books and journals for the scholarly, research, professional and educational communities. The company publishes about 600 books annually and about 135 journals in various fields. World Scientific collaborates with prestigious organisations like the Nobel Foundation, US National Academies Press, amongst others, to bring high quality academic and professional content to researchers and academics worldwide. To find out more about World Scientific, please visit www.worldscientific.com.

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4

Mathematics 2019

Principles and Techniques in CombinatoricsSolutions Manualby Mingyan, Simon Lin (University of Illinois at Urbana-Champaign, USA), Kean Pew Foo

The solutions manual provides comprehensive yet elementary solutions to each of the 489 problems that appeared in its bestselling parent textbook. The solutions to each problem are written from a first principles approach, which would have further augment the understanding of the important and recurring concepts in each chapter. Moreover, the solutions are written in a relatively self-contained manner, with very little undergraduate mathematics assumed.

Readership: College and undergraduate students.

330pp Feb 2019978-981-3238-84-8(pbk) US$38 £33

Linear Algebra and its Applicationsby Tzuong-Tsieng Moh (Purdue University, USA) 

From Tzuong-Tsieng Moh, a long-time expert in algebra, comes a new book for students to better understand linear algebra. Writing from an experienced standpoint, Moh touches on the many facets surrounding linear algebra, including but not limited to, echelon forms, matrix algebra, linear transformations, determinants, dual space, inner products, the Gram–Schmidt Theorem, Hilbert space, and more. It is ideal for both newcomers and seasoned readers who want to attain a deeper understanding on both the basics and advanced topics of linear algebra and its vast applications.

Readership: Graduate students and researchers interested in the basic and advanced topics of linear algebra and its applications.

274pp May 2019978-981-3235-42-7 US$98 £86

Weight Representationsby Dimitar Grantcharov (University of Texas at Arlington, USA), Vera Serganova (UC Berkeley)

Weight representations are representations that include many important examples studied by both mathematicians and physicists. Using a combination of algebraic, geometric, and combinatorial methods, description of various classes (simple and indecomposable) of representations is provided in the book.

Readership: Advanced graduate students and junior researchers in representation theory of Lie algebras.

200pp Dec 2018978-981-3271-45-6 US$98 £85

Gröbner – Shirshov BasesNormal Forms, Combinatorial and Decision Problems in Algebraby Leonid Bokut (Sobolev Institute of Mathematics, Russia), Yuqun Chen (South China Normal University, China), Kyriakos Kalorkoti (Informatics Forum, Scotland) & Pavel Kolesnikov (Sobolev Institute of Mathematics, Russia)

Key Features:

• First book that describes Gröbner – Shirshov

bases method for Lie algebra in full details

• First book that covers all main results for classical decision problems for groups using Gröbner – Shirshov bases method and the modular machines

• First book that covers connections of Gröbner – Shirshov bases method with homological algebra

Readership: Researchers in algebra and combinatorics.

450pp Sep 2018978-981-4619-48-6 US$162 £134

Numerical and Symbolic Computations of Generalized Inversesby Yimin Wei (Fudan University, China), Predrag Stanimirovi & Marko Petkovi (University of Nis, Serbia)

We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians. Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.

Readership: Graduate students and researchers.

472pp Aug 2018978-981-3238-66-4 US$158 £139

ALGEBRA & RELATED TOPICS

Board GamesThroughout the History and Multidimensional Spacesby Jorma Kyppö (University of Jyväskylä, Finland)

In this richly illustrated book, the author explores the history of board games dating back to Ancient Egypt, Mesopotamia, India and China. He provides a description of the evolution and various interpretations of chess. Furthermore, the book offers the study of the old Celtic and Viking board games and the old Hawaiian board game Konane, as well as a new hypothesis about the interpretation of the famous Cretan Phaistos Disk. Descriptions of several chess variations, including some highlights of the game theory and tiling in different dimensions, are followed by a multidimensional symmetrical n-person strategy game model, based on chess. Final chapter offers the new generalizations of the Euler-Poincare's Characteristic, Pi and Fibonacci sequence.

Readership: Researchers in combinatorics, complex manifolds and topology, game theory.

250pp Aug 2018978-981-3233-52-2 US$98 £86

Solution Manual of Bestselling Textbook

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5

WORLD SCIENTIFIC

Galois Theory and ApplicationsSolved Exercises and Problemsby Mohamed Ayad (Universitédu Littoral, Calais, France)

The book provides exercises and problems with solutions in Galois Theory and its applications, which include wfinite fields, permutation polynomials, derivations and algebraic number theory. It will be useful to students who want to learn the material around the arithmetic of polynomials and field extensions, teachers who want to work on problems with their students, and researchers who require a reference book. The book contains some useful results generally known by specialists, but for which a detailed proof is not always in the literature.

Readership: Undergraduate and graduate students in Galois group theory.

452pp Jun 2018978-981-3238-30-5 US$118 £104

Infinite Group TheoryFrom the Past to the Futureedited by Paul Baginski, Benjamin Fine (Fairfield University, USA) & Anthony M Gaglione (United States Naval Academy, USA)

The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of wpapers detailing areas of current interest.

Readership: Graduate students and researchers in group theory.

260pp Feb 2018978-981-3204-04-1 US$98 £81

Essential Textbooks in Mathematics Introduction to Number Theoryby Richard Michael Hill (University College London, UK)

This book is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions. Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations.

Readership: Students and educators in a university course on number theory.

264pp Feb 2018978-1-78634-471-7 US$108 £95

Number Theory and Its Applications IIby Hailong Li (Weinan Normal University, China), Fuhuo Li (Sanmenxia SuDa Transportation Energy Saving Technology Co., Ltd., China), Nianliang Wang (Shangluo University, China) & Shigeru Kanemitsu (Kyushu Institute of Technology, Japan)

With plenty of practical examples and worked-out exercises, and the scope ranging from these basic subjects made applicable to number-theoretic settings to advanced number theory, this book can then be read without tears. It will be of immense help to the reader to acquire basic sound skills in number theory and its applications. The raison d'être is that it is extremely reader-friendly while keeping the rigor of serious mathematics and in-depth analysis of practical applications to various subjects including control theory and pseudo-random number generation. One of the main features is that it gives several different approaches to the same topic, helping the reader to gain deeper insight and comprehension.

Readership: Advanced undergraduate students, graduate students and researchers interested in number theory.

288pp Jan 2018978-981-3231-59-7 US$98 £86

Notes on the Binomial TransformTheory and Table with Appendix on Stirling Transformby Khristo N Boyadzhiev (Ohio Northern University, USA)

This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series transformations. The binomial transform leads to various combinatorial and analytical identities involving binomial coefficients. In particular, we present here new binomial identities for Bernoulli, Fibonacci, and harmonic numbers. Many interesting identities can be written as binomial transforms and vice versa.

Readership: Graduate and researchers in the areas of number theory, discrete mathematics, combinatorics, statistics working with applications using the binomial transform.

208pp Jun 2018978-981-3234-97-0 US$88 £75

Category Theory and ApplicationsA Textbook for Beginnersby Marco Grandis (Universitàdi Genova, Italy)

This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers its basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications. Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications and a choice of more advanced ones. References are given for applications in many other fields.

Readership: Graduate students and researchers of mathematics, computer science, physics.

304pp Mar 2018978-981-3231-06-1 US$98 £86

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Mathematics 2019

Topics and Methods in q-Seriesby James Mc Laughlin (West Chester University, USA)

“… in addition to presenting such a wonderful sweep of deep and beautiful material, is very strong pedagogically. It’s very well written, in an accessible and clear style, the material dealt with is effectively motivated and discussed in a sound and rigorous manner, all the proofs are there, and McLaughlin gives the reader a large number of exercises to do along the way, as he travels these paths. Again, the expressions and formulas that pepper the pages of this book are at first sight daunting, but they do yield to persistent pressure, as per Andrews’ observation cited above. The language of q-series makes for some beautiful poetry.” Mathematical Association of America Reviews

Readership: Undergraduate and graduate students.

400pp Nov 2017978-981-3224-17-9 US$148 £130978-981-3223-36-3(pbk) US$88 £77

Numeral Systems with Irrational Bases for Mission-Critical Applicationsby Alexey Stakhov (International Club of the Golden Section, Canada)

This volume sets forth new informational and arithmetical fundamentals of computer and measurement systems based on Fibonacci p-codes and codes of the golden p-proportions, and also on Bergman's system and "golden" ternary mirror-symmetrical arithmetic. The book presents some new historical hypotheses concerning the origin of the Egyptian calendar and the Babylonian numeral system with base 60 (dodecahedral hypothesis), as well as about the origin of the Mayan's calendar and their numeral system with base 20 (icosahedral hypothesis). The book is intended for the college and university level. The book will also be of interest to all researchers, who use the golden ratio and Fibonacci numbers in their subject areas, and to all readers who are interested to the history of mathematics.

Readership: Researchers in mathematics and computer science.

284pp Dec 2017978-981-3228-61-0 US$118 £104

Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Lociby Kai-Wen Lan (University of Minnesota, Twin Cities, USA)

This book is a comprehensive treatise on the partial toroidal and minimal compactifications of the ordinary loci of PEL-type Shimura varieties and Kuga families, and on the canonical and subcanonical extensions of automorphic bundles. The results in this book serve as the logical foundation of several recent developments in the theory of p-adic automorphic forms and on the construction of Galois representations without any polarizability conditions. This book is important for those who need to understand the above-mentioned recent works, and is written with such users of the theory in mind, providing plenty of explanations and background materials, which should be helpful for people working in similar areas.

Readership: Graduate students and researchers.

580pp Sep 2017978-981-3207-32-5 US$168 £148

A Graduate Course in Algebra (In 2 Volumes)by Ioannis Farmakis & Martin Moskowitz (City University of New York, USA)

"The authors have taken pains to make the book readable and student friendly, with clear writing and good examples. An unusual and very nice feature of the book is the breadth of topics covered, and the inclusion of interesting side issues that illustrate the power and ubiquity of algebra ... The combination of clear writing and interesting material makes for a very useful and valuable text." Mark Hunacek (Iowa State University, Ames, IA)

Readership: Graduate students and researchers in Algebra.

872pp Aug 2017978-981-3142-60-2 US$178 £148978-981-3142-61-9(pbk) US$98 £81

Advanced Textbooks in Mathematics Periods and Special Functions in Transcendenceby Paula Tretkoff (Texas A& M University, USA & Université de Lille 1, France)

This book gives an introduction to some central results in transcendental number theory with application to periods and special values of modular and hypergeometric functions. It also includes related results on Calabi – Yau manifolds. Most of the material is based on the author's own research and appears for the first time in book form. It is presented with minimal of technical language and no background in number theory is needed. In addition, except the last chapter, all chapters include exercises suitable for graduate students.

Readership: Graduate students, researchers.

228pp Jul 2017978-1-78634-294-2 US$98 £81

A Course on Abstract Algebra (2nd Edition)by Minking Eie & Shou-Te Chang (National Chung Cheng University, Taiwan)

“The text is greatly enriched by many varied and wonderful examples, all carefully worked out, and revealing some of the more subtle points of the theories. This is the text's greatest asset ... the authors have succeeded in writing a solid and complete text with many rich and varied examples that introduces the basics of modern algebra to the undergraduate audience.” Mathematical Reviews

Three new chapters to this edition: group actions, introduction to module theory, and free modules.

Readership: Advanced undergraduates and academics.

432pp Nov 2017978-981-3229-62-4 US$88 £77

Bestselling Reference

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WORLD SCIENTIFIC

Lectures on Lie Groups (2nd Edition)by Wu-Yi Hsiang (UC Berkeley & Hong Kong University of Science and Technology)

This book is a concise introduction as well as a comprehensive "tour of revisiting" the remarkable achievements of S Lie, W Killing, É Cartan and H Weyl. We begin our revisiting with the compact theory which is much simpler than that of the general semi-simple Lie theory; mainly due to the well fittings between the Frobenius – Schur character theory and the maximal tori theorem of É Cartan together with Weyl's reduction. It is a wonderful reality of the Lie theory that the clear-cut orbital geometry of the adjoint action of compact Lie groups on themselves is not only the key to understand the compact theory, but it actually already constitutes the central core of the entire semi-simple theory, as well as that of the symmetric spaces. This is the main reason that makes the succeeding generalizations to the semi-simple Lie theory, and then further to the Cartan theory on Lie groups and symmetric spaces, conceptually quite natural, and technically rather straightforward.

Readership: Advanced undergraduate and graduate students, and researchers in group theory.

160pp Jun 2017978-981-4740-70-8 US$68 £56978-981-4740-71-5(pbk) US$38 £32

Crystal BasesRepresentations and Combinatoricsby Daniel Bump (Stanford), Anne Schilling (UC Davis)

"The introduction to crystal bases given in this book is accessible to graduate students and researchers. Its combinatorial approach is reader-friendly and invites the reader to get involved, either working on the exercises listed at the end of each chapter or by playing with the computational implementation on freely-available software, Sage in this case, where the authors have many built-in accessible examples and some algorithms for specific crystal bases." MAA Reviews

Readership: Graduate students and researchers interested in understanding from a viewpoint of combinatorics on crystal base theory.

292pp Mar 2017978-981-4733-43-4 US$118 £98978-981-4733-44-1(pbk) US$58 £48

COMPUTER MATHEMATICS & SCIENCE

A Pioneer in Complexity ScienceSelected Papers of John H Hollandedited by Jan Wouter Vasbinder & Helena Hong Gao (NTU, Singapore)

With his work on computer logic, John H Holland became one of the most important founders of modern computer science. People who knew John H Holland were all amazed and deeply influenced by his incredibly imaginative and creative mind. This selection of his papers in the field of computer logic entails many of his explored and unexplored ideas. It should be of great interest to scientists of all ages, and of great value to the current research not only in computer science but in many other fields as well.

Readership: Physicists, mathematicians, computer scientists, researchers and theorists interested in multi-disciplinary research.

260pp Jan 2018978-981-3234-76-5 US$118 £104

New Horizons for Second-Order Cyberneticsedited by Alexander Riegler (Vrije Universiteit Brussel, Belgium), Karl H Müller (International Academy for Systems and Cybernetic Sciences, Austria) & Stuart A Umpleby (George Washington University, USA)

This book reviews the current state of second-order cybernetics and investigates which new research methods it can offer to tackle wicked problems in science and in society. The contributions explore its application to both scientific fields (such as mathematics, psychology and consciousness research) and non-scientific ones (such as design theory and theater science). It uses a pluralistic, multifaceted approach to discuss these applications. Each main article is accompanied by commentaries and author responses, which together allow readers to discover further perspectives than in the original article alone.

Readership: Researchers in mathematical logic, philosophy, psychology and cybernetics.

404pp Nov 2017978-981-3226-25-8 US$168 £148

Information TheoryPart I: An Introduction to the Fundamental Conceptsby Arieh Ben-Naim (The Hebrew University of Jerusalem, Israel)

This book presents the fundamental concepts of Information theory in a friendly-simple language and is devoid of all kinds of fancy and pompous statements. It is unique in its presentation of Shannon's measure of information, and the clear distinction between this concept and the thermodynamic entropy. Ample examples are provided which help the reader in understanding the different concepts discussed. The emphasis is on the concepts and their meaning rather on the mathematical details of the theory.

Readership: Students and researchers.

368pp Aug 2017978-981-3208-82-7 US$78 £65978-981-3208-83-4(pbk) US$34 £28

NOTABLE BACKLIST

The Golden Ratio and Fibonacci NumbersRichard A Dunlap (Dalhousie University, Canada)

Principles and Techniques in CombinatoricsChen Chuan-Chong & Koh Khee-Meng (NUS, Singapore)

A First Look at Graph TheoryJohn Clark & Derek Allan Holton (University of Otago, New Zealand)

Linear Algebra: Pure & AppliedEdgar G Goodaire (Memorial University, Canada)

Analytic Number Theory Paul T Bateman & Harold G Diamond (University of Illinois at Urbana-Champaign)

A Walk Through Combinatorics (4th Edition)Miklós Bóna (University of Florida, USA)

NOTABLE BACKLIST

Examples in Markov Decision ProcessesA B Piunovskiy (The University of Liverpool, UK)

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Mathematics 2019

Beyond the TriangleBrownian Motion, Ito Calculus, and Fokker – Planck Equation — Fractional Generalizationsby Sabir Umarov (University of New Haven, USA), Marjorie Hahn (Tufts University, USA) & Kei Kobayashi (Fordham University, USA)

The book is devoted to the fundamental relationship between a stochastic process, stochastic differential equations driven by that process and their associated Fokker – Planck – Kolmogorov equations. It discusses wide fractional generalizations of this fundamental triple relationship, where the driving process represents a time-changed stochastic process; the Fokker – Planck – Kolmogorov equation involves time-fractional order derivatives and spatial pseudo-differential operators; and the associated stochastic differential equation describes the stochastic behavior of the solution process. There are examples and important applications to various scientific, engineering, and economics problems.

Readership: Graduate students and researchers in science, engineering, economics.

192pp Apr 2018978-981-3230-91-0 US$98 £86

Ordinary Differential Equations and Boundary Value Problems by  John R  Graef  (University of Tennessee at Chattanooga, USA), Johnny Henderson (Baylor University, USA), Lingju Kong (University of Tennessee at Chattanooga, USA), Xueyan Sherry Liu (University of New Orleans, USA) 

Volume I: Advanced Ordinary Differential Equations

This is a captivating introduction to ordinary differential equations (ODEs) with a number of non-routine exercises. It begins with a study of initial value problems for systems of differential equations. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. Linear systems of differential equations and stability theory of first order and vector linear systems are treated in detail. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples. The book concludes with a chapter on perturbed systems of ODEs.

Volume II: Boundary Value Problems

The authors give a systematic introduction to boundary value problems (BVPs) for ordinary differential equations. Starting with the basics of boundary value problems for ordinary differential equations, linear equations and the construction of Green's functions are presented clearly. A discussion of the important question of the existence of solutions to both linear and nonlinear problems plays a central role in this volume and this includes solution matching and the comparison of eigenvalues. The important and very active research area on existence and multiplicity of positive solutions is treated in detail. The last chapter is devoted to nodal solutions for BVPs with separated boundary conditions as well as for non-local problems.

Readership: Graduate students and researchers interested in ordinary differential equations.

Volume I 176pp Apr 2018978-981-3236-45-5 US$88 £77

Volume II342pp Jan 2019978-981-3274-02-0 US$98 £85

New Edition of Bestseller Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functionsby Lei Yang (Peking University, China)

Key Features:

• First book, whose contents can compare with the contents in Klein's icosahedral book

• Emphasizes the fundamental unity of mathematics (i.e., geometry, algebra, analysis and arithmetic are interacted with each other by the Hessian group)

• Gives a higher dimensional analogue of Jacobi's celebrated work "Fundamenta nova theoriae functionum" on the transformation property of elliptic integrals. Our book also provides a higher dimensional analogue of Dedekind's celebrated η-functions and Schwarz's celebrated triangular s-functions

Readership: Academics and researchers.

316pp May 2018978-981-3209-47-3 US$148 £1236

Series on Analysis, Applications and Computation Nonlinear WavesA Geometrical Approachby Petar Popivanov & Angela Slavova (Bulgarian Academy of Sciences, Bulgaria)

This volume provides an in-depth treatment of several equations and systems of mathematical physics, describing the propagation and interaction of nonlinear waves as different modifications. Readers can easily be acquainted here with different solutions of some nonlinear PDEs written in a sharp form (waves), with their geometrical visualization and their interpretation. In many cases, explicit solutions (waves) having specific physical interpretation are found and their interactions are studied and geometrically visualized. Classical methods coming from the theory of ordinary differential equations, the dressing method, Hirota's direct method and the method of the simplest equation are introduced and applied.

Readership: University and graduate students, mathematicians, physicists, engineers.

208pp Jul 2019978-981-3271-60-9 US$88 £75

An Operator Theory Problem Bookby Mohammed Hichem Mortad (University of Oran 1, Algeria)

The first part of this book contains essential background on all of the covered topics with the sections: True or False Questions, Exercises, Tests and More Exercises. In the second part, readers may find answers and detailed solutions to the True or False Questions, Exercises and Tests. Another virtue of the book is the variety of the topics and the exercises and the way they are tackled. In many cases, the approaches are different from what is known in the literature. Also, some very recent results from research papers are included.

Readership: Undergraduate students, lecturers and tutors in operator theory and functional analysis.

600pp Sep 2018978-981-3236-25-7 US$98 £86

DIFFERENTIAL & INTEGRAL EQUATIONS

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WORLD SCIENTIFIC

An Introduction to Second Order Partial Differential EquationsClassical and Variational Solutionsby Doina Cioranescu (Université Pierre et Marie Curie (Paris 6), France), Patrizia Donato (Université de Rouen, France) & Marian P Roque (University of the Philippines Diliman, Philippines)

The book extensively introduces classical and variational partial differential equations (PDEs). The topics, even the most delicate, are presented in a detailed way. Part I gives an overview of classical PDEs, that is, equations which admit strong solutions, verifying the equations pointwise. Classical solutions of the Laplace, heat, and wave equations are provided. Part II deals with variational PDEs, where weak (variational) solutions are considered. They are defined by variational formulations of the equations, based on Sobolev spaces. A comprehensive and detailed presentation of these spaces is given. Examples of variational elliptic, parabolic, and hyperbolic problems with different boundary conditions are discussed.

Readership: Graduate and post-graduate students, researchers.

300pp Jan 2018978-981-3229-17-4 US$78 £69

Matrix Methods and Fractional Calculusby Arak M Mathai (McGill University, Canada), Hans J Haubold (UN Office for Outer Space Affairs, Vienna International Centre, Austria)

Fractional calculus in terms of mathematics and statistics and its applications to problems in natural sciences is NOT yet part of university teaching curricula. This book is one attempt to provide an approach to include topics of fractional calculus into university curricula. Additionally the material is useful for people who do research work in the areas of special functions, fractional calculus, applications of fractional calculus, and mathematical statistics.

Readership: Graduate students and researchers in all aspects of fractional calculus and its applications.

292pp Jan 2018978-981-3227-52-1 US$98 £86

A First Course in Partial Differential Equationsby J Robert Buchanan & Zhoude Shao (Millersville University, USA)

This textbook gives an introduction to Partial Differential Equations (PDEs), for any reader wishing to learn and understand the basic concepts, theory, and solution techniques of elementary PDEs. The only prerequisite is an undergraduate course in Ordinary Differential Equations. This work contains a comprehensive treatment of the standard second-order linear PDEs, the heat equation, wave equation, and Laplace's equation. First-order and some common nonlinear PDEs arising in the physical and life sciences, with their solutions, are also covered. All results have been rigorously justified or precise references to justifications in more advanced sources have been cited. Appendices providing a background in complex analysis and linear algebra are also included for readers with limited prior exposure to those subjects.

Readership: Mathematics, physical and life sciences, and engineering undergraduate students.

624pp Dec 2017978-981-3226-43-2 US$138 £121

Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes - Vol 1Frontiers in Orthogonal Polynomials and q-Seriesedited by M Zuhair Nashed & Xin Li (University of Central Florida, USA)

This volume aims to highlight trends and important directions of research in orthogonal polynomials, q-series, and related topics in number theory, combinatorics, approximation theory, mathematical physics, and computational and applied harmonic analysis. The editors has written a volume that would inspire young researchers and provide a wealth of information in an engaging format. Theoretical, combinatorial and computational/algorithmic aspects are considered, and each chapter contains many references on its topic, when appropriate.

Readership: Graduate students and researchers.

576pp Mar 2018978-981-3228-87-0 US$178 £157

Peking University Series in Mathematics - Vol 7Selected Papers of Weiyue Dingedited by You-De Wang (Chinese Academy of Sciences, China)

This collection covers all papers and partial talks given by Prof Weiyue Ding, who was a member of the Chinese Academy of Sciences. Prof Weiyue Ding devoted his academic career to the research in the field of ordinary differential equations and geometric analysis, e.g. Poincaré – Birkhoff fixed point theorems, blow-up analysis for heat flow of harmonic maps.

Readership: Researchers in partial differential equations and differential geometry.

632pp Feb 2018978-981-3220-87-4 US$158 £139

Trends in Abstract and Applied Analysis - Vol 6The Strong Nonlinear Limit-Point/Limit-Circle Problemby Miroslav Bartušek (Masaryk University, Czech Republic), John R Graef (University of Tennessee at Chattanooga, USA)

This monograph traces the development of what is known as the strong nonlinear limit-point and limit-circle properties of solutions. In addition to bringing together all such results into one place, some new directions that the study has taken as well as some open problems for future research are indicated. There is no other source of results on this problem except for the individual papers that appear in the literature. This work collects all that is known about this problem in one place. Directions for future research are indicated.

Readership: Graduate students and researchers of mathematics.

324pp Dec 2017978-981-3226-37-1 US$118 £104

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Mathematics 2019

Trends in Abstract and Applied Analysis - Vol 5Higher Order Boundary Value Problems on Unbounded DomainsTypes of Solutions, Functional Problems and Applicationsby Feliz Manuel Minhós (University of Évora, Portugal), Hugo Carrasco (Research Centre in Mathematics and Applications (CIMA), Portugal)

This volume provides a comprehensive overview on different types of higher order boundary value problems defined on the half-line or on the real line. It also includes classical and new methods and techniques to deal with the lack of compactness of the related operators. Each chapter contains applications to real phenomena, to classical equations or problems, with a common denominator: they are defined on unbounded intervals and the existing results in the literature are scarce or proven only numerically in discrete cases.

Readership: Graduate students and researchers interested in nonlinear analysis.

216pp Oct 2017978-981-3209-90-9 US$98 £81

Local and Global Aspects of Quasilinear Degenerate Elliptic EquationsQuasilinear Elliptic Singular Problemsby Laurent Véron (Université François Rabelais, France)

This book is about elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. It emphasizes on

• Existence of separable singular solutions (enables description of isolated singularities of general solutions)

• When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions. A priori estimates and Liouville type problems are analyzed.

• When equations are considered with a forcing term in class of measures, their study is strongly linked to properties of a class of potentials appearing in harmonic analysis and to their associated capacities.

Readership: Graduate students and researchers.

476pp Jul 2017978-981-4730-32-7 US$148 £123

Functional Equations and InequalitiesSolutions and Stability Resultsby John Michael Rassias (National and Kapodistrian University of Athens, Greece), E Thandapani (University of Madras, India), K Ravi (Sacred Heart College, India) & B V Senthil Kumar (C Abdul Hakeem College of Engineering & Technology, India)

This volume is written by authors in this field for the past 50 years. It contains basic notions, methods of solving, and growth of functional equations in the last 4 decades, and an extensive reference list on fundamental research papers that investigate stability results of different types of functional equations and inequalities. It starts from fundamental ideas to higher levels of results in recent research.

Readership: Advanced undergraduates, postgraduates and researchers.

396pp May 2017978-981-3147-60-7 US$118 £98978-981-3149-97-7(pbk) US$58 £48

Operator Functions and Operator Equationsby Michael I Gil' (Ben Gurion University of the Negev, Israel)

This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis.

Readership: Undergraduate and graduate students, and researchers.

260pp Nov 2017978-981-3221-26-0 US$98 £81

Lectures, Problems and Solutions for Ordinary Differential Equations (2nd Edition)by Yuefan Deng (Stony Brook University, USA)

This unique book on ordinary differential equations addresses practical issues of composing and solving differential equations by demonstrating the detailed solutions of more than 1, 000 examples. The initial draft was used to teach more than 10, 000 advanced undergraduate students in engineering, physics, economics, as well as applied mathematics. It is a good source for students to learn problem-solving skills and for educators to find problems for homework assignments and tests. The 2nd edition, with at least 100 more examples and five added subsections, has been restructured to flow more pedagogically.

Readership: Undergraduate students and entry level graduate students in science and engineering.

572pp Oct 2017978-981-3226-12-8 US$118 £104978-981-3226-13-5(pbk) US$58 £51

NOTABLE BACKLIST

Second Order Parabolic Differential EquationsG M Lieberman (Iowa State University)

Special FunctionsZ X Wang & D R Guo (Peking University)

New Edition of Bestseller

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WORLD SCIENTIFIC

Differential Formsby Victor Guillemin & Peter Haine (MIT)

There exist a number of excellent graduate level texts on the theory of differential forms and a handful of very good undergraduate texts on multi-variable calculus as well in which this subject is briefly introduced. However, this book covers an unfilled niche as an "intermediate level text" for first-year graduate students and for juniors and seniors in fast-paced undergraduate mathematics programs. In particular, the first three chapters provide a careful exposition of the theory of forms that touches on all the main topics in differential forms.

Readership: First-year graduate and advanced undergraduate students in math programs.

240pp May 2019978-981-3272-77-4 US$98 £85

Morse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundaryby Gabriel Katz (MIT)

Putting constraints on the nature of the interaction between nonsingular gradient-like fields and the boundary of a smooth compact manifold have profound implications for the topology of the manifold, and this book describes these implications. Along the way, this study extends into the spaces of flow trajectories, their complexity and intricate combinatorics. New invariants of gradient flows, as well as invariants of the underlying manifold are produced, based on the understanding of these structures (on the space of trajectories and on the flow-generated spines). The process leading to a discovery is equally if not more important than the discover itself and in this book, classical singularity theory guides our investigations, and algebraic topology provides the tools.

Readership: Graduate students and researchers specialized in geometric topology, singularity theory and dynamical systems.

600pp Mar 2019978-981-4368-75-9 US$174 £144

High Dimensional KnottingAwn Illustrated Guideby Dennis Roseman (University of Iowa, USA)

Focused on concrete examples and constructions and using extensive computer generated three-dimensional graphics, this book is a guide to methods and examples of higher dimensional knotting. It has modest mathematical requirements, has been written with non-specialists and contains considerable background information. Knotting whether fanciful or practical has been of interest to many — from sculptors to sailors and in more modern times to mathematicians, biologists and physicists. Knotting in 4-dimensional space involves surfaces — spheres, tori, Klein bottles and others while in five dimensions one looks primarily at similar tangling and self-tangling of three dimensional objects. Visualization and techniques for higher dimensions are discussed.

Readership: Graduate students, researchers, scientists and engineers.

500pp Feb 2019978-981-3237-39-1 US$178 £157

Fractalize That A Visual Essay on Statistical Geometryby John Shier 

The book describes a recently discovered random fractal space-filling algorithm beginning with tessellations and Sierpinski, illustrating the relationship to statistical geometry and bringing together all that is known about it to a wider audience of mathematicians and scientists. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm.

Readership: Students, mathematicians, physicists, professionals, and the general public who are interested in the fractal art of statistical geometry.

110pp Mar 2019978-981-3275-16-4 US$80 £70

Conformal Maps and Geometryby Dmitry Beliaev (Oxford) 

This textbook provides an accessible foundation of the theory of conformal maps and their connections with geometry. It offers a unique view of the field, as it is one of the first to discuss general theory of univalent maps at a graduate level, while introducing more complex theories of conformal invariants and extremal lengths. This book is an ideal resource for graduate courses in Complex Analysis or as an analytic prerequisite to study the theory of Schramm–Loewner Evolution.

Readership: Advanced undergraduate or graduate students in mathematics.

230pp Feb 2019978-1-78634-613-1 US$88 $75

Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications Elegant FractalsAutomated Generation of Computer Artby Julien Clinton Sprott (University of Wisconsin-Madison, USA)

VISUAL ELEGANCE - provides an automated method for producing interesting fractals with over 100 full-color examplesACCESSIBLE COMPUTATION - describes the mathematics behind creation of fractals"DO-IT YOURSELF TOO!" TECHNOLOGY ENGINE - provides a link to the software behind generation of countless additional examples

Readership: Student, professional and general public.

250pp Feb 2019978-981-3237-13-1 US$98 £86

Bestselling Author

GEOMETRY & TOPOLOGY

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Mathematics 2019

Series in Pure Mathematics - Vol 28The Geometry of Spherical Space Form Groups (2nd Edition)by Peter B Gilkey (University of Oregon, USA)

This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as exemplified by the Smith homomorphism. These are used to study the existence of metrics of positive scalar curvature on spin manifolds of dimension at least 5 whose fundamental group is a spherical space form group. This is a completely rewritten revision of the first edition with substantial amounts of new material applying the basic material of the book.

Readership: Graduate students and researchers.

508pp Mar 2018978-981-3220-78-2 US$148 £123

Zeta Functions of Reductive Groups and Their Zerosby Lin Weng (Kyushu University, Japan)

Key Features: • Genuine zeta functions for reductive groups

over number fields are introduced and studied systematically, based on (i) fine parabolic structures and Lie structures involved, (ii) a new stability theory for arithmetic principal torsors over number fields, and (iii) trace formula via a geometric understanding of Arthur's analytic truncations

• For the first time in history, we prove a weak Riemann hypothesis for zeta functions of reductive groups defined over number fields

• Not only the theory is explained, but the process of building the theory is elaborated in great detail

Readership: Graduate students and researchers.

556pp Apr 2018978-981-3231-52-8 US$168 £148

Series on Knots and Everything - Vol 62The Mereon MatrixEverything Connected through (K)nothingedited by Jytte Brender McNair (Aalborg University, Denmark), Lynnclaire Dennis (The Mereon Legacy CIC, UK) & Louis H Kauffman (University of Illinois at Chicago, USA)

In this richly illustrated book, the contributors describe the Mereon Matrix, its dynamic geometry and topology. Through the definition of eleven First Principles, it offers a new perspective on dynamic, whole and sustainable systems that may serve as a template information model. This template has been applied to a set of knowledge domains for verification purposes: pre-life-evolution, human molecular genetics and biological evolution, as well as one social application on classroom management. Care has been taken to use images and languaging that are understandable across domains, and connecting diverse disciplines.

Readership: Researchers in knot theory, geometry and systems theory.

904pp Jul 2018978-981-3233-55-3 US$198 £174

Geometry of Biharmonic MappingsDifferential Geometry of Variational Methodsby Hajime Urakawa (Tohoku University, Japan)

The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.New theory and complete theory are described in detail.

Readership: Researchers in global analysis, geometry, calculus of variations and partial differential equations.

300pp Oct 2018978-981-3236-39-4 US$98 £86

Nankai Tracts in Mathematics Minimal Submanifolds and Related Topics (2nd Edition)by Yuanlong Xin (Fudan University, China)

"This is an important book and is suitable for students who are familiar with the fundamentals of Riemannian geometry, as well as for specialists."

Zentralblatt MATH

This edition contains the author's recent work on the Lawson – Osserman's problem for higher codimension, and on Chern's problem for minimal hypersurfaces in the sphere. Both Chern's problem and Lawson – Osserman's problem are important problems in minimal surface theory which are still unsolved. In addition, some new techniques were developed to address those problems in detail.

Readership: Researchers and graduate students in differential geometry

380pp Oct 2018978-981-3236-05-9 US$128 £113

The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundlesedited by Richard Wentworth (University of Maryland, USA), Graeme Wilkin (NUS, Singapore)

In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. This book contains a number of lectures on recent topics of importance related to Higgs bundles. It is an accessible introduction to algebraic stacks and the stack of Higgs bundles.

Readership: Graduate students and researchers.

370pp Aug 2018978-981-3229-08-2 US$138 £121

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WORLD SCIENTIFIC

Combinatorial and Toric HomotopyIntroductory Lecturesedited by Alastair Darby (Fudan University, China), Jelena Grbi (University of Southampton, UK), Zhi Lü (Fudan University, China) & Jie Wu (NUS, Singapore)

This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. Contents include: Toric Homotopy Theory (Stephen Theriault); Fullerenes, Polytopes and Toric Topology (Victor M Buchstaber and Nikolay Yu Erokhovets); Around Braids (Vladimir Vershinin); Higher Limits, Homology Theories and fr-Codes (Sergei O Ivanov and Roman Mikhailov); Configuration Spaces and Robot Motion Planning Algorithms (Michael Farber); Cellular Stratified Spaces (Dai Tamaki)

Readership: Advanced undergraduate and graduate students, researchers.

448pp Dec 2017978-981-3226-56-2 US$168 £148

New Topological Invariants for Real- and Angle-Valued MapsAn Alternative to Morse – Novikov Theoryby Dan Burghelea (Ohio State University, USA)

Key Features: • The theory presented here is new; All needed

mathematics is sufficiently summarized • This theory is a refinement of “topological

persistence” which already had many applications in data analysis, so it will be no surprise that this refinement will be equally useful in applications

• Can be used in search for new topics of research in applied topology, and those who hope to use ideas of Morse – Novikov theory in applications and find new effective methods to calculate important homological invariants until now not easily accessible to computers

Readership: Graduate students and researchers in geometry, topology, computer scientists and data analysts.

260pp Oct 2017978-981-4618-24-3 US$78 £69

Differential Geometry of Curves and Surfacesby Masaaki Umehara & Kotaro Yamada (Tokyo Institute of Technology, Japan) & translated by Wayne Rossman (Kobe University, Japan)

"The book will serve as a very useful reference for a broad range of applied mathematicians, physicists, as well as theoretical geophysicists seeking a precise, systematic presentation of the differential geometry underlying much of modern theory. After reading the book the reader should have a good feeling for the material presented, provided that he has done all the exercises! For mathematically oriented readers, I recommend also the additional material." Pure and Applied Geophysics

Readership: Undergraduate and graduate students, and researchers.

328pp Jul 2017978-981-4740-23-4 US$88 £73978-981-4740-24-1(pbk) US$48 £42

LTCC Advanced Mathematics Series - Vol 4Geometry in Advanced Pure Mathematicsedited by Shaun Bullett (Queen Mary University of London, UK), Tom Fearn & Frank Smith (University College London, UK)

This book leads readers from a basic foundation to an advanced level understanding of geometry. This is the perfect text for those looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics, hyperbolic geometry, syzygies, minimal resolutions, and minimal surfaces.

Readership: Researchers, graduate students.

236pp May 2017978-1-78634-106-8 US$88 £73

Spectral Geometry of the LaplacianSpectral Analysis and Differential Geometry of the Laplacianby Hajime Urakawa (Tohoku University, Japan)

The totality of the eigenvalues of the Laplacian of a compact Riemannian manifold is called the spectrum. We describe how the spectrum determines a Riemannian manifold. The continuity of the eigenvalue of the Laplacian, Cheeger and Yau's estimate of the first eigenvalue, the Lichnerowicz – Obata's theorem on the first eigenvalue, the Cheng's estimates of the kth eigenvalues, and Payne – Pó lya – Weinberger's inequality of the Dirichlet eigenvalue of the Laplacian are also described. Then, the theorem of Colin de Verdière, that is, the spectrum determines the totality of all the lengths of closed geodesics is described. We give the V Guillemin and D Kazhdan's theorem which determines the Riemannian manifold of negative curvature.

Readership: Researchers in differential geometry and partial differential equations.

312pp Aug 2017978-981-3109-08-7 US$118 £98

Differential Geometry of Warped Product Manifolds and Submanifoldsby Bang-Yen Chen (Michigan State University, USA)

Warped product manifolds plays very important roles in geometry and mathematical physics, especially in general relativity. Many basic solutions of the Einstein field equations are warped product manifolds. This volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. It presents a detailed and up-to-date account on important results of warped product manifolds.

Readership: Graduate students and researchers in geometry, mathematical physics and general relativity.

516pp Jul 2017978-981-3208-92-6 US$158 £131

NOTABLE BACKLIST

Lectures on Differential GeometryS S Chern (UC Berkeley, USA), W H Chen (Beijing University), K S Lam (California State Polytechnic University)

Bestselling Author

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Mathematics 2019

Metric in Measure Spacesby J Yeh (University of California, Irvine, USA)

Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation. The book closes this gap. Contents include: Measure and Outer Measure; Construction of Outer Measures; Borel Measures; Hausdorff Measures; Covering Theorems; Differentiation of Measures; Averaging Operators and Differentiation of Integrals; Lebesgue Differentiation Theorem for Integrals; Hardy – Littlewood Maximal Functions; Density of Sets; Approximate Limit and Approximate Continuity; Lipschitz Mappings

Readership: Mathematicians and graduate students in mathematics.

400pp Dec 2018978-981-3200-39-5 US$98 £81978-981-3200-40-1(pbk) US$58 £48

A Course in Analysisby Niels Jacob & Kristian P Evans (Swansea University, UK)

Key Features: • A coherent treatment of the entire core in

mathematical analysis for undergraduate and graduate students — a unique source for learning as well as a reference text for later studies

• A comprehensive and modern treatment of indispensible theories for every mathematician: measure and integration theory, complex function theory, fourier analysis. ordinary differential equations, calculus of variations

• Each volume has more than 250 problems solved in full detail

Readership: Undergraduate and graduate students in mathematics

Vol. III: Measure and Integration Theory, Complex-Valued Functions of a Complex Variable784pp Dec 2017978-981-3221-59-8 US$128 £113

Vol. IV: Fourier Analysis, Ordinary Differential Equations, Calculus of Variations780pp Nov 2018978-981-3273-51-1 US$188 £113

Lectures on Functional Analysis and Applications (2nd Edition)by V S Pugachev & I N Sinitsyn (Russian Academy of Sciences, Russia)

The materials covered, which includes all information on functional analysis necessary for those in various areas of mathematics applications and the simplicity of presentation, differentiates this book from others. This edition includes new and updated 300 examples and more than 500 problems to help readers understand and master the theories. Chapters 1 – 10 has been improved and made up to date with current fundamental and applied developments.

Readership: Undergraduate and graduate students, researchers in applied mathematics, and engineers.

800pp Oct 2018978-981-3203-17-4 US$178 £148978-981-3203-18-1(pbk) US$88 £73

Series in Real Analysis Kurzweil – Stieltjes IntegralTheory and Applicationsby Giselle Antunes Monteiro (Academy of Sciences of the Czech Republic), Antonín Slavík (Charles University, Czech Republic) & Milan Tvrdý(Academy of Sciences of the Czech Republic)

The book is primarily devoted to the theory of the Kurzweil – Stieltjes integral, its important applications in functional analysis, and in the theory of various kinds of generalized differential equations, including equations with impulses and dynamic equations on time scales. It presents results in a thoroughly updated form and, simultaneously, it is written in a widely understandable way.

Readership: Advanced undergraduates, graduate students and researchers in mathematical analysis and differential equations.

404pp Nov 2018978-981-4641-77-7 US$132 £110

Integration for Calculus, Analysis, and Differential EquationsTechniques, Examples, and Exercisesby Marat V Markin (California State University, Fresno, USA)

The book assists Calculus students to gain a better understanding and command of integration and its applications. Its reaches to students in advanced courses such as Multivariable Calculus, Differential Equations, and Analysis, where the ability to effectively integrate is essential. Keeping readers constantly focused on the three principal epistemological questions: "What for?", "Why?", and "How?", the book also contains a wealth of 143 examples, including 112 problems with complete step-by-step solutions, while providing several methods of solving the same problem. 6 Exercises and 162 Practice Problems are offered as well as 30 Mixed Integration Problems.

Readership: Undergraduates with an interest in integration and its applications.

150pp Nov 2018978-981-3272-03-3 US$58 £50

MATHEMATICAL ANALYSISThe Fractional Laplacianby Wenxiong Chen, Yan Li (Yeshiva University, USA) & Pei Ma (Nanjing Normal University, China)

This book provides comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of the fractional Laplacian, it gradually leads the readers to current research in this area. The explanations and illustrations are elementary enough so that readers can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which the professionals would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, and direct blowing up and rescaling arguments and so on. It emphasizes on illuminating the ideas behind the formal concepts and proofs, so that the readers can quickly grasp the essence.

Readership: Graduate students and researchers.

350pp May 2019978-981-3223-99-8 US$128 £113

Bestselling Author

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WORLD SCIENTIFIC

Series in Real Analysis - Vol 14Nonabsolute Integration on Measure Spacesby Wee Leng Ng (NTU, Singapore)

This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock – Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers. In this book the author shows a creative and innovative way of defining "intervals" in measure spaces, and prove many interesting and important results including the well-known Radon – Nikodým theorem.

Readership: Graduate students and researchers interested in analysis.

248pp Dec 2017978-981-3221-96-3 US$88 £77

Harmonic Analysis and Fractal Analysis over Local Fields and Applicationsby Weiyi Su (Nanjing University, China)

The book is self-contained, with wide scope and deep knowledge, taking modern mathematics as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques.

Readership: Undergraduate students, graduate students and researchers.

332pp Oct 2017978-981-3200-49-4 US$118 £98

Weighted Inequalities of Hardy Type (2nd Edition)by Alois Kufner (Academy of Sciences & University of West Bohemia, Czech Republic & RUDN University, Russia), Lars-Erik Persson (Luleå University of Technology, Sweden & UiT, The Arctic University of Norway, Norway & RUDN University, Russia) & Natasha Samko (Luleå University of Technology, Sweden)

"The exposition is clear, with virtually all details contained in the text. This is a core resource for this subject." Mathematical Reviews Clippings

In this edition, all chapters have been updated. There is a new chapter with information concerning a convexity approach to prove and explain Hardy-type inequalities, sharp constants, scales of inequalities to characterize Hardy-type inequalities, Hardy-type inequalities in other function spaces; and a number of new open questions.

Readership: Postgraduates, researchers in mathematical analysis, engineering, numerical analysis and applied mathematics.

480pp Aug 2017978-981-3140-64-6 US$128 £106

Weighted Inequalities Involving p-quasiconcave Operatorsby William Desmond Evans (Cardiff University, UK), Amiran Gogatishvili (Academy of Sciences of the Czech Republic) & Bohumír Opic (Charles University, Czech Republic)

Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes of quasiconcave functions on the interval I=(a,b) R. In this book we analyse the class Q(I) of -quasiconcave functions in a complete generality in order to establish results needed for a comprehensive study of weighted inequalities on the class Q(I). We illustrate our results on weighted inequalities of Hardy type, on weighted inequalities of Hardy type involving supremum, and on reverse forms of these inequalities.

Readership: Graduate students and researchers.

150pp Aug 2018978-981-3239-62-3 US$98 £85

Lipschitz Algebras (2nd Edition)by Nik Weaver (Washington University in St. Louis, USA)

“This nice little volume attempts, with considerable success, to place spaces and algebras of Lipschitz functions in functional analysis alongside their more familiar cousins whose elements are continuous or measurable functions of one sort or another. Most readers will discover that its subject is richer than they imagined, and that, notwithstanding the author’s engaging style, it can be quite difficult.” Mathematical Reviews

The edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metrics. This latest material reflects the importance of spaces of Lipschitz functions in a diverse range of current research directions.

Readership: Graduate students and specialists in functional analysis.

472pp Jul 2018978-981-4740-63-0 US$148 £130

Abstract Duality Pairs in Analysisby Charles Swartz (New Mexico State University, USA)

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz – Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach – Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali – Hahn – Saks Theorem from measure theory and the Hahn – Schur Theorem from summability.

Readership: Graduate Students and researchers in functional analysis.

304pp Feb 2018978-981-3232-76-1 US$118 £104

New Edition of Bestseller

New Edition of Bestseller

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Mathematics 2019

An Introduction to Analysisby Piotr Mikusiski (University of Central Florida, USA), Jan Mikusiski

"What I liked most about this book is its style, which renders difficult notions easy to grasp by students who followed a calculus course. Yet it gives easy proofs and shows different sides of mathematical analysis. I strongly recommend it to every college library."

MAA Reviews

Readership: Undergraduate students in introductory real analysis course.

320pp Apr 2017978-981-3202-61-0 US$88 £73

Singular Bilinear Integralsby Brian Jefferies (University of New South Wales, Australia)

This book is unique in drawing out the common features of functional analysis in operator traces, scattering theory, stochastic integration, semiclassical approximation and operator equations. The decoupling approach to bilinear integration with respect to vector measures like spectral measures is a common theme of these topics, laid out systematically here for the first time. The background to these topics is described with pointers to the relevant texts so that the book could be used profitably.

Readership: Graduate students and researchers in measure and integration, functional analysis, operator theory, harmonic analysis, mathematical physics and stochastic processes.

252pp Mar 2017978-981-3207-57-8 US$98 £81

Problems and Solutions in Real Analysis (2nd Edition)by Masayoshi Hata (Kyoto University, Japan)

This edition introduces an additional set of new mathematical problems with their detailed solutions in real analysis. It also provides numerous improved solutions to the existing problems from the previous edition, and includes very useful tips and skills for the readers to master successfully. There are three more chapters that expand further on the topics of Bernoulli numbers, differential equations and metric spaces. Each chapter has a summary of basic points, in which some fundamental definitions and results are prepared. It contains many brief historical comments for some significant mathematical results in real analysis together with many references.

Readership: Undergraduates and graduate students in mathematical analysis.

376pp Feb 2017978-981-3142-81-7 US$88 £73978-981-3142-82-4(pbk) US$48 £40

Essential Textbooks in Mathematics A Friendly Approach to Functional Analysisby Amol Sasane (London School of Economics, UK)

"This is a nice and modern introduction to the topic ... If the reader is a student who wants to be become proficient in the subject, then solving the exercises, or as many as possible, is an excellent way to acquire the necessary skills. The flexible possibilities provided — the text can be used as lecture notes for a course, or as a tool for self study, and even as a handbook to look up some definitions or theorems."

European Mathematical Society

Readership: Graduate students in functional analysis, operator theory and mathematical physics.

396pp Apr 2017978-1-78634-333-8 US$118 £98978-1-78634-334-5(pbk) US$68 £56

Concise Calculusby Sheng Gong & translated by Youhong Gong (University of Science and Technology of China)

"Essential elements promised are: illustrative, practical applications and effective economy. Both promises are partly met in this edition, resulting in a good single volume supplemental to several undergraduate university courses." MAA Reviews

Readership: Undergraduate students in mathematics, physics, engineering and computer science.

692pp Apr 2017978-981-4291-48-4 US$110 £91978-981-4291-49-1(pbk) US$58 £48

NOTABLE BACKLIST

Advanced Calculus (Revised Edition)Lynn Harold Loomis & Shlomo Sternberg (Harvard)

A Guide to Distribution Theory and Fourier TransformsRobert S Strichartz (Cornell University, USA)

Applied AnalysisJohn K Hunter & Bruno Nachtergaele (UC Davis, USA)

Real Analysis: Theory of Measure and Integration (3rd Edition)J Yeh (UC Irvine)

Functions of Several Real VariablesMartin Moskowitz (City University of New York, USA), Fotios Paliogiannis (St. Francis College, USA)

What is Calculus? From Simple Algebra to Deep AnalysisR Michael Range (State University of New York at Albany, USA)

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WORLD SCIENTIFIC

Dynamical System Models in the Life Sciences and Their Underlying Scientific Issuesby Frederic Y M Wan (UC Irvine)

Key Features: • When mathematical techniques are introduced,

they are initiated and motivated by specific questions on the phenomena so that readers can see the need for the relevant mathematics

• Nearly all mathematical methods introduced to analyze specific models can be traced back to, and explained in terms of basic calculus and/or matrix operations

• By asking different questions about the same biological phenomenon, a familiar model is routinely extended or modified to a different level of complexity to motivate the need for more mathematics

Readership: Undergraduates in mathematical biology, mathematical modeling of dynamical systems, optimization, control, viral dynamics, oncology.

400pp Oct 2017978-981-3143-33-3 US$128 £113978-981-3143-70-8(pbk) US$78 £69

Applications of Calculus to Biology and Medicineby Nathan C Ryan (Bucknell University, USA), Dorothy Wallace (Dartmouth College, USA)

Biology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do they see authentic applications of its techniques and concepts.  This book is designed to address this issue: it prepares students to engage with research literature in the mathematical modeling of biological systems. The text includes projects, problems and exercises: projects engage students with research literature, problems extend students' understanding and exercises ask the students to check their understanding .

Readership: Undergraduates in biomathematics, mathematical biology, mathematical modeling, applied mathematics, and dynamical systems.

272pp Oct 2017978-981-3222-77-9 US$95 £84

Stochastic Models in the Life Sciences and Their Methods of Analysisby Frederic Y M Wan (UC Irvine) 

This volume provides working knowledge of stochastic differential / difference equations (SDE). Through some SDE models of familiar biological phenomena, we show how stochastic methods developed for other areas of science and engineering are also useful in life sciences. It introduces a collection of analytical and computational methods for research and applications in this emerging area of life science.

Readership: Undergraduates, graduates, researchers in mathematical biology, stochastic processes and infectious diseases.

371pp Mar 2019978-981-3274-60-0 US$98 £85

NOTABLE BACKLIST

Dynamics of Cancer: Mathematical Foundations of OncologyDominik Wodarz & Natalia L Komarova (UC Irvine)

MATHEMATICAL BIOLOGY Fundamentals of Network Biologyby WenJun Zhang (Sun Yat-sen University, China)

As the first comprehensive title on network biology, this book covers a wide range of subjects including scientific fundamentals (graphs, networks, etc) of network biology, construction and analysis of biological networks, methods for identifying crucial nodes in biological networks, link prediction, flow analysis, network dynamics, evolution, simulation and control, ecological networks, social networks, molecular and cellular networks, network pharmacology and network toxicology,  big data analytics, and more.

Readership: Advanced undergraduates and graduate students and researchers in biology, ecology, pharmacology, applied mathematics, computational science, etc.

568pp                                         Jul 2018978-1-78634-508-0   US$188 £165

A Mathematical Modeling Approach to Infectious Diseases Cross Diffusion PDE Models for EpidemiologyBy William E Schiesser (Lehigh University, USA)

This book provides a methodology for the analysis of infectious diseases by computer-based mathematical models. The approach is based on ordinary differential equations (ODEs) that provide time variation of the model dependent variables and partial differential equations (PDEs) that provide time and spatial (spatiotemporal) variations of the model dependent variables. The ODE/PDE methodology is open ended and facilitates the development of computer-based models which can elucidate the causes/conditions of infectious disease evolution and suggest methods of control.

Readership: Medical researchers, biologists, applied mathematicians, NIH, WHO, pharmaceutical companies.

460pp Jun 2018978-981-3238-78-7 US$98 £86

Computational Chemotaxis Models for Neurodegenerative Diseaseby William E Schiesser (Lehigh University, USA)

The mathematical model presented, based on partial differential equations (PDEs) describing attractant-repellent chemotaxis, is offered for a quantitative analysis of neurodegenerative disease (ND), e.g., Alzheimer's disease (AD). The model is a representation of basic phenomena (mechanisms) for diffusive transport and biochemical kinetics that provides the spatiotemporal distribution of components which could explain the evolution of ND, and is offered with the intended purpose of providing a small step toward the understanding, and possible treatment of ND.

Readership: Biologists, medical researchers and clinicians, biophysicists, biochemists, engineers and applied mathematicians.

172pp                                            May 2017978-981-3207-45-5                       US$98 £81978-981-3208-91-9(pbk)              US$58 £48

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Mathematics 2019

Advanced Textbooks in Mathematics Crowds in EquationsAn Introduction to the Microscopic Modeling of Crowdsby Bertrand Maury & Sylvain Faure (Université Paris-Sud, France)

The book contains self-contained descriptions of existing models, accompanied by critical analyses of their properties from a theoretical and practical standpoint. It aims to develop 'modeling skills', giving readers the ability to develop their own models and improve existing ones. Written in connection with a full, open source Python Library, this project enables readers to run the simulations discussed within the text. Using a mathematical perspective, this book presents a systematic investigation of paradoxical phenomena, such as the Faster is Slower effect, to bring new understanding to complex issues.

Readership: Students or researchers interested in crowd motion modeling.

190pp Oct 2018978-1-78634-551-6 US$78 £69

Mathematical Music TheoryAlgebraic, Geometric, Combinatorial, Topological and Applied Approaches to Understanding Musical Phenomenaedited by Mariana Montiel (Georgia State University, USA), Robert W Peck (Louisiana State University, USA)

Mathematical models can be found from theoretical analysis to actual composition or sound production. Increasingly in the last few decades, musical scholarship has incorporated modern mathematical content. One example is the application of methods from Algebraic Combinatorics, or Topology and Graph Theory, to the classification of different musical objects. However, these applications of mathematics in the understanding of music have also led to interesting open problems in mathematics itself. The reach and depth of the contributions on mathematical music theory presented in this volume is significant. Each contribution is in a section within these subjects: (i) Algebraic and Combinatorial Approaches; (ii) Geometric, Topological, and Graph-Theoretical Approaches; and (iii) Distance and Similarity Measures in Music.

Readership: Students and researchers.

250pp Nov 2018978-981-3235-30-4 US$98 £86

Chemotaxis, Reaction, NetworkMathematics for Self-Organizationby Takashi Suzuki (Osaka University, Japan)

This monograph is devoted to recent mathematical theories on the bottom up self-organization observed in closed and isolated thermo-dynamical systems. Its main features include: New mathematical results observed in nonlinear systems significantly associated with the physical background on self-organization; Mathematically self-contained descriptions based on systematic and comprehensive descriptions of recently developed mathematical techniques; Fusion of many areas by strongly supported theoretical leaderships, including, chemotaxis, turbulence, fluid motion, reaction, and network

Readership: Researchers in partial differential equations, mathematical modeling, mathematical physics.

320pp Sep 2018978-981-3237-73-5 US$118 £104

Complexity ScienceAn Introductionedited by Mark A Peletier, Rutger A van Santen (Eindhoven University of Technology, The Netherlands) & Erik Steur (Delft University of Technology, The Netherlands)

This book comprises methods and principles in Complexity Science from various disciplinary fields. It introduces different aspects in a coherent fashion, providing a common basis and the founding principles of different complexity science approaches; the next discusses the different methods with interesting illustrative applications. The fundamental topics deal with self-organization, pattern formation, forecasting uncertainties, synchronization and revolutionary change, self-adapting and self-correcting systems, and complex networks.

Readership: Graduate students and researchers interested in complexity ranging from physics, mathematics, chemistry, to biology and social sciences.

400pp Aug 2019978-981-3239-59-3 US$138 £120

Fractional Calculus and Waves in Linear Viscoelasticity (2nd Edition)An Introduction to Mathematical Modelsby Francesco Mainardi (University of Bologna, Italy)

This book is a self-contained treatment of the mathematical theory of linear viscoelasticity with particular regard to models based on fractional calculus.The explanations are detailed and capture the interest of the curious reader, and complete to provide the necessary background material needed to delve further into the subject and explore the research literature. Graphics are extensively used and a large general bibliography is included. Each chapter in this edition has been revised and expanded, and new additions include a novel appendix on complete monotonic and Bernstein functions.

Readership: Engineers, graduate students and researchers in applied sciences.

400pp May 2019978-1-78326-398-1 US$150 £125

MATHEMATICAL COMPUTATION& MODELING

Advanced Mathematical and Computational Tools in Metrology and Testing XIedited by  Alistair B  Forbes   (Nat ional Physical Laboratory, UK), Anna Chunovkina (D I Mendeleev All-Russian Institute for Metrology (VNIIM), Russia), Sascha Eichstädt (Physikalisch-Technische Bundesanstalt, Germany), Nien-Fan Zhang (National Institute of Science and Technology, USA), Franco Pavese (Istituto Nazionale di Ricerca Metrologica (INRIM), Italy) 

This volume contains original, refereed contributions by researchers from institutions and laboratories across the world that are involved in metrology and testing. The papers present new modeling approaches, algorithms and computational methods for analyzing data from metrology systems and evaluation measurement uncertainty, and describe their applications in a wide range of measurement areas. It covers the latest computational approaches and describes applications to current measurement challenges in engineering, environment and life sciences.

Readership: Researchers, graduate students, academics and professionals in metrology.

460pp Jan 2019978-981-3274-29-7 US$168 £150

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WORLD SCIENTIFIC

Fractional Kinetics in SpaceAnomalous Transport Modelsby Vladimir Uchaikin (Ulyanovsk State University, Russia), Renat Sibatov (Ulyanovsk State University, Russia)

This book is first of its kind describing a new direction in modeling processes taking place in interplanetary and interstellar space. This method is based on a special mathematical analysis — fractional calculus. The reader will find in this book clear physical explanation of the fractional approach and will become familiar with basic rules in this calculus and main results obtained in frame of this approach. In spite of its profound subject, the book is not overloaded by mathematical details. It contains many illustrations, rich citation and remains accessible to a wide circle of physicists.

Readership: Graduate and postgraduate students, researchers specializing in applications of fractional calculus, astrophysics, solar-terrestrial science and physics of cosmic rays.

300pp Jan 2018978-981-3225-42-8 US$108 £95

Mathematics of Planet EarthA Primeredited by Dan Crisan (Imperial College London, UK)

Mathematics of Planet Earth (MPE) was started and continues to be consolidated as a collaboration of mathematical science organisations around the world. These organisations work together to tackle global environmental, social and economic problems using mathematics. This textbook introduces the fundamental topics of MPE while explaining their modern usages and operational connections. In particular, it discusses the links between partial differential equations, data assimilation, dynamical systems, mathematical modelling and numerical simulations and applies them to insightful examples.

Readership: Advanced undergraduate and graduate students in mathematics, physics and engineering; geophysical fluid dynamics for meteorology, atmospheric science and oceanography.

372pp Sep 2017978-1-78634-382-6 US$118 £104978-1-78634-383-3(pbk) US$40 £35

Grammar of ComplexityFrom Mathematics to a Sustainable Worldby Dimitri Volchenkov (Texas Tech University, USA)

The book is an introduction to the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems, it shows how the concepts of complexity theory is applicable to the problem fo survival, urban studies, income inequality, musical harmony. Our self-consistent review provides the necessary basis for consistency. We discuss applications such diverse as urban structures and musical compositions.

Readership: Graduate student in information theory, complex systems and mathematical modeling.

284pp Mar 2018978-981-3232-49-5 US$98 £86

Method of Lines Analysis of Turing Modelsby William E Schiesser (Lehigh University, USA)

This book discusses numerical methods and associated computer routines for reaction-diffusion systems of varying form. The numerical examples are discussed in numerical integration of the PDEs to demonstrate the spatiotemporal features of the solutions and in a numerical eigenvalue analysis that corroborates the observed temporal variation of the solutions. The routines are available through a link and readers can execute the PDE models to reproduce the solutions, experiment with the models, extend and apply to other models.

Readership: Biologists, medical researchers and clinicians, biophysicists, biochemists, biomathematicians, anthropologists, engineers.

268pp Aug 2017978-981-3226-69-2 US$88 £77

The Limits of Mathematical Modeling in the Social SciencesThe Significance of Gödel’s Incompleteness Phenomenonedited by Francisco Antonio Doria (Universidade Federal do Rio de Janeiro, Brazil)

Current mathematical models are notoriously unreliable in describing the time evolution of unexpected social phenomena, from financial crashes to revolution. Can such events be forecast? Can we compute probabilities about them? Can we model them? This book investigates answers these questions through Gödel's two incompleteness theorems, and demonstrates how influential Gödel is in modern logical and mathematical thinking.

Readership: Graduate level mathematicians applying their work to social sciences, formal logicians and philosophers of science.

288pp Jul 2017978-1-78634-315-4 US$118 £98

Mathematical Methods for the Natural and Engineering Sciences (2nd Edition)by Ronald E Mickens (Clark Atlanta University, USA)

"Most chapters can be studied independently of each other. This allows one to select material appropriate for the one semester course whereas all the topics can be presented in one year. The text contains enough material to support courses on advanced engineering mathematics, mathematical methods or mathematical physics and thus is warmly recommended as supplementary reading. The book shall also prove very helpful to specialists who look for a well-written introduction to basic mathematical techniques used for solving applied problems." Zentralblatt MATH

Readership: Undergraduate and graduate students, and researchers studying / using mathematical methods.

640pp Feb 2017978-981-3202-70-2 US$138 £115

NOTABLE BACKLIST

Calculating CatastropheGordon Woo

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20

Mathematics 2019

Risk and StochasticsRagnar Norberg at 70edited by Pauline Barrieu (London School of Economics and Political Science, UK)

This book is a collection of articles written by respected academics who have influenced and been influenced by the life and work of Professor Norberg. Celebrated in this book are his professional and academic achievements, most significantly the instrumental work he put into setting up the world-renowned Risk and Stochastics Group at the London School of Economics (LSE). Subjects covered include discussion of risk measurements, ruin constraint, supporting stable pensions, filtration in discrete time, Riesz means and Beurling moving averages and orthonormal polynomial expansions.

Readership: Graduate level students and researchers in modern actuarial and financial mathematics and their interface.

250pp Apr 2019978-1-78634-194-5 US$85 £71

Probability and Statistics for Economistsby Yongmiao Hong (Cornell)

This book provides comprehensive coverage of probability and statistics that will be useful as indispensable mathematical tools in economics. As a most important feature, this textbook emphasizes intuition, explanations and applications of probability and statistics from an economic perspective. Various numerical examples are provided to illustrate the concepts, theory and methods in probability and statistics introduced.

Readership: Graduate students in economics, statistics and related fields.

592pp Jan 2018978-981-3228-81-8 US$118 £104

Deterministic and Stochastic Topics in Computational Financeby Ovidiu Calin (Princeton)

What distinguishes this book from other texts on mathematical finance is the use of both probabilistic and PDEs tools to price derivatives for both constant and stochastic volatility models, by which the reader has the advantage of computing explicitly a large number of prices for European, American and Asian derivatives. The book presents continuous time models for financial markets, starting from classical models and evolving towards the most popular models today.

Readership: Undergraduates, graduate students and researchers in Mathematical Finance.

484pp Jan 2017978-981-3203-07-5 US$138 £115978-981-3203-08-2(pbk) US$68 £56

NOTABLE BACKLIST

Elementary Stochastic Calculus, with Finance in ViewThomas Mikosch (University of Groningen)

MATHEMATICAL FINANCE & ECONOMICS

Theoretical Foundations for Quantitative Financeby Luca Spadafora (Università Cattolica del Sacro Cuore, Italy), Gennady P Berman (Los Alamos National Laboratory, USA & New Mexico Consortium, USA)

"Spadafora and Berman present the fundamentals of quantitative finance focusing on pricing and risk management problems from a practical and a methodological point of view. This book can be recommended both to graduate students approaching finance for the gentle introduction to the main subjects aided by the necessary mathematical tools, and to practitioners, which may value the convincing presentation of recent developments in the field."

Andrea PallaviciniHead of Equity, FX and Commodity Models, Banca IMI, Italy

Readership: Students and researchers in quantitative finance, risk management and stochastic analysis.

224pp                                        Jun 2017978-981-3202-47-4                   US$78                   £65

Time Series Econometrics (In 2 Volumes) edited by Pierre Perron (Boston University, USA)

Volume 1: Unit Roots and Trend Breaks covers statistical methods related to unit roots, trend breaks and their interplay. Testing for unit roots has been a topic of wide interest and the author was at the forefront of this research. Volume 2: Structural Change is about statistical methods related to structural change in time series models. The approach adopted is off-line whereby one wants to test for structural change using a historical dataset and perform hypothesis testing. A distinctive feature is the allowance for multiple structural changes.

Readership: Graduate students and researchers in theoretical and applied time series analysis.

1100pp Nov 2018978-981-3237-85-8(Set) US$298       £262

Heavy Tails and Copulas Topics in Dependence Modelling in Economics and Financeby Rustam Ibragimov (Imperial College London, UK), Artem Prokhorov (University of Sydney, Australia)

This book offers a unified approach to the study of crises, large fluctuations, dependence and contagion effects in economics and finance. It covers important topics in statistical modeling and estimation, which combine the notions of copulas and heavy tails to provide a new way of thinking about such vital problems as diversification of risk and propagation of crises through financial markets due to contagion phenomena, among others.

Readership: Advanced students in economics, finance, financial econometrics; risk managers; actuaries; finance professionals; business analysts; banking regulators.

304pp Apr 2017978-981-4689-79-3 US$118                 £98

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WORLD SCIENTIFIC

The Digital and the Real WorldComputational Foundations of Mathematics, Science, Technology, and Philosophyby Klaus Mainzer (Technical University of Munich, Germany)

This book studies the foundations of mathematics, computer science, and philosophy, to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT).

Readership: Undergraduate and graduate students, scientists and readers who are interested in foundational, interdisciplinary, and philosophical questions of mathematics, computer science, and science in general.

472pp Jan 2018978-981-3225-48-0 US$158 £139

Computability, Forcing and Descriptive Set Theoryedited by Douglas Cenzer (University of Florida, USA), Christopher Porter (Drake University, USA) & Jindrich Zapletal (University of Florida, USA)

This volume presents some exciting new developments occurring on the interface between set theory and computability as well as their applications in algebra, analysis and topology. These include effective versions of Borel equivalence, Borel reducibility and Borel determinacy. It also covers algorithmic randomness and dimension, Ramsey sets and Ramsey spaces. Prominent contributors include George Barmpalias (Chinese Acad. Sci. and U. Wellington, NZ), Andreas Blass (Fellow of AMS, U. Michigan), Andy Lewis-Pye (London School of Economics)

Readership: Graduate students and researchers interested in set theory and computability.

200pp Jan 2019978-981-3228-22-1 US$98 £86

How to Measure the InfiniteMathematics with Infinite and Infinitesimal Numbersby Vieri Benci & Mauro Di Nasso (Universitàdi Pisa, Italy)

This book provides a comprehensive exposition of a new way of counting (countable) infinite sets, in particular, numerosities that maintain the ancient Aristotle's principle: “The whole is larger than its parts.” It also contains an original introduction to nonstandard analysis. The basic principles are presented by using the ordinary language of mathematics. This book is the result of a scientific collaboration among different perspectives of mathematics. The first author is a leading figure in variational and topological methods in nonlinear analysis, while the second author is a specialist in mathematical logic and in the foundations of nonstandard analysis.

Readership: Advanced undergraduate and graduate students in mathematics and philosophy.

344pp Oct 2018978-981-283-637-3 US$94 £78

Eliminating the UniverseLogical Properties of Natural Languageby Edward L Keenan (UCLA)

This book synthesizes the logical expressive power of natural language. It extends the tools and concepts of model theory as used in predicate logic to the study of natural language semantics. It focuses on boolean structure, generalized quantification, covering some cases of anaphora. Different categories are modeled by non-isomorphic boolean lattices. Of empirical linguistic interest is the expressibility of many natural classes of quantifiers defined in terms of their logical properties. Some of these correlate with classes used syntactically in generative grammar. In other cases we find general constraints on possible quantifier denotations in natural language.

Readership: Researchers in mathematical logic and artificial intelligence.

184pp Aug 2018978-981-4719-83-4 US$88 £75

MATHEMATICAL LOGIC & FOUNDATIONS

Proof and ComputationDigitization in Mathematics, Computer Science and Philosophyedited by Klaus Mainzer (Technische Universität München, Germany), Peter Schuster (Università deg l i S tudi d i Verona, I t a ly) & Helmut Schwichtenberg (Ludwig-Maximilians-Universität München, Germany)

This book introduces modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes Predicative Foundations, Constructive Mathematics and Type Theory, Computation in Higher Types, Extraction of Programs from Proofs, and Algorithmic Aspects in Financial Mathematics. The book gives a scholarly account of recent developments and emerging branches of the fields.

Readership: Graduate students, researchers, and professionals in Mathematics and Computer Science.

300pp Jul 2018978-981-3270-93-0 US$98 £85

Mathematics Almost Everywhereedited by Alexandra Bellow (Northwestern University, USA), Cristian S Calude (University of Auckland, New Zealand) & Tudor Zamfirescu (Technical University of Dortmund, Germany & “Simion Stoilow” Mathematical Institute of the Romanian Academy)

This volume intends to emphasize the mathematical fields in which Solomon Marcus worked, and demonstrate — as he also did — the interconnection between them. The authors who contribute to this volume are well-known experts in their fields. Most of them knew Solomon Marcus well, some even owed him for his decisive impulses for their careers and general development.The book will attract readers who would like to diversify their own knowledge or find unexpected connections with other topics.

Readership: Graduate students and researchers.

252pp Jun 2018978-981-3237-30-8 US$98 £86

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Mathematics 2019

Logic in WonderlandAn Introduction to Logic through Reading Alice in Wonderlandby Nitsa Movshovitz-Hadar (Technion - Israel Institute of Technology, Israel), Atara Shriki (Oranim Academic College of Education, Israel)

Ordinary textbooks for such a course are purely mathematical in their nature, and students usually find it difficult, boring and technical. Our approach motivates students through reading the classic Alice's Adventures in Wonderland, written by Lewis Caroll, one of the best storytellers and also a logician. There are student’s handouts and exemplary solutions, along with background in elementary logic and pedagogical comments.

Readership: College and high school mathematics teachers and students.

Student’s Workbook200pp Aug 2018978-981-3208-67-4(pbk) US$34 £28

Teacher’s Guidebook300pp Aug 2018978-981-3208-62-9 US$98 £81978-981-3209-81-7(pbk) US$48 £40

Selecta IIIProfessor Sinai’s Selected Papersedited by Yakov G Sinai (Princeton)

Yakov G Sinai is one of the most important and influential mathematicians and physicists. He won the Wolf Prize for Mathematics in 1997 and Nemmers Prize in 2002. This volume contain several papers, some papers related to probability theory and statistical physics, papers on Anderson localization for some classes of Schroedinger equations and the papers on Interval Exchange Transformations, joint with C Ulcigrai and A Bufetov. Of notable mention are the paper on the distribution of the first positive sums in the case of independent random variables which was the author's first publication and the joint paper with V Yakhot which had several applications among hydrodynamical community.

Readership: Graduate students and researchers in mathematics and physics.

500pp May 2019978-981-3208-87-2 US$128 £106

Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore - Vol 33Sets and Computationsedited by Sy-David Friedman (Universität Wien, Austria), Dilip Raghavan & Yue Yang (NUS, Singapore)

This book reports important and recent interactions between the fields of Set Theory and Computation Theory. It includes new research areas of computational complexity in set theory, randomness beyond the hyperarithmetic, powerful extensions of Goodstein's theorem and the capturing of large fragments of set theory via elementary-recursive structures. Further chapters are concerned with central topics within Set Theory, including cardinal characteristics, Fraïssé limits, the set-generic multiverse and the study of ideals. Also Computation Theory, which includes computable group theory and measure-theoretic aspects of Hilbert's Tenth Problem.

Readership: Researchers and graduate students in mathematical logic, set theory and recursion theory.

280pp Aug 2017978-981-3223-51-6 US$108 £95

Quantum Field Theory, Quantum Physics and Micro-Macro Dualityby Izumi Ojima (Research Origin for Dressed Photon, Japan), Kazuya Okamura (Nagoya University, Japan) & Hayato Saigo(Nagahama Institute of Bio-Science and Technology, Japan)

According to the fundamental concept "adjunctions" in category theory, the Micro and Macro in nature can be connected in a coherent way, which constitutes quite an effective theoretical and mathematical machinery that has not been commonly recognized. On the basis of this concept, many important problems in physics and mathematics can be viewed from quite different and fresh angles, which facilitate deep understanding and the satisfactory solution of those problems.

Readership: Graduate students and researchers in quantum theory, mathematical physics, neural networks, pattern recognition.

300pp May 2019978-981-3238-36-7 US$98 £86

MATHEMATICAL PHYSICS& RELATED TOPICS

Quantized Number Theory, Fractal Strings and the Riemann HypothesisFrom Spectral Operators to Phase Transitions and Universalityby Hafedh Herichi (Santa Monica College, USA), Michel L Lapidus (University of California, Riverside, USA)

Studying the relationship between the geometry, arithmetic and spectra of fractals has been of significant interest in contemporary mathematics. The authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. They use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics. This book provides a rigorous framework within which the corresponding question "Can one obtain information about the geometry of a fractal string, given its spectrum?".

Readership: Researchers in fractal geometry, complex analysis, harmonic analysis, operator theory, spectral theory, mathematical physics, algebra and number theory.

400pp Apr 2019978-981-3230-79-8 US$128 £113

NOTABLE BACKLIST

Forcing for MathematiciansNik Weaver (Washington University in St. Louis, USA)

Saturated Model Theory (2nd Edition)Gerald E Sacks (Harvard University, USA)

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WORLD SCIENTIFIC

Quantum Systems and Finite ApproximationsArchimedean and Non-Archimedeanby Trond Digernes (The Norwegian University of Science and Technology (NTNU), Norway), Erik Makino Bakken (Norwegian Defence Research Establishment)

In this volume various aspects of non-Archimedean quantum systems are discussed, such as spectral properties of their Schrödinger operators, and their ability to be approximated by finite systems. Non-Archimedean stochastic methods are also discussed.

Readership: Researchers in mathematical physics, quantum physics and quantum mechanics.

150pp Feb 2019978-981-4713-49-8 US$90 £75

Maxwell EquationInverse Scattering in Electromagnetismby Hiroshi Isozaki (University of Tsukuba, Japan)

This book establishes a firm basis for the inverse scattering theory for the Maxwell equation from the theoretical viewpoint, providing the readers with sufficient knowledge to understand the frontier of this field. It provides fundamental results for wave equations and Helmholtz equations, and summarizes the potential theory. It also explains the cohomology theory in an easy and straightforward way. It then describes the scattering theory for the Maxwell equation by the time-dependent method and also by the stationary method in a concise, but almost self-contained manner. Based on these preliminary results, the book proceeds to the inverse problem for the Maxwell equation.

Readership: Undergraduates, graduate students, researchers in inverse scattering theory for electromagnetism.

300pp Sep 2018978-981-3232-69-3 US$118 £104

A Guide to Mathematical Methods for PhysicistsAdvanced Topicsby Michela Petrini (University Pierre and Marie Curie, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy) & Alberto Zaffaroni (University of Milano-Bicocca, Italy)

This book provides a self-contained and rigorous presentation of the main mathematical tools needed to approach many courses, from Electromagnetism to Quantum Mechanics. The different arguments are organised into Complex Analysis, Differential Equations and Hilbert Spaces, covering most of the standard mathematical method tools in modern physics. The book shows how seemingly different mathematical tools are all deeply interconnected. It contains a large number of examples, problems and detailed solutions, emphasising the main purpose of relating concrete physical examples with more formal mathematical aspects.

Readership: Advanced undergraduate and graduate students, professionals in the field.

276pp Sep 2018978-1-78634-548-6 US$88 £77

Fractional Quantum Mechanicsby Nick Laskin (TopQuark Inc., Canada)

Fractional quantum mechanics is a recently emerged and rapidly developing field of quantum physics. This is the first monograph on fundamentals and physical applications of fractional quantum mechanics, written by its founder. The fractional Schrödinger equation and the fractional path integral are new fundamental physical concepts introduced and elaborated in the book. The fractional Schrödinger equation is a manifestation of fractional quantum mechanics. The fractional path integral is a new mathematical tool based on integration over Lévy flights. The fractional path integral method enhances the well-known Feynman path integral framework.

Readership: Graduate students and researches in quantum theory, stochastic processes, statistical mechanics, special functions.

360pp Jul 2018978-981-3223-79-0 US$118 £104

Elementary Mechanics (In 2 Volumes)by John G Papastavridis (Georgia Institute of Technology, USA)

This is a comprehensive and state-of-the-art compendium of Newtonian-Eulerian (momentum/vectorial) mechanics, from an advanced and unified viewpoint. The presentation is eminently readable and inclusive: the style is informal and the mathematics has been kept to the simplest necessary for a work of this level and scope. As such, the book continues, renovates, and expands the grand tradition laid by such educational 20th century “elementary mechanics” classics. No volume of such scope [comprehensiveness + level + readability (multiple complementary notations, clear figures) + extensive list of references / bibliography] has ever been written, in any language.

Readership: Teachers, and Researchers in most areas of engineering (especially aerospace, mechanical, and engineering mechanics), physics, and applied mathematics.

1680pp Feb 2019978-981-4603-04-1(Set) US$384 £319

The Linearised Dam-Break Problemby D J Needham, S McGovern & J A Leach (University of Birmingham, UK)

The monograph addresses a canonical problem in linear water wave theory, through the development-detailed, asymptotic analysis of contour integrals in the complex plane. It is anticipated that the methodology developed in the monograph will have applications to many associated linear wave evolution problems, to which the reader may adapt the approach developed in the monograph. The approach adopted in the monograph is novel, and there are no existing publications for comparison.

Readership: Graduate students and researchers.

168pp Sep 2018978-981-3223-87-5 US$88 £77

Bestselling Author

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Mathematics 2019

Ludwig Faddeev Memorial VolumeA Life in Mathematical Physicsedited by Mo-Lin Ge (Chern Institute of Mathematics, China), Antti J Niemi (Stockholm University, Sweden & Uppsala University, Sweden), Kok Khoo Phua (NTU, Singapore) & Leon A Takhtajan (Stony Brook University, USA & Euler International Mathematical Institute, Russia)

Ludwig Faddeev is widely recognized as one of the titans of 20th century mathematical physics. A gathering of contributions from some of the biggest names in mathematics and physics, this volume serves as a tribute to this legendary figure. Volume contributors include: Fields medallist Sir Michael Atiyah, Jürg Fröhlich, Roman Jackiw, Vladimir Korepin, Nikita Nekrasov, André Neveu, Samson Shatashvili, Fedor Smirnov as well as Nobel laureates Frank Wilczek and C N Yang.

Readership: Students, researchers and academics in mathematical physics.

636pp Jul 2018978-981-3233-76-8 US$128 £113

Langevin and Fokker – Planck Equations and their GeneralizationsDescriptions and Solutionsby Sau Fa Kwok (State University of Maringá, Brazil)

This invaluable book provides a broad introduction to a rapidly growing area of nonequilibrium statistical physics. Topics and methods of solutions are presented and discussed in details on the method of similarity solution, the method of characteristics, transformation of diffusion processes into the Wiener process in different prescriptions, harmonic noise and relativistic Brownian motion. Connection between the Langevin equation and Tsallis distribution is also discussed. Due to the growing interest in the research on the generalized Langevin equations, several of them are presented. They are described with some details.

Readership: Advanced undergraduate and graduate students in mathematical physics and statistical physics;

208pp May 2018978-981-3228-40-5 US$98 £86

Quantum Techniques in Stochastic Mechanicsby John Baez (UC Riverside & Centre for Quantum Technologies, Singapore), Jacob D Biamonte (Skolkovo Institute of Science and Technology, Russia)

We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets.

Readership: Graduate students and researchers in the field of quantum and mathematical physics.

276pp Apr 2018978-981-3226-93-7 US$98 £86

Noncommutative Cosmologyby Matilde Marcolli (California Institute of Technology, USA & Perimeter Institute for Theoretical Physics & University of Toronto, Canada)

Modified gravity models play an important role in contemporary theoretical cosmology. This book provides a novel approach to the topic based on techniques from noncommutative geometry, especially the spectral action functional as a gravity model. It discusses applications to early universe models and slow-roll inflation models, to the problem of cosmic topology, to non-isotropic cosmologies like mixmaster universes and Bianchi IX gravitational instantons, and to multifractal structures in cosmology.

Readership: Graduate students and researchers in mathematical physics and theoretical cosmology.

292pp Feb 2018978-981-3202-83-2 US$98 £86978-981-3202-84-9(pbk) US$48 £42

Resonance and Bifurcation to Chaos in Pendulumby Albert C J Luo (Southern Illinois University Edwardsville, USA)

This book discusses Hamiltonian chaos and periodic motions to chaos in pendulums. This book first detects and discovers chaos in resonant layers and bifurcation trees of periodic motions to chaos in pendulum in the comprehensive fashion, which is a base to understand the behaviors of nonlinear dynamical systems, as a results of Hamiltonian chaos in the resonant layers and bifurcation trees of periodic motions to chaos. The bifurcation trees of travelable and non-travelable periodic motions to chaos will be presented through the periodically forced pendulum.

Readership: Researchers and academics in the field of mathematics.

252pp Feb 2018978-981-3231-67-2 US$98 £86

Analysis on Fock Spaces and Mathematical Theory of Quantum FieldsAn Introduction to Mathematical Analysis of Quantum Fieldsby Asao Arai (Hokkaido University, Japan)

Key Features: • Detailed description of the theory of including

full Fock spaces, boson Fock spaces, fermion Fock spaces and boson-fermion Fock spaces

• New topics are included, such as the theory of infinite dimensional Dirac operators and an abstract supersymmetric quantum field theory.

• Detailed treatment of mathematical constructions of free quantum field models as well as a simple interacting model

Readership: Advanced undergraduate and graduate students, researchers in mathematics or physics.

892pp Feb 2018978-981-3207-11-0 US$188 £165

Bestselling Author

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WORLD SCIENTIFIC

A Mathematics Primer for Physics Studentsby Andrew E Blechman (Wayne State University, USA)

This primer is meant to be both an introduction and summary of many mathematical methods that are needed to solve problems in advanced undergraduate or early graduate physics courses. The material is presented through example to demonstrate how it would be useful in the context of solving physics problems, with minimal use of formalism or proof. Topics include linear algebra; vector and tensor analysis; geometric tools such as metrics and curvature; mathematical groups, with emphasis on representation theory and Lie groups/algebras; complex calculus; integral transforms and differential equations; and an introduction to algebraic topology. An appendix is also included that summarizes various mathematical results which are useful to have in one place.

Readership: Undergraduate and graduate students, researchers looking to refresh their memory on some of the concepts.

300pp May 2019978-981-3238-01-5 US$78 £69

Fractional Calculus (3rd Edition)An Introduction for Physicistsby Richard Herrmann (GigaHedron, Germany)

The book presents a concise introduction to the basic methods and strategies in fractional calculus which enables the reader to catch up with the state-of-the-art in this field and to participate and contribute in the development of this exciting research area. This new, extended edition includes additional chapters about numerical solution of the fractional Schrödinger equation, self-similarity and the geometric interpretation of non-isotropic fractional differential operators. Motivated by the positive response, new exercises with elaborated solutions are added, which significantly support a deeper understanding of the general aspects of the theory.

Readership: Students, researchers as well as lecturers of various physics courses.

636pp Sep 2018978-981-3274-57-0 US$148 £130

Theory of Groups and SymmetriesFinite Groups, Lie Groups, and Lie Algebrasby Alexey P Isaev (Joint Institute for Nuclear Research, Dubna & M V Lomonosov Moscow State University, Russia), Valery A Rubakov (Russian Academy of Sciences, Moscow & M V Lomonosov Moscow State University, Russia)

The book presents the main approaches in study of algebraic structures of symmetries in models of theoretical and mathematical physics, namely groups and Lie algebras and their deformations. It covers the commonly encountered quantum groups (including Yangians). The second main goal of the book is to present a differential geometry of coset spaces that is actively used in investigations of models of quantum field theory, gravity and statistical physics. The third goal is to explain the main ideas about the theory of conformal symmetries, which is the basis of the AdS/CFT correspondence.

Readership: Graduate students and researchers in theoretical physics and mathematical physics.

476pp May 2018978-981-3236-85-1 US$138 £121

Mathematics for PhysicsAn Illustrated Handbookby Adam Marsh The approach taken by this book differs from other titles in that it is intuitive and visual yet also mathematically rigorous, allowing concise coverage of a large breadth of material and providing a cross-subject synthesis while at the same time serving as a useful reference. It is also unique in that it can be used in three ways: as the basis for a course, as a supporting text for related courses, and as a reference. The treatments of Riemannian geometry, Clifford algebras, and fiber bundles are particularly notable, including detailed figures and geometric viewpoints that would seem to be novel to the literature.

Readership: Students in mathematics and physics who want to explore a level deeper into actual mathematical content.

300pp Jan 2018978-981-3233-91-1 US$98 £86

A Half-Century of Physical Asymptotics and Other DiversionsSelected Works by Michael Berryby Michael Berry (University of Bristol, UK)

"Comments made on the philosophy and conduct of science are valuable and have been influenced strongly by academic contacts at the University of Bristol, and indeed worldwide ... The variety of papers and their intended readerships make much of this volume appropriate and enjoyable for general readers, as well as for specialists."

Contemporary Physics

724pp Sep 2017978-981-3221-19-2 US$118 £104978-981-3221-20-8(pbk) US$75 £62

A Guide to Mathematical Methods for PhysicistsWith Problems and Solutionsby Michela Petrini (Université Pierre et Marie Curie, France), Gianfranco Pradisi (University of Rome Tor Vergata, Italy) & Alberto Zaffaroni (University of Milano-Bicocca, Italy)

This textbook provides a self-contained and rigorous presentation of the main mathematical tools needed in many fields of Physics, both classical and quantum. It covers topics treated in mathematics courses for final-year undergraduate and graduate physics programmes, including complex function: distributions, Fourier analysis, linear operators, Hilbert spaces and eigenvalue problems. The different topics are organised into two main parts — complex analysis and vector spaces — in order to stress how seemingly different mathematical tools, for instance the Fourier transform, eigenvalue problems or special functions, are all deeply interconnected. Also contained within each chapter are fully worked examples, problems and detailed solutions.

Readership: Students of undergraduate mathematics and postgraduate students of physics or engineering.

340pp Sep 2017978-1-78634-343-7 US$98 £81978-1-78634-344-4(pbk) US$48 £40

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Mathematics 2019

Scattering by Obstacles and Potentialsby Alexander G Ramm (Kansas State University, USA)

This book gives uniqueness theorems for inverse scattering problems when the data are non-over-determined, numerical method for solving inverse scattering problems, a method (MRC) for solving direct scattering problem. This book serves as an introduction to the subject for an audience with various interests: mathematicians, physicists, and engineers interested in the theory. Materials are presented in a simple way and technically difficult proofs are avoided.

Readership: Researchers and graduate students in mathematics, computational mathematics, physics, acoustics, mechanical engineering.

620pp Jan 2018978-981-3220-96-6 US$178 £157

The Global Nonlinear Stability of Minkowski Space for Self-Gravitating Massive Fieldsby Philippe G LeFloch (Université Pierre-et-Marie Curie, France), Yue Ma (Xi'an Jiaotong University, China)

This book is devoted to the Einstein's field equations of general relativity for self-gravitating massive scalar fields. It is the first mathematical result on the global nonlinear stability of matter fields in general relativity. We formulate the initial value problem when the initial data set is a perturbation of an asymptotically flat, spacelike hypersurface in Minkowski spacetime. We then establish the existence of an Einstein development associated with this initial data set, which is proven to be an asymptotically flat and future geodesically complete spacetime. The book provides a framework to treat other matter fields such as the massive Yang-Mills fields which are of particular importance in physics

Readership: Graduate students and researchers interested in mathematical general relativity.

188pp Oct 2017978-981-3230-85-9 US$78 £69

Strong Uniformity and Large Dynamical Systemsby Jozsef Beck (Rutgers University, USA)

It is the first book about a new aspect of Uniform distribution, called Strong Uniformity. Besides developing the theory of Strong Uniformity, the book also includes novel applications in the underdeveloped field of Large Dynamical Systems. It takes the readers from uniform distribution to the time-evolution of large off-equilibrium systems, and discusses the general models as well as results about randomness and stability in equilibrium.

Readership: Researchers in dynamical systems and ergodic theory and statistical physics.

460pp Sep 2017978-981-4740-74-6 US$158 £139

The Wigner Transformby Maurice de Gosson (University of Vienna, Austria)

This book provides an in-depth and rigorous study of the Wigner transform and its variants. They are presented first within a context of a general mathematical framework, and then through applications to quantum mechanics. The Wigner transform was introduced by Eugene Wigner in 1932 as a probability quasi-distribution which allows expression of quantum mechanical expectation values in the same form as the averages of classical statistical mechanics. It is also used in signal processing as a transform in time-frequency analysis, closely related to the windowed Gabor transform.

Readership: Advanced-level students and professors in mathematics and mathematical physics; research mathematicians, engineers and chemists.

252pp May 2017978-1-78634-308-6 US$118 £98978-1-78634-309-3(pbk) US$58 £48

Emergence of the Quantum from the ClassicalMathematical Aspects of Quantum Processesby Maurice de Gosson (University of Vienna, Austria)

This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant h. Recent cosmological observations tend to indicate that not only the fine structure constant but also h might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of h; surprisingly we see that a decrease of h leads to transitions from the quantum to the classical.

Readership: Undergraduate and graduate students of mathematics and physics.

308pp Jan 2018978-1-78634-414-4 US$118 £104

Problems and Solutions in Differential Geometry, Lie Series, Differential Forms, Relativity and Applicationsby Willi-Hans Steeb (University of Johannesburg, South Africa)

This book presents a collection of problems and solutions in differential geometry with applications. Both introductory and advanced topics are introduced in an easy-to-digest manner, with the materials of the volume being self-contained. In particular, curves, surfaces, Riemannian and pseudo-Riemannian manifolds, Hodge duality operator, vector fields and Lie series, differential forms, matrix-valued differential forms, Maurer – Cartan form, and the Lie derivative are covered. Readers will find useful applications to special and general relativity, Yang – Mills theory, hydrodynamics and field theory. Besides the solved problems, each chapter contains stimulating supplementary problems and software implementations are also included.

Readership: Graduate students, lecturers and researchers in differential geometry and its applications.

296pp Dec 2017978-981-3230-82-8 US$78 £69978-981-3232-96-9(pbk) US$48 £42

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Lecture Notes in Topics in Path Integrals and String Representationsby Luiz C L Botelho (Federal Fluminense University, Brazil)

"All are every interesting topics treated with a high level of mathematical sophistication. One of the very useful tricks the author repeatedly resorts to is the introduction of one-parameter families of operators interpolating between two operators which appear naturally in the formalism. From this one-parameter family a differential equation for the determinant (or ratio of determinants) or for correlation functions is derived, which can then be solved. This is a very simple, elegant and powerful technique."

Mathematical Reviews Clippings

Readership: Applied mathematicians, mathematical and theoretical physicists.

244pp Apr 2017978-981-3143-46-3 US$98 £81

LTCC Advanced Mathematics Series - Vol 6Analysis and Mathematical Physicsedited by Shaun Bullett (Queen Mary University of London, UK), Tom Fearn & Frank Smith (University College London, UK)

"Overall this is a very nicely and uniformly written book ... the book’s presentation requires from the reader a fairly high level of mathematical sophistication. This book would be an excellent choice for a lecturer wishing to teach selected branches of mathematical physics." Pure and Applied Geophysics

Readership: Researchers, graduate or PhD mathematical-science students

248pp Feb 2017978-1-78634-098-6 US$98 £81

School Mathematics Textbooks in ChinaComparative Studies and Beyondedited by Jianpan Wang (East China Normal University, China)

Comparative studies of school textbooks cover content selection, compilation style, representation method, design of examples and exercises, mathematics investigation, the use of information technology, and composite difficulty level, to name a few. Other papers included are about representation of basic mathematical thought in school textbooks, a study on the compilation features of elementary school textbooks, and a survey of the effect of using new elementary school textbooks.

Readership: Researchers in mathematics education.

350pp Apr 2019978-981-4713-93-1 US$110 £91978-981-4713-94-8(pbk) US$58 £48

Integrating Computers and Problem Posing in Mathematics Teacher Educationby Sergei Abramovich (State University of New York at Potsdam, USA) 

This book shares ideas about integrating mathematical problem posing with the use of computing technology in the context of K-12 mathematics teacher preparation. To connect theory and practice of mathematical problem posing in the digital era, the book includes examples of problems posed by teacher candidates enrolled in different technology-rich mathematics education courses. These examples are analyzed through the lenses of the proposed theory. It shows how technology can be used to reformulate rather advanced problems from the traditional problem-solving curriculum. The goal of reformulation of such problems is to make them compatible with the modern-day emphasis on democratizing mathematics education, and to find the right balance between positive and negative affordances of technology.

Readership: Mathematics teachers.

240pp Feb 2019978-981-3273-91-7 US$98 £85

The Mathematics Coach Handbookby Alfred S Posamentier (Long Island University, USA), Stephen Krulik (Temple University, USA)

Many schools throughout the United States are now employing coaches to support teachers in the teaching of mathematics. Very often, these are professionals selected from the current teaching ranks who did not receive any special training to serve as a coach. This book provides the skills, knowledge, and lessons from experience that lead such a mentor to function effectively. Aside from describing the basic duties of an effective math coach, we also provide a plethora of resources to enrich instruction, improve problem-solving direction, and provide teachers with a wide variety of techniques to enhance their teaching effectiveness.

Readership: General public, math coaches, math teachers, school leaders.

200pp Dec 2018978-981-3271-70-8 US$88 £75

The Principles of Newtonian and Quantum Mechanics (2nd Edition)The Need for Planck’s Constant, hby Maurice A de Gosson (University of Vienna, Austria)

This book deals with foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. Topics have been revised and augmented in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed. The mathematical tools developed are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of "metatron" is introduced, in connection with the Bohmian theory of motion.

Readership: Reserchers and graduate students in mathematical physics and physics.

424pp Jan 2017978-981-3200-96-8 US$158 £131

MATHEMATICS EDUCATION

NOTABLE BACKLIST

Feynman MotivesMatilde Marcolli (California Institute of Technology, USA)

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Mathematics 2019

Bestselling Series

Theoretical and Practical Pedagogy of Mathematical Music TheoryMusic for Mathematics and Mathematics for Musicians, From School to Postgraduate Levelsedited by Mariana Montiel (Georgia State University, USA), Francisco Gómez (Universidad Politécnica de Madrid, Spain)

New general education courses in Music and Mathematics are being developed and are arising at the university level, as well as for high school and general audiences without requiring a sophisticated background in either music nor mathematics. Mathematical Music Theorists have also been developing exciting, creative courses for high school teachers and students of mathematics. These courses and projects have been implemented in the USA, in China, Ireland, France, Australia, and Spain. This volume shares the motivation and content of these exciting, new Mathematical Theory and Music in Mathematics courses while contributing concrete materials.

Readership: Students, teachers, researchers. Also a library reference.

250pp Nov 2018978-981-3228-34-4 US$108 £95

Mathematics and its Teaching in the Muslim Statesedited by Bruce R Vogeli (Columbia University, USA), Mohamed El Tom (Khartoum Technical University, Sudan)

This anthology reviews the history, current states, and plans for the development of mathematics education in the Muslim States in Africa, the Middle East, and Asia. There is an introduction by Ahmed Djebbar, the most prominent contemporary scholar of Muslim mathematics. The chapters are written by respective national experts in mathematics education.

Readership: Researchers, policy makers, politicians and general public interested in mathematics education in Muslim states.

300pp Feb 2019978-981-3146-77-8 US$128 £106

Mathematics and its Teaching in the Asia-Pacific Regionedited by John Mack (Sydney University, Australia), Bruce Vogeli (Columbia University, USA)

This book provides the global mathematics education community with information on the recent and current status of the teaching of mathematics in a group of island nations in the Asia-Pacific region. Sri Lanka, Indonesia, Japan, the Philippines, Australia, Papua New Guinea, New Zealand, and twelve nations in the South Pacific Ocean. The lead chapter authors are well-known and respected professionals within their own nations and among the wider professional community.

Readership: Researchers, policy makers, politicians and general public interested in mathematics education in Asia-Pacific region.

320pp Oct 2018978-981-3272-12-5 US$148 £130

K-12 Mathematics Education in IsraelIssues and Innovationsedited by Nitsa Movshovitz-Hadar (Technion – Israel Institute of Technology, Israel)

The book provides the reader with a multifaceted picture of mathematics education in Israel, put into an international perspective where relevant. It is intended to give an overview of a wide range of topics covering issues such as raising and maintaining motivation, search for excellence, treatment of difficulties, teacher education, language issues, minorities issues, curriculum changes over the first 70 years of the state of Israel, and many more. This includes aspects of research and practice into the teaching and learning of mathematics, innovation, developments, policy, achievements, and implementation with some international comparison as well.

Readership: General public, students, mathematics educators, researchers, educational policy makers.

460pp Apr 2018978-981-3231-18-4 US$162 £145

Mathematics Instruction: Goals, Tasks and Activitiesedited by Pee Choon Toh & Boon Liang Chua (NTU, Singapore)

This book comprises 14 chapters written by renowned researchers in mathematics education. The chapters offer mathematics teachers a cache of teaching ideas and resources for classroom instruction. Readers will find various task design principles, examples of mathematical tasks used in classrooms and teaching approaches to implement the tasks. Through these discussions, readers are invited to reflect and rethink their beliefs about mathematics teaching and learning in the 21st century, and reexamine the tasks and activities that they use in the classroom, in order to bring about positive impact on students' learning of mathematics.

Readership: Graduate students, researchers, and teachers in mathematics.

288pp Jul 2018978-981-3271-66-1 US$98 £85

Empowering Mathematics Learnersedited by Berinderjeet Kaur & Ngan Hoe Lee (NTU, Singapore)

This book contributes towards the literature in the field of mathematics education, specifically on aspects of empowering learners of mathematics. The book, comprising eighteen chapters, written by renowned researchers in mathematics education, provides readers with approaches and applicable classroom strategies to empower learners of mathematics. The chapters in the book can be classified into four sections. The four sections focus on how learners could be empowered in their learning, cognitive and affective processes, through mathematical content, purposefully designed mathematical tasks, whilst developing 21st century competencies.

Readership: Graduate students, researchers, and teachers in mathematics.

396pp Jun 2017978-981-3224-21-6 US$78 £69

Series on Mathematics Education

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WORLD SCIENTIFIC

Tools to Help Your Children Learn MathStrategies, Curiosities, and Stories to Make Math Fun for Parents and Childrenby Alfred S Posamentier, Gavrielle Levine, Aaron Lieberman (Long Island University, USA) & Danielle Sauro

Parents need to take an ever-increasing role in their child's learning experience. However, what to do and how to do it is often not prescribed to the parents. This book offers a wide variety of aspects related to the parent's role as a support to their child's learning of mathematics, and above all appreciation for the subject. The uniqueness of this book is that we provide the parent the information they need about how mathematics is taught in today's early grades. We then provide a plethora of ideas that can motivate children with information beyond that which is taught in the classroom.

Readership: Parents and general public.

300pp Dec 2018978-981-3271-42-5 US$88 £75978-981-3272-47-7(pbk) US$38 £35

Elementary School Mathematics for Parents and Teachersby Raz Kupferman (The Hebrew University, Israel)

This book covers the elementary school mathematics curriculum common in most parts of the world. Its aim is to serve educators (teachers and parents) as a guide for teaching mathematics at elementary school level. The book focuses both on content knowledge and on pedagogical content knowledge. It bridges the gap between fundamental mathematical principles and good teaching practices. It also offers the reader a glimpse on how mathematicians perceive elementary mathematics and presents ideas for specific mathematical activities.

Readership: Elementary school teachers; parents of elementary school children

Volume 1268pp Dec 2015978-981-4699-90-7 US$78 £65978-981-4699-91-4(pbk) US$38 £32

Volume 2304pp May 2017978-981-3108-92-9 US$98 £81978-981-3108-93-6(pbk) US$48 £40

Diversifying Mathematics TeachingAdvanced Educational Content and Methods for Prospective Elementary Teachersby Sergei Abramovich (State University of New York at Potsdam, USA)

"Abramovich’s book is unique in terms of variety ... a strength of this book is that it includes many different content areas. This book exemplifies high quality teaching of teachers. It is the epitome of ‘practice what you preach, ’ and would be an excellent resource for pre-service and in-service teachers, as well as graduate students who are studying mathematics teaching from a theoretical perspective." Prof Susanne Strachota (University of Wisconsin – Madison, USA)

Readership: Mathematics teachers, practicing teachers of elementary mathematics.

284pp Apr 2017978-981-3206-87-8 US$98 £81978-981-3208-90-2(pbk) US$48 £40

Teaching Children to Love Problem SolvingA Reference from Birth through Adulthoodby Terri Germain-Williams (Mercy College, USA)

This book was developed with the caring and concerned adult in mind and is a one-stop for anyone who would like to help a child develop problem solving thinking. They will become adept at the use of problem solving strategies over the course of their development from birth. For each age range, this book provides developmental information, relevant mathematical concepts, sample problems with multiple solutions, and finally activities to engage with as a family in order to develop mathematical thinking and problem solving skill.

Readership: Teachers and parents for the children.

140pp Jul 2017978-981-3209-82-4 US$58 £48978-981-3208-79-7(pbk) US$24 £20

A Problem Solving Approach to Supporting Mathematics Instruction in Elementary School A Guide for Parents, Teachers, and Studentsby Sheldon Rothman (Long Island University Post, USA) 

The book takes a problem-solving approach to learning elementary school mathematics, and develops many concepts using patterns established by examples. It includes both standard and non-standard problems, examples, and exercises, some of which are quite challenging while others are mainly for reinforcement. The book is written in a relaxed style and includes quotations about mathematics, very brief biographies of the mathematicians who made these quotes — each of which includes a fun fact about the person. Interesting and often surprising facts on the applications of mathematics are also included.

Readership: Elementary school teachers and parents.

250pp Jun 2019978-981-3274-81-5 US$58 £48978-981-3275-95-9 US$38 £32

Problem Solving in Mathematics and Beyond

w NOTABLE BACKLIST

Motivating MathematicsDavid Wells (Fox & Howard Literary Agency, UK)

How Chinese Learn MathematicsFan Lianghuo (NTU, Singapore), Wong Ngai-Ying (The Chinese University of Hong Kong), Cai Jinfa (The University of Delaware, USA), Li Shiqi (East China Normal University)

Problem-Solving Strategies in Mathematics: From Common Approaches to Exemplary Strategies Alfred S Posamentier (Mercy College New York, USA), Stephen Krulik (Temple University, USA)

Mathematics Problem-Solving Challenges for Secondary School Students and BeyondDavid Linker & Alan Sultan (City University of New York, USA)

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Mathematics 2019

High Accuracy Algorithm for the Differential Equations Governing Anomalous DiffusionAlgorithm and Models for Anomalous Diffusionby Weihua Deng & Zhijiang Zhang (Lanzhou University, China)

The book first introduces 'anomalous diffusion' from the statistical physics point of view, then discusses the models characterizing anomalous diffusion and its applications, including the Fokker – Planck equation, the Feymann – Kac equations describing the functional distribution of the anomalous trajectories of the particles, and also the microscopic model — Langevin type equation. The second main part focuses on providing the high accuracy schemes for these kinds of models, and the corresponding convergence and stability analysis.

Readership: Graduate students and researchers in Numerical Analysis, Integral & Differential Equations, Statistical Physics, Computational Physics.

350pp Sep 2018978-981-3142-20-6 US$128 £106

A New Method of Constructing Brakke’s Motionby Kazuhiro Horihata (Tohoku University, Japan)

The paper entitled "Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature" by T Ilmanen constructs Brakke's motion from Allen-Cahn equation, which is one of the measure theoretic approaches to motion by mean curvature. This book proposes a new idea that involves a new equation of the Allen-Cahn type to construct Brakke's motion and explains how to construct it through Ilmanen's approach as easily as possible.

Readership: Researchers in calculus of variations and optimal control, PDE, ODE, integral equations, differential geometry.

400pp Aug 2019978-981-3228-58-0 US$138 £121

Optimization in an ACORNWith Applications to Deep Learningby Martin J Lee (Stanford), Ken Tsang (United International College, China)

A simple algorithm for solving a set of nonlinear equations by matrix algebra has been discovered recently — first by transforming them into an equivalent matrix equation and then finding the solution analytically in terms of the inverse matrix of this equation. With this newly developed ACORN (Adaptive Constrained Optimal Robust Nonlinear) algorithm, it is possible to minimize the objective function [constructed from the functions in the nonlinear set of equations] without computing its derivatives. This book presents the details of ACORN algorithm and how it is used to solve large scale nonlinear equations with an innovative approach ACORN Magic [minimization algorithms gathered in a cloud].

Readership: Students and researchers of optimization.

200pp Jan 2019978-981-3271-51-7 US$58 £50

Explorations in Numerical Analysisby James V Lambers & Amber C Sumner (The University of Southern Mississippi, USA)

This textbook provides the reader an experience that is more conducive to arousing interest in numerical analysis, thereby enhancing understanding. This is to be accomplished by giving the reader a more hands-on experience with the material than existing textbooks through MATLAB exercises. These exercises augment the text with visualization and experimentation in order to involve the reader in the derivation, analysis, and implementation of each algorithm. Readers will understand through a combination of exposition about the evolution of problem-solving techniques and the theoretical results, and coding exercises and demonstrations to illustrate this evolution.

Readership: Advanced undergraduate and graduate students.

500pp Sep 2018978-981-3209-96-1 US$118 £98978-981-3209-97-8(pbk) US$68 £56 Optimization Theory

A Concise Introductionby Jiongmin Yong (University of Central Florida, USA)

This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush – Kuhn – Tucker method, Fritz John's method, problems with convex or quasi-convex constraints, and linear programming with geometric method and simplex method. The theoretic results and examples have been balanced. All the major theorems are companioned by its proof and some examples. This enables readers to proceed to learn how to use the theorems from the examples.

Readership: Undergraduates; graduates and researchers in optimization theory.

236pp Jul 2018978-981-3237-64-3 US$78 £69

Elements of Numerical Analysis with Mathematicaby John Loustau (Hunter College, City University of New York, USA)

Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included. It includes Monte Carlo method, FDM and numerical ODE methods. The emphasis is geared toward the two major developing areas of applied mathematics, mathematical finance and mathematical biology.

Readership: Undergraduate and master students.

164pp Nov 2017978-981-3224-15-5 US$68 £60978-981-3222-71-7(pbk) US$32 £28

NUMERICAL ANALYSIS& APPROXIMATION

w NOTABLE BACKLIST

Introduction to the Calculus of Variations (3rd Edition)Bernard Dacorogna (Ecole Polytechnique Fédérale Lausanne, Switzerland)

Moments, Positive Polynomials and Their ApplicationsJean Bernard Lasserre (LAAS-CNRS & Institute of Mathematics, University of Toulouse, France)

w NOTABLE BACKLIST

Meshfree Approximation Methods with Matlab Gregory E Fasshauer (Illinois Institute of Technology, USA)

OPTIMIZATION & CONTROL

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WORLD SCIENTIFIC

PROBABILITY & STATISTICS

Multifractional Stochastic FieldsWavelet Strategies in Multifractional Frameworksby Antoine Ayache (Université Lille 1, France)

In order to sharply determine path behavior of Multifractional and Anisotropic Fields, a wavelet strategy, which can be considered to be new in the probabilistic framework, has been developed since the end of the 90’s. It is somehow inspired by some rather non-standard methods, related to the fine study of Brownian Motion roughness, through its representation in the Faber – Schauder system. This book presents the motivations behind this wavelet strategy, and to explain how it can be applied to some more or less classical examples of Multifractional and Anisotropic Fields. It discusses some topics concerning them which are not directly related to the wavelet strategy, namely their self-similarity property and statistical inference for them.

Readership: Researchers in probability and statistics, real analysis and stochastic analysis.

250pp Jan 2019978-981-4525-65-7 US$113 £94

Introduction to Stochastic Processesby Mu-Fa Chen & Yong-Hua Mao (Beijing Normal University, China)

This book introduces the elements of stochastic processes in a rather concise manner — Markov chains and stochastic analysis. Readers are lead directly to the core of the topics, and further details are collated in a section containing abundant exercises and more materials for further reading and studying. In Markov chains, the core is the ergodicity. By using the minimal non-negative solution method, we deal with the recurrence and various ergodicity. In stochastic analysis, we cover the martingale theory and Brownian motions, the stochastic integral and stochastic differential equations with emphasis on one dimension, and the multidimensional stochastic integral and stochastic equation based on semimartingales. This volume features modern probability theory that is used in the non-random fields, such as MCMC, convex geometry and number theory.

Readership: Advanced undergraduate and graduate students in stochastic processes.

280pp Mar 2019978-981-4740-30-2 US$78 £65

Probability Models and Applications (Revised 2nd Edition)by Ingram Olkin (Stanford), Leon J Gleser (University of Pittsburgh, USA) & Cyrus Derman (Columbia University, USA)

This textbook has as its unifying theme the role that probability models have had, and continue to have, in scientific and practical applications. It includes many examples, with actual data, of real-world use of probability models, while expositing the mathematical theory of probability at an introductory calculus-based level. Detailed descriptions of the properties and applications of probability models that have successfully modeled real phenomena are given, as well as an explanation of methods for testing goodness of fit of these models. Readers will receive a firm foundation in techniques for deriving distributions of various summaries of data.

Readership: Undergraduates in probability models, concepts and applications.

734pp Sep 2018978-981-3202-03-0 US$158 £131978-981-3202-04-7(pbk) US$78 £65

Random ProcessesFirst-Passage and Escapeby Jaume Masoliver (University of Barcelona, Spain)

Random processes are one of the most powerful tools in the study and understanding of countless phenomena in natural and social sciences. The book is a complete medium-level introduction to the subject. The book is written in a clear and pedagogical manner but with enough rigor and scope that can appeal to both students and researchers. This book is addressed to advanced students and professional researchers in many branches of science where level crossings and extremes appear but with some particular emphasis on some applications in socio-economic systems.

Readership: Advanced students, researchers.

350pp Aug 2018978-981-3225-31-2 US$128 £113

Estimations and Tests in Change-Point Modelsby Odile Pons (INRA, National Institute for Agronomical Research, France)

This book provides a detailed exposition of the specific properties of methods of estimation and test in a wide range of models with changes. They include parametric and nonparametric models for samples, series, point processes and diffusion processes, with changes at the threshold of variables or at a time or an index of sampling. It contains many new results and fills a void in statistics literature, where the asymptotic properties of the estimators and test statistics in singular models are not sufficiently developed.

Readership: Graduate students and researchers in statistics, governmental laboratories and academia.

304pp Jul 2018978-981-3231-76-4 US$118 £104

Robust Mixed Model Analysisby Jiming Jiang (UC Davis)

Mixed-effects models have found broad applications in various fields. As a result, the interest in learning and using these models is rapidly growing. This research monograph provides a comprehensive account of methods of mixed model analysis that are robust in various aspects, such as violation of model assumptions, or to outliers. It covers a wide range of mixed-effects models, including linear mixed models, generalized linear mixed models, semi-parametric and non-parametric mixed models. It considers different aspects of mixed model analysis, ranging from estimation to tests, and to prediction and model selection.

Readership: Graduate students and researchers in statistics and biostatistics. And also those who routinely use mixed-effects models in the fields of genetics, medicine, agriculture, education, and surveys.

220pp Aug 2019978-981-4733-83-0 US$106 £88

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Mathematics 2019

Statistical Data Scienceedited by Niall Adams & Edward Cohen (Imperial College London, UK)

As an emerging discipline, data science broadly means different things across different areas. Exploring the relationship of data science with statistics, a well-established and principled data-analytic discipline, this book provides insights about commonalities in approach, and differences in emphasis. Featuring chapters from established authors in both disciplines, the book also presents a number of applications.

Readership: Statisticians, mathematicians, computer scientists, data scientists, application users of data science and statistics.

192pp Jun 2018978-1-78634-539-4 US$88 £75

Probability and Random NumberA First Guide to Randomnessby Hiroshi Sugita (Osaka University, Japan)

This is a book of elementary probability theory that includes a chapter on algorithmic randomness. It rigorously presents definitions and theorems in computation theory, and explains the meanings of the theorems by comparing them with mechanisms of the computer. The notion of random number is necessary for understanding the essential relation between probability and randomness. The field of probability has changed very much, thus this book will make and leave a big impact even to expert probabilists. Readers from applied sciences will benefit from this book because it presents a very proper foundation of the Monte Carlo method with practical solutions, keeping the technical level no higher than 1st year university calculus.

Readership: First year university students to professionals.

140pp Dec 2017978-981-3228-25-2 US$48 £42

White Noise Analysis and Quantum Informationedited by Luigi Accardi (Università di Roma Tor Vergata, Italy), Louis H Y Chen (NUS, Singapore), Takeyuki Hida (Nagoya University & Meijo University, Japan), Masanori Ohya (Tokyo University of Science, Japan), Si Si (Aichi Prefectural University, Japan & Yangon University, Myanmar) & Noboru Watanabe (Tokyo University of Science, Japan)

This volume is to pique the interest of many in infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. Readers will find all the exciting contributions by well-known researchers in search of new directions in these fields.

Readership: Mathematicians, physicists, biologists, information scientists, advanced undergraduates, and graduate students.

244pp Oct 2017978-981-3225-45-9 US$98 £86

Nonconventional Limit Theorems and Random Dynamicsby Yeor Hafouta & Yuri Kifer (Hebrew University of Jerusalem, Israel)

The book is devoted to limit theorems for nonconventional sums and arrays. Asymptotic behavior of such sums were first studied in ergodic theory but recently it turned out that main limit theorems of probability theory, such as central, local and Poisson limit theorems can also be obtained for such expressions. In order to obtain sufficiently general local limit theorem, we develop also thermodynamic formalism type results for random complex operators, which is one of the novelties of the book.

Readership: Advanced graduate students and researchers in probability theory, stochastic processes, dynamical systems and ergodic theory.

300pp Jun 2018978-981-3235-00-7 US$98 £86

Nonparametric StatisticsTheory and Methodsby Jayant V Deshpande, Uttara Naik-Nimbalkar (University of Pune, India) & Isha Dewan (Indian Statistical Institute)

This book will introduce various types of data encountered in practice and suggest the appropriate nonparametric methods, discuss their properties through null and non-null distributions whenever possible and demonstrate the very minor loss in power and efficiency in the nonparametric method, if any. The book will cover almost all topics of current interest such as bootstrapping, ranked set sampling, techniques for censored data and Bayesian analysis under nonparametric set ups.

Readership: Graduate and senior undergraduate students of statistics.

280pp Dec 2017978-981-4663-57-1 US$98 £86

Statistics and Experimental Design for PsychologistsA Model Comparison Approachby Rory Allen (Goldsmiths, University of London, UK)

This is the first textbook for psychologists which combines the model comparison method in statistics with a hands-on guide to computer-based analysis and clear explanations of the links between models, hypotheses and experimental designs. It covers the main statistical methods up to multifactorial and repeated measures, ANOVA and the basic experimental designs associated with them. The online supplementary material extends this coverage to multiple regression, exploratory factor analysis, power calculations and other more advanced topics, and provides screencasts demonstrating the use of programs on a standard statistical package, SPSS.

Readership: Students of undergraduate and graduate level psychology, and academics involved in research.

472pp Oct 2017978-1-78634-064-1 US$110 £91978-1-78634-065-8(pbk) US$58 £43

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WORLD SCIENTIFIC

Expect the Unexpected (2nd Edition)A First Course in Biostatisticsby Raluca Balan & Gilles Lamothe (University of Ottawa, Canada)

This textbook introduces the basic concepts from probability theory and statistics which are needed for statistical analysis of data encountered in the biological and health sciences. No previous study is required. Advanced mathematical tools are kept minimal. The emphasis is put on examples. Probabilistic methods are discussed at length, but the focus is on statistics. This edition contains additional topics such as power, sample size computation and non-parametric methods, and includes a large collection of new problems and answers to odd-numbered problems. Several sections are accompanied by instructions using the programming language R for statistical computing and graphics.

Readership: Undergraduates studying probability and statistics, especially in the life and natural sciences.

316pp Jul 2017978-981-3209-05-3 US$88 £73

Statistical Data Fusionby Benjamin Kedem (University of Maryland, College Park, USA), Victor De Oliveira (University of Texas at San Antonio, USA) & Michael Sverchkov

This book comes up with estimates or decisions based on multiple data sources as opposed to more narrowly defined estimates or decisions based on single data sources. And as the world is awash with data obtained from numerous and varied processes, there is a need for appropriate statistical methods which in general produce improved inference by multiple data sources. The book contains numerous examples useful to practitioners from genomics. Topics range from sensors (radars), to small area estimation of body mass, to the estimation of small tail probabilities, to predictive distributions in time series analysis.

Readership: Graduate students, researchers, practitioners of statistics, engineers, scientists.

200pp Mar 2017978-981-3200-18-0 US$98 £81

Inference, Asymptotics, and Applicationsedited by Nancy Reid (University of Toronto, Canada), Torben Martinussen (University of Copenhagen, Denmark)

Key Features: • A comprehensive look at a number of important

developments in the theory of asymptotic inference

• An overview of a career that successfully combined important collaborative work in applied fields with highly advanced mathematical results

• Serves as a model of writing style that is concise, exceptionally clear, wide-ranging and inspiring

Readership: Graduate students and researchers.

364pp May 2017978-981-3207-87-5 US$138 £115

Let Us Use White Noiseedited by T Hida (Nagoya University & Meijo University, Japan), L Streit (University of Bielefeld, Germany & University of Madeira, Portugal)

Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by "time". In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer.

Readership: Researchers in probability theory.

232pp May 2017978-981-3220-93-5 US$98 £81

Risk TheoryA Heavy Tail Approachby Dimitrios G Konstantinides (University of the Aegean, Greece)

This book is written to help graduate students and young researchers to enter quickly into the subject of Risk Theory. It can also be used by actuaries and financial practitioners for the optimization of their decisions and further by regulatory authorities for the stabilization of the insurance industry. The topic of extreme claims is especially presented as a crucial feature of the modern ruin probability.

Readership: Researchers in probability and statistics, mathematical economics/game theory/operations research.

508pp Sep 2017978-981-3223-14-1 US$169 £149

Simulating Copulas (2nd Edition)Stochastic Models, Sampling Algorithms, and Applicationsby Jan-Frederik Mai (XAIA Investment AG, Germany), Matthias Scherer (Technische Universität München, Germany)

"The book is essentially self-contained, as the reader interested in copulas from the simulation point of view will find all necessary material in it, including an introduction to copulas if he has never been exposed to them. Both the theoretical and practical frameworks emerge quite clearly from the book. In any case, the rich bibliography contains all the references required for further in-depth analyses of specific issues. I think that the authors did a very good job, filling a gap in the statistical literature and providing a contribution that is going to be particularly helpful to statisticians without a specific background in copulas." Mathematical Reviews

Readership: Advanced undergraduate and graduate students, practitioners in financial industry and scientists.

356pp Aug 2017978-981-3149-24-3 US$118 £98

w NOTABLE BACKLIST

Extreme Value Distributions Samuel Kotz (The George Washington University, USA), Saralees Nadarajah (The University of Nottingham, UK)

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Mathematics 2019

Venusian Casino JunketsAnd Other Essays in Mathematics and the Probabilities of Gamblingby Leslie M Golden (University of Illinois at Chicago, USA)

The perfect coffee table book or gift, this book presents entertaining yet authoritative essays on intriguing concepts in mathematics as well as potentially lucrative essays on blackjack, roulette, and craps. You'll feel your intellect massaged and your funny-bone tickled as you read about such subjects as math literacy, logical errors, matrix cryptology, the Fibonacci sequence, the Golden Rectangle, and the economic cost of stupid laws. You'll be casino-empowered as you learn about lotteries, how dice are loaded, the Magic Circle strategy for roulette, the Golden Diagram system for blackjack, and effective acting techniques to camouflage the fact that you are a card counter at blackjack.

Readership: General public. 140pp Feb 2019978-981-3230-11-8 US$50 £44978-981-3231-41-2(pbk) US$28 £25

Navigating across Mathematical Cultures and TimesExploring the Diversity of Discoveries and Proofsedited by Ioannis M Vandoulakis (The Hellenic Open University, Greece), Dun Liu (Chinese Academy of Sciences, China)

This volume explores how mathematical propositions are discovered, how they are demonstrated in various mathematical cultures — ancient Greece, classical Islam, medieval and modern Europe, India, China, and pre-modern Japan — and how they are shaped in texts and stylistic traditions. Topics of the discussions include the visual and axiomatic modes of reasoning in ancient Greece, algebraic demonstrations in classical Islam, algorithmic procedures in India and China, demonstrations and counter-arguments in mathematical analysis in modern Europe, and reasoning by induction in ancient Greece and pre-modern Japanese mathematics (Wasan).

Readership: Undergraduates and graduate students in mathematics/and science; Mathematicians; Historians & Philosophers

600pp Feb 2019978-981-4689-36-6 US$113 £94

The Paper Puzzle BookAll You Need is Paper!by Ilan Garibi, David Goodman & Yossi Elran

"This is a marvellous book. The diversity of possible puzzles that can be given with these very limited resources, which are basically some paper and scissors, is overwhelming, and the challenges are sometimes very tough. Even the two-star problems may be hard for an untrained puzzler."

European Mathematical Society

Readership: Puzzle and riddle lovers, and origami enthusiasts.

264pp Mar 2018978-981-3202-40-5 US$48 £42978-981-3202-41-2(pbk) US$28 £25

In the Search for Beautyby Voldemar Smilga 

This is a popular book that chronicles the historical attempts to prove the fifth postulate of Euclid on parallel lines that led eventually to the creation of non-Euclidean geometry. It presents a very clear description of the foundations of Euclidean and non-Euclidean geometry written in simple terms and accessible to any reader with a high school certificate. But besides the mathematics, the book is also devoted to human stories about the people, brilliant mathematicians starting from Pythagoras and terminating with Gauss, Lobachevsky and Klein who first tried to prove the fifth postulate .

Readership: All students, historians and researchers interested in mathematics.

350pp Oct 2018978-981-3274-35-8 US$78 £70

The Tangram Puzzle BookA New Approach to the Classic Piecesby David Goodman, Ilan Garibi

THE TANGRAM One of the oldest types of dissection puzzles in the world LEARN WHILE PLAYING Play with symmetry puzzles, cover-up puzzles and self-similarity puzzles to increase your skill and mental acuity!NEW PUZZLE DESIGNS The authors utilize a creative twist in this collection and with this slight change to the rules, an entirely new universe of Tangram puzzles and challenges is unleashed to delight the puzzle solver!PROVIDES HOURS OF FUN Puzzles range in difficulty to suit various levels of puzzle enthusiasts.

Readership: Puzzle and riddle lovers.

164pp Jul 2018978-981-3234-00-0 US$48 £40978-981-3235-20-5(pbk) US$28 £25

POPULAR & RECREATIONAL MATHEMATICS

The Soma Puzzle Book A New Approach to the Classic Piecesby David Goodman, Ilan Garibi 

The Soma cube is one of the most famous mechanical puzzles in the world. The main challenge is to build a cube or other structures from all seven pieces. The puzzles in this collection use the pieces as building blocks only, and showcases many versatile challenges, from all types of recreational mathematics fields. From the moment we changed the rules — we felt that the sky is the limit! There is something magical and enchanting in those seven pieces that enabled us to find many puzzles and challenges!

Readership: Puzzle and riddle lovers.

166pp Jun 2019978-981-3275-31-7 US$48 £40978-981-3275-94-2 US$28 £25

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WORLD SCIENTIFIC

The Story of Numbersby Asok Kumar Mallik (Indian Institute of Engineering Science and Technology, Shibpur, India)

"The book is intended to convey to high school students or other interested laypeople some new and interesting things about numbers. It’s also a useful book for faculty members to have on their shelves; they may find the book a useful collection of interesting information with which to spice up a lecture." Mathematical Association of America Reviews

Readership: Elementary, secondary, high school students and non-mathematicians.

196pp Oct 2017978-981-3222-92-2 US$48 £42

KenKen: Math & Logic Puzzles That Will Make You Smarter!edited by Robert Fuhrer (KenKen Puzzle LLC, USA)

KenKen is the world's fastest growing puzzle since sudoku. It was developed in a Japanese Classroom in 2004 by renowned educator, Tetsuya Miyamoto, and was later introduced internationally as both an adult and educational math and logic puzzle in 2008. Originally intended to improve reasoning, creativity, concentration, and perseverance, this simple yet sophisticated puzzle has since expanded beyond the classroom into a global sensation. KenKen can be found daily in The New York Times and is now available in over 200 publications worldwide. Unlimited KenKen puzzles can be accessed on www.kenkenpuzzle.com and can also be played on mobile devices via the KenKen Classic app. It is supported by the National Council of Teachers of Mathematics (NCTM), the world's largest math education organization, and is used by over 30,000 educators worldwide.

Readership: Puzzle lovers, math and logic aficionados, and anyone who enjoys exercising their brain on a regular basis or who is interested in improving their thought processes, problem solving, children's growth, and cognitive entertainment. Good for all ages!

The KenKen Method — Daily Challenge365 Puzzles and Solutions to Make You Smarter340pp Apr 2019978-981-3236-68-4 US$48 £42978-981-3235-87-8(pbk) US$14 £12

The KENKEN Method — Intermediate Book150 Puzzles and Solutions to Make You Smarter160pp Apr 2019978-981-3236-67-7 US$38 £33978-981-3235-84-7(pbk) US$9 £8

The KENKEN Method — Puzzles for Beginners150 Puzzles and Solutions to Make You Smarter128pp Mar 2018978-981-3232-55-6(pbk) US$9 £8

A Lady Mathematician in this Strange Universe: Memoirsby Yvonne Choquet – Bruhat (University Pierre et Marie Curie & French Academy of Sciences, France & American Academy of Arts and Sciences, USA)

At once reflective, enlightening and bittersweet, this book allows readers a look into the life and thought processes of an esteemed female academic, and distinguished mathematician and physicist, Yvonne Choquet – Bruhat. She recounts and reflects upon various key events and people from her life. She recalls conversations, collaborations and even arguments shared with many great scientists, including her experiences with Albert Einstein. She also describes her trips around the world, spurred by a passion for travel, beauty and mathematics.

Readership: Anyone with an interest in the life of an accomplished mathematician and theoretical physicist.

364pp Feb 2018978-981-3231-62-7 US$88 £77

Ernest Irving Freese’s Geometric TransformationsThe Man, the Manuscript, the Magnificent Dissections!by Greg N Frederickson (Purdue University, USA)

"Everyone interested in geometric dissections, and this kind of puzzles, either mathematically or recreationally will embrace this publication. But also the readers interested in the history and certainly those who became curious about this mystery man and his manuscript, after reading Frederickson’s 2006 book, will be fully satisfied with this respectful reproduction eventually made available for a general public." European Mathematical Society

Readership: General public and math puzzle enthusiasts.

432pp Jan 2018978-981-3220-46-1 US$98 £81978-981-3220-47-8(pbk) US$38 £32 w NOTABLE BACKLIST

Problems for Metagrobologists: A Collection of Puzzles with Real Mathematical, Logical or Scientific Content David Singmaster

Mathematics, Poetry and Beauty Ron Aharoni

The Magic Garden of George B and Other Logic Puzzles Raymond Smullyan

Number Treasury3Margaret J Kenney & Stanley J Bezuszka (Boston College, USA)

The Mathematics That Power Our World: How Is It Made?Joseph Khoury & Gilles Lamothe (University of Ottawa, Canada)

Origamics: Mathematical Explorations Through Paper FoldingKazuo Haga (University of Tsukuba, Japan)

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Mathematics 2019

A Central European Olympiad The Mathematical Duelby Robert Geretschläger (BRG Keplerstrasse, Graz, Austria), Józef Kalinowski (University of Silesia in Katowice, Poland), Jaroslav Švrek (Palacký University, Olomouc, Czech Republic) 

This book contains the most interesting problems from the first 24 years of the "Mathematical Duel", an annual international mathematics competition. Problems are presented by topic, grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for olympiad-style competitions. Above all, it is of interest to students preparing for mathematics competitions as well as teachers looking for material to prepare their students, as well as mathematically interested enthusiasts looking for an intellectual challenge.

Readership: General public, students and teachers preparing for olympiad-style mathematical competitions

292pp Jan 2018978-981-3226-16-6 US$68 £60 978-981-3223-90-5(pbk) US$38 £33

Trigonometric Functions and Complex NumbersIn Mathematical Olympiad and Competitionsby Desheng Yang & translated by Chunhui Shen (Shanghai Xiangming High School, China)

This book covers trigonometric identity, graphs and properties of trigonometric equations, inverse trigonometric functions and trigonometric equations, solutions of triangles, trigonometric substitution and trigonometric inequality; the concept and operation of complex numbers, trigonometric form of a complex number, complex number and equation. The contents are essential for the Mathematical Olympiad.

Readership: School students keen to learn more of mathematics; coaches and instructors of mathematical competitions.

424pp Feb 2017978-1-938134-76-0 US$70 £58978-1-938134-86-9(pbk US$38 £32

Other resources:• Lecture Notes on Mathematical Olympiad Courses (Junior & Senior Section)• A First Step to Mathematical Olympiad Problems• A Second Step to Mathematical Olympiad Problems• Problems of Number Theory • Graph Theory• Combinatorial Problems • Methods and Techniques for Proving Inequalities• Probability and Expectation• Combinatorial Extremization• Geometric Inequalities• Mathematical Olympiad in China (2003 – 2006, 2007-2008, 2009-2010)• Vietnamese Mathematical Olympiad (1962 – 2009)

Solving Problems in GeometryInsights and Strategies for Mathematical Olympiad and Competitionsby Kim Hoo Hang (NTU, Singapore), Haibin Wang (NUS High School of Mathematics and Science, Singapore)

Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. Each chapter includes sufficient scaffolding and is comprehensive enough for self-study.

Readership: Students, educators and general public interested in geometry and topology.

356pp Jul 2017978-981-4590-72-3 US$58 £48978-981-4583-74-9(pbk) US$34 £28

Algebraic InequalitiesIn Mathematical Olympiad and Competitionsby Ji Chen (Ningbo University, China), Chaocheng Ji (Ningbo High School, China) & translated by Chaocheng Ji (Ningbo High School, China), Huyue Shen & Ruhe Wang (Zhenhai High School, China)

This book serves as a good reference in the field of algebraic inequalities as faced in problems found in a Mathematical Olympiad. It is currently the hot topic in Mathematical Olympiad. It is also the basis of geometric inequalities. In addition, the book involves some analysis on inequality.

Readership: School students keen to learn more of mathematics and specifically mathematics related to the IMO; coaches and instructors of mathematical competitions.

200pp Aug 2018978-1-938134-95-1 US$68 £56978-1-938134-92-0(pbk) US$38 £32

Mathematical Olympiad and Competition Resource

Mathematical Olympiad in China (2011 – 2014)Problems and Solutionsedited by Bin Xiong (East China Normal University, China), Peng Yee Lee (NTU, Singapore)

This book includes the problems and solutions of the most important mathematical competitions from 2010 to 2014 in China. These problems are almost exclusively created by the experts who are engaged in mathematical competition teaching and researching. Some solutions are from the national training team and national team members.

Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts.

368pp May 2018978-981-3143-74-6 US$78 £65978-981-3142-93-0(pbk) US$38 £32

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37

WORLD SCIENTIFIC

Proceedings

2017 Frontlist

TITLE AUTHOR PUB DATE ISBN13 US$ £

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS 2018 (ICM 2018) (IN 4 VOLUMES) SIRAKOV BOYAN 25/2/2019 9789813272873 850 750

PROCEEDINGS OF THE 14TH AND 15TH ASIAN LOGIC CONFERENCES KIM BYUNGHAN ET AL 31/1/2019 9789813237544 118 104

MATHEMATICAL PHYSICS - PROCEEDINGS OF THE 14TH REGIONAL CONFERENCEASLAM MUHAMMAD JAMIL &

SAIFULLAH KHALID 11/04/2018 9789813224964 178 157

ALGEBRAIC VARIETIES AND AUTOMORPHISM GROUPS

MASUDA KAYO, KISHIMOTO TAKSHI, KOJIMA HIDEO,

MIYANISHI MASAYOSHI & ZAIDENBERG MIKHAIL 27/12/2017 9784864970488 80 70

HIGHER DIMENSIONAL ALGEBRAIC GEOMETRY: IN HONOUR OF PROFESSOR YUJIRO KAWAMATA'S SIXTIETH BIRTHDAY

OGUISO KEIJI, BIRKAR CAUCHER, ISHII SHIHOKO &

TAKAYAMA SHIGEHARU 01/11/2017 9784864970464 84 74

CONTEMPORARY PERSPECTIVES IN DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS - PROCEEDINGS OF THE 5TH INTERNATIONAL COLLOQUIUM ON DIFFERENTIAL GEOMETRY AND ITS RELATED FIELDS ADACHI TOSHIAKI ET AL 25/09/2017 9789813220904 128 106

GEOMETRY, DYNAMICS, AND FOLIATIONS 2013: IN HONOR OF STEVEN HURDER AND TAKASHI TSUBOI ON THE OCCASION OF THEIR 60TH BIRTHDAYS

ASUKE TARO, MATSUMOTO SHIGENORI & MITSUMATSU

YOSHIHIKO 21/09/2017 9784864970402 97 85

SCHUBERT CALCULUS - OSAKA 2012

NARUSE HIROSHI, IKEDA TAKESHI, MASUDA MIKIYA

ET AL 21/09/2017 9784864970389 154 136

MINIMAL MODELS AND EXTREMAL RAYS (KYOTO,2011)

KOLLAR JANOS, FUJINO OSAMU, MUKAI SHIGERU

ET AL 21/09/2017 9784864970365 152 134

HYPERBOLIC GEOMETRY AND GEOMETRIC GROUP THEORY

FUJIWARA KOJI, KOJIMA SADAYOSHI & OHSHIKA

KEN'ICHI 21/09/2017 9784864970426 63 55

NONCOMMUTATIVE GEOMETRY AND PHYSICS 4 - WORKSHOP ON STRINGS, MEMBRANES AND TOPOLOGICAL FIELD THEORY KOTANI MOTOKO ET AL 21/03/2017 9789813144606 148 123

CHAOS, COMPLEXITY AND TRANSPORT - PROCEEDINGS OF THE CCT '15

BOEDEC GWENN, ELOY

CHRISTOPHE & LEONCINI

XAVIER 06/01/2017 9789813202733 148 123

TITLE AUTHOR PUB DATE ISBN13 US$ £

MATHEMATICAL BIOLOGY AND BIOLOGICAL PHYSICS MONDAINI RUBEM P 11/09/2017 9789813227873 138 121

GEOMETRY, DYNAMICS AND TOPOLOGY OF FOLIATIONS: A FIRST COURSESCARDUA BRUNO & MORALES

ROJAS CARLOS ARNOLDO 19/04/2017 9789813207073 98 81

NON-COMMUTATIVE ANALYSIS JORGENSEN PALLE ET A 20/03/2017 9789813202115 158 131

POWER OF COMPUTATIONAL THINKING, THE: GAMES, MAGIC AND PUZZLES TO HELP YOU BECOME A COMPUTATIONAL THINKER

MCOWAN PETER WILLIAM & CURZON PAUL 08/03/2017 9781786341839 58 48

GENERICITY IN POLYNOMIAL OPTIMIZATION VUI HA HUY ET AL 23/02/2017 9781786342218 88 73

DYNAMICAL AND COMPLEX SYSTEMS BULLETT SHAUN ET AL 23/02/2017 9781786341020 98 81

TRIGONOMETRY: NOTES, PROBLEMS AND EXERCISES DELBOURGO ROGER 03/02/2017 9789813203112 28 23

NEARRINGS, NEARFIELDS AND RELATED TOPICSPRASAD KUNCHAM SYAM

ET AL 24/01/2017 9789813207356 128 106

BEGINNER'S FURTHER GUIDE TO MATHEMATICAL LOGIC, A SMULLYAN RAYMOND M 13/01/2017 9789814730990 68 56

STRATEGY GAMES TO ENHANCE PROBLEM-SOLVING ABILITY IN MATHEMATICS KRULIK STEPHEN ET AL 13/01/2017 9789813146334 48 40

PRIME NUMBERS, FRIENDS WHO GIVE PROBLEMS: A TRIALOGUE WITH PAPA

PAULO RIBENBOIM PAULO 04/01/2017 9789814725804 75 62

INEQUALITIES IN ANALYSIS AND PROBABILITY (SECOND EDITION) PONS ODILE 04/01/2017 9789813143982 110 91

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Mathematics 2019

Mar 2019 | 978-981-3272-87-3 (Set) | US$850 £750

PROCEEDINGS OF THE

WORLD’S LARGEST & MOST PRESTIGIOUS EVENT IN MATHEMATICS

INTERNATIONAL CONGRESS OF

MATHEMATICIANS 2018

#1 IN LOGIC

20 IN MATHEMATICS Fastest growing journal

within its discipline

World Scientific is a leading independent academic publisher providing you with high quality Mathematics content. Our collection of 23 leading Mathematics journals are considered essential content by top institutions globally.

J O U R N A L S C O L L E C T I O N MATHEMATICS

World ScientificConnecting Great Minds

Journal Citation Reports & SCImago Journal Ranking

IMPACT FACTOR: 3.319

#6 O U T O F

in Applied Mathematics

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39

WORLD SCIENTIFIC

#1 IN LOGIC

20 IN MATHEMATICS Fastest growing journal

within its discipline

World Scientific is a leading independent academic publisher providing you with high quality Mathematics content. Our collection of 23 leading Mathematics journals are considered essential content by top institutions globally.

J O U R N A L S C O L L E C T I O N MATHEMATICS

World ScientificConnecting Great Minds

Journal Citation Reports & SCImago Journal Ranking

IMPACT FACTOR: 3.319

#6 O U T O F

in Applied Mathematics

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Algebra Colloquium (AC)Print ISSN: 1005-3867

http://www.worldscientific.com/acThis is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.

Editor-in-ChiefChongying Dong, University of California, Santa Cruz, USA

Managing EditorZhongming Tang, Suzhou University, China

Discrete Mathematics, Algorithms and Applications (DMAA)

Print / Online ISSN: 1793-8309 / 1793-8317http://www.worldscientific.com/dmaa

The aim of this journal is to advance and promote the theory and applications of discrete mathematics, which is a research area in mathematics with applications in computer science, industrial engineering, bio-informatics, chemistry and communication networks. The journal encourages contributions from the two important parts of discrete mathematics, graph theory and combinatorics. The former includes structural graph theory, extremal graph theory, algebraic graph theory, random graphs and internet graphs. The latter consists of combinatorial design, combinatorial enumeration, coding theory, combinatorial probabilistic method, etc.

Co-Editors-in-ChiefDing-Zhu Du, University of Texas, Dallas, USAJinlong Shu, East China Normal University, China

International Journal of Algebra and Computation (IJAC)

Print / Online ISSN: 0218-1967 / 1793-6500http://www.worldscientific.com/ijac

This journal publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.

Managing EditorBenjamin Steinberg, City College of New York, USA

Founding Editor and Honorary Editor-in-ChiefJohn Rhodes, Univ. of California, Berkeley, USA

International Journal Of Number Theory (IJNT)Print / Online ISSN: 1793-0421 / 1793-7310

http://www.worldscientific.com/ijntThis journal publishes original research papers and review articles on all areas of Number Theory, including elementary number theory, analytic number theory, algebraic number theory, arithmetic algebraic geometry, geometry of numbers, diophantine equations, diophantine approximation, transcendental number theory, probabilistic number theory, modular forms, multiplicative number theory, additive number theory, partitions, and computational number theory.

Managing EditorsBruce C Berndt, University of Illinois, Urbana-Champaign, USAR Sujatha, The University of British Columbia, CanadaUmberto Zannier, Scuola Normale Superiore, Italy

Journal of Algebra and Its Applications (JAA)Print / Online ISSN: 0219-4988 / 1793-6829

http://www.worldscientific.com/jaaThis journal publishes papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.

Executive EditorsS K Jain, Ohio University, USA and King Abdulaziz University, Saudi ArabiaS R López-Permouth, Ohio University, USA

Random Matrices: Theory and Applications (RMTA)Print / Online ISSN: 2010-3263 / 2010-3271

http://www.worldscientific.com/rmtaThis journal publishes high quality papers on all aspects regarding random matrices, both theory and applications. These areas will include, but not be limited to, spectral theory, new ensembles (those not generally considered in classical random matrix theory), and applications to a wide variety of areas, including high dimensional data analysis, wireless communications, finance, and economics. Only papers that contain original, innovative and correct results, which deepen our understanding on the theory of random matrices and its applications, will be considered for publications.

Editors-in-ChiefZhidong Bai, Northeast Normal University, China Yang Chen, University of Macau, China

Algebra & Related Topics

JOURNALS

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Infinite Dimensional Analysis, Quantum Probability and Related Topics (IDAQP)

Print / Online ISSN: 0219-0257 / 1793-6306http://www.worldscientific.com/idaqp

In the past few years the fields of infinite dimensional analysis and quantum probability have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. The number of first-class papers in these fields has grown at the same rate. This is currently the only journal which is devoted to these fields.

Managing EditorL Accardi, Università di Roma Tor Vergata, Italy

Editor-in-ChiefT Hida, Nagoya University and Meijo University, Japan

International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP)

Print / Online ISSN: 0219-6913 / 1793-690Xhttp://www.worldscientific.com/ijwmip

This journal considers the current state-of-the-art theories of wavelet analysis, multiresolution and information processing as well as their applications. This journal aims at publishing papers in both the theories and applications, concentrating on the practical applications of the wavelets, multiresolution and information processing to all areas in science and engineering.

Editor-in-ChiefYuan Y Tang, Chengdu University and University of Macau, China

Managing EditorLuoqing Li, Hubei University, China

Mathematical Models and Methods in Applied Sciences (M3AS)

Print / Online ISSN: 0218-2025 / 1793-6314

http://www.worldscientific.com/m3asThe purpose of this journal is to provide a medium of exchange for scientists engaged in applied sciences (physics, mathematical physics, natural, and technological sciences) where there exists a non-trivial interplay between mathematics, mathematical modelling of real systems and mathematical and computer methods oriented towards the qualitative and quantitative analysis of real physical systems.

EditorsNicola Bellomo, Politecnico di Torino, ItalyFranco Brezzi, IMATI - CNR, Italy

Open Systems & Information Dynamics (OSID)Print / Online ISSN: 1230-1612 / 1793-7191

http://www.worldscientific.com/osidThe aim of this journal is to promote interdisciplinary research in mathematics, physics, engineering and life sciences centered around the issues of broadly understood information processing, storage and transmission, in both quantum and classical settings. Our special interest lies in the information-theoretic approach to phenomena dealing with dynamics and thermodynamics, control, communication, filtering, memory and cooperative behaviour, etc., in open complex systems. 

Editor-in-ChiefM Ohya, Tokyo University of Science, Japan

Journal of Hyperbolic Differential Equations (JHDE)Print / Online ISSN: 0219-8916 / 1793-6993

http://www.worldscientific.com/jhdeThis journal publishes original research papers on nonlinear hyperbolic problems and related topics, of mathematical and/or physical interest. Specifically, it invites papers on the theory and numerical analysis of hyperbolic conservation laws and of hyperbolic partial differential equations arising in mathematical physics. Editor-in-ChiefPhilippe G LeFloch, Université Pierre et Marie Curie (Paris 6),France

Co-EditorJian-Guo Liu, Duke University, USA

Analysis and Applications (AA)Print / Online ISSN: 0219-5305 / 1793-6861

http://www.worldscientific.com/aaThis journal publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.

Editors-in-ChiefDing-Xuan Zhou, City University of Hong Kong, Hong Kong

Honorary Editors-in-ChiefPhilippe G Ciarlet, City University of Hong Kong, Hong KongRobert M Miura, New Jersey Institute of Technology, USARoderick S C Wong, City University of Hong Kong, Hong Kong

Applied Mathematics Differential & Integral Equations

JOURNALS

Mathematical Analysis

Impact Factor: 3.319Ranked 6th in Mathematics, Applied

Impact Factor: 1.79Ranked 16th in Mathematics

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Mathematical Logic & FoundationsGeneral Mathematics

Mathematical Biology

JOURNALS

Asian-European Journal of Mathematics (AEJM)Print / Online ISSN: 1793-5571 / 1793-7183

http://www.worldscientific.com/aejmThis is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic.

Honorary Chief EditorWu Wentsun, Chinese Academy of Sciences, China

Chief EditorK P Shum, Yunnan University, China

Managing EditorJörg Koppitz, Universität Potsdam, Germany

Bulletin of Mathematical SciencesThis peer-reviewed and open access journal will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. It publishes well-written expository articles of exceptional value giving the latest state of the art on a specific topic, and short articles containing significant results of wider interest. It is launched by King Abdulaziz University, Jeddah, Saudi Arabia.

Executive Editors

Ahmed Alsaedi, King Abdulaziz University, Saudi ArabiaS. K. Jain, King Abdulaziz University, Saudi Arabia and Ohio University, USA

Efim Zelmanov, University of California, San Diego, USA

International Journal of Mathematics (IJM)Print / Online ISSN: 0129-167X / 1793-6519

http://www.worldscientific.com/ijmThe International Journal of Mathematics publishes original research papers of high quality in all topics of pure mathematics. The journal has been published monthly. The first issue appeared in March 1990.

Founding AdvisorS S Chern, Chern Institute of Mathematics, Nankai University, China

Chair

Yasuyuki Kawahigashi, University of Tokyo, Japan

Communications in Contemporary Mathematics (CCM)Print / Online ISSN: 0219-1997 / 1793-6683

http://www.worldscientific.com/ccmWith traditional boundaries between various specialized fields of mathematics becoming less and less visible,  Communications in Contemporary Mathematics  (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.

Editors-in-ChiefHaïm Brezis, Rutgers University, USAYi-Zhi Huang, Rutgers University, USA

International Journal of Biomathematics (IJB)Print / Online ISSN: 1793-5245 / 1793-7159

http://www.worldscientific.com/ijbThe goal of this journal is to present the latest achievements in biomathematics, facilitate international academic exchanges and promote the development of biomathematics. Its research fields include mathematical ecology, infectious disease dynamical system, biostatistics and bioinformatics.

Editor-in-ChiefLansun Chen, Academy of Mathematics and System Sciences, Academia Sinica, and Xinyang Normal University, China

Journal of Mathematical Logic (JML)Print / Online ISSN: 0219-0613 / 1793-6691

http://www.worldscientific.com/jmlThis journal provides an important forum for the communication of original contributions in all areas of mathematical logic and its applications. It aims at publishing papers at the highest level of mathematical creativity and sophistication. JML intends to represent the most important and innovative developments in the subject.

Managing EditorsChitat Chong, National University of SingaporeQi Feng, Chinese Academy of Sciences, ChinaTheodore A Slaman, University of California, Berkeley, USAW Hugh Woodin, Harvard University, USA

Impact Factor : 1.16Ranked within Quartile 1 in Mathematics

Ranked 1st in Logic

Impact Factor: 1.138Ranked within Quartile 1 in Mathematics

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Mathematical Physics

JOURNALS

Geometry & Topology

International Journal of Geometric Methods in Modern Physics (IJGMMP)

Print / Online ISSN: 0219-8878 / 1793-6977http://www.worldscientific.com/ijgmmp

This journal publishes short communications, research and review articles devoted to all applications of geometric methods (including commutative and non-commutative Differential Geometry, Riemannian Geometry, Finsler Geometry, Complex Geometry, Lie Groups and Lie Algebras, Bundle Theory, Homology an Cohomology, Algebraic Geometry, Global Analysis, Category Theory, Operator Algebra and Topology) in all fields of Mathematical and Theoretical Physics.

Managing EditorSalvatore Capozziello, Università Di Napoli “Federico II”, Italy

Journal of Knot Theory and Its Ramifications (JKTR)Print / Online ISSN: 0218-2165 / 1793-6527

http://www.worldscientific.com/jktrThis Journal is intended as a forum for new developments in knot theory, particularly developments that create connections between knot theory and other aspects of mathematics and natural science. The stance is interdisciplinary due to the nature of the subject. Papers include new research in the theory of knots and links, and their applications; new researches in related fields; tutorial and review papers, etc.

Editor-in-ChiefL H Kauffman, University of Illinois, Chicago, USA

Managing EditorsJ S Carter, University of South Alabama, USASergei Gukov, Calfornia Institute of Technology, USAS Kamada, Osaka City University, Japan

S Matveev, Chelyabinsky State University, Russia

Journal of Topology and Analysis (JTA)Print / Online ISSN: 1793-5253 / 1793-7167

http://www.worldscientific.com/jtaThis journal is devoted to topology and analysis, broadly defined to include, for instance, differential geometry, geometric topology, geometric analysis, geometric group theory, index theory, noncommutative geometry, and aspects of probability on discrete structures, and geometry of Banach spaces. We welcome all excellent papers that have a geometric and/or analytic flavor that fosters the interactions between these fields. Papers published in this journal should break new ground or represent definitive progress on problems of current interest. On rare occasion, we will also accept survey papers.

Managing EditorsShmuel Weinberger, University of Chicago, USAGuoliang Yu, Texas A&M University, USA

Reviews in Mathematical Physics (RMP)Print / Online ISSN: 0129-055X / 1793-6659

http://www.worldscientific.com/rmpThis journal fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. 

Founding EditorHuzihiro Araki, Kyoto University, Japan

Editor-in-ChiefVolker Bach, TU Braunschweig, GermanyAntti Niemi, Uppsala University, Sweden

Stochastics and Dynamics (SD)Print / Online ISSN: 0219-4937 / 1793-6799

http://www.worldscientific.com/sdThis interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system’s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.

Editor-in-ChiefManfred Denker, Penn State University, USA

Managing EditorJinqiao Duan, Illinois Institute of Technology, USA

First & Only Journal in Knot Theory

More details athttp://bit.ly/ws-mathjournals

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Tick the titles and email to mkt@wspc.com to recommend to your librarian.Title Index

ContentsLinear Algebra and its Applications .........................................................................................4Principles and Techniques in Combinatorics ...........................................................................4Weight Representations ..........................................................................................................4Gröbner – Shirshov Bases .......................................................................................................4Board Games ..........................................................................................................................4Numerical and Symbolic Computations of Generalized Inverses ............................................4Galois Theory and Applications ..............................................................................................5Notes on the Binomial Transform ............................................................................................5Category Theory and Applications ..........................................................................................5Infinite Group Theory .............................................................................................................5Introduction to Number Theory ..............................................................................................5Number Theory and Its Applications II ....................................................................................5Numeral Systems with Irrational Bases for Mission-Critical Applications .................................6A Course on Abstract Algebra (2nd Edition) ............................................................................6Topics and Methods in q-Series ..............................................................................................6Compactifications of PEL-Type Shimura Varieties and Kuga Families with Ordinary Loci ........6A Graduate Course in Algebra (In 2 Volumes) .........................................................................6Periods and Special Functions in Transcendence.....................................................................6Lectures on Lie Groups (2nd Edition) ......................................................................................7Crystal Bases ..........................................................................................................................7A Pioneer in Complexity Science ............................................................................................7New Horizons for Second-Order Cybernetics .........................................................................7Information Theory .................................................................................................................7Nonlinear Waves ....................................................................................................................8An Operator Theory Problem Book .........................................................................................8Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions ...........................8Beyond the Triangle ................................................................................................................8Ordinary Differential Equations and Boundary Value Problem ................................................8Frontiers in Orthogonal Polynomials and q-Series ...................................................................9Selected Papers of Weiyue Ding .............................................................................................9An Introduction to Second Order Partial Differential Equations ...............................................9Matrix Methods and Fractional Calculus .................................................................................9A First Course in Partial Differential Equations ........................................................................9The Strong Nonlinear Limit-Point/Limit-Circle Problem ...........................................................9Operator Functions and Operator Equations .........................................................................10Lectures, Problems and Solutions for Ordinary Differential Equations (2nd Edition) ..............10Higher Order Boundary Value Problems on Unbounded Domains .......................................10Local and Global Aspects of Quasilinear Degenerate Elliptic Equations ................................10Functional Equations and Inequalities ...................................................................................10Differential Forms .................................................................................................................10Fractalize That ......................................................................................................................11Conformal Maps and Geometry ............................................................................................11Morse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundary ......11High Dimensional Knotting ..................................................................................................11Elegant Fractals .....................................................................................................................11Geometry of Biharmonic Mappings ......................................................................................12Minimal Submanifolds and Related Topics (2nd Edition) .......................................................12The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles .............................12The Mereon Matrix ...............................................................................................................12Zeta Functions of Reductive Groups and Their Zeros ............................................................12The Geometry of Spherical Space Form Groups (2nd Edition) ...............................................12Combinatorial and Toric Homotopy ......................................................................................13New Topological Invariants for Real- and Angle-Valued Maps ..............................................13Spectral Geometry of the Laplacian ......................................................................................13Differential Geometry of Warped Product Manifolds and Submanifolds ...............................13Differential Geometry of Curves and Surfaces .......................................................................13Geometry in Advanced Pure Mathematics ............................................................................13The Fractional Laplacian .......................................................................................................14Metric in Measure Spaces .....................................................................................................14Kurzweil – Stieltjes Integral ...................................................................................................14Integration for Calculus, Analysis, and Differential Equations ................................................14A Course in Analysis ............................................................................................................14Lectures on Functional Analysis and Applications (2nd Edition) ............................................14Weighted Inequalities Involving p-quasiconcave Operators ..................................................15Lipschitz Algebras (2nd Edition) ............................................................................................15Abstract Duality Pairs in Analysis ..........................................................................................15Nonabsolute Integration on Measure Spaces ........................................................................15Harmonic Analysis and Fractal Analysis over Local Fields and Applications..........................15Weighted Inequalities of Hardy Type (2nd Edition)................................................................15An Introduction to Analysis...................................................................................................16A Friendly Approach to Functional Analysis ..........................................................................16Concise Calculus ..................................................................................................................16Singular Bilinear Integrals ....................................................................................................16Problems and Solutions in Real Analysis ...............................................................................16Stochastic Models in the Life Sciences and Their Methods of Analysis ..................................17Dynamical System Models in the Life Sciences and Their Underlying Scientific Issues ..........17Applications of Calculus to Biology and Medicine ................................................................17Fundamentals of Network Biology ........................................................................................17A Mathematical Modeling Approach to Infectious Diseases ..................................................17Computational Chemotaxis Models for Neurodegenerative Disease .....................................17Complexity Science ..............................................................................................................18Fractional Calculus and Waves in Linear Viscoelasticity (2nd Edition) ...................................18Advanced Mathematical and Computational Tools in Metrology and Testing XI ....................18Mathematical Music Theory ..................................................................................................18Crowds in Equations .............................................................................................................18Chemotaxis, Reaction, Network ...........................................................................................18Grammar of Complexity .......................................................................................................19Fractional Kinetics in Space ..................................................................................................19Mathematics of Planet Earth .................................................................................................19Method of Lines Analysis of Turing Models ...........................................................................19The Limits of Mathematical Modeling in the Social Sciences ................................................19Mathematical Methods for the Natural and Engineering Sciences (2nd Edition) ....................19Risk and Stochastics .............................................................................................................20Probability and Statistics for Economists ...............................................................................20Deterministic and Stochastic Topics in Computational Finance .............................................20Theoretical Foundations for Quantitative Finance .................................................................20

Time Series Econometrics .....................................................................................................20Heavy Tails and Copulas .......................................................................................................20Computability, Forcing and Descriptive Set Theory ...............................................................21How to Measure the Infinite .................................................................................................21Eliminating the Universe .......................................................................................................21Proof and Computation ........................................................................................................21Mathematics Almost Everywhere ..........................................................................................21The Digital and the Real World .............................................................................................21Logic in Wonderland ............................................................................................................22Sets and Computations .........................................................................................................22Quantum Field Theory, Quantum Physics and Micro-Macro Duality .....................................22Selecta III ..............................................................................................................................22Quantized Number Theory, Fractal Strings and the Riemann Hypothesis ..............................22Quantum Systems and Finite Approximations .......................................................................23Elementary Mechanics (In 2 Volumes) ...................................................................................23The Linearised Dam-Break Problem......................................................................................23Maxwell Equation .................................................................................................................23A Guide to Mathematical Methods for Physicists ..................................................................23Fractional Quantum Mechanics ............................................................................................23Ludwig Faddeev Memorial Volume .......................................................................................24Langevin and Fokker – Planck Equations and their Generalizations ......................................24Quantum Techniques in Stochastic Mechanics .....................................................................24Noncommutative Cosmology ...............................................................................................24Resonance and Bifurcation to Chaos in Pendulum ................................................................24Analysis on Fock Spaces and Mathematical Theory of Quantum Fields .................................24A Mathematics Primer for Physics Students ...........................................................................25Fractional Calculus ...............................................................................................................25Theory of Groups and Symmetries ........................................................................................25Mathematics for Physics .......................................................................................................25A Half-Century of Physical Asymptotics and Other Diversions ..............................................25A Guide to Mathematical Methods for Physicists ..................................................................25Scattering by Obstacles and Potentials ..................................................................................26Emergence of the Quantum from the Classical .....................................................................26Problems and Solutions in Differential Geometry, Lie Series, Differential Forms, Relativity and Applications ..................................................................................................26The Global Nonlinear Stability of Minkowski Space for Self-Gravitating Massive Fields ........26Strong Uniformity and Large Dynamical Systems ..................................................................26The Wigner Transform ...........................................................................................................26Lecture Notes in Topics in Path Integrals and String Representations .....................................27Analysis and Mathematical Physics.......................................................................................27The Principles of Newtonian and Quantum Mechanics (2nd Edition) ...................................27School Mathematics Textbooks in China ...............................................................................27Integrating Computers and Problem Posing in Mathematics Teacher Education .....................27The Mathematics Coach Handbook ......................................................................................27Theoretical and Practical Pedagogy of Mathematical Music Theory ......................................28Mathematics Instruction: Goals, Tasks and Activities .............................................................28Empowering Mathematics Learners ......................................................................................28Mathematics and its Teaching in the Muslim States ...............................................................28Mathematics and its Teaching in the Asia-Pacific Region .......................................................28K-12 Mathematics Education in Israel ...................................................................................28A Problem Solving Approach to Supporting Mathematics Instruction in Elementary School ..29Tools to Help Your Children Learn Math ...............................................................................29Teaching Children to Love Problem Solving ..........................................................................29Elementary School Mathematics for Parents and Teachers .....................................................29Diversifying Mathematics Teaching .......................................................................................29High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion ...........................................................................................30Explorations in Numerical Analysis .......................................................................................30Elements of Numerical Analysis with Mathematica ...............................................................30A New Method of Constructing Brakke’s Motion ..................................................................30Optimization in an ACORN ..................................................................................................30Optimization Theory ............................................................................................................30Robust Mixed Model Analysis ..............................................................................................31Introduction to Stochastic Processes .....................................................................................31Multifractional Stochastic Fields ...........................................................................................31Probability Models and Applications (Revised 2nd Edition)...................................................31Random Processes ................................................................................................................31Estimations and Tests in Change-Point Models ......................................................................31Statistical Data Science ........................................................................................................32Nonconventional Limit Theorems and Random Dynamics ....................................................32Nonparametric Statistics ......................................................................................................32Probability and Random Number .........................................................................................32White Noise Analysis and Quantum Information ..................................................................32Statistics and Experimental Design for Psychologists .............................................................32Risk Theory ...........................................................................................................................33Simulating Copulas (2nd Edition) ..........................................................................................33Expect the Unexpected (2nd Edition) ....................................................................................33Inference, Asymptotics, and Applications .............................................................................33Let Us Use White Noise........................................................................................................33Statistical Data Fusion ..........................................................................................................33The Soma Puzzle Book .........................................................................................................34Venusian Casino Junkets .......................................................................................................34Navigating across Mathematical Cultures and Times .............................................................34In the Search for Beauty ........................................................................................................34The Tangram Puzzle Book .....................................................................................................34The Paper Puzzle Book .................................................................................................... ....34A Lady Mathematician in this Strange Universe: Memoirs ................................................ ....35Ernest Irving Freese’s Geometric Transformations ............................................................. ....35The Story of Numbers ...................................................................................................... ....35KenKen: Math & Logic Puzzles That Will Make You Smarter! ........................................... ....35Mathematical Olympical in China ................................................................................... ....36A Central European Olympiad ......................................................................................... ....36Solving Problems in Geometry ........................................................................................ ....36Algebraic Inequalities ...................................................................................................... ....36Trigonometric Functions and Complex Numbers ............................................................. ....36

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WORLD SCIENTIFIC

Author Index

Abramovich Sergei .............................27, 29Accardi Luigi ............................................32Adams Niall M ..........................................32Allen Rory .................................................32Arai Asao ..................................................24Ayache Antoine .........................................31Ayad Mohamed ...........................................5Baez John C ..............................................24Baginski Paul ..............................................5Bakken Erik Makino .................................23Balan Raluca .............................................33Barrieu Pauline ..........................................20Bartusek Miroslav .......................................9Beck Jozsef ...............................................26Beliaev Dmitry .......................................... 11Bellow Alexandra ......................................21Benci Vieri ................................................21Ben-Naim Arieh ..........................................7Berman Gennady P ...................................20Berry Michael Victor ................................25Biamonte Jacob D .....................................24Blechman Andrew E .................................25Bokut Leonid ..............................................4Botelho Luiz C L .......................................27Boyadzhiev Khristo N .................................5Broecker Jochen ........................................19Buchanan J Robert ......................................9Bullett Shaun .......................................13, 27Bump Daniel ...............................................7Burghelea Dan...........................................13Calderhead Ben .........................................19Calin Ovidiu ..............................................20Calude Cristian S ......................................21Carrasco Hugo Alexandre Sacristao .........10Cenzer Douglas .........................................21Chang Shou-Te ............................................6Chen Bang-Yen .........................................13Chen Ji ......................................................36Chen Louis Hsiao Yun ..............................32Chen Mu-Fa ..............................................31Chen Wenxiong .........................................14Chen Yuqun .................................................4Cheraghi Davoud ......................................19Choquet-Bruhat Yvonne ............................35Chua Boon Liang ......................................28Chunovkina Anna G ..................................18Cioranescu Doina ........................................9Cohen Ed ...................................................32Cotter Colin ...............................................19Crisan Dan ................................................19Darby Alastair ...........................................13De Gosson Maurice A .........................26, 27Deng Weihua .............................................30Deng Yuefan ..............................................10Dennis Lynnclaire .....................................12Derman Cyrus ...........................................31Deshpande Jayant V ..................................32Dewan Isha ................................................32Di Nasso Mauro ........................................21Digernes Trond..........................................23Donato Patrizia9Doria Francisco Antonio ...........................19Eichstadt Sascha ........................................18Eie Minking ................................................6El Tom Mohamed E A ...............................28Elran Yossi ................................................34Evans Kristian P ........................................14Evans William Desmond ...........................15Farmakis Ioannis .........................................6Faure Sylvain ............................................18Fearn Tom ...........................................13, 27Fine Benjamin .............................................5Foo Kean Pew .............................................4Forbes Alistair B .......................................18Frederickson Greg N .................................35Friedman Sy-David ...................................22Fuhrer Robert ............................................35Gaglione Anthony .......................................5Gao Helena Hong ........................................7Garibi Ilan .................................................34Ge Mo-Lin ................................................24Geretschlager Robert ................................36Germain-Williams Terri ............................29Gil' Michael ...............................................10Gilkey Peter B ...........................................12Gleser Leon J ............................................31Gogatishvili Amiran ..................................15Golden Leslie M .......................................34Gomez Francisco ......................................28Gong Sheng ...............................................16Gong Youhong ..........................................16Goodman David Hillel ..............................34Graef John R ...........................................8, 9Grandis Marco ............................................5

Grantcharov Dimitar ...................................4Grbic Jelena ..............................................13Guillemin Victor ....................................... 11Hafouta Yeor .............................................32Hahn Marjorie .............................................8Haine Peter ................................................ 11Hang Kim Hoo ..........................................36Hata Masayoshi .........................................16Haubold Hans J ...........................................9Henderson Johnny L ...................................8Herichi Hafedh ..........................................22Herrmann Richard .....................................25Hida Takeyuki .....................................32, 33Hill Richard Michael ...................................5Holm Darryl D ..........................................19Hong Yongmiao ........................................20Horihata Kazuhiro .....................................30Hsiang Wu-Yi ..............................................7Ibragimov Rustam .....................................20Isaev Alexey P ...........................................25Isozaki Hiroshi ..........................................23Jacob Niels ................................................14Jefferies Brian Raymond Frederick ..........16Ji Chaocheng .............................................36Jiang Jiming ..............................................31Kalinowski Jozef .......................................36Kalorkoti Kyriakos ......................................4Kanemitsu Shigeru ......................................5Katz Gabriel .............................................. 11Kauffman Louis H ....................................12Kaur Berinderjeet ......................................28Kedem Benjamin ......................................33Keenan Edward L ......................................21Kifer Yuri ..................................................32Kobayashi Kei .............................................8Kong Lingju ................................................8Konstantinides Dimitrios George..............33Krulik Stephen ..........................................27Kufner Alois ..............................................15Kumar B V Senthil ....................................10Kuna Tobias ..............................................19Kupferman Raz .........................................29Kwok Sau Fa .............................................24Kyppo Jorma ...............................................4Lambers James V ......................................30Lamothe Gilles ..........................................33Lan Kai-Wen ...............................................6Lapidus Michel L ......................................22Laskin Nick ...............................................23Leach John Andrew ...................................23Lee Martin J ..............................................30Lee Ngan Hoe ...........................................28Lee Peng Yee .............................................36Lefloch Philippe G ....................................26Levine Gavrielle ........................................29Li Fuhuo ......................................................5Li Hailong ...................................................5Li Xin ..........................................................9Li Yan ........................................................14Lin Simon Mingyan ....................................4Liu Dun .....................................................34Liu Sherry Xueyan ......................................8Loustau John .............................................30Lu Zhi ........................................................13Luo Albert C J ...........................................24Ma Pei .......................................................14Ma Yue ......................................................26Mack John M ............................................28Mai Jan-Frederik .......................................33Mainardi Francesco ...................................18Mainzer Klaus ...........................................21Mallik Asok Kumar...................................35Mao Yong-Hua ..........................................31Marcolli Matilde .......................................24Markin Marat V ........................................14Marsh Adam ..............................................25Martinussen Torben ...................................33Masoliver Jaume .......................................31Mathai Arak M ............................................9Maury Bertrand .........................................18Mc Laughlin James .....................................6Mcgovern S ...............................................23Mcnair Jytte Brender .................................12Mickens Ronald E .....................................19Mikusinski Jan ..........................................16Mikusinski Piotr ........................................16Minhos Feliz Manuel ................................10Moh Tzuong-Tsieng ....................................4Monteiro Giselle Antunes .........................14Montiel Mariana ..................................18, 28Mortad Mohammed Hichem .......................8Moskowitz Martin .......................................6Movshovitz-Hadar Nitsa .....................22, 28Muller Karl H ..............................................7

Naik-Nimbalkar Uttara .............................32Nashed M Zuhair ........................................9Needham David J ......................................23Ng Wee Leng.............................................15Niemi Antti................................................24Ohya Masanori ..........................................32Ojima Izumi ..............................................22Okamura Kazuya ......................................22Oliveira Victor De .....................................33Olkin Ingram .............................................31Opic Bohumir ............................................15Papastavridis John G .................................23Peck Robert W ..........................................18Peletier Mark A .........................................18Pelloni Beatrice .........................................19Perron Pierre .............................................20Persson Lars-Erik ......................................15Petkovic Marko ...........................................4Petrini Michela ....................................23, 25Phua Kok Khoo .........................................24Piontkovski Dmitri ......................................4Pons Odile .................................................31Popivanov Petar Radoev .............................8Porter Christopher .....................................21Posamentier Alfred S ..........................27, 29Pradisi Gianfranco ..............................23, 25Prokhorov Artem .......................................20Pugachev V S ............................................14Raghavan Dilip .........................................22Ramm Alexander G ...................................26Rassias John Michael ................................10Ravi K .......................................................10Reid Nancy Margaret ................................33Riegler Alexander .......................................7Roque Marian P ..........................................9Roseman Dennis ....................................... 11Rothman Sheldon N ..................................29Rubakov Valery A .....................................25Ryan Nathan ..............................................17Saigo Hayato .............................................22Samko Natasha ..........................................15Sasane Amol..............................................16Sauro Danielle ...........................................29Scherer Matthias .......................................33Schiesser William E ............................17, 19Schilling Anne .............................................7Schuster Peter Michael .............................21Schwichtenberg Helmut ............................21Serganova Vera ...........................................4Shao Zhoude ...............................................9Shepherd Ted .............................................19Shier John.................................................. 11Shriki Atara ...............................................22Si Si ...........................................................32Sibatov Renat T .........................................19Sinai Yakov ...............................................22Sinitsyn Igor ..............................................14Sirakov Boyan ...........................................38Slavik Antonin ..........................................14Slavova Angela ...........................................8Smilga Voldemar .......................................34Smith Frank .........................................13, 27Souza Paulo Ney De .................................38Spadafora Luca .........................................20Sprott Julien Clinton ................................. 11Stakhov Alexey ...........................................6Stanimirovic Predrag ..................................4Steeb Willi-Hans .......................................26Steur Erik ..................................................18Streit Ludwig ............................................33Su Weiyi ....................................................15Sugita Hiroshi ...........................................32Sumner Amber C.......................................30Suzuki Takashi ..........................................18Sverchkov Michael ...................................33Svrcek Jaroslav .........................................36Swartz Charles W ......................................15Takhtajan Leon A ......................................24Thandapani E ............................................10Toh Pee Choon ..........................................28Tretkoff Paula B ..........................................6Tsang Ken Kang Too .................................30Tvrdy Milan ..............................................14Uchaikin Vladimir V .................................19Umarov Sabir ..............................................8Umehara Masaaki .....................................13Umpleby Stuart A ........................................7Urakawa Hajime .................................12, 13Van Santen Rutger A .................................18Vandoulakis Ioannis M .............................34Vasbinder Jan Wouter ..................................7Veron Laurent ............................................10Viana Marcelo ...........................................38Vogeli Bruce R ..........................................28

Volchenkov Dimitri ...................................19Wallace Dorothy I .....................................17Wan Frederic Y M .....................................17Wang Haibin .............................................36Wang Jianpan ............................................27Wang Nianliang...........................................5Wang Youde ................................................9Watanabe Noboru ......................................32Weaver Nik ...............................................15Wei Yimin ...................................................4Weller Hilary .............................................19Weng Lin ...................................................12Wentworth Richard ...................................12Wilkin Graeme ..........................................12Wu Jie........................................................13Xin Yuanlong ............................................12Xiong Bin ..................................................36Yamada Kotaro..........................................13Yang Desheng ...........................................36Yang Lei ......................................................8Yang Yue ...................................................22Yeh James J ...............................................14Yong Jiongmin ..........................................30Zaffaroni Alberto.................................23, 25Zamfirescu Tudor ......................................21Zapletal Jindrich ........................................21Zhang Nien Fan .........................................18Zhang Wenjun ...........................................17Zhang Zhijiang ..........................................30

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46

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