MEDIEVAL AND RENAISSANCE MATHEMATICS

BY: Tajana Novak, Andrea Gudelj, Srđana Obradović, Mirna Marković

April, 2013.

MEDIEVAL MATHEMATICS

From the 4th to the 15th centuries the early Middle Ages or Dark Ages

(from 400AD to 1400AD) period of stagnation the late Middle Ages (just before the

Renaissance) spreading the knowledge from the

East

MEDIEVAL MATHEMATICIANS

Adelard of Bath, Herman of Carinthia, Gerard of Cermona –translated Euclid’s “Elements”

Robert of Chester –translated Al- Khwarizmi’s book into Latin

Leonardo of Pisa (Fibonacci)- Europe’s first great medieval mathematician -Hindu-Arabic numeral system (Liber Abaci, 1202 AD) -horizontal bar notation for fractions -first recursive number sequence -Liber Quadratorum, 1225 AD

Woman teaching geometry

The frontispiece of an Adelard of Bath Latin translation of Euclid's Elements, the oldest surviving Latin translation of the Elements is a 12th-century translation by Adelard from an Arabic version.

MEDIEVAL MATHEMATICIANS

Nicole Oresme – used a system of rectangular coordinates

-harmonical series is a divergent infinite series

Johann Müller (Regiomontatus)- trigonometry

-De Triagulis, in 1450’s, first great book of trigonometry

RENAISSANCE MATHEMATICS

began in Italy From 14th to 16th century new way of thinking concept of ‘zero’ many advancements in algebra

RENAISSANCE MATHEMATICIANS

Leonardo da Vinci  - exploration of the world of

proportionality and spatial mechanics

- preferred drawing as his primary tool to execute his studies

-eg: rhombicuboctahedron,

Leonardo's Vitruvian man's perfect mathematical proportions

RENAISSANCE MATHEMATICIANS

Albercht Durer- supermagic square

Luca Pacioli- late 15th and early 16th centuries- Summa de Arithmetica, Geometria,

Proportioni et Propotiionalita , 1494. – a book of

arithmetic, geometry and book-keeping- symbols for plus and minus – standard

notation-The Divine Proportion

RENAISSANCE MATHEMATICIANS

Niccolo Fontana Tartaglia- formula for solving cubic equations, complex numbers

Ludovico Ferrari- quadratic equations

Gerolamo Cardano- Ars Magna,1545

-first systematic treatment of probability

Rafael Bombelli –L’Algebra,1572 –imaginary numbers

Simon Stevin- De Thiende, 1585- decimal notation