MEDIEVAL AND RENAISSANCE MATHEMATICS
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Transcript of MEDIEVAL AND RENAISSANCE MATHEMATICS
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