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Geminus writes a number of astronomy texts and The Theory of Mathematics. He tries to prove the parallel postulate. (See this History Topic.)
Heron of Alexandria writes Metrica (Measurements). It contains formulas for calculating areas and volumes.
Nicomachus of Gerasa writes Arithmetike eisagoge (Introduction to Arithmetic) which is the first work to treat arithmetic as a separate topic from geometry.
Menelaus of Alexandria writes Sphaerica which deals with spherical triangles and their application to astronomy.
Ptolemy produces many important geometrical results with applications in astronomy. His version of astronomy will be the accepted one for well over one thousand years.
The Maya civilization of Central America uses an almost place-value number system to base 20. (See this History Topic.)
Diophantus of Alexandria writes Arithmetica, a study of number theory problems in which only rational numbers are allowed as solutions.
By using a regular polygon with 192 sides Liu Hui calculates the value of π as 3.14159 which is correct to five decimal places. (See this History Topic.)
Iamblichus writes on astrology and mysticism. His Life of Pythagoras is a fascinating account.
Pappus of Alexandria writes Synagoge (Collections) which is a guide to Greek geometry.
Theon of Alexandria produces a version of Euclid's Elements (with textual changes and some additions) on which almost all subsequent editions are based.
Hypatia writes commentaries on Diophantus and Apollonius. She is the first recorded female mathematician and she distinguishes herself with remarkable scholarship. She becomes head of the Neo-Platonist school at Alexandria.
Proclus, a mathematician and Neo-Platonist, is one of the last philosophers at Plato's Academy at Athens.
Zu Chongzhi gives the approximation 355/113 to π which is correct to 6 decimal places. (See this History Topic.)
Aryabhata I calculates π to be 3.1416. He produces his Aryabhatiya, a treatise on quadratic equations, the value of π, and other scientific problems.
Metrodorus assembles the Greek Anthology consisting of 46 mathematical problems.
List of mathematicians alive in 500.
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JOC/EFR May 2015
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Mathematics and Statistics|
University of St Andrews, Scotland