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Eutocius of Ascalon writes commentaries on Archimedes' work.
Boethius writes geometry and arithmetic texts which are widely used for a long time.
Eutocius writes commentaries on the works of Archimedes and Apollonius.
Anthemius of Tralles, a mathematician of note, is the architect for the Hagia Sophia at Constantinople. (See this History Topic.)
Chinese mathematics is introduced into Japan.
Varahamihira produces Pancasiddhantika (The Five Astronomical Canons). He makes important contributions to trigonometry.
Decimal notation is used for numbers in India. This is the system on which our current notation is based. (See this History Topic.)
Brahmagupta writes Brahmasphutasiddanta (The Opening of the Universe), a work on astronomy; on mathematics. He uses zero and negative numbers, gives methods to solve quadratic equations, sum series, and compute square roots.
Li Chunfeng starts to assemble the Chinese Ten Mathematical Classics. (See this History Topic.)
Mathematicians in the Mayan civilization introduce a symbol for zero into their number system. (See this History Topic.)
Alcuin of York writes elementary texts on arithmetic, geometry and astronomy.
House of Wisdom set up in Baghdad. There Greek and Indian mathematical and astronomy works are translated into Arabic.
Al-Khwarizmi writes important works on arithmetic, algebra, geography, and astronomy. In particular Hisab al-jabr w'al-muqabala (Calculation by Completion and Balancing), gives us the word "algebra", from "al-jabr". From al-Khwarizmi's name, as a consequence of his arithmetic book, comes the word "algorithm".
Thabit ibn Qurra makes important mathematical discoveries such as the extension of the concept of number to (positive) real numbers, integral calculus, theorems in spherical trigonometry, analytic geometry, and non-euclidean geometry.
Thabit ibn Qurra writes Book on the determination of amicable numbers which contains general methods to construct amicable numbers. He knows the pair of amicable numbers 17296, 18416.
Mahavira writes Ganita Sara Samgraha. It consists of nine chapters and includes all mathematical knowledge of mid-ninth century India.
Sridhara writes the Trisatika (sometimes called the Patiganitasara) and the Patiganita. In these he solves quadratic equations, sums series, studies combinations, and gives methods of finding the areas of polygons.
Abu Kamil writes Book on algebra which studies applications of algebra to geometrical problems. It will be the book on which Fibonacci will base his works.
List of mathematicians alive in 900.
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JOC/EFR May 2015
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Mathematics and Statistics|
University of St Andrews, Scotland