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About 500

Metrodorus assembles the

510

Eutocius of Ascalon writes commentaries on Archimedes' work.

510

Boethius writes geometry and arithmetic texts which are widely used for a long time.

About 530

Eutocius writes commentaries on the works of Archimedes and Apollonius.

532

Anthemius of Tralles, a mathematician of note, is the architect for the Hagia Sophia at Constantinople. (See this History Topic.)

534

Chinese mathematics is introduced into Japan.

575

Varahamihira produces *Pancasiddhantika* (*The Five Astronomical Canons*). He makes important contributions to trigonometry.

594

Decimal notation is used for numbers in India. This is the system on which our current notation is based. (See this History Topic.)

628

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.

644

Li Chunfeng starts to assemble the Chinese Ten Mathematical Classics. (See this History Topic.)

About 700

Mathematicians in the Mayan civilization introduce a symbol for zero into their number system. (See this History Topic.)

About 775

Alcuin of York writes elementary texts on arithmetic, geometry and astronomy.

About 810

House of Wisdom set up in Baghdad. There Greek and Indian mathematical and astronomy works are translated into Arabic.

About 810

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".

About 850

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.

About 850

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.

850

Mahavira writes *Ganita Sara Samgraha*. It consists of nine chapters and includes all mathematical knowledge of mid-ninth century India.

900

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.

About 900

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 500.

List of mathematicians alive in 900.

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