The birth of Aryabhata is traditionally regarded as the beginning of the classical period of Indian mathematics and astronomy.
The Indian mathematician Brahmagupta, in Brahma-Sphuta-Siddhanta (written in A.D. 628), discussed the use of negative numbers to produce the general form quadratic formula that remains in use today.
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The table of sines by the Indian mathematician, Aryabhata, were translated into the Chinese mathematical book of the Kaiyuan Zhanjing, compiled in 718 AD during the Tang Dynasty.
The addition of zero as a tenth positional digit is documented from the 7th century by Brahmagupta, though the earlier Bakhshali Manuscript, written sometime before the 5th century, also included zero.
The Indian mathematician Brahmagupta (597–668 AD) was first to clearly describe the quadratic formula, although prior civilizations had investigated quadratic equations, understood them fairly well, and developed methods for solving them.