Mathematics in ancient India |
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| Authors: | Amartya Kumar Dutta |
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| Institution: | (1) Indian Statistical Institute, 203, BT Road, 700 032 Kolkata, India |
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| Abstract: | In this series of articles, we intend to have a glimpse of some of the landmarks in ancient Indian mathematics with special
emphasis on number theory. This issue features a brief overview of some of the high peaks of mathematics in ancient India.
In the next part we shall describe Aryabhata’s general solution in integers of the equationax -by =c. In subsequent instalments we shall discuss in some detail two of the major contributions by Indians in number theory. The
climax of the Indian achievements in algebra and number theory was their development of the ingeniouschakravala method for solving, in integers, the equation x2 -Dy2 = 1, erroneously known as the Pell equation. We shall later describe the partial solution of Brahmagupta and then the complete
solution due to Jayadeva and Bhaskaracharya. |
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| Keywords: | Taittiriya Samhita Sulba-sutras Chakravala method Meru-Prastara Vedic altars Yuktibhasa Madhava series |
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