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Aryabhata ( ISO: Āryabhaṭa) or Aryabhata I [3] [4] (476–550 CE) [5] [6] was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya (which mentions that in 3600 Kali Yuga , 499 CE, he was 23 years old) [ 7 ] and the Arya- siddhanta .
Following the Ganitapada, the next section is the "Kalakriya" or "The Reckoning of Time." In it, Aryabhata divides up days, months, and years according to the movement of celestial bodies. He divides up history astronomically; it is from this exposition that a date of AD 499 has been calculated for the compilation of the Aryabhatiya. [4]
Indian astronomy flowered in the 5th–6th century, with Aryabhata, whose work, Aryabhatiya, represented the pinnacle of astronomical knowledge at the time. The Aryabhatiya is composed of four sections, covering topics such as units of time, methods for determining the positions of planets, the cause of day and night, and several other ...
Aryabhata II also deduced a method to calculate the cube root of a number, but his method was already given by Aryabhata I, many years earlier. Indian mathematicians were very keen to give the correct sine tables since they played a vital role to calculate the planetary positions as accurately as possible.
The half-chord version of the sine function was developed by the Indian mathematician Aryabhatta. ... and is an important contribution of India in the world of science.
Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern era. One of such works is Hindu numeral system which is predominantly used today and is likely to be used in the future.
The Indian geographical knowledge that was transmitted and influenced the Arabs included the view of Aryabhata that the apparent daily rotation of the heavens was caused by the rotation of the earth on its own axis, the idea that the proportion of land and sea on the surface of the earth was half and half and the land mass as being dome shaped ...
499: Aryabhata discovers the formula for the square-pyramidal numbers (the sums of consecutive square numbers). [80] 499: Aryabhata discovers the formula for the simplicial numbers (the sums of consecutive cube numbers). [80] 499: Aryabhata discovers Bezout's identity, a foundational result to the theory of principal ideal domains. [81]