Aryabhata II
Āryabhaṭa (c. 920 – c. 1000)Āryabhaṭa I. Scholars are unsure of when exactly he was born, though David Pingree dates of his main publications between 950–1100.[1][2] The manuscripts of his Maha-Siddhanta have been discovered from Gujarat, Rajasthan, Uttar Pradesh, and Bengal, so he probably lived in northern India.[2]
Maha Siddhanta
Aryabhata wrote Maha-Siddhanta, also known as Arya-siddhanta,
Shridhara's work.[2]
The initial twelve chapters deal with topics related to
longitudes of the planets, lunar and solar eclipses
, the estimation of eclipses, the lunar crescent, the rising and setting of the planets, association of the planets with each other and with the stars.
The next six chapters of the book includes topics such as
indeterminate equation
: by = ax + c. These rules have been applied to a number of different cases such as when c has a positive value, when c has a negative value, when the number of the quotients is an even number, when this number of quotients is an odd number, etc.
Other contributions to maths
Aryabhata II also deduced a method to calculate the
sine tables
since they played a vital role to calculate the planetary positions as accurately as possible. Aryabhata II played a vital role in it by constructing a sine table, which was accurate up to five decimal places.
References
- ^ a b "Aryabhata II - Biography". Maths History: University of St Andrews. Retrieved 16 July 2022.
- ^ a b c David Pingree, ed. (1970). Census of the Exact Sciences in Sanskrit Series A. Vol. 1. American Philosophical Society. p. 53.
- O'Connor, John J.; Robertson, Edmund F., "Aryabhata II", MacTutor History of Mathematics Archive, University of St Andrews
Further reading
- Vagiswari, A. (2007). "Āryabhaṭa II". In Thomas Hockey; et al. (eds.). The Biographical Encyclopedia of Astronomers. New York: Springer. p. 64. ISBN 978-0-387-31022-0. (PDF version)
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