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Chitrabhanu (mathematician): Difference between revisions
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<math>\ x + y = a, x - y = b, xy = c, x^2 + y^2 = d, x^2 - y^2 = e, x^3 + y^3 = f, x^3 - y^3 = g</math> | <math>\ x + y = a, x - y = b, xy = c, x^2 + y^2 = d, x^2 - y^2 = e, x^3 + y^3 = f, x^3 - y^3 = g</math> | ||
Revision as of 19:42, 6 July 2021
Chitrabhanu (IAST: Citrabhānu; fl. 16th century) was a mathematician of the Kerala school and a student of Nilakantha Somayaji. He was a Nambudiri brahmin from the town of Covvaram near present day Trissur.[1] He is noted for a karaṇa, a concise astronomical manual, dated to 1530, an algebraic treatise, and a commentary on a poetic text. Nilakantha and he were both teachers of Shankara Variyar.[2][3]
Contributions
He gave integer solutions to 21 types of systems of two simultaneous Diophantine equations in two unknowns.[2] These types are all the possible pairs of equations of the following seven forms:[4]
For each case, Chitrabhanu gave an explanation and justification of his rule as well as an example. Some of his explanations are algebraic, while others are geometric.
References
- ↑ https://books.google.com.au/books?id=rNKGAwAAQBAJ&pg=PA21&redir_esc=y&hl=en#v=onepage&q&f=false
- ↑ 2.0 2.1 Joseph, George Gheverghese (2009), A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact, SAGE Publications India, p. 21, ISBN 9788132104810.
- ↑ Plofker, Kim (2009). Mathematics in India. Princeton: Princeton University Press. pp. 220, 319, 323. ISBN 9780691120676.
- ↑ Hayashi, Takao; Kusuba, Takanori (1998), "Twenty-one algebraic normal forms of Citrabhānu", Historia Mathematica, 25 (1): 1–21, doi:10.1006/hmat.1997.2171, MR 1613702.
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