Chitrabhanu (Template:IAST3; Template:Flourished) 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 Template:IAST, 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]
<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>
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
- ↑ A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact{{#if:|, {{{last}}}}(10 December 2009). ISBN 9788132104810
- ↑ 2.0 2.1 A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact. SAGE Publications India..
- ↑ Mathematics in India{{#if:|, {{{last}}}}. Princeton University Press(2009). ISBN 9780691120676
- ↑ [{{{url}}} Twenty-one algebraic normal forms of Citrabhānu]..
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