16th century Indian mathematician
Chitrabhanu (IAST :Citrabhānu fl. 16th century ) was a mathematician of the Kerala school and a student ofNilakantha Somayaji . He was aNambudiri brahmin from the town of Covvaram near present dayTrissur .[ 1] karaṇa algebraic treatise, and a commentary on a poetic text.Nilakantha and he were both teachers ofShankara Variyar .[ 2] [ 3]
He gave integer solutions to 21 types of systems of twosimultaneous Diophantine equations in two unknowns.[ 2] [ 4]
x + y = a , x − y = b , x y = c , x 2 + y 2 = d , x 2 − y 2 = e , x 3 + y 3 = f , x 3 − y 3 = g {\displaystyle \ 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}
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.
^ Joseph, George Gheverghese (10 December 2009).A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact ISBN 9788132104810 ^a b Joseph, George Gheverghese (2009),A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact ISBN 9788132104810 ^ Plofker, Kim (2009).Mathematics in India 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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