Chitrabhanu (mathematician): Difference between revisions

'''Chitrabhanu''' ({{IAST3|Citrabhānu}}; {{flourished|16th century}}) was a mathematician of the [[Kerala school of astronomy and mathematics|Kerala school]] and a student of [[Nilakantha Somayaji]]. He was a [[Nambudiri]] brahmin from the town of Covvaram near present day [[Trissur]].<ref>{{Cite book|url=https://books.google.com/books?id=rNKGAwAAQBAJ&pg=PA21|title = A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact|isbn = 9788132104810|last1 = Joseph|first1 = George Gheverghese|date = 10 December 2009}}</ref> He is noted for a {{IAST|karaṇa}}, a concise astronomical manual, dated to 1530, an [[algebra]]ic treatise, and a commentary on a poetic text. [[Nilakantha Somayaji|Nilakantha]] and he were both teachers of [[Shankara Variyar]].<ref name="ggj" /><ref name="plofker">{{cite book|last1=Plofker|first1=Kim|title=Mathematics in India|title-link=Mathematics in India (book)|date=2009|publisher=[[Princeton University Press]]|location=Princeton|isbn=9780691120676|pages=[https://books.google.com/books?id=DHvThPNp9yMC&pg=PA220 220, 319, 323]}}</ref>

He gave integer solutions to 21 types of systems of two [[simultaneous equation|simultaneous]] [[Diophantine equation|Diophantine]] equations in two unknowns.<ref name="ggj">{{citation|title=A Passage to Infinity: Medieval Indian Mathematics from Kerala and Its Impact|first=George Gheverghese|last=Joseph|publisher=SAGE Publications India|year=2009|isbn=9788132104810|page=21|url=https://books.google.com/books?id=rNKGAwAAQBAJ&pg=PA21}}.</ref> These types are all the possible pairs of equations of the following seven forms:<ref>{{citation