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Madhava of Sangamagrama
Madhava of Sangamagrama was born near Cochin on the coast in the Kerala state in southwestern India. It is only due to research into Keralese mathematics over the last twenty-five years that the remarkable contributions of Madhava have come to light.
In [10] Rajagopal and Rangachari put his achievement into context when they write:-
[Madhava] took the decisive step onwards from the finite procedures of ancient mathematics to treat their limit-passage to infinity, which is the kernel of modern classical analysis.All the mathematical writings of Madhava have been lost, although some of his texts on astronomy have survived.
However his brilliant work in mathematics has been largely discovered by the reports of other Keralese mathematicians such as Nilakantha who lived about years later.
Madhava discovered the series equivalent to the Maclaurin expansions of sin x, cos x, and arctanx around , which is over two hundred years before they were rediscovered i