## Mathematics in Kerala during 1350-1600 AD |

**
Did you
know that Mathematics flourished in what is the present day Kerala, in
India during this period and that great mathematicians lived in this area?
Madhava (1340-1425), who belonged to the area of Cochin, knew the
series now known as the Gregory series, discovered by the Scottish mathematician
Gregory in 1667. **

**
It is: arctan(x) =
x - x^3/3 + x^5/5 +.... for abs(x)
< 1.
He also knew the series expansion for sin(x). **

**
He gave the value of pi correct to eleven
decimal
places!**

**
Nilakantha Somayaji
(c. 1444-1545) improved upon the series techniques of Madhava. He
also proposed a heliocentric model of the solar system.**

- George Gheverghese Joseph: The Crest of the Peacock: Non-European Roots of Mathematics (3rd Edition, jointly published by Princeton University Press and Penguin Books 2000).
- Link to History of Indian Mathematics School of Mathematics and Statistics at University_of_St_Andrews,_Scotland.
- S. Parameswaran: The Golden age of Indian Mathematics, published by Swedeshi Science Movement, Convent Road, Cochin-35, Kerala (1998).