Photo: Jyesthadeva (author) J. L. Whish (collector) · Public domain
Science · c. 1350–1650 CE

The Kerala school of astronomy and mathematics

Found
Villages on the Nila (Bharathappuzha) in Kerala, from Sangamagrama to Tirur; palm-leaf manuscripts in Malayalam and Sanskrit
Kept at
Palm-leaf manuscripts in Kerala collections; printed editions

A line of teachers and pupils, begun by Madhava of Sangamagrama, who found infinite series for pi and for the sine and cosine some three centuries before Europe.

What it says

Madhava (c. 1340–1425) gave the series in which pi divided by four equals one minus a third plus a fifth minus a seventh, without end, along with ways to correct its tail, and the series for sine and cosine. Nilakantha Somayaji set these out in the Tantrasangraha (1500), and Jyeshthadeva wrote the Yuktibhasha (c. 1530) in Malayalam, giving their proofs. Charles Whish brought them to European notice in a paper of 1834.

What it proves

It shows calculus-like methods worked out in Kerala, in an unbroken guru-shishya line, long before Newton and Leibniz.

Evidence for