Madhava's work on Pi is cited in the Mahajyānayana prakāra ("Methods for the great sines"). The text explains the infinite series expansion of π now known as the Madhava-Leibniz series. The most impressive thing about it is that he gave a correction term, for the error after computing the sum up to n terms. He gave 3 expressions for the correction term. And the third correction leads to the highly accurate computation of π. It has been speculated that Madhava found these correction terms through a finite continued fraction.

Madhava also laid the foundations for the development of calculus, which has been credited to Newton and Leibniz (*casually sips tea*). But a team from the universities of Manchester and Exeter say that credit for this lies with the "Kerala school," "notably Madhava and Nilakantha". While not diminishing the contributions of these European scholars, the theory that Madhava's work influenced Europe cannot be disproven. As at the time, the port of Muziris, near Madhava's dwelling was a major centre of maritime trade and scholars, such as G. Joseph of the U. Manchester have suggested that the writings of the Kerala school may have also been transmitted to Europe around this time, a century before Newton.