Madhava of Sangamagrama

A mathematician of late-fourteenth-century Kerala who studied infinite series for π and trigonometric functions. Madhava’s mathematical writings are lost, but later Kerala authors including Nilakantha and Jyesthadeva report results attributed to him. They include the π/4 series now often called the Gregory-Leibniz series, series corresponding to sin, cos, and arctan, an approximation of π to eleven decimal places, and correction terms that improve convergence. These results predate comparable European rediscoveries by more than two centuries. Direct transmission from Kerala to Europe has been proposed, but the surviving evidence does not establish a specific route. Madhava’s work is therefore most safely understood as an achievement of an independently developed Kerala mathematical tradition.

This is a thought experiment about influence, not a verified historical fact.

Without Madhava’s work, the Kerala school’s development of infinite series and numerical approximation might have followed a different path. European calculus arose within separate traditions, so its existence cannot be made to depend on one person; earlier circulation of Madhava’s work could nevertheless have changed patterns of exchange and the way this history was later told.