Madhava of Sangamagrama
Sciences & Discovery • Historical Archive • 🇮🇳 India • 9 views

Madhava of Sangamagrama 🇮🇳

മാധവൻ (സംഗമഗ്രാമ മാധവൻ) (Known as "Founder of the Kerala School of Mathematics")
Mathematician, Astronomer, Discoverer of Infinite Series & Calculus
Born c. 1340 CE 🇮🇳 Sangamagrama (Irinjalakuda, Kerala), India
Passed Away c. 1425 CE Irinjalakuda (Kerala), India
Lifespan 85 years old
9 views
Notice / Correction
"The chord of an arc is obtained by an infinite sequence of additions and subtractions, approaching perfection through the infinite."

Archival Overview

Founder of the Kerala School of Astronomy and Mathematics who discovered infinite power series expansions for sine, cosine, and arctangent (the Madhava-Leibniz series) 250 years before Newton.

Biographical Record

Madhava of Sangamagrama (c. 1340–1425 CE) lived in the lush coastal kingdom of Kerala in southern India, founding the Kerala School of Astronomy and Mathematics that flourished for over two centuries. He made one of the greatest leaps in the history of mathematics: the transition from finite algorithmic algebra to the infinite analysis of mathematical calculus.

Madhava discovered the infinite series expansions for $sin x$, $cos x$, and $arctan x$ (rediscovered in Europe by Gregory and Leibniz in the late 17th century), utilizing term-by-term integration. He applied his series to compute $pi$ to 11 decimal places (3.14159265359), providing error correction terms that anticipated modern numerical analysis.

Key Life Milestones

c. 1380 CE

Discovery of the Infinite Series for Pi and Arctan

Formulated the power series expansion for arctangent and Pi centuries before Gregory and Leibniz.

c. 1400 CE

Discovery of the Sine and Cosine Power Series

Derived the infinite Taylor-Maclaurin series for trigonometric sine and cosine functions in his astronomical calculations.

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Final Resting Place

Perpetual Memorial
Irinjalakuda Koodalmanikyam Heritage Site
Irinjalakuda (Thrissur, Kerala), India
GPS: 10.3442, 76.2086
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