SOBRE ESTE EPISÓDIO
Three hundred years before Newton, a Kerala scholar was already writing infinite series for sine and cosine. Why has almost no one heard his name?
In fourteenth-century Kerala, Madhava calculated pi to eleven decimal places using nothing but a palm leaf and a metal stylus, coming within four digits of the precision NASA later used to navigate spacecraft. His methods, refined over two centuries by scholars like Jyeshtadeva and Nilakantha Somayaji, anticipated core ideas of calculus and even proposed a partial heliocentric model decades before Copernicus.
Today, that same mathematics quietly underpins the sine-wave processing inside your smartphone and the numerical methods taught at IIT Madras and MIT. This episode traces how a tradition this advanced was studied by the British in 1835, then left out of the textbooks anyway.
00:00 - Kerala Mathematician Who Predated Newton's Calculus by 300 Years
00:46 - Madhava of Sangamagrama: Palm Leaf Manuscripts in Monsoon Kerala
01:14 - Pi Calculated to 11 Decimal Places Centuries Before Modern Computing
01:42 - Kerala School of Astronomy and Mathematics: A Living Guru-Shishya Tradition
02:07 - Infinite Series for Sine, Cosine and Arctangent (Precursor to Taylor Series)
02:32 - Why Eclipse Predictions Mattered: Astronomer-Priests and Temple Authority
03:25 - Jyeshthadeva's Yuktibhasha: India's First Proof-Based Mathematics Text (1530 CE)
04:36 - Nilakantha Somayaji's Planetary Model: Partial Heliocentrism Before Copernicus
05:12 - Madhava-Gregory Series and the Proof of Pi's Irrationality
05:42 - Charles Whish Discovers Kerala's Calculus in 1835 (Royal Asiatic Society Paper)
06:15 - Colonial Erasure: Why Newton and Leibniz Got the Credit Instead
06:42 - Kerala's Mathematical Legacy: GPS, Smartphones and Modern Engineering
