Explore the fascinating world of 14th-century Indian mathematics in this 27-minute video that uncovers Powell's Pi Paradox and its connection to the groundbreaking work of Madhava of Saṅgamagrāma. Delve into the history of calculus, discovering how Indian mathematicians predated Newton and Leibniz by two centuries. Learn about Madhava's innovative formula for calculating pi and understand the counterintuitive properties of the Leibniz series. Follow along as the video provides an intuitive explanation of the paradox using Madhava's correction terms, challenging traditional narratives about the origins of calculus. Gain insights into the Kerala school of astronomy and mathematics, and appreciate the significance of ancient Indian contributions to mathematical knowledge. The presentation includes detailed time stamps, additional resources for further study, and notes on minor errors in the video for a comprehensive learning experience.
Overview
Syllabus
Intro
Powell's Piradox :
Calculus made in India
Explanation of the paradox using Madhava's correction terms
Calculus: Neither Newton nor Leibniz
Palm leaf music sequence
Thanks!
one of the digit difference towards the end not highlighted
In the 121 terms sums the correction terms features a minus in the place of a plus e.g.
In the fourth correction term it should be ...N+9/4N
one of the digit difference towards the end not highlighted
In the 121 terms sums the correction terms features a minus in the place of a plus.
In the fourth correction term it should be ...N+9/4N
Taught by
Mathologer
