Mathologer

A double feature on magic squares featuring Bachet's algorithm embedded in the Korean historical drama series Tree with deep roots and the Lee Sallow's geomagic squares.

Around 1400 there lived an Indian astronomer and mathematician by the name of Madhava of Saṅgamagrāma. He was the greatest mathematician of his time and, among other mathematical feats, he and his followers managed to discover a lot of calculus 200 years before Newton and Leibniz did their thing. While preparing a video about this Indian calculus it occurred to me that some of Madhava's discoveries can be used to give a nice intuitive explanation of Powell's Pi Paradox, a very counterintuitive property of the famous Leibniz formula π/4=1–1/3+1/5–1/7+1/9–... that Martin Powell stumbled upon in 1983. In the end, giving an introduction to Madhava's discoveries and giving that intuitive explanation is what I ended up doing in this video. ("Leibniz formula" should really be "Madhava formula"!)

Original Title: The Genius Equation: Deep Inside Ramanujan's Mind (Mathologer Masterclass) In this masterclass video we'll dive into the mind of the mathematical genius Srivinasa Ramanujan. The focus will be on rediscovering one of his most beautiful identities.

Original Titles: Anti-shapeshifters: easy visual logs and hyperbolic trig, Why don't they teach simple visual logarithms (and hyperbolic trig)? Visual logarithms. Is there such a thing? You bet :)

This video is about a new stunning visual resolution of a very pretty and important paradox that I stumbled across while I was preparing the last video on logarithms.