Steven Strogatz: In and out of love with math | 3b1b podcast #3

Steven Strogatz, an applied mathematician at Cornell, is a prominent figure in the field of nonlinear dynamics and chaos, and a widely beloved popularizer of math. Episode sponsor: https://brilliant.org/3b1b Brilliant is a great site/app for being more active in learning math. Note from Strogatz's high school geometry: https://twitter.com/stevenstrogatz/st... -- Books by Strogatz which we discussed -- Chaos and Nonlinear dynamics https://amzn.to/3lFQjrU Infinite powers https://amzn.to/3AnvXIg Unpublished appendix about Newton's letters to Leibniz: https://static1.squarespace.com/stati... -- Other things which came up -- Strogatz's senior thesis: https://static1.squarespace.com/stati... His first published paper: https://www.pnas.org/content/pnas/78/... Crick’s paper about linking numbers and nucleosomes with the memorable comment that inspired his experiment with the ribbon: https://www.pnas.org/content/pnas/73/... The 4-dog chase problem and its solution. https://www.theguardian.com/science/2... https://www.theguardian.com/science/2... For a full solution with calculus, see Strogatz's book "The Calculus of Friendship" https://amzn.to/3CyVe48 Survey for kids on their desired occupation: https://www.prnewswire.com/news-relea... A radical approach to real analysis https://amzn.to/2VwtgF3 Twitter thread on what, morally, a normal subgroup is.   / 1296211024534622208   Leibniz formula via patterns from primes    • Pi hiding in prime regularities   -- Table of contents -- 0:00 - Intro 1:15 - Ad 1:59 - The perfect problem for a high school student 12:43 - Starting the Princeton undergrad 22:52 - The most beautiful proof 26:58 - What makes someone love a problem? 36:05 - Putting lessons online 41:57 - In and out of pre-med 47:05 - The geometry of DNA 58:53 - Using teaching as a means to learn 1:09:47 - Do students like history? 1:18:39 - The truth of Newton and Leibniz 1:23:29 - Archimedes, a true great 1:28:32 - Pitfalls of pure math exposition 1:39:03 - "Morality" in math 1:43:20 - An under-motivated culture 1:51:48 - What's next?