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The 3b1b podcast
Grant Sanderson
3 - Steven Strogatz: In and out of love with math - episode of The 3b1b podcast podcast

3 - Steven Strogatz: In and out of love with math

1 hour 54 minutes Posted Aug 7, 2021 at 10:39 pm.
Intro
Ad
The perfect problem for a high school student
Starting the Princeton undergrad
The most beautiful proof
What makes someone love a problem?
Putting lessons online
In and out of pre-med
The geometry of DNA
Using teaching as a means to learn
Do students like history?
The truth of Newton and Leibniz
Archimedes, a true great
Pitfalls of pure math exposition
"Morality" in math
An under-motivated culture
What's next?
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1:54:07
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Show notes
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.
--- 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Unpublished appendix about Newton's letters to Leibniz: 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/static/5436e695e4b07f1e91b30155/t/5dd434fb9d105d031ded69de/1574188283323/Appendix+2+-+Newton+on+infinite+series+and+the+Epistola+Posterior+v4.pdf
--- Other things which came up ---
Strogatz's senior thesis:
https://static1.squarespace.com/static/5436e695e4b07f1e91b30155/t/5dca1c993141bb5946c54b45/1573526688118/The-mathematics-of-supercoiled-DNA.pdf
His first published paper:
https://www.pnas.org/content/pnas/78/3/1461.full.pdf
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/73/8/2639.full.pdf
The 4-dog chase problem and its solution.
https://www.theguardian.com/science/2019/jun/03/can-you-solve-it-dogs-in-pursuit
https://www.theguardian.com/science/2019/jun/03/did-you-solve-it-dogs-in-pursuit
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-releases/lego-group-kicks-off-global-program-to-inspire-the-next-generation-of-space-explorers-as-nasa-celebrates-50-years-of-moon-landing-300885423.html
 
A radical approach to real analysis
https://amzn.to/2VwtgF3
Twitter thread on what, morally, a normal subgroup is.
https://mobile.twitter.com/sbagley/status/1296211024534622208
Leibniz formula via patterns from primes
https://youtu.be/NaL_Cb42WyY
--- Table of contents ---