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The 3b1b podcast
Grant Sanderson
5 episodes
4 days ago
Interviews about math, outreach, and more. Hosted by Grant Sanderson, the creator of 3blue1brown
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Education
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All content for The 3b1b podcast is the property of Grant Sanderson and is served directly from their servers with no modification, redirects, or rehosting. The podcast is not affiliated with or endorsed by Podjoint in any way.
Interviews about math, outreach, and more. Hosted by Grant Sanderson, the creator of 3blue1brown
Show more...
Education
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3 - Steven Strogatz: In and out of love with math
The 3b1b podcast
1 hour 54 minutes 7 seconds
4 years ago
3 - Steven Strogatz: In and out of love with math

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Unpublished appendix about Newton's letters to Leibniz: 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 ---

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?

The 3b1b podcast
Interviews about math, outreach, and more. Hosted by Grant Sanderson, the creator of 3blue1brown