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: brilliant.org/...
Brilliant is a great site/app for being more active in learning math.
Note from Strogatz's high school geometry:
st...
-- Books by Strogatz which we discussed --
Chaos and Nonlinear dynamics
amzn.to/3lFQjrU
Infinite powers
amzn.to/3AnvXIg
Unpublished appendix about Newton's letters to Leibniz:
static1.square...
-- Other things which came up --
Strogatz's senior thesis:
static1.square...
His first published paper:
www.pnas.org/c...
Crick’s paper about linking numbers and nucleosomes with the memorable comment that inspired his experiment with the ribbon:
www.pnas.org/c...
The 4-dog chase problem and its solution.
www.theguardia...
www.theguardia...
For a full solution with calculus, see Strogatz's book "The Calculus of Friendship"
amzn.to/3CyVe48
Survey for kids on their desired occupation:
www.prnewswire...
A radical approach to real analysis
amzn.to/2VwtgF3
Twitter thread on what, morally, a normal subgroup is.
/ 1296211024534622208
Leibniz formula via patterns from primes
• Pi hiding in prime reg...
-- 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?
17 авг 2024
