Steven Strogatz: The Infinite Power of Calculus

#Calculus #Math #SmallWorldTheory
Steven Strogatz is the Jacob Gould Schurman Professor of Applied Mathematics at Cornell University. After graduating summa cum laude in mathematics from Princeton in 1980, Strogatz studied at Trinity College, Cambridge, where he was a Marshall Scholar. He did his doctoral work in applied mathematics at Harvard. From 1989 to 1994, Strogatz taught in the Department of Mathematics at MIT. He joined the Cornell faculty in 1994.

Strogatz has broad research interests. Early in his career, he worked on a variety of problems in mathematical biology, including the geometry of supercoiled DNA, the dynamics of the human sleep-wake cycle, the topology of three-dimensional chemical waves, and the collective behavior of biological oscillators, such as swarms of synchronously flashing fireflies. In the 1990s, his work focused on nonlinear dynamics and chaos applied to physics, engineering, and biology. Several of these projects dealt with coupled oscillators, such as lasers, superconducting Josephson junctions, and crickets that chirp in unison. In the past few years, this has led him into such topics as the role of crowd synchronization in the wobbling of London’s Millennium Bridge on its opening day, and the dynamics of structural balance in social systems.

His best-known research contribution is his 1998 Nature paper on "small-world" networks, co-authored with his former student Duncan Watts. It's the sixth most highly cited paper—on any topic—in physics. It has now been cited more than 40,000 times, according to Google Scholar.

Strogatz's writing for the general public includes five books and frequent newspaper articles. His book Sync was chosen as a Best Book of 2003 by Discover Magazine. His 2009 book The Calculus of Friendship was called "a genuine tearjerker" and "part biography, part autobiography and part off-the-beaten-path guide to calculus". His 2012 book, The Joy of x, won the 2014 Euler Book Prize.

His latest book is Infinite Powers, which, recounts the history of calculus and explains how it works and why it makes our lives immeasurably better.

http://www.stevenstrogatz.com/

00:00:00 Intro
00:03:20 Who was Herman Wouk and why do you start you book with him?
00:08:38 Should we train mathematicians to be good communicators?
00:16:19 On the significance of time, and the entropy of happiness. Is time the emotional dimension?
00:17:51 Small world theory, and one of the most cited papers of all time.
00:21:30 The thermodynamics of happiness and family size.
00:30:10 Can anyone understand infinity?
00:46:33 Are we becoming too connected?
00:53:44 What do you think about the idea that God in science?
00:57:03 The history of science! Carefully.
01:08:22 Intuition first, rigor later.
01:13:21 Is string theory to beautiful to be wrong?
01:17:12 Final Thrilling Three: Ethical Will, Billion Year Monument, Advice to your younger self.

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