The Importance of Calculus in Small Worlds

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Sean: I completely agree with you that people just don't quite appreciate how absolutely universal it is and if you really get what calculus is trying to tell you your view of the world changes in a profound way perfect right exactly so I feel like that that needs to be better known that this shouldn't just be for insiders you know. Steve: Yes, there's a pre-existing resonance with the word calculus in many people's minds and it won't always be positive okay my pleasure I want to read more about small worlds and scale-free networks and things like that and maybe we'll have you on the podcast again to dig into them furtherOkay my pleasure I hope I will all right thanks a

One of the most important insights in the history of science is the fact that complex behavior can arise from the undirected movements of small, simple systems. Despite the fact that we know this, we’re still working to truly understand it — to uncover the mechanisms by which, and conditions under which, complexity can emerge from simplicity. (Coincidentally, a new feature in Quanta on this precise topic came out while this episode was being edited.) Steven Strogatz is a leading researcher in this field, a pioneer both in the subject of synchronization and in that of small-world networks. He’s also an avid writer and wide-ranging thinker, so we also talk about problems with the way we educate young scientists, and the importance of calculus, the subject of his new book. Support Mindscape on Patreon or Paypal. Steven Strogatz received his Ph.D. in applied mathematics from Harvard, and is currently the Jacob Gould Schurman Professor of Applied Mathematics at Cornell. His work has ranged over a wide variety of topics in mathematical biology, nonlinear dynamics, networks, and complex systems. He is the author of a number of books, including SYNC, The Joy of x, and most recently Infinite Powers. His awards include teaching prizes at MIT and Cornell, as well as major prizes from the Joint Policy Board for Mathematics, the American Association for the Advancement of Science, the Mathematical Association of America, and the Lewis Thomas Prize. Web site Cornell web page Google scholar page Amazon author page Wikipedia TED talk on synchronization Twitter See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.