But what is a partial differential equation? | DE2

From the creator

The heat equation, as an introductory PDE. Strogatz's new book: https://amzn.to/3bcnyw0 Special thanks to these supporters: http://3b1b.co/de2thanks An equally valuable form of support is to simply share some of the videos. Timestamps: 0:00 - Introduction 3:29 - Partial derivatives 6:52 - Building the heat equation 13:18 - ODEs vs PDEs 14:29 - The laplacian 16:04 - Book recommendation Typo corrections: - 1:33 - it should be “Black-Scholes” - 16:21 - it should read "scratch an itch". If anyone asks, I purposefully leave at least one typo in each video, like a Navajo rug with a deliberate imperfection as an artistic statement about the nature of life ;) And to continue my unabashed Strogatz fanboyism, I should also mention that his textbook on nonlinear dynamics and chaos was also a meaningful motivator to do this series, as you'll hopefully see with the topics we build to. Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld ------------------ Animations made using manim, a scrappy open source python library. https://github.com/3b1b/manim If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and has many other quirks you might expect in a library someone wrote with only their own use in mind. Music by Vincent Rubinetti. Download the music on Bandcamp: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown Stream the music on Spotify: https://open.spotify.com/album/1dVyjwS8FBq

Published 2019-04-21 · Watch on YouTube ↗
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