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But what is a partial differential equation? | DE2

2019-04-21

[public] 1.47M views, 68.9K likes, 262 dislikes audio only

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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

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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/1dVyjwS8FBqXhRunaG5W5u

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

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3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe

Various social media stuffs:

Website: https://www.3blue1brown.com

Twitter: https://twitter.com/3blue1brown

Reddit: https://www.reddit.com/r/3blue1brown

Instagram: https://www.instagram.com/3blue1brown_animations/

Patreon: https://patreon.com/3blue1brown

Facebook: https://www.facebook.com/3blue1brown


Typo: "Sholes" should read "Scholes" Typo! *Black-Scholes
https://www.3blue1brown.com/
The paradox of the derivative | Chapter 2, Essence of calculus by 3Blue1Brown
/youtube/video/9vKqVkMQHKk
Typo: *an *an
https://www.3blue1brown.com/
Introduction
/youtube/video/ly4S0oi3Yz8?t=0
Partial derivatives
/youtube/video/ly4S0oi3Yz8?t=209
Building the heat equation
/youtube/video/ly4S0oi3Yz8?t=412
ODEs vs PDEs
/youtube/video/ly4S0oi3Yz8?t=798
The laplacian
/youtube/video/ly4S0oi3Yz8?t=869
Book recommendation
/youtube/video/ly4S0oi3Yz8?t=964
At.it should read "scratch an itch".
/youtube/video/ly4S0oi3Yz8?t=981
Support 3blue1brown.com
https://www.3blue1brown.com/support
3Blue1Brown 3Blue1Brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
/youtube/channel/UCYO_jab_esuFRV4b17AJtAw
Solving the heat equation | DE3 1,077,619 views
/youtube/video/ToIXSwZ1pJU