2021-04-01

[public] 972K views, 76.1K likes, 249 dislikes audio only

3Blue1Brown

General exponentials, love, Schrödinger, and more.

Help fund future projects: https://www.patreon.com/3blue1brown

An equally valuable form of support is to simply share some of the videos.

Special thanks to these supporters: https://3b1b.co/mat-exp-thanks

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

------------------

The Romeo-Juliet example is based on this essay by Steven Strogatz:

http://www.stevenstrogatz.com/essays/loves-me-loves-me-not-do-the-math

The book shown at the start is Vladimir Arnold's (excellent) textbook on ordinary differential equations.

https://amzn.to/3dtXSwj

Need a review of ordinary powers of e?

/youtube/video/m2MIpDrF7Es

Or of linear algebra?

/youtube/video/kYB8IZa5AuE

Timetable

0:00 - Definition

6:40 - Dynamics of love

13:17 - Linear systems

20:03 - General rotations

22:11 - Visualizing with flow

------------------

Code for this video:

https://github.com/3b1b/videos/blob/master/_2021/matrix_exp.py

These animations made using a custom python library, manim. See the FAQ comments here:

https://www.3blue1brown.com/faq#manim

https://github.com/3b1b/manim

You can find code for specific videos and projects here:

https://github.com/3b1b/videos/

Music by Vincent Rubinetti.

https://www.vincentrubinetti.com/

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

------------------

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