Intuitions for divergence and curl, and where they come up in physics.

Thoughts on going sponsor-free: https://www.patreon.com/posts/19586800

Special thanks to these supporters:

http://3b1b.co/divcurl-thanks

My former work on divergence and curl at Khan Academy:

https://www.khanacademy.org/math/multivariable-calculus/multivariable-derivatives

For more fun fluid-flow illustrations, which heavily influenced how I animated this video, I think you’ll really enjoy this site:

https://anvaka.github.io/fieldplay/

Music by Vincent Rubinetti:

https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

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, and click the bell to receive notifications (if you’re into that).

If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended

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