Divergence and curl: The language of Maxwell's equations, fluid flow, and more

(See below for small-but-important error correction)
More thoughts from the end: https://www.patreon.com/posts/19586800
Special thanks: http://3b1b.co/divcurl-thanks

Error: At 4:55, the narration should say "counterclockwise rotation gives positive curl, clockwise rotation gives negative curl". The diagram is correct, though.

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

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Видео Divergence and curl: The language of Maxwell's equations, fluid flow, and more канала 3Blue1Brown