Shared June 21, 2018
(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:
For more fun fluid-flow illustrations, which heavily influenced how I animated this video, I think you'll really enjoy this site:
Music by Vincent Rubinetti:
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
Various social media stuffs:
Who cares about topology? (Inscribed rectangle problem)
The Ingenious Design of the Aluminum Beverage Can
Hilbert's Curve: Is infinite math useful?
Quantum Fields: The Real Building Blocks of the Universe - with David Tong
Waves: Light, Sound, and the nature of Reality
Imaginary Numbers Are Real [Part 1: Introduction]
Secret of row 10: a new visual key to ancient Pascalian puzzles
Feynman's Lost Lecture (ft. 3Blue1Brown)
Gödel's Incompleteness Theorem - Numberphile
How Earth Moves
Why is Relativity Hard? | Special Relativity Chapter 1
Making sense of string theory | Brian Greene
What's a Tensor?
P vs. NP and the Computational Complexity Zoo
Some light quantum mechanics (with minutephysics)
Visualizing quaternions (4d numbers) with stereographic projection
The hardest problem on the hardest test
How Special Relativity Makes Magnets Work
Fourier Transform, Fourier Series, and frequency spectrum