Shared March 31, 2019
An overview of what ODEs are all about
Home page: https://3blue1brown.com/
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Need to brush up on calculus? https://youtu.be/WUvTyaaNkzM
Error correction: At 6:27, the upper equation should have g/L instead of L/g.
Steven Strogatz NYT article on the math of love:
Interactive visualization of the example from this video, by Ilya Perederiy:
If you're looking for books on this topic, I'd recommend the one by Vladimir Arnold, "Ordinary Differential Equations"
Also, more Strogatz fun, you may enjoy his text "Nonlinear Dynamics And Chaos"
Curious about why it's called a "phase space"? You might enjoy this article:
From a response on /r/3blue1brown, here are some interactives based on examples shown in the video:
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:
Stream the music on Spotify:
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.
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:
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On laughter | Anthony McCarten | TEDxMünchen
Gödel's Incompleteness Theorem - Numberphile
Strange answers to the psychopath test | Jon Ronson
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P vs. NP and the Computational Complexity Zoo
Ricky Gervais at the Golden Globes 2020 - All of his bits chained
Divergence and curl: The language of Maxwell's equations, fluid flow, and more
The Essence of Calculus, Chapter 1
The Banach–Tarski Paradox
Why is pi here? And why is it squared? A geometric answer to the Basel problem
Visualizing the Riemann hypothesis and analytic continuation
Fractals are typically not self-similar
Bayes theorem, and making probability intuitive
Some light quantum mechanics (with minutephysics)