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
Home page: https://www.3blue1brown.com/
Multiplying two matrices represents applying one transformation after another. Many facts about matrix multiplication become much clearer once you digest this fact.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
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https://www.youtube.com/watch?v=XkY2DOUCWMU
The math of superposition and quantum states.
minutephysics channel: https://www.youtube.com/user/minutephysics
Brought to you by you: http://3b1b.co/light-quantum-thanks
And by Brilliant: https://brilliant.org/3b1b
Huge thanks to my friend Evan Miyazono, both for encouraging me to do this project, and for helping me understand many things along the way.
This is a simple primer for how the math of quantum mechanics, specifically in the context of polarized light, relates to the math of classical waves, specifically classical electromagnetic waves.
I will say, if you *do* want to go off and learn the math of quantum mechanics, you just can never have too much linear algebra, so check out the series I did at http://3b1b.co/essence-of-linear-algebra
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https://www.youtube.com/watch?v=MzRCDLre1b4
(Sine waves / boundary condition) + linearity + Fourier = Solution
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/de3thanks
More about the heat equation, with a derivation in terms of slope corresponding to heat flow from MIT OCW:
https://ocw.mit.edu/courses/mathematics/18-303-linear-partial-differential-equations-fall-2006/lecture-notes/heateqni.pdf
If you want to learn more about Fourier series, here are a few great videos/posts which I think you'll enjoy:
Mathologer's: https://youtu.be/qS4H6PEcCCA
The Coding Train: https://youtu.be/Mm2eYfj0SgA
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https://www.youtube.com/watch?v=ToIXSwZ1pJU
How to think about this 4d number system in our 3d space.
Brought to you by you: http://3b1b.co/quaternion-thanks
Interact with these visuals: http://3imaginary1real.com
Quanta article on quaternions:
https://www.quantamagazine.org/the-strange-numbers-that-birthed-modern-algebra-20180906/
The math of Alice in Wonderland:
https://www.newscientist.com/article/mg20427391-600-alices-adventures-in-algebra-wonderland-solved/
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https://www.youtube.com/watch?v=d4EgbgTm0Bg
The Heisenberg uncertainty principle is just one specific example of a much more general, relatable, non-quantum phenomenon.
Brought to you by you: http://3b1b.co/uncertainty-thanks
And by Art of Problem Solving: http://aops.com/3b1b
For more on quantum mechanical wave functions, I highly recommend this video by udiprod:
https://youtu.be/p7bzE1E5PMY
Minute physics on special relativity:
https://youtu.be/1rLWVZVWfdY
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https://www.youtube.com/watch?v=MBnnXbOM5S4
Home page: https://www.3blue1brown.com/
How to think about linear systems of equations geometrically. The focus here is on gaining an intuition for the concepts of inverse matrices, column space, rank and null space, but the computation of those constructs is not discussed.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
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https://www.youtube.com/watch?v=uQhTuRlWMxw
Answer live at http://3b1b.co/live
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/thanks
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The live question setup with stats on-screen is powered by Itempool.
https://itempool.com/
The graphing calculator used here is Desmos.
https://www.desmos.com/
Curious about other animations?
https://www.3blue1brown.com/faq#manim
Music by Vincent Rubinetti.
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
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.
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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
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https://www.youtube.com/watch?v=yBw67Fb31Cs
Playlist of all entries: https://www.youtube.com/playlist?list=PLnQX-jgAF5pQS2GUFCsatSyZkSH7e8UM8
Thank you to Jane Street, both for funding the event, and providing eager and able guest judges to the final stages of the process.
Organization and logistics were handled by James Schloss, aka @LeiosLabs
Web development by Frédéric Crozatier
0:00 - The event
1:34 - Pixel Art Anti-aliasing
2:26 - The Enola Gay
3:40 - Pitch shifter
4:14 - Cayley Graphs
4:51 - Longest Increasing Subsequence
5:49 - Matrix Arcade
6:37 - Watching Neural Networks Learn
7:18 - Functions are vectors
7:38 - The art of linear programming
8:13 - Backburner problems
9:24 - Affording a planet
9:56 - When can’t math be generalized
10:49 - Rotation + Translation = Rotation
11:33 - Rethinking the real line
12:16 - Egyptian volumes
13:05 - A circular motion quirk
13:40 - Minimal surfaces
14:47 - Computing logs
15:19 - Mediants
16:17 - The shadow game
16:43 - Chasing Fixed Points
17:24 - Representing numbers
18:11 - Mirror ball
18:34 - String art
19:36 - Infinity
20:52 - Thanks
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These animations on this channel largely made using a custom Python library, manim. See the FAQ comments here:
https://3b1b.co/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/
All code for specific videos is visible here:
https://github.com/3b1b/videos/
The music is by Vincent Rubinetti.
https://www.vincentrubinetti.com
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u
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3blue1brown is a channel about animating math, in all senses of the word animate. If you're reading the bottom of a video description, I'm guessing you're more interested than the average viewer in lessons here. It would mean a lot to me if you chose to stay up to date on new ones, either by subscribing here on YouTube or otherwise following on whichever platform below you check most regularly.
Mailing list: https://3blue1brown.substack.com
Twitter: https://twitter.com/3blue1brown
Instagram: https://www.instagram.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Facebook: https://www.facebook.com/3blue1brown
Patreon: https://patreon.com/3blue1brown
Website: https://www.3blue1brown.com
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https://www.youtube.com/watch?v=6a1fLEToyvU
Home page: https://www.3blue1brown.com/
The fundamental vector concepts of span, linear combinations, linear dependence, and bases all center on one surprisingly important operation: Scaling several vectors and adding them together.
Full series: http://3b1b.co/eola
Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced.
http://3b1b.co/support
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https://www.youtube.com/watch?v=k7RM-ot2NWY