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3Blue1Brown series S4 • E4

But what is a Fourier series? From heat flow to circle drawings | DE4

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Published on Jun 30, 2019

Fourier series, from the heat equation to sines to cycles.
Home page: https://www.3blue1brown.com
Brought to you by you: http://3b1b.co/de4thanks

Thanks to Stuart@Biocinematics for the one-line sketch of Fourier via twitter. As it happens, he also has an educational YouTube channel:
https://www.youtube.com/channel/UCKOi...

Small correction: at 9:33, all the exponents should have a pi^2 in them.

If you're looking for more Fourier Series content online, including code to play with to create this kind of animation yourself, check out these posts:

Mathologer
https://youtu.be/qS4H6PEcCCA

The Coding Train
https://youtu.be/Mm2eYfj0SgA

Jezmoon
http://www.jezzamon.com/fourier/index...

For those of you into pure math looking to really dig into the analysis behind this topic, you might want to take a look at Stein Shakarchi's book "Fourier Analysis: An Introduction"

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These animations are largely 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 it 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:
https://vincerubinetti.bandcamp.com/a...

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

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...
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown

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