3b1b pi But what is a Fourier series? From heat flow to circle drawings | DE4

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
12 minutes of pure Fourier series animations: https://youtu.be/-qgreAUpPwM

Some viewers made apps that create circle animations for your own drawing. Check them out!
https://www.reddit.com/r/3Blue1Brown/...
https://isaacvr.github.io/coding/four...

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"

------------------

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.

------------------

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

3b1b pi But what is a Fourier series? From heat flow to circle drawings | DE4
34,174 Likes	34,174 Dislikes
1,370,594 views views	2.16M followers
Mateusz Dembny Ismaël Bussière Education	Upload TimePublished on 30 Jun 2019

Related keywords

three brown one blue linear algebra,3 blue 1 brown github,3 brown 1 blue podcast,three blue one brown animation,fourier series pdf,3 brown 1 blue fourier,3 brown 1 blue bitcoin,3 brown 1 blue python,fourier series of x,fourier transform calculator,three blue one brown determinant,fourier series of square wave,fourier transform formula,three blue one brown linear algebra,3b1b manim,3brown1blue youtube,3b1b bitcoin,fourier series notes,fourier series tutorial,3 blue 1 brown meaning,three blue one brown calculus,fourier series problems,fourier series examples,3 brown 1 blue youtube,3 blue 1 brown eigenvectors,mathematics mos def,3b1b quantum,three blue one brown laplace,three blue one brown store,fourier series matlab,3b1b animation,3 brown 1 blue machine learning,fourier series sample problems,3blue1brown differential equations,fourier series applications,3blue1brown khan academy,3brown1blue matrices,3 brown 1 blue software,3 blue 1 brown essence of calculus,three blue one brown quaternions,mathematics definition,fourier series and fourier transform,3 blue 1 brown essence of linear algebra,three blue one brown fractals,3 blue 1 brown machine learning,fourier's law,three blue one brown meaning,mathematics in spanish,fourier analysis,3blue1brown python,3 brown 1 blue linear algebra,mathematics major,fourier series of x^2,3b1b fractals,mathematics science and technology,3b1b reddit,mathematics degree jobs,3b1b patreon,three brown one blue fourier,mathematics of poker,3blue1brown patreon,3blue1brown statistics,three blue one brown machine learning,three brown one blue bitcoin,3blue1brown quaternions,3b1b taylor,3b1b github,fourier series equation,3b1b merch,fourier series drawing,3b1b linear algebra,mathematics of finance,three blue one brown youtube,3brown1blue statistics,3brown1blue calculus,three blue one brown eigenvectors,mathematics wu tang,fourier series of sinx,three blue one brown fourier transform,mathematics vision project,three blue one brown neural network,three blue one brown bitcoin,3 blue 1 brown fourier,3brown1blue curl,fourier transform infrared spectroscopy,3brown1blue neural networks,3blue1brown reddit,mathematics museum,fourier equation,3brown1blue differential equations,3blue1brown eigenvectors,3blue1brown probability,3blue1brown face,3brown1blue topology,fourier series formula,mathematics degree,fourier series calculator,3 brown 1 blue blockchain,fourier series and fourier transform pdf,fourier series definition,3 blue 1 brown animation software,3blue1brown calculus,mathematics for economists,3blue1brown github,three blue one brown github,3 blue 1 brown fourier transform,fourier integral,three blue one brown taylor series,fourier transform examples,3b1b calculus,3b1b neural network,3 brown 1 blue animation,mathematics for computer science,3 brown 1 blue fourier transform,3brown1blue animation software,3brown1blue linear algebra,fourier transform,3 blue 1 brown youtube,mathematics for machine learning,fourier pronunciation,3blue1brown neural network,3 blue 1 brown bitcoin,three blue one brown fourier,fourier transform table,3brown1blue fourier transform,3 blue 1 brown español,mathematics that works for geometry answers,3 blue 1 brown quaternions,three blue one brown vectors,3 brown 1 blue algebra,mathematics jobs,fourier series examples and solutions,3 brown 1 blue cryptocurrency,3 brown 1 blue pi,3blue1brown podcast,3 brown 1 blue calculus,fourier series,fourierism,3b1b music,3 blue 1 brown linear algebra,3blue1brown store,mathematics books,3b1b twitter,3blue1brown fourier,3 brown 1 blue neural networks,three blue one brown essence of linear algebra,3brown1blue animation,3brown1blue meaning,3 blue 1 brown patreon,three blue one brown music,3blue1brown bitcoin,3blue1brown music,3b1b fourier,fourier transform equation,3brown1blue software,3b1b store,3 blue 1 brown animation,3 blue 1 brown neural network,3b1b quaternions,three blue one brown blockchain,mathematics lyrics,3 blue on brown linear algebra,3blue1brown linear algebra,mathematics genealogy,fourier series khan academy,3 brown 1 blue github,3b1b differential equations,3 brown 1 blue music,three blue one brown differential equations,3blue1brown animation,3brown1blue twitter,3 blue 1 brown calculus,3 blue 1 brown taylor series,3 blue 1 brown blockchain,