The Revolutionary Genius Of Joseph Fourier
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Published 2024-05-23
In this video, we explore the life and work of Fourier, culminating in the famous Fourier Series.
FAQ : How do you make these animations?
Animations are mostly made in Apple Keynote which has lots of functionality for animating shapes, lines, curves and text (as well as really good LaTeX). For some of the more complex animations, I use the Manim library. Editing and voiceover work in DaVinci Resolve.
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Thank you so much, I hope you find the content useful.
This video was sponsored by Brilliant
All Comments (21)
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What impressed me most is the use of FFT algorithm, popularized by Cooley and Tukey in 1965, was first invented by Gauss 1.5 centuries prior to that(which he didn't publish because he thought it was useless) and he even predated fourier on representations of functions as infinite harmonic series. He had a lot of "This theorem was discovered by [insert name], but it turned out to have been proven by Gauss 10 years prior" moments, hence the phrase "you're smart but you're no Gauss". He really just needs a better PR team, akin to those of Newton's
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Whenever my university taught me the Fourier (and the Taylor) series, it genuinely felt like I was witnessing something incredible and fundamental about math. Generalization is king, and this series is the king of generalization.
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I'm french and study in Fourier Institut at Grenoble, France. Cool to see the story of the brilliant man who gave his name to my institut !
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I never realised how old Fourier actually is! Great video!!!
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Dear Will, thank you. You have answered a question, I have been pondering for the past 42 years. As I watched your video, I was teleported back, "through space and time" to the summer of 1982. I was studying Fourier analysis and I had an epiphany, the first time my "wave function collapsed". I simply realized,"If you give me any function, any function f(x), I can express it in terms of a simple combination of sines and cosines." - Pure mathematics at its best, QED. Or as Sidney Coleman said it, "The career of a young Theoretical Physicist consists of treating the harmonic oscillator in ever increasing levels of abstraction."
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Wonderful, I'm french and the auto generated subtitles keep my focus. Fourier is a true genius, one of the first geniuses that Normale Sup and X created
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way too underrated, you explained it well
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Amazing quote for Fourier in the beginning ! Thank you!
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What a gem of a video, I really enjoyed the animations and explanation. Very well made!!
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Thanks! I was looking for this from a long time!!
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Thank you so much for your videos!.
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Hi Dr. Wood! Great teaching!
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great work!
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One of the best explanations!
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Thank you Dr. Will! You're providing a precious resource by providing an insight into the intellectual maneuvers and methods of the minds which shaped our world, Awesome Video :D
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just finished studying everything I think I need from the heat equation to FFT and this is a nice dessert to wrap things all up...
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Excellent! Thank you very much.
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Very nice video, I like that you were more holistic in your exposition and this was a succinct and well motivated video. As an idea, a similar video on Galois would go down well, you could do him justice.
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awesome video you have represented the beauty of doing Physics and for the first time I saw the derivation of heat equation
