But what is the Fourier Transform? A visual introduction.

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An animated introduction to the Fourier Transform.
An equally valuable form of support is to simply share some of the videos.

Interactive made by a viewer inspired by this video:

Also, take a look at this Jupyter notebook implementing this idea in a way you can play with:

Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld
Russian: xX-Masik-Xx
Vietnamese: @ngvutuan2811

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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.
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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, and click the bell to receive notifications (if you're into that).

Various social media stuffs:
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It's crazy how Fourier was able to do this with just a piece of paper and his imagination, while I'm already struggling to follow this masterpiece of a visual explanation

halihammer
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You sir truly deserve an honorary doctorate - just for this video. Your impact to generations of confused engineering and math students will forever ripple through our society.

cusackprep
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Nobody is ever gonna read this, but i'm literaly mesmerized by the quality and accuracy of teaching this video posseses. It's nuts how well u explain such complicated things

raphaelsbr
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After 20 years of graduation, I now realize what I was learning back then. Thank you for your production.

karmapa_TW
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The amount of clever someone has to be to discover this stuff is insane

adamcspanza
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If this lecture was delivered in a class you would surely get a standing ovation.

Kevin-cydr
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As a math student I cannot believe there is a person can make math concept like this intuitive, amazing !

zhenzhaotu
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5 Years ago, I said ...

"I wish I had a brother like you, who could teach me so many complicated - interwoven stuff.
Many people like me indebted to your wonderful contributions to the science of teaching"

I just got my first payslip, and though it's not much. I am extremely thankful to you, for helping in my darkest times.
For letting me know that there are passionate people out there, who enjoy explaining stuff. 

Though I didn't understand this particular video exactly the first time I watched it, the idea stuck with me, and one day after a few years, the same idea popped up as the most intuitive way of transforming a signal into it's "frequency" components. Then it all clicked and I watched this video again.

Love your work ❤, I myself hope to explain some stuff that I am excited of.

sidharthanarayan
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Oh man, I've been following your videos for a while and learnt everytime some new ideas but here you just touched my heart. I studied Fourier transforms a while ago, had good exam result and got a Master degreee in engineering. But still, I've always felt that I missed the correct intuition of Fourier transform. I did some research on my side after the class and got a way better understanding. But still, I think you just achieved what my professors and myself never manage to do, that is teaching/understanding correctly the underlying principle. I cannot thank you more for these video and this whole channel, and to all professors here trying to give some vague intuitions with bad drawing on the blackboard, please, redirect your students to this video. The next generation of engineers will thank you later.

Zubzub
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I'm a first year physics student in the UK. Talking to friends in higher years, I've learnt to dread Fourier Transforms. They are spoken about in hushed tones like a mass genocide in the recent past. I realise this video probably only just scratched the surface of this topic, but I must say how I feel much better informed than I ever could have been by reading a Wikipedia article or even my textbook. Your videos are unique in the way they build up complex concepts from simple ideas in an intuitive, visual way. They are always a treat and have been a fantastic academic supplement in my first term at university. Thank you so much for all your content, 3B1B.

LordFennel
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I've been an engineer for over ten years (my roommate was the signals junkie and I was the embedded systems dude) and you are the first person to actually make me understand the derivation behind this thing.

evil-wombat
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why is it that I spent tens of thousands of dollars on a engineering degree, and yet these videos do a much better job at teaching me what the math actually IS than any of my professors... Keep up the amazing work!

kooljirl
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After 13 years completing engineering, i understood use of Fourier Transforms. thank you sir.

ManjunathMarkal
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I want to say one thing: Your skill in not only understanding and vocally explaining these concepts is so perfectly complemented by the animations you create that it blows all other resources on this topic out of the water. Even my college professors recommend this video specifically because, and I quote, "I could never create something so masterful that so aptly explains what is going on inside my head." Your skills are a gift to us all! I hope you always find as much passion in creating these videos as I do watching them.

MrPlasticsnowman
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This is by far the best, simplest, clearest and nicest explanation on the subject. Thank you so much! You're a hero

asciizero
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I remember struggling through the maths of Fourier transforms at university, many decades ago and I've long since forgotten it all, but this video is a very intuitive explanation. I just wish we had had such graphical illustrations when I was trying to understand it.

chrisengland
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This channel is literally one of the best things that has happened for the mathematics community. Such valuable content.

Capitalust
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I think you might be the best communicator on YouTube. This is a flawlessly clear and concise presentation. I'm so glad you are planning to make a sequel too, and get into some other concepts!

macronencer
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Words cannot convey my gratitude to you with making these videos, you are helping so many people all around the world to see the beauty of math, for what it really is. Thank you. You taught me more than any of my Math teacher ever did.

mahxylim
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I'm speechless with this work of art. The explanation of the underlying principles is amazingly clever, and the visual production is outstanding. I can't imagine the amount of hours needed to make all of this. It's an honor to have watched your video!

juanrossi