Fourier Transform? A visual introduction.

what is the Fourier Transform? A visual introduction. 7,508,949 viewsJan 26, 2018 3Blue1Brown 4.52M subscribers An animated introduction to the Fourier Transform. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/fourier-thanks Learn more about Janestreet: https://janestreet.com/3b1b Follow-on video about the uncertainty principle: https://youtu.be/MBnnXbOM5S4 Interactive made by a viewer inspired by this video: https://prajwalsouza.github.io/Experi... Also, take a look at this Jupyter notebook implementing this idea in a way you can play with: https://github.com/thatSaneKid/fourie... ------------------ Animations 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 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, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown Buy 3Blue1Brown merchandise $17.29 DFTBA $29.00 DFTBA $20.83 DFTBA $31.41 DFTBA $12.56 DFTBA $49.90 DFTBA 7,866 Comments rongmaw lin Add a comment... Sandra Braithwaite Sandra Braithwaite 2 years ago we are truly fortunate to live in a time where we have creators that can use computer graphics to display physics concepts so elegantly. well done 2.7K umair umair 5 months ago 7:07 I just realized the reason it's giving a big spike at the zero frequency. When you move the frequency graph up, you're basically adding in another wave with a frequency of 0. The fourier transform still works 267 Shaparder Shaparder 11 months ago Words can't even describe how incredible this video is. It literally made made me tear up of joy. You are the best teacher ever, period. 64 Amelia Stork Amelia Stork 1 year ago 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. 680 Nikil Kumar Nikil Kumar 2 weeks ago I was going to read and learn about Fourier transforms to answer one of my assignment problems. But then I thought "Hmm maybe 3blue1brown has a video on fourier transforms that can help me get the intuition for what I'm about to try to learn" and voila, here I am and I sure am glad about making this choice. Incredible explanation as always! Grant, you make me want to keep learning more and more math! 10 creep creepier creep creepier 11 months ago I can watch it a hundred times and still not get tired of it. I can only imagine how difficult this would have been for me without this kind of explanation 41 Zubzub343 Zubzub343 4 years ago 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. 7.4K 3Blue1Brown Fun Kids Fun Kids 11 months ago Such videos should be on the beginning of every university class. Purely explained on animation. Finally i understand how it works after 10year of my university graduation. 35 Winter Bird Winter Bird 14 hours ago I’m into my third year of one of the most prestigious programs at one of the most prestigious universities in my country, and even there they fail to simplify the core concept as well as you do. The visuals and examples you give are 100x more comprehensible than what my profs have tried to explain. Thanks for helping educate the world in a better way :) kgirishchandra kgirishchandra 1 year ago "Extracting" frequencies from a complex signal was an alien concept to my brain and I just accepted that as a reality and moved on. Today, that changed. After two decades, now I truly understand what inherent frequencies are and what Fourier transformation actually means. And the world just became a little better place to live. Thank you! 45 50srefugee 50srefugee 2 months ago My life would likely have been very different if these videos had been available to me when I first attempted calculus fifty years ago. I learned a set of rules for working with equations. But when I hit integral calculus, I had only the dimmest understanding of what those rules MEANT, and found I could go no further. With these videos, I might well have been able to climb over that wall, and see much further from its summit. 5 Gavin Craddock Gavin Craddock 1 year ago This is amazing. It's been 20+ years since I studied calculus but this was incredibly clear and also ridiculously interesting. Thanks! 6 Adam C Spanza Adam C Spanza 1 year ago The amount of clever someone has to be to discover this stuff is insane 1.9K Nelson Nottveit Nelson Nottveit 8 days ago CA$5.00 Thanks, love your art, teaching style, analogies, and smooth delivery. Keep up the great work! 1 Judge Dialwa Judge Dialwa 1 month ago This is mind-blowing . thank you so much. I'm so looking forward to expanding my knowledge with you. Hari Sankar Hari Sankar 10 months ago This is absolute gold! I am just stunned by the production quality, the discretisation of complex mathematical formulae into something intuitive and above all, the lovely presentation. Subbed for life. 6 Muhammad Ranjbar Muhammad Ranjbar 3 months ago Intuitive meaning #4: how the number of beats per second is linked with the cycles per second which becomes the frequency. I think this is crucial one in FT. 1 Plads Elsker Plads Elsker 1 year ago This might be my 10th watch or so, and today I think I'm starting to get it! Took me a while, but now I think I can actually start to use that in my projects. Thanks a lot for the help 20 Kevin Kevin 1 year ago If this lecture was delivered in a class you would surely get a standing ovation. 1.2K Steve D'Sa Steve D'Sa 3 weeks ago This is one of the best visualizations ever! and there was another Shakespearian one you made that is also marvellously insightful about vector spaces, awesome works of educational art! Angus Angus 4 years ago 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. 2K 3Blue1Brown Pablo Orlandini Pablo Orlandini 3 months ago I'm struggling a bit with FT-NMR concepts and this has been INCREDIBLY helpful. Can't thank you enough. 1 tizzledawg tizzledawg 3 weeks ago What I find amazing is that I used to work with radio frequency stuff, and the spectrum analyser does this in a completely non-computerised way BUT nature reveals that this math is the same thing from a different view. The detail of offsetting the signal is analogous to a frequency of zero Hertz or a DC voltage. I find it a really beautiful thing when math explains nature 2 Andrew Andrew 8 months ago Most math and science videos on YouTube, especially ones that involve hard concepts usually only get a few thousand views from college students the night before their exam. The fact that this video has over 6 million views shows how people who may not even need to know about Fourier Transforms are able to watch and understand what he is saying. Thank you for your work sir 9 Samuel Samuel 10 months ago If this video had appeared when I was still studying Engineering Mathematics in university, I wouldn't have gotten a C- in the subject. This explanation is SO CLEAR and UNDERSTANDABLE. Thank you so much!!!! 3 Antony Brun Antony Brun 2 months ago Thank you so much, i'm a student of engineering at this has helped me greatly to visualize the concept of Fourier analysis! 😀 macronencer macronencer 4 years ago 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! 2.5K Anna Shchukina Anna Shchukina 8 months ago thanks a lot, it is a really magnificent concept and explanation<3 1 Jet Orellana Jet Orellana 6 months ago you just make math sound Amazing!!! you make me want to learn more about differential equations. thank you, thank you! 1 Billy T Billy T 4 months ago honestly this made me fall back in love with mathematics, this is incredible cryonix pod cryonix pod 1 month ago Thanks for your amazing video. QUESTION: How do you understand a concept complex as FT this deeply? I mean I needed to learn various mathematical concepts as a professional requirement and I learn how this works but I cannot find the clarity or intuition behind it. So can you teach us how you can learn an unknown complicated topic with this much clarity? 1 Rohan Joshi Rohan Joshi 6 months ago Simply amazing.... This is a single semester from my university summed up in 21 mins.... Thank you for such a great content.... Miiort Biiort Miiort Biiort 1 year ago Funny how we pay loads of money to learn this stuff at university, yet we all still come running to free online video lectures because no professor can match them in terms of quality. 2.3K Martin Cremer Martin Cremer 7 months ago You are the finest teacher of mathematics I've yet encountered. Your ability to delve into increasingly esoteric math and break apart its various elements is remarkable. What makes these videos come to life is your genuine enthusiasm for math. Thank you! 3 PiechureQ PiechureQ 1 month ago Gościu, świetny film. Genialna reprezentacja całego procesu. Dzięki 1 tippTapp tippTapp 5 months ago This video really explains the idea of the fourier transform so nicely and intuitive! Thanks for the effort 1 Justalabrat Mr. Justalabrat Mr. 6 months ago I've read about FFTs for years now, could never understand it or what it could be used for. But now I have a least a little bit of understanding. My oscillosope (a Tektronix TDS 380) has a FFT math button. Now for the first time I was able to send a piano cord to the scope and pick out the individual notes! Thanks! 11 Gert-Jan Schaap Gert-Jan Schaap 7 months ago Wow, this video explains it so very well! Thank you! 1 Manjunath.M Manjunath.M 3 years ago After 13 years completing engineering , i understood use of Fourier Transforms. thank you sir. 938 Александр Ковалёв Александр Ковалёв 7 months ago I will never be able to express the admiration that I have with words in English, as well as in my own. Brilliant! I would never have thought that machine translation would advance enough to match like professional hardsub translation. И передаю свою искреннюю благодарность автору за то, что он включил субтитры на 19 языках, включая Русский, и Google за великолепное качество перевода на мой родной язык. Thank you very much, all of you. Сегодня я действительно узнал что-то невообразимое. 2 MisterMcHaos MisterMcHaos 4 years ago Som