Fourier Analysis: Overview

[@quantabot1165]

I just checked your website and all the papers are free downloadable. Touched my heart, thank you. I will never forget your help

[@payman_azari]

Dear Professor Brunton, you have many students around the world that besides mathematics you teach them how to share our best fruits for free. Cordially Grateful.

[@marioeuler8814]

You are doing god's work here, thank you so much for your effort.

[@mainulislam6765]

i second that..also third and fourth and fifth.

[@noo.baystrash3196]

@@mainulislam6765 I sixth this.

[@sachinr3823]

Thank you so much Prof. Steven L Brunton for these gem of lectures. I found your channel when i was going through one of your paper annual review of fluid mechanics with Prof. Koumoutsakos. I think all these lecture playlist are the part of your textbook chapters, thanks for the wonderful lectures.

[@Eigensteve]

Glad you like them!

[@enneff]

Just watched through this whole series. This is an amazing explanation. Filled in so many gaps in my understanding. Can't thank you enough!

[@leahthegeek9677]

hello sir, i hope youre doing well. i just wanted to tell you how amazing this explanation was for me. because i didn't understand the importance of fourier analysis and didn't want to study it at all. i was forced to do so for my university exam and now im really intrigued by all of these amazing things it has brought to us. you made me interested in studying this topic even more than what my university demands. so thank you again for saving a desperate student.

[@NineInchFailz]

Interesting reading the comments here because in my background i use the Fourier Series/Transform for frequency analysis of electrical circuits but i see a lot of people use it for mechanical systems or heat and fluid distribution. Crazy how a bunch of 17th century mathematics can model the real world around us so well!

[@invinity3982]

you and Nathan Kutz are my favorite Mathematicians! Thank you for sharing your knowledge with such elegance!

[@brunovilloria8145]

This might be the coolest way to give a presentation on youtube

[@DevRajyaguru-lx8pi]

my university teacher suggested your videos before coming to learn it in the class. Amazing !

[@tianyazhang7065]

I become a big fan of professor Brunton after binge-watching your video lectures.

[@ShaunakDe]

I discovered your channel today and I am so happy I did!

[@neilbrideau8520]

This blows my mind. How long did it take you to learn to write backwards?

[@muhammadrayanmansoor4301]

You just flip the video, bro. You dont have to write backwards.

[@masterbaraman9372]

​@muhammadrayanmansoor4301 Writing backwards seems more fun though.

[@ssaafmoon1998]

😂😂

[@allanguwatudde7623]

😂😂😂

[@allanguwatudde7623]

It’s a light board

[@uncleroq]

Awesome. Wish this was around during my undergrad. Great review and much more clearer now.

[@bitterthread6794]

He is revealing secrets from the university he is the badass guy Thanx man. I really appreciate this as this is very very helpful. Hope you won't stop ever.

[@PedroHenrique-bu6xn]

Thank you so much for all these videos. I can't describe how much your videos have been motivating me.

[@marcelbodor1404]

Absolutely clear presentation of a complex subject ! Excellent. Thank you very much indeed.

[@Eigensteve]

Glad you enjoyed it!

[@jacobanderson5693]

I love you. We use these concepts in cryo-EM all the time. Thanks Prof. Brunton

[@phamhongvinh550]

This course is exactly what I need. I will find time to watch it. Please keep up what you're doing

[@MathFinGuy]

Excited to see other videos in the playlist!

[@afaque09]

Extremely thankful to you and Prof.Nathan Kutz as whatever i understand of POD is because of you both. And now I am being able to learn FT and FFT from you. Thank you Sir. edit : and also Hao chen's papers on POD.

[@BruinChang]

I really like the series and databookuw.com.

[@aakashdewangan7313]

Wow Sir.... I want your channel to grow more and more. Keep creating good contents like you have been doing so far.

[@hamzaelyousfi5285]

This is an amazing explanation, Please keep up what you're doing.

[@axehandler]

Didnt understand much, but definitely makes me want to learn all these concepts once more thoroughly

[@pipertripp]

I don't have the maths for this just yet, but thanks for the teaser. I know this is essential to radio astronomy which is a subject I'm interested in, so this is a subject I want to understand better. Gotta master a few other subjects first though.

[@rajeevmahajan9227]

I am watching Steve's expertise videos from rural area in India. Hope to find its applicability here...Tremendous efforts 💖🙏👊

[@Eigensteve]

This makes me so happy to hear!!!

[@flyingmars41]

First time i hear about Hilbert space. You just blew my mind.

[@ABHISHEKSINGH-nv1se]

I think i m going to love this series.

[@Eigensteve]

Awesome, I hope so!

[@valterbeicinha9633]

I like the technique of reversing the video horizontaly so that the text is readable, because if he had the skill of writing in reverse to ous to see well would be godlike

[@mahmoudhamdy5712]

Great effort and excellent explanation. Thank you for your efforts and time.

[@quantabot1165]

All the way from a tiny island in the middle of Indian Ocean, Maldives. Thank You

[@Eigensteve]

That's awesome! Welcome to class!

[@quantabot1165]

@@Eigensteve Thank You!

[@goodlack9093]

Props to you for this amazing series

[@Eigensteve]

Thanks!

[@ROni_ROmio]

Great teacher , I will share you videos on my website, very useful in mathematical finance for option pricing

[@riccvven2078]

i bought the book and will buy the others when i'll have money cause thanks for all

[@bryanrodriguezm.556]

Great work, great presentation. Thank you!!

[@sherifffruitfly]

"fast forward 200 years, now we have the FFT". Nah Gauss had it.

[@thinkeccel]

Nice lecture, with supplementary files, super. 👏👌

[@engr.israrkhan]

Great content

[@kartikeyasaraswat2736]

Sir, please upload lectures on nonlinear systems and control......

[@Eigensteve]

My hope is to film a whole bootcamp series on nonlinear systems. It is on the list!

[@kartikeyasaraswat2736]

@@Eigensteve I'll be looking forward to the lectures....

[@mnada72]

What should I do to understand these nearly 30 seconds from 2:45 to 3:12 to the level of intuition

[@cabdolla]

Great video Steve

[@isuckatthisgame]

Fourier transformation is the most powerful tool ever discovered.

[@curtpiazza1688]

This all looks intriguing! 😅

[@Muuip]

Great summary!

[@Mopark25]

If I wanted to be able to follow along and benefit from your videos, what do you recommend I learn first? Linear algebra?

[@Eigensteve]

A good class in linear algebra would be very helpful. And I always assume my students know about the Taylor series. You can check out my "Engineering Mathematics" course (kzbin.info/aero/PLMrJAkhIeNNR2W2sPWsYxfrxcASrUt_9j) , which is an intro to this material, assuming that you know some calculus and basic matrix operations.

[@dionatandiego11]

Esse camarada é inteligente demais, cê tá doido.

[@AleeEnt863]

Nice, simple and lovely ....

[@bumpn86civic]

Extremely helpful! Thanks!

[@wy2528]

Thank you! really explained clearly!

[@JohnVKaravitis]

How do you write on the clear board? Do you write on a white board and the movement of the marker is translated into writing on the video?

[@igorg4129]

Steve Ive got a strange question. As far as I understand we can technically represent any curve adding sinewaves. Is it possible and makes sense trying fit prediction curves in neural networks using Fourier techniques?

[@sebastianGurin]

thanks for this

[@igorg4129]

Great thank you!

[@ha-xw9jf]

How can you make this kind of presentation? I'm also a lecturer, & I wanna teach my students online in this Covid 19 like this video. Please tell me the technique. Thanks

[@FreshSmog]

Record with the camera behind a piece of glass, then reverse the footage.

[@ha-xw9jf]

@@explorer-xe7rt Thanks so much

[@sifsif2725]

Will you make a video about the FFT in imagine processing

[@Eigensteve]

Yes, coming up!

[@eslamonsy3693]

It's clear to me that I need to learn a lot of Mathematical principles in order to understand this but I really am lost and I don't know where to start. I'm trying to learn FFT in an effective way not just as an algorithm but I'm trying to digest the logic that's why I cam here but can someone please help me by telling me where to start note: I'm learning this mainly for problems solving since I don't know the potential uses of it yet

[@syed_taha_ahmed]

Can you please explain me , what is difference between fourier and laplace transform? Why s=R + Jw Why real.part is zero is fourier transform

[@bhanuprakashreddy]

Professor what is the reason behind need of representing any function in terms of sin and cosine functions Thanks in advance professor

[@DBG01]

Thanks, please book make available in epub & mobi format if possible

[@saitaro]

Superb quality, thank you so much. BTW did I get it right that the book is free online?

[@Eigensteve]

Yep, you can download the PDF at databookuw.com/databook.pdf

[@ohammouda]

I still bought it on Amazon anyways. I'm happy to support your efforts in any way.

[@saitaro]

@@Eigensteve I will buy it anyway. What you do is so important. Don't you have plans to make an online course on edX, Coursera or other platform?

[@thegateway734]

Thank you

[@nd685]

Can't thank you enough!

[@ProfAnkitSharma]

How can we apply it for a viscoelastic material property modeling?

[@barissannan2731]

so wonderful.. thanks a lot...

[@saqibss4572]

much explanation in first vedio I the this would be much easier for to watch whole playlist

[@jeejafication]

fft is the way we visualize protein structures

[@tomasabadi5374]

Thank you so much!

[@bello1710]

Nice video

[@loopyyang]

who can tell me where can I get the answer of the homework.It's important for me,thanks.

[@rtx4070ultrawidegaming]

thank you!

[@alexanderlesnov2768]

Excellent😋

[@BohdanTrotsenko]

There's a better analysis tool than FFT or wavelets for audio processing.

[@yaoooy]

Which is?

[@BohdanTrotsenko]

@@yaoooy the one I have invented. Sorry, I don't announce details just yet - I tried to reach FAANG companies (unsuccessfully), so I'll be creating my whole speech recognition system. Just couldn't keep myself from commenting on the topic.

[@yaoooy]

That sounds great! Good luck with the project

[@Eigensteve]

I can definitely imagine better tools out there. FFT is just very convenient because it is easy to compute, everyone has agreed on the basis, and most signals are "fairly" compressible in this basis.

[@raymondzhao9557]

really cool！

[@DewanggaPrabowo]

I want to ask something is PSD and FFT are different ? and how if I want to look at the result of PSD ? Should I just FFT my data or how ? thanks in advance

[@Eigensteve]

Yes, PSD and FFT are different. The first step in making a PSD plot is computing the FFT. This is in some of the more recent lectures: kzbin.info/www/bejne/mWOXaopsqshqntE

[@DewanggaPrabowo]

@@Eigensteve thank you so much

[@jrynmk]

How are you writing with your marker backwards?

[@Tyns19]

Video editing. Essentially a computer program left-right flips the video

[@suspendedsuplexchannel1000]

John Smithyly because he knows transformation equations

[@mcny40]

The video editing answer doesn’t make sense. From his point of view, he clearly writes from right to left. Not saying there is no trick involved but a mirror flip doesn’t explain it.

[@anb4351]

I just want to see behind the scenes how do you record these, Writing this way

[@martinkunev9911]

You write normally and then flip the video horizontally.

[@woulg]

@@martinkunev9911 god damn I feel like an idiot for not figuring that out hahahah

[@ankurkaushik2074]

Good evening sir,

[@kingofdice66]

Amazing how this man can draw backwards!

[@jxco7339]

was this filmed by you writing on a glass screen, and then flipping the video to get everything to be readable for the camera?

[@Anonymous-nz8wd]

Best Video

[@randythamrin5976]

Gila, bagus amat nih abang kalau jelasin

[@Eigensteve]

Terima kasih!

[@Policies2040]

Please share with all engineering students( undergraduate, master, doctoral)among your contacts

[@AbhishekVerma-nw8pr]

Sir, Please don't make your videos private or tell me how can I watch these private videos..

[@Eigensteve]

Sorry, this was a mistake. This video will be uploaded in a few weeks after the FFT series.

[@spoker2006]

this dude done got his head flushed in the toilet one too many times

[@mattreyling1434]

Is he writing backwards so we can see it normally?

[@joshuareiner8892]

Anyone else notice he's writing backwards perfectly?

[@kageygamma]

My working hypothesis is that they filmed from the opposite side of a glass pane (for him to write on) and then just mirror-flipped the recording.

[@ngoquyen2412]

@@kageygamma Thanks. I think you are right because he is left-handed, but in the video, we saw he write with the right hand.

[@Sanaesanay-e6y]

🙏👍

[@zerjisszahir]

He's writing backwards????

[@thomaskourkoulis5726]

Steve Burton, you did not just write this information backwards?!

[@auds9738]

Hold up, is he writing on that board from BEHIND it? So he's writing in mirror image, and it comes off that perfectly?!

[@Jarrod_C]

There should be a disclaimer here in the video for what level and background knowledge you need to watch this....I have an engineering degree and even have a minor in math but still found it hard to follow in many ways....For example using eigenvectors and eigenvalues in the context of your explanation threw me off..... I have to learn some of these concepts before I can rewatch yoru video for example

[@martinkunev9911]

The moment when you realize he's actually writing with his left hand :)

[@pegy17110]

That is because he is using a lightboard, the video is a mirror image.

[@martinkunev9911]

@@pegy17110 Thanks Captain :)

[@tcratius1748]

Man, my understanding of limits is lame, i can not understand how A^0/2 become 2/L in derivative form. Think I need to hit up Khan academy for a while. I will say that my understand of the cos and sin projects as orthogonal function of k(x) makes more sense. Now I just hope I wrote that right, and I should add that I don't know university math well and high school was a lifetime ago.

[@CynthiaElliott-zn7cf]

Pedantry < surmise. Incongruent juxtapositions. Missing the unexpected ingredient, therefore: Humorless

[@sifsif2725]

This is too much for my 17 yo small brain xD. Interesting though, I shall continue learning

[@zang1983]

As a normal person, you will stop understanding things around 2 mins.

[@004307ec]

Wait a second.... writing behind the board?

[@martinkunev9911]

I was wondering about the same thing. The video is just flipped horizontally.

[@JacobSmith-pg2qn]

For the love of god someone please tell me he is not writing backwards on glass so that we can see it. That would take an amount of skill I am not ready to accept is humanly possible

[@donatoe78]

The glass has Fourier transform circuitry that transforms his normal writing to backwards so we can see it as right to left in the video.

[@donatoe78]

It’s probably handled by the video editor which can transform the original to mirror image.

[@thesistersquad5789]

I feel dumb dumb