Another JEM on KZitem after 3B1B .... Beautiful 💞💓
@kumarashish2051
3 жыл бұрын
Exactly. Just so perfectly explained ❤
@mathadventuress
3 жыл бұрын
Better than 3brown 1blue
@Earth-Worm-Tim
2 жыл бұрын
FINALLY!!!!
@aerodynamico6427
2 жыл бұрын
It's "GEM", not "JEM"!
@m.venkadesen9037
2 жыл бұрын
Ss
@starshipx1282
3 жыл бұрын
May the soul of Fourier subscribe to your channel
@Bestcuriosity_1
3 жыл бұрын
Real teacher teaches hardest concept in easiest simplest way possible and. I found you are the one who does beautifully Thankyou sir for giving such insight which we never thought possible without you "Love and huge respect from INDIA "
@Chalisque
2 жыл бұрын
For those wondering why we need cosine as well as sine, one way of seeing this is to first observe that any function f(x) can be written as a sum of an even function and an odd function: f(x) = even(x) + odd(x) where even(x) = 1/2 (f(x) + f(-x)) odd(x) = 1/2 (f(x) - f(-x)) Now the sin(nx) terms approximate the odd part (as sin(nx) is always odd, a sum of them will be odd) and the cos(nx) terms approximate the even part (as a sum of even functions is even) the all we need is a constant offset as the average value of sin(x) or cos(x) over [0,2pi] is zero.
@user-qy6tu9ip9v
2 жыл бұрын
I will never understand this... 😔
@kindlin
2 жыл бұрын
@Dont Check My About Page Link Why do people do this stupid shit.
@Yupppi
2 жыл бұрын
This is becoming my favourite math channel to extend the current knowledge with subjects that interest me. And youtube algorithm deserves a hats off as well. It just suggested your fourier series video series where finally it's not just introduction of what fourier does, but explaining how to use it or approach it. Like giving instructions to how to use a hammer to actually nail something.
@thomascotton1959
Жыл бұрын
I don’t usually comment on KZitem but I’m a 2nd year physics student and I have to say you are the best source of maths help on the entire internet
@DrTrefor
Жыл бұрын
Thank you so much!
@baphomet6292
3 жыл бұрын
I just fan of you how amazingly you explain such difficult concept in such a amazing visualization way. I love it. ❤️
@DrTrefor
3 жыл бұрын
Thank you so much 😀
@StaticBlaster
3 жыл бұрын
He's like the "Brian Greene" of mathematics. He explains all these abstruse mathematical concepts in a very succinct, lucid, and visualized way.
@dennisverschoor5928
3 ай бұрын
Thanks to this video, I was able to explain a problem with a machine filling bottles. The machine was capable of filling 4 bottles at the same time. If a bottle would not be present the machine would not filled the bottle. But the weight in the bottles after that would vary too much and cause deivaitions. I was able to save the company about 1.2 Million per year. The product is very expensive.
@nobirapals974
3 жыл бұрын
Man, I have a final test on this topic on Friday. Pretty doubtful you would upload all vids related to this topic by then. Still, an amazing video tho! I’m motivated to learn now :D
@DrTrefor
3 жыл бұрын
One more coming on thursday lol, but good luck regardless!
@tylerolsen2753
6 ай бұрын
You are the absolute GOAT of youtube teachers. I learn so much from you. You are getting me through DiffEQ right now. Best place to review for a test ever!!!!
@neigh6836
2 жыл бұрын
i cant thank you enough Dr Trefor but your enthusiasm towards this topic helped me really focus on some underlying concept on fourier ,you really enlightened my mood this evening,thank you Sir
@PeterJonesonline
2 жыл бұрын
Fourier series is half the truth of the universe.
@aleg7340
3 жыл бұрын
Awesome work, guys like you are the future of education
@DjVortex-w
2 жыл бұрын
I know I'm going to sound like a complete d..., and I understand all that _"if you don't have anything nice to say, don't say anything at all"_ stuff, but... I'm going to take the risk of sounding like a total d... anyway, and present a bit of criticism about your style of presentation. I appreciate your enthusiasm, but maybe tone it down just a tad bit. You don't have to be a complete stick in the mud, but just a tad bit. It's genuinely distracting. It draws attention away from what you are saying.
@juliocesarchavezflores1684
3 жыл бұрын
Wow great video, I didn't saw this perspective of the Fourier series before. This is one of the subjects in mathematics that I like the most because at the beginning(when I was in college) it was difficult to me to understand it but once I discover what it does and how it's related to the Fourier transform it just blew my mind. Thanks for such awesome explanation videos!
@engineerahmed7248
Жыл бұрын
when anti male sexist univs stopped giving st men admission in STEM. Hence everyone these days have to be a gay/girl to be mathematician.
@hamza9052
3 жыл бұрын
Been watching your videos since you had 30k subs, amazed you are on 100k now, keep up the great content Dr. Trefor :)
@DrTrefor
3 жыл бұрын
Nice!! Thank you so much:)
@CraftReaper-OmarFaruqTawsif
3 жыл бұрын
People r doing big stuffs like fourier transform and here I am. just celebrating my 500th like on this video :')
@ajo9016
2 жыл бұрын
How am I in college and a professor explains this but it’s gibberish, and this is so clear and it’s free!
@danilgaijin8366
3 жыл бұрын
Maybe after your videos I will finally understand this topic. Thanks for great work)
@leahwanjiru2269
11 ай бұрын
Thank you my esteemed professor for making my Fourier class smooth......big up from Kenya
@bernardhaigh6319
2 жыл бұрын
gentle hint: your video would be vastly improved if: 1) you spoke more slowly and not in a continuous stream; and 2) you did not fill half the screen with a picture of yourself flapping your hands
@pranavacharya8690
6 ай бұрын
Waht are you talking about? I am watching in 2x speed and can easily understand
@seninahammedap
3 жыл бұрын
great visualization
@spacetimemalleable7718
2 жыл бұрын
One of the BEST introductory explanations I've heard of a Fourier series. It's motivating & interesting.
@elekikyu3915
Жыл бұрын
Watching this video brings me back to my university days taking Applies Physics - keep 'em coming!
@aggualaqisaaqs3272
3 жыл бұрын
YES!!! YES!!! YES!!! I’ve been dying to learn about Fourier Series for the longest time
@DrTrefor
3 жыл бұрын
Nice, they are so cool!
@harrysvensson2610
3 жыл бұрын
The Dirac delta function(t) is 1 in fourier domain. That means that we need all sine waves of equal amplitude. cos(x*1/5)+cos(x*2/5)+cos(x*3/5)+cos(x*4/5)+cos(x) looks like an approximation to the dirac delta function, and it makes sense. Mathematically I don't understand why it's cos instead of sin, graphically I understand why. If we integrate by dividing with iw we get 1/(iw), which in time domain is a heaviside step function. That makes sense. 1/(iw) means that we want all sine waves, phase shifted by 90 degrees and their amplitudes decay on the form 1/(frequency). sin(x*1/5)*1/5+sin(x*2/5)*2/5+sin(x*3/5)*3/5+sin(x*4/5)*4/5+sin(x) doesn't look like a heaviside step function at all. Where am I thinking wrong? My gut feeling tells me that the heaviside step function is basically just a square wave of infinite period, shifted up and scaled down so it goes between 0 and 1. Sorry for coming here with such a mathematical question. But I thought it was very related to the video.
@gibbogle
Жыл бұрын
sin is an odd function (sin(-x) = -sin(x)) while cos is even (cos(-x) - cos(x)). The Dirac delta function is even (it is the limit of even functions) therefore needs to be approximated by sum of even functions.
@harrysvensson2610
Жыл бұрын
@@gibbogle Ah, of course, so intuitive! Thank you!
@Alannnn14
3 жыл бұрын
thx mr Trefor
@kyleevalencia1827
3 жыл бұрын
I was wondering wbout the constant number a0/2. in other source it said only a0. Which one is true ??
@DrTrefor
3 жыл бұрын
It doesn’t matter, but I like a0/2 as it makes the formulas (introduced later in the playlist) more consistent.
@shifagoyal8221
3 жыл бұрын
Difficult concept explained with an easy approach,I appreciate your efforts.
@momen8839
3 жыл бұрын
if :(x max, y max)=(c/T , k*T^5) ,Where c & k. are constants Why : y/T^5 must equal f(x*T) ? I found this in some proofs in physics , what's the mathematical rule that be used here ?
@zainabalbakaa6127
2 жыл бұрын
thank you, it is a beautiful think to anderstand the basic idea of topic
@shankerkc01
Ай бұрын
Amazing way of explaining things by Prof Trefor. Wow.
@sandeepchauhan6836
3 жыл бұрын
Greatly greately lenegdary explaination
@hrushikeshkale68
3 жыл бұрын
Thanks alot, My discrete mathematics test went great today only bcauz of you🙏
@DrTrefor
3 жыл бұрын
Congrats, that’s awesome!
@hrushikeshkale68
3 жыл бұрын
@@DrTrefor Your explaining skills are legendary
@ميسعبدالقادر-ت3غ
3 жыл бұрын
Amazing man this is one of my wishes ,thanks .
@worldclassmediocre9275
3 жыл бұрын
Just what I needed. It's like this guy knows exactly what i need every time
@DrTrefor
3 жыл бұрын
Haha awesome!
@oidbio2565
2 жыл бұрын
I really dig how you end the video with questions to be answered later (but which a student could start thinking about ahead of the next lecture). I am learning how to teach mathematics effectively and your videos are incredibly helpful and inspiring. Thank you for the wonderful resource and I hope you don’t mind the compliments!
@suhailawm
3 жыл бұрын
Hit like button who like a lot our professor
@mikefochtman7164
2 жыл бұрын
Great video. When I was first trying to understand this, my math prof told me, "The idea is any periodic function can be built up from sums of cos and sin. And... with a sufficiently warped mind, ANYTHING can be considered a periodic function." Even the Big Bang!! (hehehe... we don't know the 'period' yet, but one might consider it 'periodic') :)
@weeee-nh2hq
Жыл бұрын
Can I ask if for example a function f(x) = is a square wave having a period limit at -pi~pi/2, then suddenly converges to 0 at 0~pi, how do you approach the function? I am still confused about the discontinuity on your lecture. Thank you.
@annacersongor8553
3 жыл бұрын
Wow It's just how fascinating is this ! Thank you so much You have the gift of explaining hard topics in an amazingly simple way.
@DrTrefor
3 жыл бұрын
Glad you enjoyed!
@SanjayKumar-sm8tc
2 жыл бұрын
Your way of explanation is awesome Hatsoff to you 🤓
@bmdiscover7827
2 жыл бұрын
Great explanation thank u
@RAJIBLOCHANDAS
2 жыл бұрын
Great Presentation
@byronwilliams7977
8 ай бұрын
When I see how well some random profs online can teach the broad strokes of Fourier Series, it makes absolutely no sense why other profs who, I'd assume are equally knowledgeable with regards to the basics, can't do a better job teaching the material.
@vidaafosaa4604
2 жыл бұрын
Great presentation. I wish you make a series on Wavelets.
@MostlyIC
2 жыл бұрын
close, but you pulled the smaller periods (higher frequencies) out of a magic hat, if instead you potted (square wave *minus* sin wave) you would have seen something with a particular smaller period, etc, etc, etc, and no pulling numbers out to a magic hat
@subhoghosal7
2 жыл бұрын
I always think is there any short of math application on romanticism. So many genius high minds are involved from the beginning of humanity in Mathematics. I don't believe that there is no Math application particularly developed on romanticism. Please give a video if you find some.
@allanbois7172
2 жыл бұрын
What he say at 3:!0 Time stamp! Something is false Im not sure what's being said. Anyone make it out?
@byronwilliams7977
8 ай бұрын
Back for a second round leaving another comment for the ALGO gods.
@garvitmakkar
3 жыл бұрын
Please please it's a humble request anybody tell the coding behind the scene or any software used. 😓😓😓
@dpkmrwt
2 жыл бұрын
I came to your playlists for the topic I didn't understand from books or any source available on the internet. And I got my concepts here!! Some serious Quality work sir!! ❤️
@Rajeevkumar-cm4mn
Жыл бұрын
nice video i am from india
@kaifanzheng2686
2 жыл бұрын
please come and teach at mcgill university
@DrTrefor
2 жыл бұрын
ha love mcgill!
@atan5091
2 жыл бұрын
Finally a video which doesn't assume the student knows eigenvalues
@khaledelsayed3507
Жыл бұрын
Thank you doctor for beautiful explanation ever ❤
@curtpiazza1688
2 жыл бұрын
Great intro....thanx!
@vinaychandra6003
3 жыл бұрын
genius u .... thats all
@anandj7310
Жыл бұрын
Why does there a π/l stretching factor if we change the interval to terms of (-l ,l) why isn't it the same as before?
@ΓιώργοςΤ-ε9τ
3 жыл бұрын
Just when I need it!!Great work!!Greetings from Greece!!
@DrTrefor
3 жыл бұрын
Awesome! Thank you!
@thewatchman_returns
3 жыл бұрын
This kind of videos are so awesome thank you so much, keep doing this
@DrTrefor
3 жыл бұрын
Thank you, I will!
@wealdsz
2 жыл бұрын
Very nice video
@masterbelch1293
Жыл бұрын
Here because of fruity formula controller. You would love it id imagine.
@jimhenderson2308
Жыл бұрын
It may be worth noting that there's no mention of time in this explanation in the form of frequency . He says the period is 2*pi. When X gets replaced with w*t is when time enters the picture and the time domain is entered.
@MrCEO-jw1vm
5 ай бұрын
superb motiation for this interesting topic. Thank you so much.
@yousefelbrolosy9753
Жыл бұрын
Thanks for the passion you show while teaching!!
@steliostoulis1875
3 жыл бұрын
just in time when my professor introduced fourier series in our analysis II course....Youre a savior
@DrTrefor
3 жыл бұрын
Great timing!
@physicslover1950
3 жыл бұрын
Will you please make a long lecture serious regarding integral equations and then another series on integro differentail equations. Please also tell us why we use integral equations.
@justinotherpatriot1744
2 жыл бұрын
Dude, I love you.
@NCAirwayss
7 ай бұрын
Despite your best efforts You could not explain the subject
@ankushankush4665
3 жыл бұрын
Your videos are really helpful for me. Thanks and keep making more...
@trexbattle
3 жыл бұрын
Bruh it’s May we don’t need no education
@DrTrefor
3 жыл бұрын
What else are you going to do, go out in the sunshine or something else ghastly!?!
@NuclearPhysix
3 жыл бұрын
@Dr. Bazett - Great work. Enjoying your videos. Can I request Laplace Transforms, please? Perhaps this once I could figure out where it all came from. Only you can do this.
@DrTrefor
3 жыл бұрын
I have a whole playlist on this, check out my homepage!
@samarthtandale9121
2 жыл бұрын
Great Video!
@briandwi2504
Жыл бұрын
Wonderful!
@jingyiwang5113
10 ай бұрын
Thank you sooooo much for this amazing explanation!
@lcy6434
11 ай бұрын
Being reminded as “Avalanche Fourier Series”.
@2002budokan
3 жыл бұрын
Another excellent video from the best math teacher in the planet. Thank you!
@DrTrefor
3 жыл бұрын
Thank you so much!!
@Alessandro-mg9oh
7 ай бұрын
Amazing
@jawaharbabuadapa
2 күн бұрын
Thank you for making these videos
@KrishanBhattacharya
2 жыл бұрын
nice video
@sfdidg
Жыл бұрын
very good
@husamalsayed8036
3 жыл бұрын
thank you
@maurocruz1824
2 жыл бұрын
Brilliant!
@schmuckforalifetime
2 жыл бұрын
The visualization helped a lot. Thank you so much!
@alex_everget
2 жыл бұрын
Young Robert Langlands explains Fourier series
@سلمىالترهوني-ي1ق
Жыл бұрын
المزيد من التمارين على استقرار المعادلات التفاضلية
@sugataahad2817
3 жыл бұрын
hahaha! Found it just when needed! Thank you Dr Bazett
@DrTrefor
3 жыл бұрын
Glad it helped!!
@Ali-di9oc
2 жыл бұрын
KINNNNNG
@jeremiedelusignan950
3 жыл бұрын
I love it, you explain so clearly and intuitively. Best math channel with 3Blue1Brown !!!
@DrTrefor
3 жыл бұрын
Wow, thank you!
@tangomuzi
2 жыл бұрын
Good video but the 'big idea' of Fourier is now what is presented.
@rmw6151
3 жыл бұрын
Thank you so much for your work - I wish you had a Patreon page, if everyone just contributes a little that would only be fair!
@DrTrefor
3 жыл бұрын
I don’t have a patreon, but I do have a KZitem membership (it’s the join button). Regardless, thanks for even thinking about that, much appreciated:)
@rmw6151
3 жыл бұрын
@@DrTrefor Thank you Sir, I will consider doing this
@solitaryreaper1363
Жыл бұрын
How beautifully explained sir !
@abhijeetgore310
3 жыл бұрын
Great content
@robertomontero2352
3 жыл бұрын
Your recent posts are outstanding, thank you!
@DrTrefor
3 жыл бұрын
Glad you like them!
@joaquimspeck
2 жыл бұрын
Awesome channel, thank you. Gibbs phenomenon is to be expected, though. One is trying to approximate a non-continous function by an infinitely differentiable function. If one was trying to draw this with a pen, it would necessarily overshoot due to its inertia (like in d²y/dt² here)
@tangomuzi
2 жыл бұрын
No, not really. Think for example splines!
@continnum_radhe-radhe
2 жыл бұрын
🔥🔥🔥
@salmaahmedai3695
3 жыл бұрын
Thank you so much Dr.Trefor, Could please help us with deep understanding to Bessel equation and it's solutions
@DrTrefor
3 жыл бұрын
Oooh, that would make a great video
@SUPERustam
8 ай бұрын
I am so happy to watch this video - I understood concept of Fourier series with the happiest teacher I even seen. Much better understanding that in my university Thank you a lot❤
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