Fourier Series Part 1

Joseph Fourier developed a method for modeling any function with a combination of sine and cosine functions. You can graph this with your calculator easily and watch the modeling in action. Make sure you're in radian mode and let c=1:
f(x) = 4/(pi)*sin(x) + 4/(3pi)*sin(3x) + 4/(5pi)*sin(5x) + 4/(7pi)*sin(7x) + 4/(9pi)*sin(9x) + 4/(11pi)*sin(11x)
Http://www.wolframalpha.com is also an excellent resource for graphing this function. Click here for convenience: www.wolframalpha.com/input?i=...

Пікірлер: 509

  • @saulremihernandez314
    @saulremihernandez31411 жыл бұрын

    I had a friend in grad school who needed Fourier Series and so I made these videos for him.

  • @ShravanSwamy

    @ShravanSwamy

    3 жыл бұрын

    thankyou to that friend, also to you for making the videos ;)

  • @HawkFest

    @HawkFest

    3 жыл бұрын

    I'd like us to be friends then 😁... In exchange would you like to learn Assembler programming using arithmetic bit-shift techniques for some mathematical operators like exponential functions in base 2? Skiing? Playing drums? The best salad dressing in the world?... Joke aside, it's very generous of you, thank you!

  • @brianty6676

    @brianty6676

    3 жыл бұрын

    You're a good friend.

  • @KeshariPiyush24

    @KeshariPiyush24

    3 жыл бұрын

    @@HawkFest I am interested in learning how binary calculations are done for some complex tasks like calculating square root of 2.....can you please make a video on it?

  • @romylubag4290

    @romylubag4290

    2 жыл бұрын

    @@HawkFest b9b k9

  • @jeremijosol9360
    @jeremijosol93603 жыл бұрын

    THIS IS 9 YEARS AGO AND I FIND THIS VERY HELPFUL! I LOVE HOW THE WAY YOU TEACHES AND MADE ME LEARN IN JUST 8 MINUTES😍 THANK YOUUU

  • @JSA2019
    @JSA20198 жыл бұрын

    I wish the guy who (tried) to teach me this stuff at college was as good as you.

  • @saulremihernandez314

    @saulremihernandez314

    8 жыл бұрын

    +JSA2019 :)

  • @stonebrother3751

    @stonebrother3751

    6 жыл бұрын

    at least he tried

  • @vector6077

    @vector6077

    6 жыл бұрын

    can relate.

  • @redgefleming1535

    @redgefleming1535

    4 жыл бұрын

    U cant complain if u dont pay him

  • @leif1075

    @leif1075

    3 жыл бұрын

    What college did you go to?

  • @VitorJTekkRodrigues
    @VitorJTekkRodrigues8 жыл бұрын

    How come you made me understand this so easily when I tortured myself reading about it for hours without any progress?

  • @saulremihernandez314

    @saulremihernandez314

    8 жыл бұрын

    +Vitor Rodrigues :)

  • @okaypam

    @okaypam

    8 жыл бұрын

    +Big Bang Physics Can you please talk about fourier transform and laplace transform! PLEASE! you made it so easy to understand! it is ok if it takes you 4 videos hahah but pleaseee

  • @morgansampi5336

    @morgansampi5336

    8 жыл бұрын

    +Vitor Rodrigues RIGHT? my god.. hey, i'm guesing you already did your exam. Was this enough? if i watched the four parts of his videos " fourier series" are those considered as a whole chapter done?

  • @morgansampi5336

    @morgansampi5336

    8 жыл бұрын

    +Vitor Rodrigues RIGHT? my god.. hey, i'm guesing you already did your exam. Was this enough? if i watched the four parts of his videos " fourier series" are those considered as a whole chapter done?

  • @hamadosman8073

    @hamadosman8073

    7 жыл бұрын

    Yea I guess

  • @NiallRogers
    @NiallRogers10 жыл бұрын

    I don't understand why he isn't receiving my tuition money. Much more effective in 30 mins than the three lectures at school.

  • @duncancarr7822
    @duncancarr782210 жыл бұрын

    Wow. This is a great bunch of tutorials. I watched 3 hours of Stanford lectures on this and pretty much didn't learn anything. It was horrible. I wasn't anticipating success. I was gobsmacked at how beautifully you explained all this. I learned so much. Thank you!

  • @AlphaPontiff

    @AlphaPontiff

    10 жыл бұрын

    Thanks Duncan!

  • @imln

    @imln

    Жыл бұрын

    Oooooo😮😮

  • @laylaknopfler5989

    @laylaknopfler5989

    Жыл бұрын

    Lucky friend

  • @IntisarJabir
    @IntisarJabirАй бұрын

    best explanation for people like us who are in engineering when we shouldn't be

  • @mukwati
    @mukwati3 жыл бұрын

    Just got recommended this from SMARTER EVERYDAY with Dustin. I have learnt from these videos and I had to open them and give them all a like because i never really did 10 years ago. Thanks you.

  • @AnuRMusicVideos
    @AnuRMusicVideos6 жыл бұрын

    I tried to read about this in my textbook and had no idea what they were trying to do. This is so much easier, thank you!!

  • @sulekhasreenivas1946
    @sulekhasreenivas19464 жыл бұрын

    During my college days I was actually broken down during this topic. Because most of the students and teacher just following the equation to just find the answer. But I was always worrying about what's the meaning of this thing.I thought it was my inefficiency to understand this like other.Today I understand both maths and myself. Thank you brother.

  • @MexterO123
    @MexterO1239 жыл бұрын

    Excellent Tutorial, I learned more here than 3 days of engineering lecture. :/

  • @EKGaming

    @EKGaming

    3 жыл бұрын

    6 years down the line here I am with the same situation.

  • @S3ANPukekoh3
    @S3ANPukekoh39 жыл бұрын

    wow, you explained what my DE lecturer couldn't explain over a 2 hour lecture

  • @BeldwinMinor
    @BeldwinMinor12 жыл бұрын

    Thanks so much! I've been trying to use the Fourier functions for a project without really understanding what I'm doing. This helped things make A LOT more sense.

  • @W-ibrahim_Basha
    @W-ibrahim_Basha7 жыл бұрын

    "Shokran Jazeelan" that's in English Thank you so much :) Now I understand what is Fourier series and that's because of you great teacher. I take off my hat to you :) Sudan University

  • @yassiraladdin5886

    @yassiraladdin5886

    3 жыл бұрын

    It's very cool to see a sudanese student here!!!

  • @DivyanshBatham
    @DivyanshBatham7 жыл бұрын

    Now that's called an A-Class Explanation, just loved it! Instantly shared it to my friends for better understanding of the CONCEPT. Thanks A LOT :D

  • @jaijoshi950
    @jaijoshi9506 жыл бұрын

    You don't know what have you done.. You have Taught and made this complex mathematical equation easy for a biologist like me ..... Great work thanks for posting such a beautiful and super explanatory video.. : )

  • @saulremihernandez314

    @saulremihernandez314

    6 жыл бұрын

    Any time, glad to help

  • @jaiyeolaoluseye5749
    @jaiyeolaoluseye5749Ай бұрын

    years has past and you make it look so easy

  • @alaajerbi8002
    @alaajerbi80026 жыл бұрын

    Thank you very much Sir! You really made things clearer and much fun than the boring lectures at my university! Thank you!

  • @salmaalfawal6155
    @salmaalfawal61552 жыл бұрын

    The whole video I was thinking of taking a screenshot, what you did is the best idea ever , you really think of the learner, totally subscribed

  • @ChrisBennett17
    @ChrisBennett179 жыл бұрын

    Easily the best explanation i've seen yet on youtube

  • @saulremihernandez314

    @saulremihernandez314

    9 жыл бұрын

    Chris Bennett Excellent!

  • @block672008
    @block6720087 жыл бұрын

    You saved me a great deal of paving my way through intricacies of pseudo scientific gabble uttered by people who overrated their capabilities and decided to become PhDs and so on and stay at the university to teach forgetting that apart from a title it takes this little tiny bit of skill to pass complicated knowlede to somebody unfamiliar with a particular notion, law etc.. Run for the presidential seat you got my voice!!! Many thanks!!!!

  • @saulremihernandez314

    @saulremihernandez314

    7 жыл бұрын

    Excellent!

  • @ESHIELDS
    @ESHIELDS12 жыл бұрын

    currently taking networks and systems, trying to finish my electrical engineering degree; hard when your teachers cant explain the material like this. you're a lifesaver!

  • @alexisgrenier6592
    @alexisgrenier65927 жыл бұрын

    This just save me so much time for my tomorrow's quizz. Thanks for these 5 videos, it helped a lot!!

  • @willm6598
    @willm65984 жыл бұрын

    thank you so much, I was about to just skip these questions on the exam because no one starts from the beginning and explains first what we are even doing, now I understand what I am actually writing down on the piece of paper and what it all actually means

  • @afzals568
    @afzals5686 жыл бұрын

    1st time fourier made sense to me. I have my main exam in 4 days but i have your back now. Thank you so much means alot.

  • @asadrasheed5625
    @asadrasheed56255 жыл бұрын

    Thanks alot. This lecture accumulated my broken concepts into one completed understandable place.

  • @PeterGennery
    @PeterGennery11 жыл бұрын

    Great video, I'm learning Fourier analysis and I've used your video as a recap from my lecture notes. Thanks a bunch.

  • @prakharkumar7368
    @prakharkumar73687 жыл бұрын

    Great work sir. After going through many lecture and book finally found satisfactory result

  • @confidential303
    @confidential30312 жыл бұрын

    This is also what i wanted to do, teaching Fourier transform, you have done a hell of a job!! Thumbs up for you!

  • @DatSuKid
    @DatSuKid7 жыл бұрын

    Very clear presentation. I salute you for aiding in helping our world grow and learn.

  • @aumacarolyn477
    @aumacarolyn4779 жыл бұрын

    thank you..i didn't even knw there were tutorials online..you just made my learning experience much easier

  • @masudchowdhuryrana599
    @masudchowdhuryrana5996 жыл бұрын

    Dear Sir, I`m a final year(EEE) engineering student with major in electronics and, for some reason, I`ve always struggled with signal related courses. Having done 3 different courses(barely passed!) regarding signals and system under 4 different teachers, I was expected to know a fair amount about Fourier Analysis. Yet had no clue, whatsoever, about Fourier Analysis until today!!! Thank you so much for being such a great teacher. Please keep teaching Sir. Stay blessed, stay well.

  • @saulremihernandez314

    @saulremihernandez314

    6 жыл бұрын

    Thanks Masud!

  • @masudchowdhuryrana599

    @masudchowdhuryrana599

    6 жыл бұрын

    The pleasure is all mine Sir. Have a lovely day.

  • @dan5607
    @dan56077 жыл бұрын

    excellent tutorial.clear, concise right on the mark!

  • @daveredfield5947
    @daveredfield59477 жыл бұрын

    I Study Engineery and i Love Mathematics, thanks for Upload this Video! Greetings From El Salvador! C.A

  • @TheEpicAndrew
    @TheEpicAndrew10 жыл бұрын

    THIS IS FOURIER! Thanks king Leonidas for this awesome tutorial

  • @porkypine1888
    @porkypine188812 жыл бұрын

    brilliantly concise videos! I think a mixture of your videos and MathDoctorBob's is the best solution!

  • @itsGzim
    @itsGzim7 жыл бұрын

    Amazing video, relaxed, friendly and helpful, thankyou!!!

  • @luckyspears4227
    @luckyspears42278 жыл бұрын

    well I could not believed how I was able to get the concept in 8:44 minutes. Thank you very much! !

  • @philipjohn1338
    @philipjohn1338 Жыл бұрын

    Bro, you have amazing videos. I cannot believe you don't have millions of supporters.

  • @AlanMedina314
    @AlanMedina3148 жыл бұрын

    I really like the background and approach on to Part 2.

  • @JeanFolarin
    @JeanFolarin9 жыл бұрын

    Big Bang Physics, I must commend you! This is an excellent lecture and example. It really helped, thank you. Regards BEng Mechanical Engineering Student

  • @lalitupadhyay3460
    @lalitupadhyay34602 жыл бұрын

    I am very glad, for your teaching trigonometry in deep, because with out knowing the base root of theory, no one can learn properly. What are sine, cos, and tan and there reciprocal / complementary, cosine, cosec, cot.may also be explained.

  • @indrashispowali
    @indrashispowali2 жыл бұрын

    I liked the way you solved the problem. Very Conceptual 👍

  • @rahmatullahmaruf2539
    @rahmatullahmaruf25396 жыл бұрын

    I have never seen such awesome tutorial. Thanks sir

  • @ernestorestrepo40
    @ernestorestrepo4012 жыл бұрын

    fantastic explanation..... finally grasped the basics of this !! thanks again

  • @pierreboulbin8753
    @pierreboulbin87535 жыл бұрын

    I'm french student, I understand you better than my french teacher ! Thks a lot ! ;)

  • @futur96
    @futur967 жыл бұрын

    u have no idea how i just understood whats going on!!! like seriously i had no clue till u came along thank you!!!!!!!!!!!

  • @saulremihernandez314

    @saulremihernandez314

    7 жыл бұрын

    Excellent!

  • @phsantos
    @phsantos8 жыл бұрын

    Gostei sim ;)

  • @asmabibi1236
    @asmabibi12363 жыл бұрын

    omg 9 years passed and it still help me so much

  • @thiebes
    @thiebes9 жыл бұрын

    Isn't the period L? So around 7:00 when you are talking about a0, the coefficient on the right hand side should be 1/4pi right?

  • @GreaterDeity

    @GreaterDeity

    4 жыл бұрын

    2L

  • @MohammadTawaha
    @MohammadTawaha9 жыл бұрын

    god bless you "جزاك الله كل خير"

  • @saulremihernandez314

    @saulremihernandez314

    9 жыл бұрын

    Thanks!

  • @millsykooksy4863

    @millsykooksy4863

    8 жыл бұрын

    Lol 😀

  • @hlq16

    @hlq16

    8 жыл бұрын

    +Big Bang Physics That means may God give you good in return in Arabic, just in case you were wondering what the Arabic script meant

  • @lounisnei7229

    @lounisnei7229

    8 жыл бұрын

    +Hasan Luqman Qazi yep reward not return maybe

  • @haroonj4298
    @haroonj42986 жыл бұрын

    Well your style of teaching is just beautiful, i also want to learn discrete cosine transformation the goal is to understand mjpeg technique.

  • @adamyavarshney9034
    @adamyavarshney90346 жыл бұрын

    best explanation of Fourier series 😊

  • @newtonh20
    @newtonh2010 жыл бұрын

    This was so freaking helpful. Thank you very much.

  • @tianhanipah9783
    @tianhanipah97833 жыл бұрын

    Easy to understand sir, thank you it's so helpful!

  • @rifqiasrilnurrachman9310
    @rifqiasrilnurrachman93103 жыл бұрын

    damn bro, thank you so much for helping a lot of physics grad student in this shitty pandemic

  • @aburg2859
    @aburg28598 жыл бұрын

    This is so clear! Thank you so much.

  • @Leo-ry3zr
    @Leo-ry3zr9 жыл бұрын

    Great video and presentation. I also really liked the white background format and how some of the information is already pre-written. Keep up the good work.

  • @mcwolfus8824
    @mcwolfus88247 жыл бұрын

    We had to do this for electronics years ago. Good explanation.

  • @ChrisR3tro
    @ChrisR3tro12 жыл бұрын

    Great visualization and explanation. Thanks a lot!

  • @davidwilkie9551
    @davidwilkie95517 жыл бұрын

    Infinity is the actual origin of the x, y, and z axies because they represent the intersection of circles or cycles of infinite period or radius. So "reachable" is more apt for the perturbation or interference represented in the trig functions because they are "difference" terms relative to the connection at the origin. If this video wasn't such a good presentation, it would not be possible to comment, so this is good teaching and learning. IMO

  • @AppProgrammer
    @AppProgrammer11 жыл бұрын

    Very good explanation. Very clear and structured! Keep it up

  • @samuelosei-somuah3072
    @samuelosei-somuah3072 Жыл бұрын

    Great approach to explaining Fourier

  • @majorrgeek
    @majorrgeek4 жыл бұрын

    the best teachers of maths are those that make it simple - maths is simple

  • @mohammedkhan4990
    @mohammedkhan49905 жыл бұрын

    Excellent presentations and visuals. You are extremely effective at teaching!!! Thank you.

  • @saulremihernandez314

    @saulremihernandez314

    5 жыл бұрын

    Thanks

  • @saulremihernandez314

    @saulremihernandez314

    5 жыл бұрын

    Thanks. Spread the word.

  • @sriharint
    @sriharint5 жыл бұрын

    One word - SAVIOUR. Thanks a lot!

  • @paul1964uk
    @paul1964uk12 жыл бұрын

    An ingenious method for revealing information!

  • @srajanvarshney8126
    @srajanvarshney81267 жыл бұрын

    Dude you cleared the concept.Thumbs up to you.

  • @akramh2785
    @akramh27857 жыл бұрын

    watching this video got me like ''my teacher had no idea what he was talkiing about''

  • @atheneus

    @atheneus

    6 жыл бұрын

    Exactly!

  • @AnhadGill
    @AnhadGill11 жыл бұрын

    Despite the little gap between the white charts bothering me throughout, I get everything. Thank you!

  • @veggieterra
    @veggieterra10 жыл бұрын

    Thank you so much for this video! I have to write a paper on this and this helped me so much!

  • @curtpiazza1688
    @curtpiazza1688 Жыл бұрын

    Great presentation! 😊

  • @darkexcalibur87
    @darkexcalibur879 жыл бұрын

    Fianlly! A video that makes sense!

  • @ufewl

    @ufewl

    9 жыл бұрын

    yea cos iti says sod all that is not fooking obvious!!

  • @hannanmahmood8260
    @hannanmahmood82606 жыл бұрын

    Great video, Good way of explaining. Thank you.

  • @pratiktosulthonihidayat2459
    @pratiktosulthonihidayat24597 жыл бұрын

    short and brief tutorial. Well done !

  • @sarahsal431
    @sarahsal43110 жыл бұрын

    Thanks a lotttttttttt. You made it very clear to understand :)

  • @unclearnuclear
    @unclearnuclear7 жыл бұрын

    Only because he didn't mention it, probably for brevity (though he does explain things great otherwise), there is a phenomenon where, at each jump discontinuity between steps, the Fourier series will behave a little oddly. To describe it graphically with the step function at the beginning of the video, it jumps up slightly before plummeting down to a lower step, and then dips before stabilizing, again dipping before shooting back up to the upper step, over-reaching a little, and stabilizing yet again on that step. The dipping and over-reaching become smaller and smaller when more and more terms are used in the series. This is called the Gibbs phenomenon, and it doesn't go away - which is why there are sometimes small bursts just as a radio is turned on.

  • @neptun2810
    @neptun28104 жыл бұрын

    3:31 At last, the piece of Information I have been looking for, after about a million texts and Videos. I haven't found these 3 one liners in all of German internet, first English video I find about the Fourier series and there it is.

  • @engineerzhub801
    @engineerzhub8019 жыл бұрын

    Excellent- perfectly explained.

  • @jameslke1241
    @jameslke12415 ай бұрын

    I really appreciate the clear screenshot ☺️

  • @Eduardabiomol
    @Eduardabiomol12 жыл бұрын

    I do loved this tutorial! Keep doing it man! :D

  • @jasonmcdonell2839
    @jasonmcdonell28398 жыл бұрын

    Thanks so much this makes way more sense now!

  • @edmsm8
    @edmsm810 жыл бұрын

    Excellent video! Thanks a lot!

  • @omaralawsage6931
    @omaralawsage69317 жыл бұрын

    Easy to understand, thank you so much.

  • @ElectricalElectronicSoftware
    @ElectricalElectronicSoftware10 жыл бұрын

    Thank you Teacher I have learned a lot from you.

  • @monsoon02np1
    @monsoon02np16 жыл бұрын

    This is your excellent tutorial.

  • @dzalaludinmochamadakbar2555
    @dzalaludinmochamadakbar25552 жыл бұрын

    Its very easy to learn sir, thanks for your tutorials :)

  • @MatheusSilva-dragon
    @MatheusSilva-dragon8 жыл бұрын

    Wow! Very good explanation! Thank you!

  • @saulremihernandez314

    @saulremihernandez314

    8 жыл бұрын

    +Matheus Silva Thanks!

  • @CrushOfSiel
    @CrushOfSiel9 жыл бұрын

    Wow my friend. Excellent video. So easy to understand :D. Subscribed just now.

  • @leejoshua69
    @leejoshua6910 жыл бұрын

    It helps me a lot, thank you!

  • @jeremychocholowski5203
    @jeremychocholowski52035 жыл бұрын

    you really did do a great job of conveying this material.

  • @saulremihernandez314

    @saulremihernandez314

    5 жыл бұрын

    Thanks

  • @abizhar-7583
    @abizhar-75837 жыл бұрын

    Very good and understandable video, liked and subscribed. Keep up the good work, wish you a good life.

  • @ItsPouring
    @ItsPouring3 жыл бұрын

    Oh my Gosh!! Math Heaven - I see the White Light! _EVERYTHING_ so clearly and cleanly explained...Perfect! Thank you math god!🤓 ✨🙏✨

  • @AndraHueiHsiaLye
    @AndraHueiHsiaLye3 жыл бұрын

    Hi, thanks a lot for your video, I'm understanding FS much better now. At 6:31, as you're writing the equation for a0, why is the integral multiplied by 1/(2L) instead of 1/L like An and Bn? Thank you!

  • @andrewa3004
    @andrewa30042 жыл бұрын

    Thank you very much. Excellently descriptive.

  • @randamoses8594
    @randamoses85949 жыл бұрын

    Excellent, makes this topic easier, thank you

  • @victorcastrellon4880
    @victorcastrellon48806 жыл бұрын

    Very sharp videos. Thanks a lot

  • @leathorpcfj
    @leathorpcfj11 жыл бұрын

    So awesome. Thanks from Spain ^^

  • @GreaterDeity
    @GreaterDeity4 жыл бұрын

    This was awesome, thank you!

  • @mamadetaslimtorabally7363
    @mamadetaslimtorabally7363 Жыл бұрын

    Man! That's awesome. Thanks a lot. Hey dude, you look like Arthur Betterbiev.