Fourier Transform 6 | Fourier Series in L²

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This is my video series about Fourier Transform where we talk a lot about Fourier Series. So important topics are trigonometric polynomials, integrable functions, inner products for functions, orthogonal projections, and a lot of formulas for Cosine and Sine functions.I hope that it will help everyone who wants to learn about these things.
#FourierTransform
#Mathematics
#FourierSeries
#LearnMath
#Integrals
#Derivatives
I hope that this helps students, pupils and others. Have fun!
(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)
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[@virtqio]

Hello there, I am the same as "Hadi Moshayedi", so no need to mention me twice (Thanks for doing that by the way). I reduced the support amount here, and instead got the largest plan on Steady. Thanks.

[@brightsideofmaths]

Thanks for all the support :)

[@LeaoDN]

Thanks again for all this material. I hope people keep supporting your work. As a suggestion, you could talk a little bit about the Dirichlet kernel.... from Wikipedia: "The importance of the Dirichlet kernel comes from its relation to Fourier series. The convolution of Dn(x) with any function f of period 2π is the nth-degree Fourier series approximation to f". This kernel shows up again and again in Communication, Radar and Digital Signal Processing.

[@brightsideofmaths]

Thanks for the idea!

[@andrix3155]

Great work ! Also do you intend on making a video about Dirchlet and Fejer’s kernels ?

[@brightsideofmaths]

Yes, let's where it will fit in.

[@chelseafener1064]

thank you for your effort and contribution. Please make a video for all possible cases for convergence of fourier series and what is the meaning of function being on a circle and also big o notation for fourier coefficents. :))) I appreciate this series a lot. Because less resoruces on youtube and this is important subject for math analysis. thanks again. keep up great work.

[@oraz.]

Hi ✋

[@arcturusgd]

First!
Also continue your algebra and funct. analysis series now.

[@brightsideofmaths]

Why now?

[@koalatycontent1305]

so demanding!

[@arcturusgd]

@@brightsideofmaths i just miss the series a bit too much. youre one of the best math explainers ever.
but really, I don't pressure you too much, I just felt that you could be able to make another one in about 18-24 hours from now on.