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Fourier Transform 6 | Fourier Series in L² 

The Bright Side of Mathematics
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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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30 сен 2024

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Комментарии : 12   
@chelseafener1064
@chelseafener1064 3 месяца назад
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.
@andrix3155
@andrix3155 3 месяца назад
Great work ! Also do you intend on making a video about Dirchlet and Fejer’s kernels ?
@brightsideofmaths
@brightsideofmaths 3 месяца назад
Yes, let's where it will fit in.
@oraz.
@oraz. 3 месяца назад
Hi ✋
@LeaoDN
@LeaoDN 3 месяца назад
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
@brightsideofmaths 3 месяца назад
Thanks for the idea!
@virtqio
@virtqio 3 месяца назад
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
@brightsideofmaths 3 месяца назад
Thanks for all the support :)
@arcturusgd
@arcturusgd 3 месяца назад
First! Also continue your algebra and funct. analysis series now.
@brightsideofmaths
@brightsideofmaths 3 месяца назад
Why now?
@koalatycontent1305
@koalatycontent1305 3 месяца назад
so demanding!
@arcturusgd
@arcturusgd 3 месяца назад
@@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.