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Fourier Transform 6 | Fourier Series in L² [dark version] 

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.
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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 : 2   
@ledescendantdeuler6927
@ledescendantdeuler6927 2 месяца назад
very clear. thanks. So all this time, fourier series were really just projecting a function into the space of trigonometric polynomials? and projection being the way to minimize difference (here defined by the integral ? ) thats )retty cool actually. dark mode yay dark mode
@brightsideofmaths
@brightsideofmaths 2 месяца назад
Yes, thank you :) This picture for the Fourier series works for L^2 functions :)
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