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For an additional video exposition, I also like Eugene Khutoryansky's "Fourier Transform, Fourier Series, and frequency spectrum" https://www.youtube.com/watch
by photochemsyn 4y ago
For an additional video exposition, I also like Eugene Khutoryansky's "Fourier Transform, Fourier Series, and frequency spectrum"
https://www.youtube.com/watch?v=r18Gi8lSkfM https://www.youtube.com/watch?v=r18Gi8lSkfM
In particular, the visualization of the addition of sine waves of different frequencies in three dimensions is pretty spectacular. It's similar to Mathologer's "Epicycles, complex Fourier series and Homer Simpson's orbit":
https://www.youtube.com/watch?v=qS4H6PEcCCA https://www.youtube.com/watch?v=qS4H6PEcCCA