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Moodles | 3 years ago

The best explanation I’ve ever seen of the Fourier transform is from 3Blue1Brown: https://m.youtube.com/watch?v=spUNpyF58BY&vl=en

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rectang|3 years ago

The key insight for me on this topic also came from 3Blue1Brown, but in a different video: it’s that e^x is NOT best thought of as repeated multiplication, but instead as the function exp(x) = 1 + x + x^2/2 + X^3/6 + x^4/24 + …

After being relieved of the burden of that misconception, I was finally able to understand the role of complex numbers in the Fourier Transform.

https://www.youtube.com/watch?v=ZxYOEwM6Wbk&t=439s

fortran77|3 years ago

Or even more simply, if you know that e^x on the complex plane rotates you around the origin.