[data-cat]

This article was interesting but didn't really tell me anything I don't already know. Does anyone know where I can find a good article that actually explains the mathematics of performing a Fourier transformation? I thought that is what this article was going to be about.

[gmac]

I'm not sure what level you're looking for, but I found this really good: http://www.mikeash.com/pyblog/friday-qa-2012-10-26-fourier-t...

[ppruitt]

I found the book, "Who Is Fourier?: A Mathematical Adventure" to be an intuitive explanation of the Fourier Series and transform: http://amzn.com/0964350432

[bt90]

We learned about Fourier Series in my diffyQ course. The basic idea is that any periodic function( like say y=sinx) can be approximated by an infinite sum of sines and cosines.