[streptomycin]

Normally I'd just upvote and move on, but this is really fucking good. For example, I wish I could have seen something like that "Sine Wave Aliasing" page when I was learning this stuff, would have saved me a lot of confusion.

[jackschaedler]

Thanks! Let me know if there are other topics you'd like covered, or areas that need more explanation.

[calebreach]

This is great! I'd love to see sections on convolution, the Dirac delta function, and the continuous (possibly multi-dimensional) Fourier transform.

[sbuccini]

Seconded on convolution and the Dirac delta.

[shorodei]

Another topic that has confounded me as much as FFTs are Quaternions.

[malingo]

I found this example by Steven Wittens to be remarkably well done: http://acko.net/blog/animate-your-way-to-glory-pt2/

See the section "Blowing up the Death Star" and note that there are 100 parts total.

"So that's quaternions, the magical rotation vectors."

[cbd1984]

Take a look at geometric algebra.

http://www.geometricalgebra.net/

http://en.m.wikipedia.org/wiki/Geometric_algebra

[GFK_of_xmaspast]

That's not quite the same, but worth reading up on anyway.

[cbd1984]

The quaternions are a subalgebra of geometric algebra. It's not quite the same in that it's strictly more general and, therefore, more broadly applicable.