Dividing by variable when solving algebraic equation

[robvalue]

Very nice description, thanks Alex I'm rusty with a lot of this stuff.

I've always found complex numbers fascinating. Even though they don't map directly to the real world (you can't have i apples), you can map the real world into complex numbers, manipulate them, then extract meaningful results.

I remember one instance where you introduce complex numbers to make an integration easier. I don't recall the specifics, but it was something to do with turning a trig function into the real part of a complex exponential function. I think. Like:

SinA = real[SinA + iCosA] = real[e^(iA)]