>In mathematics you don't understand things. You just get used to them. Yep, one of my favorite math quotes and highly under-rated. One thing I've found is th

>In mathematics you don't understand things. You just get used to them. Yep, one of my favorite math quotes and highly under-rated. One thing I've found is that if you find yourself using the wrong "types", you're almost certainly going in the wrong direction. For example, if you're trying to solve a complex analysis exercise and you find yourself thinking about how the complex numbers = the real-coefficient polynomials modulo the ideal (x^2+1), STOP: You're getting nowhere! :)