brokenhands;5062 wroteBasically all math classes have a theme, so what is the theme of Analysis and Group Theory?
In:
Calculus - it's limits
Diff Eq - it's...can't remember all I remember was y' - y = 0 or c(c: constant of inhomogenouse equation)
Linear Algerbra - Ax = 0 or B (A: being a matrix, B: soln set, x: variables)
Well, I wouldn't exactly say that those are the correct themes, since they're much larger than that.
Groups are basically a way to describe symmetries. They are sets of elements with certain properties.
Analysis is where the real difference between maths and physics starts. In analysis you define things like integrals, limits, derivatives, etc. and you need to check when you're allowed to use them and when you're not. In physics you simply use them and if it doesn't work out for ya, you say: "Oh, maybe I wasn't allowed to use them in this situation." and simply move on.
In maths however, you actually check when you're allowed to use them so you don't make stupid mistakes like physicists do...(sometimes :P)
Maybe we should make a maths thread, lol...