The math behind a couple of theories

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I was just wondering, what math is needed to fully understand the mathematics of general relativity, quantum mechanics, and string theory? Can you be specific in naming them? For example

General Relativity
Algebra
Calculus


I know there has to be more than that but that was an example. I am curious because I want to eventually learn the math behind these theories.

Thanks!

 

[Jame]

http://en.wikipedia.org/wiki/Mathematics_of_general_relativity

I'm not sure what you include in "Calculus", but the basic stuff doesn't really suffice since you need tensors and the more sophisticated differential geometry.