I'm interested in advanced topics in mathematics - please help me teach myself?

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03-26-2008, 05:01 PM

ivegotaquestion

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I'm interested in advanced topics in mathematics - please help me teach myself?

Could someone please suggest an order to study the major advanced topics in mathematics (some of which are listed farther down)?

I already know the following:
Elementary Arithmetic
Elementary Algebra
Elementary Geometry (and Trigonometry)
Calculus 1 and 2
Ordinary Differential Equations

I already plan on studying Linear Algebra, Discrete Math, and Complex Analysis in the near future.

What else is there in mathematics? I have heard talk of:

Abstract Algebra
Modern Algebra
Group Theory
Set Theory
Number Theory
Real Analysis

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