You can find an overview here: http://en.wikipedia.org/wiki/Mathematics#Fields_of_mathematics
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arithmeticgeometrytrigonometrymensurationalgebracalculusthere are 6 branches of mathematics
Algebra is a branch of mathematics concerning the study of structures, relation and quantity. Together with geometry, analysis, combinatorics and number theory, Algebra is one of the main branches of mathematics.
Physics, particularly quantum physics (which is essentially mathematics).
Trigonometery
They are both branches of mathematics.