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# math

## Basic idea

The study of structure, quantity, change, and space using formal reasoning. Subdivides into algebra (structure), analysis (change), geometry/topology (space), logic/set theory (foundations) and discrete math.

## Key formulas

* Euler's identity: $e^{i\pi}+1=0$
* Pythagoras: $a^2+b^2=c^2$
* Fundamental theorem of calculus: $\int\_a^b f'(x),dx = f(b)-f(a)$
* Binomial theorem: $(x+y)^n=\sum\_{k=0}^{n}\binom{n}{k}x^{n-k}y^k$