Interesting Maths

$f (a) = \frac{1}{2 π i} \oint_{Γ} \frac{f (z)}{z - a} d z$

Group Theory: the study of groups, a complex mathematical structure that applies to many different fields. Examples include Rubik's Cube, Symmetries of a Triangle, Real Numbers, Complex Numbers, Matrices, and more.

\begin{matrix} R & \overset{f}{\to} & G_{1} \\ g ↓ & ↑ ζ \\ G_{2} & \to_{τ}^{} & D_{n} \\ γ ╲ ↘ \\ M \end{matrix}

Surface Integrals: a complex topic from calculus that brings together everything else. It finds surface area. It relates to fluids, vectors, electricity and magnetism, and more. It also has a fun name, flux.