Interesting Maths

$$ f(a)=\frac{1}{2\pi i} \oint_\Gamma \frac{f(z)}{z-a}dz $$


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.

$$ \def\diagUpArrow#1{\smash{ \raise.6em\rlap{\scriptstyle #1} \lower.3em{\mathord{\diagup}} \raise.52em{\!\mathord{\nearrow}} }} \def\diagDownArrow#1{\smash{ \raise.5em\rlap{\ \ \ \scriptstyle #1} \raise.3em{\mathord{\diagdown}} \lower.52em{\!\mathord{\searrow}} }} \begin{CD} {R} @> {f} >> {G_1} \\ @V{g}VV @AA{\zeta}A \\ {G_2} @>>{\tau}> {D_n} \\ &&& \diagDownArrow{\gamma} \\ &&&& {M} \end{CD} $$

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.