Mathematics (like programming) is often called an art form. This makes mathematics the art of argument in the sense that the beauty of a proof lies in its method. An aesthetic proof is an elegant, inspired, concise, and beautiful expression. Here I present a collection of aesthetic proofs I’ve come across over the years.

No Background Needed

Number Theory & Combinatorics

Linear Algebra

Geometry

Logic

Analysis

Abstract Algebra

Complexity Theory

Topology

The Fundamental Theorem of Algebra

False Proofs