Famous Theorems of Mathematics/π is transcendental

Introduction

The proof of the transcendence (inalgebraicy) of $\pi$ is in many ways similar to that of ${\text{e}}$.

However, we must introduce a number of very important issues before proceeding to the full, detailed proof.

Basic prior knowledge about complex numbers is required.

Chapters

• Monomial ordering
• Symmetric polynomials
• Elementary symmetric polynomials
• Fundamental theorem of symmetric polynomials
• Proof