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/