A sneaky proof of the maximum modulus principle

TL;DR

This paper introduces a novel proof of the maximum modulus principle within the unit disc, utilizing linear algebra techniques, offering an alternative perspective to traditional complex analysis proofs.

Contribution

It provides a new linear algebra-based proof of the maximum modulus principle, diverging from classical methods.

Findings

Proof is based on linear algebra techniques.

Offers an alternative approach to classical proofs.

Enhances understanding of the maximum modulus principle.

Abstract

A proof for the maximum modulus principle (in the unit disc) is presented. This proof is unusual in that it is based on linear algebra.