Non commutative geometry for outsiders; an elementary introduction to motivations and tools

TL;DR

This paper provides an accessible introduction to noncommutative geometry, explaining motivations and basic tools suitable for undergraduates and supporting understanding of recent physics applications.

Contribution

It offers a simplified, introductory overview of noncommutative geometry tailored for newcomers and those interested in its physical implications.

Findings

Clarifies foundational concepts of noncommutative geometry

Connects mathematical tools to recent physics research

Serves as educational resource for beginners

Abstract

Since the subject of noncommutative geometry is now entering maturity, we felt there is need for presentation of the material at an undergraduate course level. Our review is a zero order approximation to this project. Thus, the present paper attempts to offer some motivations and mathematical prerequisites for a deeper study or at least to serve as support in glancing at recent results in theoretical physics.