A Singular Mathematical Promenade

TL;DR

This paper offers a broad, engaging overview of various mathematical fields through historical and contemporary perspectives, aiming to inspire both students and mathematicians without presenting new theorems.

Contribution

It provides an accessible, panoramic exploration of mathematics, connecting historical figures and modern concepts without focusing on new theoretical results.

Findings

Historical insights into mathematics from Hipparchus to Gauss

Interdisciplinary connections across algebra, topology, geometry, and computer science

Encourages mathematical curiosity and appreciation

Abstract

This is neither an elementary introduction to singularity theory nor a specialized treatise containing many new theorems. The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis and computer science. Hopefully, some motivated undergraduates and some more advanced mathematicians will enjoy some of these panoramas.