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arXiv:1612.06373math.GT

A Singular Mathematical Promenade

Etienne Ghys

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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.

arXiv comments
300 pages, 500 figures
Journal reference
DOI
Subjects
math.GTGeometric Topology math.AGAlgebraic Geometry math.HOHistory and Overview

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