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Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto


Étienne Ghys
École Normale Supérieure de Lyon
MR ID: 73135
Reference #


Posted date
2016-12-06 19:41:28
Revised date
2019-02-11 09:07:31
Notes type
   Topics Course
   Introduction to Mathematics
      Commutative Algebra
      Complex Analysis
   Discrete Mathematics
      Graph Theory
      Algebraic Geometry
      Algebraic Topology
      Geometric Topology and Knot Theory

A Singular Mathematical Promenade

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.

This title has been published by the European Mathematical Society as a finished book and is available at