A stroll in the mathematical world. This is neither an elementary introduction to the theory of singularities, 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, combinatorics, and computer science. Hopefully, motivated undergraduates and more advanced mathematicians will enjoy some of these panoramas.
The LaTeX source files can be downloaded here (170 Mo).
A printed version is available for sale at ENS Éditions (27 €).
This book is published under a Creative Commons CC0 license.
A Russian translation is also available : Математическая прогулка с осмотром особенностей. Thanks to Evgeny Smirnov, for the translation, to Serge Lvovski for double checking this translation, to Vadim Radionov for the layout, and to Victor Klepsyn for suggesting all of this !
The Arabic version is now available (December 29th, 2021) as a birthday gift ! A huge “Merci” for my friend Hamza Khelif who did everything alone. A huge task.
La version française est parue en octobre 2023. Merci à Nicolas Bacaër pour son aide. Il a d’abord utilisé un traducteur automatique qui a produit une version “raisonnable” qu’il a fallu ensuite corriger. Le livre est publié chez Cassini.