AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
The Mathematical Heritage of Henri Poincaré, Part 2
About this Title
Felix E. Browder, Editor
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
1983; Volume 39.2
ISBNs: 978-0-8218-1449-9 (print); 978-0-8218-9330-2 (online)
DOI: https://doi.org/10.1090/pspum/039.2
Table of Contents
Download chapters as PDF
Front/Back Matter
Topological methods in nonlinear problems
- Raoul Bott – Lectures on Morse theory, old and new
- Haïm Brezis – Periodic solutions of nonlinear vibrating strings and duality principles
- Felix E. Browder – Fixed point theory and nonlinear problems
- L. Nirenberg – Variational and topological methods in nonlinear problems
Mechanics and dynamical systems
- Jean Leray – The meaning of Maslov’s asymptotic method: The need of Planck’s constant in mathematics
- David Ruelle – Differentiable dynamical systems and the problem of turbulence
- Steve Smale – The fundamental theorem of algebra and complexity theory
Ergodic theory and recurrence
- Harry Furstenberg – Poincaré recurrence and number theory
- H. Furstenberg, Y. Katznelson and D. Ornstein – The ergodic theoretical proof of Szemerédi’s theorem
Historical material
- P. S. Aleksandrov – Poincaré and topology
- Henri Poincaré – Résumé analytique
- Jacques Hadamard – L’oeuvre mathématique de Poincaré