CRM Proceedings & Lecture Notes
Volume: 32; 2002; 372 pp; Softcover
MSC: Primary 14; 17; 37; 35; 70; 81;
Print ISBN: 978-0-8218-2885-4
Product Code: CRMP/32
List Price: $138.00
Individual Member Price: $110.40
The Kowalevski PropertyShare this page
Edited by Vadim B. Kuznetsov
A co-publication of the AMS and Centre de Recherches Mathématiques
This book is a collection of survey articles on several topics related to the general notion of integrability. It stems from a workshop on “Mathematical Methods of Regular Dynamics” dedicated to Sophie Kowalevski. Leading experts introduce corresponding areas in depth. The book provides a broad overview of research, from the pioneering work of the nineteenth century to the developments of the 1970s through the present.
The book begins with two historical papers by R. L. Cooke on Kowalevski's life and work. Following are 15 research surveys on integrability issues in differential and algebraic geometry, classical complex analysis, discrete mathematics, spinning tops, Painlevé equations, global analysis on manifolds, special functions, etc. It concludes with Kowalevski's famous paper published in Acta Mathematica in 1889, “Sur le problème de la rotation d'un corps solide autour d'un point fixe”.
The book is suitable for graduate students in pure and applied mathematics, the general mathematical audience studying integrability, and research mathematicians interested in differential and algebraic geometry, analysis, and special functions.
Titles in this series are co-published with the Centre de Recherches Mathématiques.
Table of Contents
Table of Contents
The Kowalevski Property
Graduate students in pure and applied mathematics, the general mathematical audience studying integrability, and research mathematicians interested in differential and algebraic geometry, analysis, and special functions.