Bøger af Michele Audin

This is a personal exploration of the life, the writings and the mathematical achievements of a remarkable 19th century woman; the book emphasizes the originality of Kovalevskaya's work and assesses her legacy and reputation as a mathematician and scientist.

The main body of this text is a rich assortment of methods and ideas from algebraic geometry prompted by classical mechanics. The book is based on courses for graduate students given by the author at Strasbourg University but the wealth of original ideas will make it appeal to researchers also.

It defines the Morse complex and the Morse homology, and develops some of their applications.Morse homology also serves a simple model for Floer homology, which is covered in the second part.

The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces.

Partly based on new and unpublished sources, and featuring fresh biographical material, this volume explores numerous features of the lives and work of the three mathematicians, from their central theorems to their place in early 20th century French society.

Among all the Hamiltonian systems, the integrable ones have special geometric properties; This book serves as an introduction to symplectic and contact geometry for graduate students, exploring the underlying geometry of integrable Hamiltonian systems. Includes exercises designed to complement the expositiont, and up-to-date references.