VERY GOOD: The book is in very condition, with only the slightest signs of use and wear. The pages are clean and the binding is tight. Printed on acid-free paper.
Product Details
From the back cover: "Hamiltonian systems began as a mathematical approach to the study of mechanical systems. As the theory developed, it became clear that the systems that had a sufficient number of conserved quantities enjoyed certain remarkable properties. These are the completely integrable systems. In time, a rich interplay arose between integrable systems and other areas of mathematics, particularly topology, geometry, and group theory.
"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques include analytical methods coming from the Galois theory of differential equations, as well as more classical algebra-geometric methods related to Lax equations.
"[Author Michèle] Audin has included many examples and exercises. Most of the exercises build on the material in the text. None of the important proofs have been relegated to the exercises. Many of the examples are classical, rather than abstract."
BRIEF CONTENTS
Introduction
Chapter I. Introduction to Integrable Systems
Chapter II. Action-Angle Variables
Chapter III. Integrability and Galois Groups
Chapter IV. An Introduction to Lax Equations
Appendix A. What One Needs to Know About Differential Galois Theory
Appendix B. What One Needs to Know About Algebraic Curves
