Hamiltonian Systems and Their Integrability (SMF/AMS Texts & Monographs)

Hamiltonian Systems and Their Integrability (SMF/AMS Texts & Monographs)

Paperback

Up to 2 WeeksUsually despatched within 2 weeks

Description

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 algebro-geometric methods related to Lax equations. 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. This book would be suitable for a graduate course in Hamiltonian systems.

Contents

Introduction to integrable systems Action-angle variables Integrability and Galois groups 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 Bibliography Index.

Product Details

  • ISBN13: 9780821844137
  • Format: Paperback
  • ID: 9780821844137
  • ISBN10: 082184413X

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close