Olivier Babelon, Denis Bernard, Michel Talon

Introduction to Classical Integrable Systems

• Broschiertes Buch

Produktbeschreibung

A clear and pedagogical introduction to classical integrable systems and their applications. It synthesizes the different approaches to the subject, providing a set of interconnected methods for solving problems in mathematical physics. Each method is introduced and explained, before being applied to particular examples.

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Produktdetails

• Cambridge Monographs on Mathematical Physics
• Verlag: Cambridge University Press
• Seitenzahl: 616
• Erscheinungstermin: 29. Dezember 2006
• Englisch
• Abmessung: 244mm x 170mm x 33mm
• Gewicht: 968g
• ISBN-13: 9780521036702
• ISBN-10: 0521036704
• Artikelnr.: 22753774

Autorenporträt

Olivier Babelon has been a member of the Centre National de la Recherche Scientifique (CNRS) since 1978. He works at the Laboratoire de Physique Théorique et Hautes Energies (LPTHE) at the University of Paris VI-Paris VII. His main fields of interest are particle physics, gauge theories and integrables systems.

Inhaltsangabe

1. Introduction
2. Integrable dynamical systems
3. Synopsis of integrable systems
4. Algebraic methods
5. Analytical methods
6. The closed Toda chain
7. The Calogero-Moser model
8. Isomonodromic deformations
9. Grassmannian and integrable hierarchies
10. The KP hierarchy
11. The KdV hierarchy
12. The Toda field theories
13. Classical inverse scattering method
14. Symplectic geometry
15. Riemann surfaces
16. Lie algebras
Index.