Introduction to classical integrable systems /

Babelon, Olivier, 1951-

Introduction to classical integrable systems / Olivier Babelon, Denis Bernard, Michel Talon. - Cambridge ; New York : Cambridge University Press, 2003. - 1 online resource (xi, 602 pages) - Cambridge monographs on mathematical physics . - Cambridge monographs on mathematical physics. .

Includes bibliographical references and index.

Cover; Half-title; Series-title; Title; Copyright; Contents; 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.

A clear and pedagogical introduction to classical integrable systems and their applications. It synthesises 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.

0511062044 (electronic bk.) 9780511062049 (electronic bk.) 9780511535024 (electronic bk.) 0511535023 (electronic bk.) 9780511323775 (ebk.) 0511323778


Dynamics.
Hamiltonian systems.
Dynamique.
Systèmes hamiltoniens.
SCIENCE--Mechanics--General.
SCIENCE--Mechanics--Solids.
Dynamics.
Hamiltonian systems.
Dynamics.
Hamiltonian systems.
Integrables System
Dinâmica.


Electronic books.
Electronic books.

QA845 / .B32 2003eb

531/.163

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