Advanced Courses in Mathematics - CRM Barcelona

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Symplectic Geometry of Integrable Hamiltonian Systems

by Michele Audin, Ana Cannas Da Silva, and Eugene Lerman

Published 24 April 2003

Among all the Hamiltonian systems, the integrable ones have special geometric properties; in particular, their solutions are very regular and quasi-periodic. 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.