Geometric Mechanics and Symmetry

James Montaldi, James Montaldi Tudor S. Ratiu

    Research output: Book/ReportBookpeer-review


    These lectures are intended to bring young researchers to the current frontier of knowledge in geometrical mechanics and dynamical systems. They succinctly cover an unparalleled range of topics from the basic concepts of symplectic and Poisson geometry, through integrable systems, KAM theory, fluid dynamics, and symmetric bifurcation theory. The lectures are based on summer schools for graduate students and postdocs and provide complementary and contrasting viewpoints of key topics: the authors cut through an overwhelming amount of literature to show young mathematicians how to get to the core of the various subjects and thereby enable them to embark on research careers.
    Original languageEnglish
    PublisherCambridge University Press
    ISBN (Print)978-0-521-53957-9
    Publication statusPublished - 2005


    • Geometric Mechanics, Hamiltonian systems, bifurcations, symmetry, momentum maps, symplectic reduction, stabilityfluid dynamics, Euler-Poincare, integrable systems


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