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Geometric Mechanics and Symmetry

Geometric Mechanics and Symmetry
The Peyresq Lectures

Part of London Mathematical Society Lecture Note Series

  • Editors:
  • James Montaldi, University of Manchester Institute of Science and Technology
  • Tudor Ratiu, École Polytechnique Fédérale de Lausanne
K. R. Meyer, B. Rink, T. Tuwankotta, T. S. Ratiu, E. Sousa Dias, L. Sbano, G. Terra, R. Tudoran, D. D. Holm, R. H. Cushman, D. Sadovskii, K. Efstanthiou, H. Broer, M.-C. Ciocci, A. Litvak-Hinenzon, P.-L. Buono, F. Laurent-Polz, J. Montaldi
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  • Date Published: May 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521539579

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About the Authors
  • The lectures in this 2005 book 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.

    • Deriving from six short lecture courses that were given by leading academics, this book brings young researchers to the current frontier of knowledge in Geometric Mechanics
    • Overview of Geometric Mechanics from several authors who are well-known in their field of expertise
    • Many topics are covered - from the basic concepts of symplectic and Poisson geometry, through integrable systems, KAM theory, fluid dynamics and symmetric bifurcation theory
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    Product details

    • Date Published: May 2005
    • format: Paperback
    • isbn: 9780521539579
    • length: 414 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.6kg
    • contains: 42 b/w illus. 2 colour illus.
    • availability: Available
  • Table of Contents

    1. Stability in Hamiltonian systems: applications to the restricted three-body problem K. R. Meyer, B. Rink and T. Tuwankotta
    2. A crash course in geometric mechanics T. S. Ratiu, E. Sousa Dias, L. Sbano, G. Terra and R. Tudoran
    3. The Euler-Poincaré variational framework for modeling fluid dynamics D. D. Holm
    4. No polar coordinates R. H. Cushman, D. Sadovskii and K. Efstanthiou
    5. Survey on dissipative KAM theory including quasi-periodic bifurcation theory H. Broer, M.-C. Ciocci and A. Litvak-Hinenzon
    6. Symmetric Hamiltonian bifurcations P.-L. Buono, F. Laurent-Polz and J. Montaldi.

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    Geometric Mechanics and Symmetry

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  • Editors

    James Montaldi, University of Manchester Institute of Science and Technology
    James Montaldi is a Reader in Mathematics at the University of Manchester.

    Tudor Ratiu, École Polytechnique Fédérale de Lausanne
    Tudor Ratiu is a Professor of Mathematics and holds the chair of Geometric Analysis at the Swiss Federal Institute of Technology in Lausanne.

    Contributors

    K. R. Meyer, B. Rink, T. Tuwankotta, T. S. Ratiu, E. Sousa Dias, L. Sbano, G. Terra, R. Tudoran, D. D. Holm, R. H. Cushman, D. Sadovskii, K. Efstanthiou, H. Broer, M.-C. Ciocci, A. Litvak-Hinenzon, P.-L. Buono, F. Laurent-Polz, J. Montaldi

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