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Geometric Mechanics and Symmetry

Geometric Mechanics and Symmetry
The Peyresq Lectures

$130.00 (C)

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: June 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521539579

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About the Authors
  • Geometric mechanics borders pure and applied mathematics and incorporates such disciplines as differential geometry, Hamiltonian mechanics and integrable systems. The source of this collection is the summer school on Geometric Mechanics and Symmetry organized by James Montaldi and Tudor Ratiu. Written with significant input from the participants at the conference, these lecture notes are geared towards fulfilling the needs of graduate students through their attention to detail.

    • 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: June 2005
    • format: Paperback
    • isbn: 9780521539579
    • length: 414 pages
    • dimensions: 229 x 152 x 23 mm
    • weight: 0.61kg
    • 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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