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Geometric mechanics and symmetry : the Peyresq lectures / edited by James Montaldi, Tudor Ratiu.

Contributor(s): Material type: TextTextSeries: London Mathematical Society lecture note series ; 306.Publisher: Cambridge : Cambridge University Press, 2005Description: 1 online resource (x, 402 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511526367 (ebook)
Other title:
  • Geometric Mechanics & Symmetry
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 516.3 22
LOC classification:
  • QA805 .G39 2005
Online resources:
Contents:
Stability in Hamiltonian systems: applications to the restricted three-body prolem (K.R.) / B. Rink, T. Tuwankotta -- A crash course in geometric mechanics (T.S. Ratiu) / T.S. Ratiu [and others] -- The Euler-Poincaré variational framework for modeling fluid dynmics (D.D. Holm) / D.D. Holm -- No polar coordinates (R.H. Cushman) / Sadovskif, K. Efstathiou -- Survey on dissipative KAM theory including quasi-periodic bifurcation theory (H. Broer) / H. Broer, M.-C. Ciocci, A. Litvak-Hinenzon -- Symmetric Hamiltonian bifucations (J.A. Montaldi) / P.-L. Buono, F. Laurent-Polz, J. Montaldi.
Summary: 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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Stability in Hamiltonian systems: applications to the restricted three-body prolem (K.R.) / B. Rink, T. Tuwankotta -- A crash course in geometric mechanics (T.S. Ratiu) / T.S. Ratiu [and others] -- The Euler-Poincaré variational framework for modeling fluid dynmics (D.D. Holm) / D.D. Holm -- No polar coordinates (R.H. Cushman) / Sadovskif, K. Efstathiou -- Survey on dissipative KAM theory including quasi-periodic bifurcation theory (H. Broer) / H. Broer, M.-C. Ciocci, A. Litvak-Hinenzon -- Symmetric Hamiltonian bifucations (J.A. Montaldi) / P.-L. Buono, F. Laurent-Polz, J. Montaldi.

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.

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