Geometric Mechanics and Symmetry : the Peresq Lectures

James Montaldi, Tudor Stefan Ratiu - Collection London Mathematical Society Student Texts

402 pages, parution le 11/05/2005

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Résumé

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.

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

Sommaire

List of contributors
Preface
Stability in Hamiltonian Systems: Applications to the restricted three-body problem
A Crash Course in Geometric Mechanics
The Euler-Poincare variational framework for modeling fluid dynamics
No polar coordinates
Survey on dissipative KAM theory including quasi-periodic bifurcation theory
Symmetric Hamiltonian Bifurcations

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	James Montaldi, Tudor Stefan Ratiu
Collection	London Mathematical Society Student Texts
Parution	11/05/2005
Nb. de pages	402
Format	15 x 23
Couverture	Broché
Poids	595g
Intérieur	Noir et Blanc
EAN13	9780521539579
ISBN13	978-0-521-53957-9