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.
General
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