This is an advanced 1997 text for first-year graduate students in
physics and engineering taking a standard classical mechanics
course. It was the first book to describe the subject in the
context of the language and methods of modern nonlinear dynamics.
The organising principle of the text is integrability vs.
nonintegrability. Flows in phase space and transformations are
introduced early and systematically and are applied throughout the
text. The standard integrable problems of elementary physics are
analysed from the standpoint of flows, transformations, and
integrability. This approach then allows the author to introduce
most of the interesting ideas of modern nonlinear dynamics via the
most elementary nonintegrable problems of Newtonian mechanics. This
text will be of value to physicists and engineers taking graduate
courses in classical mechanics. It will also interest specialists
in nonlinear dynamics, mathematicians, engineers and system
theorists.
General
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