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Hamiltonian Dynamics
Hardcover
General MathematicsGeneral SciencePhysics
ISBN13: 9789810233082
Publisher: World Scientific Publishing Company
Published: Mar 22 2001
Pages: 456
Weight: 1.64
Height: 1.13 Width: 6.41 Depth: 8.57
Language: English
This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems.
As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity.
As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations.
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