Produktbild: Energy Methods in Dynamics

Energy Methods in Dynamics

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149,99 €

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Interaction of Mechanics and Mathematics

ISBN: 331905418X
ISBN 13: 9783319054186
Autor: Le, Khanh Chau/Nguyen, Lu Trong Khiem
Verlag: Springer Verlag GmbH
Umfang: xii, 413 S., 183 s/w Illustr., 413 p. 183 illus.
Erscheinungsdatum: 18.03.2014
Auflage: 2/2015
Produktform: Kartoniert
Einband: Kartoniert

Energy Methods in Dynamics is a textbook based on the lectures given by the first author at Ruhr University Bochum, Germany. Its aim is to help students acquire both a good grasp of the first principles from which the governing equations can be derived, and the adequate mathematical methods for their solving. Its distinctive features, as seen from the title, lie in the systematic and intensive use of Hamilton’s variational principle and its generalizations for deriving the governing equations of conservative and dissipative mechanical systems, and also in providing the direct variational-asymptotic analysis, whenever available, of the energy and dissipation for the solution of these equations. It demonstrates that many well-known methods in dynamics like those of Lindstedt-Poincare, Bogoliubov-Mitropolsky, Kolmogorov-Arnold-Moser (KAM), Wentzel-Kramers-Brillouin (WKB),  and Whitham are derivable from this variational-asymptotic analysis.  This second edition includes the solutions to all exercises as well as some new materials concerning amplitude and slope modulations of nonlinear dispersive waves.

Artikelnummer: 6224438 Kategorie:

Beschreibung

Autorenporträt

InhaltsangabePart I Linear theory.- Part II Nonlinear theory.

Herstellerkennzeichnung:


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E-Mail: juergen.hartmann@springer.com

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