D. M. Klimov

Group-Theoretic Methods in Mechanics and Applied Mathematics (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. Group-Theoretic Methods in Mechanics and Applied Mathematics systematizes the group analysis of the main postulates of classical and relativistic mechanics. Exact solutions are given for the following equations: dynamics of rigid body, heat transfer, wave, hydrodynamics, Thomas-Fermi, and more. The author pays particular attention to the application of group analysis to developing asymptotic methods for problems with small parameters. This book is designed for a broad audience of scientists, engineers, and students in the fields of applied mathematics, mechanics and physics.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 21. April 2014
• Englisch
• ISBN-13: 9781040217894
• Artikelnr.: 73256400

Autorenporträt

Klimov, D.M. Zhuravlev, V. Ph.

Inhaltsangabe

Annotation Preface. Basic Notions of Lie Groups. Group Analysis of Basic
Postulates of Classical and Relativistic Mechanics. Fundamental Theorems
and Conservation Laws. Applications of Group Analysis to Problems of
Mechanics and Physics. Construction of Asymptotic Expansions with the Aid
of Group Methods. Nonlinear Problems in Theory of Oscillations References.
Index.