Group-Theoretic Methods in Mechanics and Applied Mathematics
Published on 21. April 2014
240 pages
978-1-040-21789-4 (ISBN)
Description
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.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
Professional and scholarly
File size
2,03 MB
ISBN-13
978-1-040-21789-4 (9781040217894)
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Schweitzer Classification
Other editions
Additional editions
Book
06/2020
1st Edition
CRC Press
€76.81
Shipment within 15-20 days
Book
08/2002
1st Edition
CRC Press
€185.90
Shipment within 15-20 days
Content
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.
