Group-Theoretic Methods in Mechanics and Applied Mathematics
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.
1137045709
Group-Theoretic Methods in Mechanics and Applied Mathematics
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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Group-Theoretic Methods in Mechanics and Applied Mathematics

Group-Theoretic Methods in Mechanics and Applied Mathematics

by D.M. Klimov
Group-Theoretic Methods in Mechanics and Applied Mathematics
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Group-Theoretic Methods in Mechanics and Applied Mathematics

Group-Theoretic Methods in Mechanics and Applied Mathematics

by D.M. Klimov

Overview

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.

Product Details

ISBN-13: 9781040217894
Publisher: CRC Press
Publication date: 04/21/2014
Sold by: Barnes & Noble
Format: eBook
Pages: 240
File size: 2 MB

About the Author

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

Table of Contents

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.
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