Items related to Group-Theoretic Methods in Mechanics and Applied Mathematics

Group-Theoretic Methods in Mechanics and Applied Mathematics - Softcover

Klimov, D.M.

 
9780367446987: Group-Theoretic Methods in Mechanics and Applied Mathematics
Softcover
ISBN 10: 0367446987 ISBN 13: 9780367446987
Publisher: CRC Press, 2020

Synopsis

Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time, this book gives the systematic group analysis of main postulates of classical and relativistic mechanics. The consistent presentation of Lie group theory is illustrated by plentiful examples. Symmetries and conservation laws of differential equations are studied. Specific equations and problems of mechanics and physics are considered, and 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 of applied mathematics in problems with small parameter. The methods are used to solve basic equations (Van Der Pol's equation, Duffing equation, etc.) encountered in the theory of nonlinear oscillations. This book is intended for a wide range of scientists, engineers and students in the fields of applied mathematics, mechanics and physics.

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About the Author

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

"About this title" may belong to another edition of this title.

Publisher
CRC Press
Publication date
2020
Language
English
ISBN 10 
0367446987
ISBN 13 
9780367446987
Binding
Paperback
Edition number
1
Number of pages
240