Group-Theoretic Methods in Mechanics and Applied Mathematics (Differential and Integral Equations and Their Applications, Band 2) - Hardcover

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

 
9780415298636: Group-Theoretic Methods in Mechanics and Applied Mathematics (Differential and Integral Equations and Their Applications, Band 2)
Hardcover
ISBN 10: 0415298636 ISBN 13: 9780415298636
Verlag: CRC Press, 2002

Inhaltsangabe

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

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Verlag
CRC Press
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
0415298636
ISBN 13 
9780415298636
Einband
Gebundene Ausgabe
Anzahl der Seiten
240
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Verantwortliche Person
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