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Group-Theoretic Methods in Mechanics and Applied Mathematics: 2 (Differential and Integral Equations and Their Applications) - Tapa dura

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

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

Sinopsis

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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Acerca del autor

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

De la contraportada

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,

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
CRC Press
Año de publicación
2002
Idioma
Inglés
ISBN 10 
0415298636
ISBN 13 
9780415298636
Encuadernación
Tapa dura
Número de edición
1
Número de páginas
240
Contacto del fabricante
Taylor and Francis, GPSR Taylor and Francis
gpsr@taylorandfrancis.com

Taylor & Francis Verlag GmbH, Kaufingerstraße 24
München
80331
Alemania