Group-Theoretic Methods in Mechanics and Applied Mathematics - Couverture souple

Klimov, D.M.

 
9780367446987: Group-Theoretic Methods in Mechanics and Applied Mathematics
Couverture souple
ISBN 10 : 0367446987 ISBN 13 : 9780367446987
Editeur : 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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À propos de l?auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2020
Langue
anglais
ISBN 10 
0367446987
ISBN 13 
9780367446987
Reliure
Broché
Nombre de pages
238
Coordonnées du fabricant
non disponible
Personne responsable
non disponible