1st Edition

Group-Theoretic Methods in Mechanics and Applied Mathematics

By D.M. Klimov, V. Ph. Zhuravlev Copyright 2004
240 Pages
by CRC Press

240 Pages
by CRC Press

240 Pages
by CRC Press

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.... Read more
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.

Biography

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