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Group-Theoretic Methods in Mechanics and Applied Mathematics - D.M. Klimov

Group-Theoretic Methods in Mechanics and Applied Mathematics

By: D.M. Klimov

eText | 21 April 2014 | Edition Number 1

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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, heat transfer, wave, hydrodynamics, Thomas-Fermi, and more. The author pays particular attention to the application of group analysis to developing asymptotic methods for problems with small parameters. This book is designed for a broad audience of scientists, engineers, and students in the fields of applied mathematics, mechanics and physics.

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Published: 15th August 2002

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