Group-Theoretic Methods in Mechanics and Applied Mathematics (Differential and Integral...
by D.M. Klimov and V. Ph. Zhuravlev
Sales Rank: 4083768
List Price: $99.95 $99.95At Amazon on 10-14-2008
Hardcover: 230 pages
Publisher: CRC; 1 edition August 15, 2002
Language: English
ISBN-10: 0415298636
ISBN-13: 978-0415298636
Product Dimensions:
9.6 x 6.9 x 0.5 inches
Shipping Weight: 1.3 pounds
Product Description
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.
About The Author
D.M. Klimov and V.P. Zhuravlev are with the Russian Academy of Science in Russia.
Group-Theoretic Methods in Mechanics and Applied Mathematics (Differential and Integral...
Available from Amazon Price: $99.95 Updated on 10-14-2008
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