Nonlinear Mechanics, Groups And Symmetry (Mathematics And Its Applications)

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This unique monograph deals with the development of asymptotic methods of perturbation theory, making wide use of group- theoretical techniques. Various assumptions about specific group properties are investigated, and are shown to lead to modifications of existing methods, such as the Bogoliubov averaging method and the Poincaré--Birkhoff normal form, as well as to the formulation of new ones. Th...

Series: Mathematics and Its Applications (Book 319)
Paperback: 382 pages
Publisher: Springer; Softcover reprint of hardcover 1st ed. 1995 edition (December 7, 2010)
Language: English
ISBN-10: 9048145171
ISBN-13: 978-9048145171
Product Dimensions: 6.1 x 0.9 x 9.2 inches
Format: PDF ePub Text djvu ebook

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nt of normalization techniques of Lie groups is also treated. The wealth of examples demonstrates how these new group theoretical techniques can be applied to analyze specific problems.This book will be of interest to researchers and graduate students in the field of pure and applied mathematics, mechanics, physics, engineering, and biosciences.