Nonlinear Mechanics, Groups and Symmetry
by Yu. A. Mitropolsky
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. The development 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.
Check nearby libraries
Buy this book
Previews available in: English
Subjects
Differential Equations, Mathematics, Differential equations, partial, Topological Groups, Vibration, Nonlinear mechanics, Asymptotic expansions, Partial Differential equations, Ordinary Differential Equations, Lie Groups Topological Groups, Applications of Mathematics, Vibration, Dynamical Systems, ControlShowing 1 featured edition. View all 1 editions?
| Edition | Availability |
|---|---|
1
Nonlinear Mechanics, Groups and Symmetry
1995, Springer Netherlands
electronic resource /
in English
9048145171 9789048145171
|
aaaa
Libraries near you:
WorldCat
|
Book Details
Edition Notes
Online full text is restricted to subscribers.
Also available in print.
Mode of access: World Wide Web.
Classifications
The Physical Object
ID Numbers
Community Reviews (0)
Feedback?
| September 29, 2024 | Edited by MARC Bot | import existing book |
| August 2, 2020 | Edited by ImportBot | import existing book |
| July 5, 2019 | Created by MARC Bot | import new book |