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Springer Nonlinear Mechanics, Groups and Symmetry: 319 Book

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Description

Explore advanced mathematical principles with Nonlinear Mechanics, Groups and Symmetry, part of the Mathematics and Its Applications series (319) from Springer. This monograph provides a deep look into the development of asymptotic methods of perturbation theory through the use of group-theoretical techniques. Readers will examine how specific group properties lead to the modification of established methods, including the Bogoliubov averaging method and the Poincare-Birkhoff normal form. The text also covers the formulation of new methods and the development of normalization techniques for Lie groups. Designed for specialists in mechanics and mathematics, this book provides a wealth of practical examples. These examples demonstrate how to apply new group theoretical techniques to analyze specific problems effectively. It serves as a valuable resource for those studying engineering technology and advanced mechanics.

Key Features

Covers the development of asymptotic methods of perturbation theory using group-theoretical techniques.

Investigates how specific group properties modify the Bogoliubov averaging method and Poincare-Birkhoff normal form.

Includes the formulation of new mathematical methods and normalization techniques of Lie groups.

Provides a wealth of examples to demonstrate the application of group theoretical techniques to specific problems.

Part of the Mathematics and Its Applications series (319) by Springer.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
06 December 2010
Listed Since
20 September 2010

Barcode

No barcode data available

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