£145.37

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Springer Nonlinear Mechanics, Groups and Symmetry - Mathematics 319

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Description

Nonlinear Mechanics, Groups and Symmetry is a comprehensive monograph from Springer that explores asymptotic methods in perturbation theory through group-theoretical techniques. This advanced text investigates how specific group properties modify classical approaches including the Bogoliubov averaging method and Poincare-Birkhoff normal form, whilst introducing new methodologies based on Lie group normalisation. The book presents extensive worked examples demonstrating practical applications of group-theoretical techniques to real-world nonlinear mechanics problems. Designed for researchers and engineers working with nonlinear systems, this Volume 319 in the Mathematics and Its Applications series bridges theoretical group theory with applied mechanics, offering both rigorous mathematical foundations and concrete problem-solving strategies for complex dynamical systems.

Key Features

Springer publication presenting asymptotic perturbation theory methods enhanced through group-theoretical analysis and applications.

Covers modifications to established techniques including the Bogoliubov averaging method and Poincare-Birkhoff normal form theory.

Develops normalisation techniques using Lie groups with detailed mathematical foundations for nonlinear systems.

Includes extensive examples demonstrating how group-theoretical approaches solve specific mechanics and engineering problems.

Part of the Mathematics and Its Applications series providing advanced reference material for researchers in nonlinear dynamics.

Product Specifications

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

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