Introduction to Mechanics and Symmetry A Basic Exposition of Classical Mechanical Systems

Name: Introduction to Mechanics and Symmetry A Basic Exposition of Classical Mechanical Systems
Price: 56.54 USD
Availability: InStock
ISBN: 9780387986432

ISBN-10: 038798643X

ISBN-13: 9780387986432

Edition: 2nd 1999 (Revised)

Authors: Jerrold E. Marsden, Tudor S. Ratiu

List price: $109.00

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Description:

Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability and bifurcation, and the study of specific rigid, fluid, plasma and elastic systems. Introduction to Mechanics and Symmetry lays the basic foundation for these topics and includes…

Book details

List price: $109.00
Edition: 2nd
Copyright year: 1999
Publisher: Springer
Publication date: 12/13/2002
Binding: Hardcover
Pages: 586
Size: 6.50" wide x 9.75" long x 1.25" tall
Weight: 2.2
Language: English



Preface


About the Authors



Introduction and Overview



Hamiltonian Systems on Linear Symplectic Spaces



An Introduction to Infinite-Dimensional Systems



Manifolds, Vector Fields, and Differential Forms



Hamiltonian Systems on Symplectic Manifolds



Cotangent Bundles



Lagrangian Mechanics



Variational Principles, Constraints, and Rotating Systems



An Introduction to Lie Groups



Poisson Manifolds



Momentum Maps



Computation and Properties of Momentum Maps



Lie-Poisson and Euler-Poincare Reduction



Coadjoint Orbits



The Free Rigid Body


References