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

ISBN-10: 038798643X
ISBN-13: 9780387986432
Edition: 2nd 1999 (Revised)
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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  More...

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Book details

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

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 numerous specific applications, making it beneficial to physicists and engineers. This text has specific examples and applications showing how the theory works, and up-to-date techniques, all of which makes it accessible to a wide variety of readers, expecially senior undergraduate and graduate students in mathematics, physics and engineering.For this second edition, the text has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available on-line.

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

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