Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems / Edition 2

Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems / Edition 2

by J.E. Marsden, Tudor Ratiu
     
 

ISBN-10: 038798643X

ISBN-13: 9780387986432

Pub. Date: 04/14/1999

Publisher: Springer New York

A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers,…  See more details below

Overview

A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition 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.

Product Details

ISBN-13:
9780387986432
Publisher:
Springer New York
Publication date:
04/14/1999
Series:
Texts in Applied Mathematics Series, #17
Edition description:
2nd ed. Corr. 2nd printing 2002
Pages:
586
Product dimensions:
9.21(w) x 6.14(h) x 1.31(d)

Table of Contents

Preface
About the Authors
1Introduction and Overview1
2Hamiltonian Systems on Linear Symplectic Spaces61
3An Introduction to Infinite-Dimensional Systems105
4Manifolds, Vector Fields, and Differential Forms121
5Hamiltonian Systems on Symplectic Manifolds147
6Cotangent Bundles165
7Lagrangian Mechanics181
8Variational Principles, Constraints, & Rotating Systems219
9An Introduction to Lie Groups265
10Poisson Manifolds327
11Momentum Maps365
12Computation and Properties of Momentum Maps383
13Lie - Poisson and Euler - Poincare Reduction415
14Coadjoint Orbits443
15The Free Rigid Body481
References519
Index553

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