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Table of contents (15 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
"The book is self-contained.It remains a good and solid introduction to this subject."
Nieuw Archief voor Wiskunde, March 2001 "... This book takes the reader on one of the greatest journeys in modern mathematics that has as its roots a subject that is more than 300 years old. Armed with this knowledge a reader is ready to pursue numerous topics of active mathematical research, from the more pure domains of symplectic geometry and topology to the geometric analysis of the limitless supply of examples from mechanics."
Newsletter of the Newzealand Mathematical Society, No. 81, April 2001
Second Edition
J.E. Marsden and T.S. Ratiu
Introduction to Mechanics and Symmetry
A Basic Exposition of Classical Mechanical Systems
"As the name of the book implies, a consistent theme running through the book is that of symmetry. Indeed the latter half of the book focuses on Poisson manifolds, momentum maps, Lie-Poisson reduction, co-adjoint orbits and the integrability of the rigid body. The discussion of reduction must be the most comprehensive yet given. A pleasant feature of the book is that most of the theory that relates to finite-dimensional mechanical systems is illustrated concretely in terms of local coordinates, thereby making the book accessible even to beginners in the field."—MATHEMATICAL REVIEWS
Authors and Affiliations
Bibliographic Information
Book Title: Introduction to Mechanics and Symmetry
Book Subtitle: A Basic Exposition of Classical Mechanical Systems
Authors: Jerrold E. Marsden, Tudor S. Ratiu
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-0-387-21792-5
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 1999
Hardcover ISBN: 978-0-387-98643-2Published: 14 April 1999
Softcover ISBN: 978-1-4419-3143-6Published: 01 December 2010
eBook ISBN: 978-0-387-21792-5Published: 19 March 2013
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 2
Number of Pages: XVIII, 586
Topics: Theoretical, Mathematical and Computational Physics, Topological Groups, Lie Groups, Manifolds and Cell Complexes (incl. Diff.Topology)