Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems (Texts in Applied Mathematics) - Hardcover

Marsden, Jerrold E.; Ratiu, Tudor S.

Hardcover

ISBN 10: 0387972757 ISBN 13: 9780387972756

Publisher: Springer Verlag, 1994

Synopsis

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 emphasize the role of symmetry in various aspects of mechanics. In recent times, this feature has accelerated because of new applications of symmetry techniques for studying integrable and chaotic systems, stability and bifurcation, as well as for obtaining new insight into specific rigid, fluid, plasma and elastic systems. Mechanics and Symmetry lays the basic foundation for these topics. It also covers reduction theory and includes numerous specific applications, making it beneficial to physicists and engineers. Unlike the competition, 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, especially senior undergraduate and graduate students in mathematics, physics and engineering.

About this title

Review

"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

Edition details

• Publisher: Springer Verlag
• Publication date: 1994
• ISBN 10: 0387972757
• ISBN 13: 9780387972756
• Binding: Hardcover
• Language: English
• Number of pages: 500