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

Marsden, Jerrold E. E.; Ratiu, Tudor S.

ISBN 10: 1441931430 / ISBN 13: 9781441931436

Editore: Springer, 2010

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Dati bibliografici

• Titolo: Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems (Texts in Applied Mathematics)
• Editore: Springer
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 1441931430
• ISBN 13: 9781441931436
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

Symmetry's role in mechanics has always been important. In recent times, this aspect 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. The new edition of this book, which lays the basic foundations for these topics, including reduction theory along with specific applications, has been extensively updated and includes new illustrations and exercises.

Recensione

"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