Introduction to Mechanics and Symmetry
A Basic Exposition of Classical Mechanical Systems
Jerrold Marsden, Tudor Stefan Ratiu
Résumé
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.
"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."
Preface
About the Authors
Chapter 1: Introduction and Overview
Chapter 2: Hamiltonian Systems on Linear Symplectic
Spaces
Chapter 3: An Introduction to Infinite-Dimensional
Systems
Chapter 4: Manifolds, Vector Fields, and Differential
Forms
Chapter 5: Hamiltonian Systems on Symplectic
Manifolds
Chapter 6: Cotangent Bundles
Chapter 7: Lagrangian Mechanics
Chapter 8: Variational Principles, Constraints, and
Rotating Systems
Chapter 9: An Introduction to Lie Groups
Chapter 10: Poisson Manifolds
Chapter 11: Momentum Maps
Chapter 12: Computation and Properties of Momentum
Maps
Chapter 13: Lie-Poisson and Euler-Poincaré Reduction
Chapter 14: Coadjoint Orbits
Chapter 15: The Free Rigid Body
References
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Springer |
Auteur(s) | Jerrold Marsden, Tudor Stefan Ratiu |
Parution | 29/06/1999 |
Édition | 2eme édition |
Nb. de pages | 560 |
Format | 16 x 24 |
Couverture | Relié |
Poids | 955g |
Intérieur | Noir et Blanc |
EAN13 | 9780387986432 |
ISBN13 | 978-0-387-98643-2 |
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