Introduction to Mechanics and Symmetry

A Basic Exposition of Classical Mechanical Systems

Jerrold Marsden, Tudor Stefan Ratiu

560 pages, parution le 29/06/1999 (2^eme édition)

Ajouter à une liste

Indisponible

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."

Table of contents

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	2^eme 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