Introduction to Mechanics and Symmetry

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Sprache: Englisch

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Beschreibung

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.

Zusammenfassung

Inhaltsverzeichnis

Preface * About the Authors * 1 Introduction and Overview * 2 Hamiltonian Systems on Linear Symplectic Spaces * 3 An Introduction to Infinite-Dimensional Systems * 4 Manifolds, Vector Fields, and Differential Forms * 5 Hamiltonian Systems on Symplectic Manifolds * 6 Cotangent Bundles * 7 Lagrangian Mechanics * 8 Variational Principles, Constraints, and Rotating Systems * 9 An Introduction to Lie Groups * 10 Poisson Manifolds * 11 Momentum Maps *12 Computation and Properties of Momentum Maps * 13 Lie-Poisson and Euler-Poincare Reduction * 14 Coadjoint Orbits * 15 The Free Rigid Body * References

Details

Medium:	Taschenbuch
Reihe:	Texts in Applied Mathematics
Inhalt:	xviii 586 S. 28 s/w Illustr.
ISBN-13:	9781441931436
ISBN-10:	1441931430
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Marsden, Jerrold E. Ratiu, Tudor S.
Auflage:	Second Edition 1999
Hersteller:	Springer Springer US, New York, N.Y. Texts in Applied Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 33 mm
Von/Mit:	Jerrold E. Marsden (u. a.)
Erscheinungsdatum:	01.12.2010
Gewicht:	0,902 kg