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Introduction to Mechanics and Symmetry : A Basic Exposition of Classical Mechanical Systems.

By: Contributor(s): Material type: TextTextSeries: Texts in Applied Mathematics SeriesPublisher: New York, NY : Springer New York, 1999Copyright date: ©1999Edition: 2nd edDescription: 1 online resource (593 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780387217925
Subject(s): Genre/Form: Additional physical formats: Print version:: Introduction to Mechanics and SymmetryDDC classification:
  • 531
LOC classification:
  • QC19.2-20.85
Online resources:
Contents:
Texts in Applied Mathematics -- Introduction to Mechanics and Symmetry -- Copyright -- Series Preface -- Preface -- About the Authors -- Contents -- 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-Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References -- Index.
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Texts in Applied Mathematics -- Introduction to Mechanics and Symmetry -- Copyright -- Series Preface -- Preface -- About the Authors -- Contents -- 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-Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References -- Index.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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