Introduction to Mechanics and Symmetry : A Basic Exposition of Classical Mechanical Systems.
Marsden, Jerrold E.
Introduction to Mechanics and Symmetry : A Basic Exposition of Classical Mechanical Systems. - 2nd ed. - 1 online resource (593 pages) - Texts in Applied Mathematics Series ; v.17 . - Texts in Applied Mathematics Series .
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.
9780387217925
Mechanics, Analytic.
Electronic books.
QC19.2-20.85
531
Introduction to Mechanics and Symmetry : A Basic Exposition of Classical Mechanical Systems. - 2nd ed. - 1 online resource (593 pages) - Texts in Applied Mathematics Series ; v.17 . - Texts in Applied Mathematics Series .
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.
9780387217925
Mechanics, Analytic.
Electronic books.
QC19.2-20.85
531