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

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sirovich, L.
Otros Autores: Golubitsky, M.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Springer New York, 1999.
Edición:N.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 Reduction14 Coadjoint Orbits; 15 The Free Rigid Body; References; Index.