Introduction to Mechanics and Symmetry : a Basic Exposition of Classical Mechanical Systems.
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
New York :
Springer New York,
1999.
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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.