Differential Geometry and Mathematical Physics Part I. Manifolds, Lie Groups and Hamiltonian Systems /

Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reductio...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Rudolph, Gerd (Autor), Schmidt, Matthias (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Theoretical and Mathematical Physics,
Temas:
Mathematical physics.
Global analysis (Mathematics).
Manifolds (Mathematics).
Mechanics.
Topological groups.
Lie groups.
Geometry, Differential.
Mathematical Methods in Physics.
Global Analysis and Analysis on Manifolds.
Classical Mechanics.
Topological Groups and Lie Groups.
Differential Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Differentiable manifolds
  •  2 Vector bundles
  •  3 Vector fields
  •  4 Differential forms
  •  5 Lie groups
  •  6 Lie group actions
  •  7 Linear symplectic algebra
  •  8 Symplectic geometry
  •  9 Hamiltonian systems
  •  10 Symmetries
  • 11 Integrability
  • 12 Hamilton-Jacobi theory
  •  References.

Ejemplares similares