Differential Forms and Applications /

The book treats differential forms and uses them to study some local and global aspects of the differential geometry of surfaces. Differential forms are introduced in a simple way that will make them attractive to "users" of mathematics. A brief and elementary introduction to differentiabl...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Carmo, Manfredo P.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg, 1994.
Colección:Universitext.
Temas:
Mathematics.
Global analysis (Mathematics)
Global differential geometry.
Mathematical physics.
Mathematics
Mathématiques.
Analyse globale (Mathématiques)
Géométrie différentielle globale.
Physique mathématique.
Análisis global (Matemáticas)
Física matemática
Global differential geometry
Mathematical physics
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Differential Forms in Rn
  • 2. Line Integrals
  • 3. Differentiable Manifolds
  • 4. Integration on Manifolds; Stokes Theorem and Poincaré's Lemma
  • 1. Integration of Differential Forms
  • 2. Stokes Theorem
  • 3. Poincaré's Lemma
  • 5. Differential Geometry of Surfaces
  • 1. The Structure Equations of Rn
  • 2. Surfaces in R3
  • 3. Intrinsic Geometry of Surfaces
  • 6. The Theorem of Gauss-Bonnet and the Theorem of Morse
  • 1. The Theorem of Gauss-Bonnet
  • 2. The Theorem of Morse
  • References.

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