Differential geometry for physicists and mathematicians : moving frames and differential forms : from Euclid past Riemann /

This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Vargas, José G.
Autor Corporativo: World Scientific (Firm)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, N.J. : World Scientific Pub. Co., ©2010.
Temas:
Mathematical physics.
Geometry, Differential.
Physique mathématique.
Géométrie différentielle.
MATHEMATICS > Geometry > General.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • I. Introduction. 1. Orientations
  • II. Tools. 2. Differential forms
  • 3. Vector spaces and tensor products
  • 4. Exterior differentiation
  • III. Two Klein geometries. 5. Affine Klein geometry
  • 6. Euclidean Klein geometry
  • IV. Cartan connections. 7. Generalized geometry made simple
  • 8. Affine connections
  • 9. Euclidean connections
  • 10. Riemannian spaces and pseudo-spaces
  • V. The future? 11. Extensions of Cartan
  • 12. Understand the past to imagine the future
  • 13. A book of farewells.

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