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An Introduction to Differential Manifolds

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lafontaine, Jacques (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Differential Calculus
  • Manifolds: The Basics
  • From Local to Global
  • Lie Groups
  • Differential Forms
  • Integration and Applications
  • Cohomology and Degree Theory
  • Euler-Poincaré and Gauss-Bonnet.