Analysis, manifolds, and physics /
Guardado en:
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| Otros Autores: | , |
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Amsterdam :
North Holland,
1977.
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| Materias: | |
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Tabla de Contenidos:
- I. Review of fundamental notions of analysis (A: Set theory, definitions; B: Algebraic structures, definitions; C: Topology; D: Integration; E: Key theorems in linear functional analysis)
- II. Differential calculus on Banach spaces (A: Foundations; B: Calculus of variations; C: Implicit function theorem; inverse function theorem; D: Differential equations)
- III. Differentiable manifolds, finite-dimensional case (A: Definitions; B: Vector fields; tensor fields; C: Groups of transformations; D: Lie groups)
- IV. Integration on manifolds (A: Exterior differential forms; B: Integration; C: Exterior differential systems)
- V. Riemannian manifolds (A: The Riemannian structure; B: Connections; C: Geodesics)
- VI. Distributions (A: Test functions; B: Distributions; C: Sobolev spaces and partial differential equations)
- VII. Differentiable manifolds, infinite-dimensional case (A: Infinite-dimensional manifolds; B: Theory of degree; Leray-Schauder theory; C: Morse theory; D: Cylindrical measures, Wiener integral).