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Choquet-Bruhat, Yvonne.
Analysis, manifolds, and physics / Yvonne Choquet-Bruhat, Cécile DeWitt-Morette, and Margaret Dillard-Bleick.
— Amsterdam : North Holland, 1977. xvii, 544 p. : il. ; 25 cm.
Véase también: Analysis, manifolds, and physics. Part II: 92 applications.
Bibliografía: p. 521-526.
Contenido: 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).
ISBN 0720404940
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