Analysis, manifolds, and physics /

Guardado en:
Autor Principal: Choquet-Bruhat, Yvonne.
Otros Autores: DeWitt-Morette, Cécile., Dillard-Bleick, Margaret.
Formato: Libro
Idioma:English
Publicado: Amsterdam : North Holland, 1977.
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245 1 0 |a Analysis, manifolds, and physics /  |c Yvonne Choquet-Bruhat, Cécile DeWitt-Morette, and Margaret Dillard-Bleick. 
260 |a Amsterdam :  |b North Holland,  |c 1977. 
300 |a xvii, 544 p. :  |b il. ;  |c 25 cm. 
504 |a Bibliografía: p. 521-526. 
510 4 |a MR,  |c 57 #7631 
505 0 |a 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). 
500 |a Véase también: Analysis, manifolds, and physics. Part II: 92 applications. 
020 |a 0720404940 
100 1 |a Choquet-Bruhat, Yvonne. 
700 1 |a DeWitt-Morette, Cécile. 
700 1 |a Dillard-Bleick, Margaret. 
700 1 |a Choquet-Bruhat, Yvonne.  |t Analysis, manifolds, and physics.  |n Part II :  |p 92 applications. 
650 0 |a Manifolds (Mathematics) 
650 0 |a Mathematical physics. 
084 |a 58-01 (35-01 46-01)  |2 msc2000 
010 |a  76014454  
040 |a DLC  |c DLC  |d DLC 
859 |h 58  |i C549  |p A-5170  |b BIB. MATEMATICA