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Analysis. II

Por: Tipo de material: TextoTextoIdioma: ing Detalles de publicación: Massachusetts: Addison-Wesley Publishing Company, Inc, 1969.Edición: Primera EdiciónDescripción: 476 páginas. ejercicios. 23 cmsTema(s): Clasificación CDD:
  • 21 515.13 L269
Contenidos:
Part One General topology. Sets. Topological spaces. Continuous functions on compact sets. Part TwoBanach spaces and calculus. Banach spaces. Differential calculus. Inverse mappings and differential equations. Part three. Funtional analysis. Hilbert space. The open mapping theorem, factor spaces, and duality. Compact and fredholm operators. Part four. Integration in measured spaces. The general integral. Duality and representation theorems. Part five. Integration on locally compact and euclidean spaces. Integration and measures on locally compact spaces. Integration on locally compact groups. The fourier integral and convolutions. Distributions. Part. six. Global analysis. Local integration of differential forms. Manifolds. Integration and measures on manifolds.
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Part One General topology. Sets. Topological spaces. Continuous functions on compact sets. Part TwoBanach spaces and calculus. Banach spaces. Differential calculus. Inverse mappings and differential equations. Part three. Funtional analysis. Hilbert space. The open mapping theorem, factor spaces, and duality. Compact and fredholm operators. Part four. Integration in measured spaces. The general integral. Duality and representation theorems. Part five. Integration on locally compact and euclidean spaces. Integration and measures on locally compact spaces. Integration on locally compact groups. The fourier integral and convolutions. Distributions. Part. six. Global analysis. Local integration of differential forms. Manifolds. Integration and measures on manifolds.

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