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Introductory real analysis / A. N. Kolmogorov, S. V. Fomin ; Tr. Richard A. Silverman

By: Galindo Lavao, Diana Paola [autor].
Contributor(s): Fomin, S. V | Silverman, Richard A [ revised english edition translated and edited].
New York : Dover, 1970Description: 403 paginas. ; 22 cm.Subject(s): MatematicasDDC classification: 515.1 /
Contents:
List(s) this item appears in: Matemática aplicada | Matemáticas | Matemáticas actualizado | Bib. Programa Matemáticas
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General 515.1 / K81i (Browse shelf) 8001 1 Available 8010005275
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Set theory -- Set and functions -- Equivalence pf sets. The power of a set -- Ordered sets and ordinal numbers -- Metric spaces -- Basic concepts -- Convergence. Open and closed sets -- Complete metric spaces --Contraction mappings -- Topological spaces -- Basic concepts -- Compactness -- Compactness in metric spaces --Real functions on metric and topological spaces -- Linear spaces -- Basic concepts -- Convex sets and functional. The Hahn-Banach teorem -- Normed linear spaces -- Euclidean spaces -- Linear functionals --Continuous linear functionals -- The conjugate space -- Linear operators -- Inverse and adjoint operartor --Completely continuous operators -- Measure -- Measure in the plane -- General measure theory -- Integration --Measurable functions -- The lebesgue integral -- Differentiation -- Differentiation of the indefinite lebesgue integral -- Functions of Bounded variation -- More on integration -- Product measures. fubini´s theorem --

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