Galindo Lavao, Diana Paola,
Introductory real analysis / A. N. Kolmogorov, S. V. Fomin ; Tr. Richard A. Silverman - 403 paginas. ; 22 cm.
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 --
Matematicas
515.1 / / K81i
Introductory real analysis / A. N. Kolmogorov, S. V. Fomin ; Tr. Richard A. Silverman - 403 paginas. ; 22 cm.
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 --
Matematicas
515.1 / / K81i