Measure and integral: an introduction to real analysis/ Richard L. Wheeden [and] Antoni Zygmund.
Material type:
TextSeries: Monographs and textbooks in pure and applied mathematics ; 43.Publication details: New York : M. Dekker, c1977Description: x, 274 p. : ill. ; 24 cmISBN: 0824764994Subject(s): Measure theory | Integrals, GeneralizedDDC classification: 515.42 | Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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General Books
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Central Library, Sikkim University General Book Section | 515.42 WHE/M (Browse shelf(Opens below)) | Available | P22649 |
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| 515.42 OXT/M Measure and category: a survey of the analogies between topological and measure spaces/ | 515.42 TAO/I An introduction to measure theory/ | 515.42 WAL/I An introduction to ergodic theory/ | 515.42 WHE/M Measure and integral: an introduction to real analysis/ | 515.43 ROU/I Improper Riemann integrals/ | 515.43 SOO/L Lebesgue integration // | 515.45 KAN Linear integral equations: Theory & technique/ |
Includes index.
Preliminaries Points and Sets in RnRn as a Metric SpaceOpen and Closed Sets in Rn: Special SetsCompact Sets; The Heine-Borel TheoremFunctionsContinuous Functions and TransformationsThe Riemann IntegralExercises Function of Bounded Variation; The Riemann-Stieltjes Integral Functions of Bounded VariationRectifiable CurvesThe Reiman-Stieltjes IntegralFurther Results About the Reimann-Stieltjes IntegralsExercises Lebesgue Measure and Outer Measure Lebesgue Outer Measures; The Cantor Set. Lebesgue Measurable SetsTwo Properties of Lebesgue MeasureCharacterizations of MeasurabilityLipschitz Transformations of RnA Nonmeasurable Set. ExercisesLebesgue Measurable Functions Elementary Properties of Measurable Functions. Semicontinuous FunctionsProperties of Measurable Functions; Egorov's Theorem and Lusin's TheoremConvergence in MeasureExercisesThe Lebesgue IntegralDefinition of the Integral of a Nonnegative FunctionProperties of the IntegralThe Integral of an Arbitrary Measurable f A Relation Between Riemann-Stieltjes and Lebesgue Integrals; the LP Spaces, 0
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