The elements of integration and Lebesgue measureMaterial type: TextSeries: Wiley classics libraryPublication details: New York ; Chichester : Wiley, 1966Description: x, 179 pagesISBN: 9780471042228; 0471042226 Subject(s): Integrals, Generalized | Measure theoryDDC classification: 515.43
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THE ELEMENTS OF INTEGRATION. Measurable Functions. Measures. The Integral. Integrable Functions. The Lebesgue Spaces Lp. Modes of Convergence. Decomposition of Measures. Generation of Measures. Product Measures. THE ELEMENTS OF LEBESGUE MEASURE. Volumes of Cells and Intervals. The Outer Measure. Measurable Sets. Examples of Measurable Sets. Approximation of Measurable Sets. Additivity and Nonadditivity. Nonmeasurable and Non-Borel Sets. References. Index.
Consists of two separate but closely related parts. Originally published in 1966, the first section deals with elements of integration and has been updated and corrected.