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Bartle, Robert G.
The elements of integration and Lebesgue measure
New York ;
Chichester :
Wiley,
1966
x, 179 pages ;
Wiley classics library.
Index
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.
Integrals, Generalized.
Measure theory.
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