01098nam a2200181 a 4500020001800000020001600018082001600034100002200050245005300072260004400125300001900169490002800188500001000216505046500226520017700691650002800868650002000896 a9780471042228 a0471042226 a515.43bBAR aBartle, Robert G. 4aThe elements of integration and Lebesgue measure aNew York ;aChichester :bWiley, c1966 ax, 179 pages ; aWiley classics library. aIndex a 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. a
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. aIntegrals, Generalized. aMeasure theory.