Abstract
THE ELEMENTS OF INTEGRATION. Measurable Functions. Measures. The Integral. Integrable Functions. The Lebesgue Spaces L p . 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.
Keywords
Measure (data warehouse)Lebesgue measureMathematicsLebesgue integrationCalculus (dental)Computer sciencePure mathematicsMedicineData mining
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Publication Info
- Year
- 1996
- Type
- article
- Volume
- 45
- Issue
- 4
- Pages
- 528-528
- Citations
- 258
- Access
- Closed
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Cite This
L. A. Baxter,
Robert G. Bartle
(1996).
The Elements of Integration and Lebesgue Measure..
Journal of the Royal Statistical Society Series D (The Statistician)
, 45
(4)
, 528-528.
https://doi.org/10.2307/2988552
Identifiers
- DOI
- 10.2307/2988552