The Elements of Integration and Lebesgue Measure 0471042226, 9781118164488, 1118164482, 9781283273947, 1283273942

The Elements of Integration and Lebesgue Measure; Contents; The Elements of Integration; 1. Introduction; 2. Measurable

491 48 2MB

English Pages 194 pages Year 2011;2013

The Elements of Integration and Lebesgue Measure
0471042226, 9781118164488, 1118164482, 9781283273947, 1283273942

Author / Uploaded
Bartle
Robert G

Table of contents :
The Elements of Integration and Lebesgue Measure
Contents
The Elements of Integration
1. Introduction
2. Measurable Functions
3. Measures
4. The Integral
5. Integrable Functions
6. The Lebesgue Spaces Lp
7. Modes of Convergence
8. Decomposition of Measures
9. Generation of Measures
10. Product Measures
The Elements of Lebesgue Measure
11. Volumes of Cells and Intervals
12. The Outer Measure
13. Measurable Sets
14. Examples of Measurable Sets
15. Approximation of Measurable Sets
16. Additivity and Nonadditivity
17. Nonmeasurable and Non-Borel Sets
References
Index.

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