L?rebok/Text book:
The Elements of Integration and Lebesgue Measure, Robert G. Bartle, Wiley Classics Library, ISBN 0-471-04222-6
Pensum/Syllabus:
1. Introduction (page 5 only)
2. Measurable Functions
3. Measures
4. The Integral
5. Integrable Functions
6. The Lebesgue Spaces Lp (not the proofs of Thm.6.14 and 6.16)
7. Modes of Convergence: 7.1-7.4
8. Decomposition of Measures (not the proofs of Thm. 8.9, 8.14, 8.15)
9. Generation of Measures (not the proof of Thm. 9.9)
10. Product measures