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ISBN 10: 0821808451
ISBN 13: 978-0821808450
Author: Robert Gardner Bartle
This solutions manual is geared toward instructors for use as a companion volume to the book, A Modern Theory of Integration (AMS Graduate Studies in Mathematics series, Volume 32).
Part 1 Integration on Compact Intervals
1. Gauges and Integrals
2. Some Examples
3. Basic Properties of the Integral
4. The Fundamental Theorems of Calculus
5. The Saks-Henstock Lemma
6. Measurable Functions
7. Absolute Integrability
8. Convergence Theorems
9. Integrability and Mean Convergence
10. Measure, Measurability, and Multipliers
11. Modes of Convergence
12. Applications to Calculus
13. Substitution Theorems
14. Absolute Continuity
Part 2 Integration on Infinite Intervals
15. Introduction to Part 2
16. Infinite Intervals
17. Further Re-examination
18. Measurable Sets
19. Measurable Functions
20. Sequences of Functions
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Tags: Robert Gardner Bartle, Solutions Manual, Modern Theory, Integration