Difference between revisions of "MAT5213"
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|| [[Abstract integration]] | || [[Abstract integration]] | ||
|| Chapter 1 | || Chapter 1 | ||
| − | || Real Analysis I | + | || Real Analysis I |
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| 2-3 | | 2-3 | ||
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| 10-12 | | 10-12 | ||
| − | || [[Complex measures] | + | || [[Complex measures]] |
|| Chapter 5 | || Chapter 5 | ||
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| 13-14 | | 13-14 | ||
|| [[The Radon-Nikodym theorem and its consequences]] | || [[The Radon-Nikodym theorem and its consequences]] | ||
| − | || Chapter | + | || Chapter 6 |
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| 15-16 | | 15-16 | ||
|| [[Product spaces and Fubini's theorem]] | || [[Product spaces and Fubini's theorem]] | ||
| − | || Chapter | + | || Chapter 7 |
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Latest revision as of 21:06, 18 March 2023
Introduction to abstract measure theory and integration.
Topics List
| Week | Topic | Sections from Rudin's Real and Complex Analysis | Prerequisites |
|---|---|---|---|
| 1 | Abstract integration | Chapter 1 | Real Analysis I |
| 2-3 | Positive Borel measures | Chapter 2 | |
| 4-5 | Lp spaces | Chapter 3 | |
| 7-9 | Hilbert spaces | Chapter 4 | |
| 10-12 | Complex measures | Chapter 5 | |
| 13-14 | The Radon-Nikodym theorem and its consequences | Chapter 6 | |
| 15-16 | Product spaces and Fubini's theorem | Chapter 7 |
