Difference between revisions of "MAT5203"
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− | Introduction to Lebesgue measure and integration. | + | Introduction to Lebesgue measure and integration. Sample textbook: Real Analysis by H. L. Royden. |
==Topics List== | ==Topics List== | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
− | ! Week !! Sections from Royden !! | + | ! Week !! Topic !! Sections from Royden !! Prerequisites |
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| 1 | | 1 |
Latest revision as of 14:06, 18 March 2023
Introduction to Lebesgue measure and integration. Sample textbook: Real Analysis by H. L. Royden.
Topics List
Week | Topic | Sections from Royden | Prerequisites |
---|---|---|---|
1 | Review of the field and completeness axions | 1.1-1.3 | Undergraduate real analysis. |
2-3 | Topology of the real line | 1.4-1.6 | |
4-5 | Lebesgue measurable sets | 2.1-2.7 | |
7-9 | Lebesgue measurable sets | 2.1-2.7 | |
10-12 | Lebesgue integration | 4.1-4.6 |