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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 | ||
| Line 10: | Line 10: | ||
|| Undergraduate real analysis. | || Undergraduate real analysis. | ||
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| − | | 2 | + | | 2-3 |
|| [[Topology of the real line]] | || [[Topology of the real line]] | ||
|| 1.4-1.6 | || 1.4-1.6 | ||
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| − | | | + | | 4-5 |
| − | || | + | || [[Lebesgue measurable sets]] |
| − | || | + | || 2.1-2.7 |
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| − | | | + | | 7-9 |
| − | || | + | || [[Lebesgue measurable sets]] |
| − | || | + | || 2.1-2.7 |
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| − | | | + | | 10-12 |
| − | + | || [[Lebesgue integration]] | |
| − | + | || 4.1-4.6 | |
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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 |
