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Jan 15, 2025
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2014-2016 Undergraduate and Graduate Bulletin (without addenda) [ARCHIVED CATALOG]
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MA-GY 7333 Measure Theory I3 Credits
This course presents a unified treatment of the part of measure theory that is most useful for its application in modern analysis. Topics covered: sets and classes, measures and outer measures, measurable functions, integration, general set functions, product spaces, transformations, probability. The dominated convergence theorem, Riesz Representation Theorem, Vitali-Caratheodory theorem, etc., are covered in conjunction with many examples.
Prerequisite(s): Graduate status.
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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