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Nov 15, 2024
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MATH 714 - Abstract and Real Analysis (3 units)
Metric spaces, abstract measures, measurable functions, integration, product measures, Fubini Theorem, topological measures, Haar measure, differentiation, Radon-Nikodym Theorem, linear spaces, Hahn-Banach Theorem, Riez Representation
Units of Lecture: 3
Offered: Every Spring - Odd Years
Student Learning Outcomes:
Upon completion of this course:
1. Students will be able to demonstrate understanding of advanced topics in measure theory.
2. Students will be able to demonstrate understanding of advanced topics in modern integration.
3. Students will be able to demonstrate understanding of the relation between integration and differentiation.
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