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

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Spring - Odd Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate understanding of advanced topics in measure theory.
2. demonstrate understanding of advanced topics in modern integration.
3. demonstrate understanding of the relation between integration and differentiation.

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