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MATH 714

Abstract and Real Analysis

Catalog2026-2027
Credits3 units
LevelGraduate
Standard

Overview

Description

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

Lecture3

Catalog Details

Offering

Offered: Every Spring - Odd Years

Terms

spring

Attributes

Standard

Learning Outcomes

  • demonstrate understanding of advanced topics in measure theory.
  • demonstrate understanding of advanced topics in modern integration.
  • demonstrate understanding of the relation between integration and differentiation.