Theory of Functions of a Real Variable
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Overview
Subject area
MAT
Catalog Number
751
Course Title
Theory of Functions of a Real Variable
Department(s)
Description
Real number system, metric and Banach spaces; applications; the Lebesgue integral; measurable sets and functions; Lp spaces and Hilbert spaces; measure spaces and Daniell integral; Riemann-Stieltjes integral; Radon-Nikodym theorem; and Stone-Weierstrass theorem.
Note. A course in Advanced Calculus is required and must be completed before taking this course.
Note. A course in Advanced Calculus is required and must be completed before taking this course.
Typically Offered
Fall, Spring
Academic Career
Graduate
Liberal Arts
Yes
Credits
Minimum Units
4
Maximum Units
4
Academic Progress Units
4
Repeat For Credit
No
Components
Name
Lecture
Hours
4