This is a course in measure theory. The idea of measure is the foundation of a modern understanding of integration and probability, and in this course we build this foundation from the ground up. We'll begin with a simple example of a measure, Lebesgue measure, and work our way up to more sophisticated examples. Some of the major theorems we'll look at include the monotone convergence theorem, the dominated convergence theorem, Fubini's Theorem, and the Radon-Nikodym theorem.
This course is normally taken by all first year graduate students in mathematics, though students from other departments are encouraged to enroll.
An undergraduate course in real analysis, such as Math 204 at Duke.
H. L. Royden, "Real Analysis, Third Edition", Prentice Hall
The course website will use Duke university's Blackboard system. The website is not set up yet, but click here to login to Blackboard.
Return to: Course List * Math Graduate Program * Department of Mathematics * Duke University
Last modified: 27 March 2002