Mathematics 241: Real Analysis I (Fall 2005)
Description
This will be a course in measure theory and Lebesgue integration, including the measure theory
approach to probability. We also include a brief treatment of
Fourier series and transforms. This is a standard beginning course for graduate students
in mathematics but may also be of use for students in other fields.
Instructor
J. Thomas Beale
Schedule
MWF 10:20--11:10, 218 Physics Bldg.
Prerequisites
The main prerequisite is a rigorous undergraduate course
in real analysis. In particular, most of Chapter 2 of
Royden's book (see below) should be familiar to you.
Text(s)
-
The text is not definite yet, but it is likely to be Real Analysis (3rd ed.)
by H. L. Royden. After a brief treatment of Chs. 1--2, we will cover
Chs. 3--6, 11, and part of 12. We will use supplementary notes for
probability and for Fourier series and transforms.
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