Real Analysis I

MAT 707, Section 1

Welcome to the course homepage for Real Analysis I (MAT 707), section 1, Fall, 2002. If you are a student in this class you should check this site frequently for new information.

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I will be provding notes for this class. Initial versions will be handed out in class; corrected versions will be made available on the web if needed.

I will be assuming that you have a graduate level Real Analysis text as a reference, but I do not care which one. Any text which covers Lebesgue integration on general measure spaces (as opposed to just on the real line) and covers L^p spaces and Hilbert spaces should serve as a reference for both semesters of the graduate level Real Analysis course.

Texts which would be suitable include (in no particular order):

• Rudin, Real and Complex Analysis
• Royden, Real Analysis
• Folland, Real Analysis
• Lang, Real and Functional Analysis

I will be using Folland's text as my primary reference for preparing the course, but it is very dense and terse. It makes an excellent reference to the subject, but less suitable as an introduction for students new to the subject.