Math 7312, Spring 2002

Math 7312, Spring 2002

Ambar Sengupta, Office: Lockett 324, Phone: 578-1607



Class will meet Lockett 111, MWF 2:40pm-3:30pm

Office hours: By appointment.

Schedule of Topics.

Sample Homework 1.

A brief bibliography.


The course will focus on measure theory and integration. The goal is to learn some must-know machinery for real analysis. Topics will include abstract measure and integration, convergence theorems for integration, Fubini's theorem, the Radon-Nikodym theorem, construction of Lebesgue measure, Riesz representation theorem, and duals of certain function spaces. Other topics may include complex measures, Hilbert and Banach spaces, and Fourier transforms.

Rudin's Real and Complex Analysis will be a useful reference. Extensive notes will be posted.