MATH 6210: Measure Theory and Lebesgue Integration (Fall 2010)

Instructor: Lars Wahlbin

We shall cover sigma-algebras, measurable sets and functions, measures, integrals and L-p spaces. Then, modes of convergence, and decomposition and generation of measures.

If time permits, we shall also study the Lebesque measure and integral on R^n and their special properties.

The textbook is Robert G. Bartle, The Elements of Integration and Lebesgue Measure, Wiley Classics Library, ISBN 0-471-04222-6.