MATH 6210: Measure Theory and Lebesgue Integration (Fall 2011)

Instructor: John Smillie

The Riemann integral familiar from undergraduate calculus has poor convergence properties and does not behave well in higher dimensions. A much more convenient and flexible theory of integration, based on the notion of a countably additive measure, was developed by Henri Lebesgue. In this course we develop Lebesgue's theory from the ground up.