MATH 6210 - Measure Theory and Lebesgue Integration

Reyer Sjamaar, fall 2015.

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. The textbook is R. Bartle, The elements of integration and Lebesgue measure.