The previous lecture in this series is here. The next lecture in this series is here.
Now that we know what the Lebesgue measure is, we begin exploring Lebesgue measurable functions and properties thereof. This allows us to define the notion of “almost everywhere”, a ubiquitous concept in integration.
These videos are of a lecture course by Casey Rodriguez at the Massachusetts Institute of Technology in 2021, and made available as part of its OpenCourseWare initiative.