The previous lecture in this series is here. The next lecture in this series is here.
We define simple functions: the basic building blocks for the Lebesgue integral. We then prove some basic properties of the Lebesgue integral for simple functions, which we use next time to extend integration to certain measurable functions.
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.