integration

A fundamental result in measure theory is Egorov's Theorem, which says that if a sequence of measurable functions converge point-wise, …
Last updated on 11 min read mathematical diversions

This post concerns the second mean value theorem for definite integrals. Theorem    [Second MVT for Integrals] Let $w$ be a …
Last updated on 4 min read expository

Since I am preparing to teach intro real analysis this fall, it is a good time for me to get reacquainted with Riemann integration and …
Last updated on 8 min read expository