Real Analysis

Real analysis is the modern generalization of differential and integral calculus. This tag contains posts on calculus, measure theory, geometry and topology of Euclidean spaces.

The Kempner series recently regained some notoriety due to a Saturday Morning Breakfast Cereal comic (the last panel). The observation …
Last updated on 3 min read expository

A converse to Banach's fixed point theorem, due to Bessaga, is discussed.
Last updated on 5 min read expository

Expository note on the Runge phenomenon
Last updated on 1 min read expository

We describe a theorem due to Mihai Mariş concerning the symmetries of ground states.
Last updated on 13 min read expository