• Counterexamples in analysis.
  • Counterexamples in Analysis - Google Books
  • Review: Counterexamples in Analysis User Review - Goodreads
  • The Counterexamples in Functional Analysis Home Page

Counterexamples in Analysis (Dover Books on Mathematics)


The books "Counterexamples in Topology" by Steen and Seebach as well as "Counterexamples in Analysis" by Gelbaum and Olmstead have some that are surprising when you first see them.

When I was a graduate student in mathematics, "Counterexamples in Analysis" was my favorite book, and I had a lot of fun amazing my fellow students by quoting from it. Since then, however, I have swung around more to the viewpoint of Poincare and Feynman: "Logic sometimes makes monsters." From either viewpoint, however, the counterexamples are immensely entertaining.


Counterexamples in Analysis: Index