Posamentier Alfred S., Lehmann Ingmar. Magnificent mistakes in mathematics

Prometheus Books, 2013. — 296 p.
Objective of this book is to entertain the reader with a collection of wrong conclusions—or fallacies—that help us to better understand important aspects of or concepts in mathematics. It is through these “mistakes” that we should get a much better insight of and appreciation for of the subject matter. Some “mistakes” can lead to very interesting mathematical ideas. For this reason, we have deemed them “magnificent mistakes.”
But rest assured that no special mathematical skills are needed to explore with us these fascinating mistakes. We expect the reader to know high-school mathematics and nothing necessarily beyond that.