Counterexamples in Analysis and the gap between its

and the gap between its first appearance in 1957 and Introduction to Projective Geometry in 2008 may be the longest period of time between the publication of two books by the same author in the history of the Dover mathematics program

Reprint of the Holmiæ

The author draws on a diversity of fields — including science

but it may be omitted by lay readers without diminishing the book's challenge or detracting from the pleasure-giving nuggets it contains

books on totem animals

Counterexamples in Analysis and the gap between itsThese counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as "real variables," starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis. The second half,