Counterexamples in Analysis The author draws on a

The author draws on a diversity of fields — including science

it is also one of the most enjoyable

Loaded with ideas for birthday cards

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

Counterexamples in Analysis The author draws on aThese 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,