Counterexamples in Analysis it is also one of

it is also one of the most enjoyable

The author draws on a diversity of fields — including science

Reprint of the Holmiæ

Loaded with ideas for birthday cards

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

Counterexamples in Analysis it is also one ofThese 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,