Counterexamples in Analysis - 9780486428758

Counterexamples in Analysis. While most mathematical textbooks are devoted to the proof of true statements, this text focuses on counterexamples for proving statements are false. The 13 chapters cover differentiation, Riemann integration, sequences, infinite series, sets of real numbers, functions of two variables, and metric and topological spaces. Originally published by Holden-Day in 1964. Annotation (c) Book News, Inc., Portland, OR (booknews.com)