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Mathematical Analysis - General & Miscellaneous
Counterexamples in Analysis by Bernard R. Gelbaum β€” book cover

Counterexamples in Analysis

by Bernard R. Gelbaum, John M. H. Olmsted
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Overview

These counterexamples deal mostly with the part of analysis known as "real variables." The 1st half of the book discusses the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, more. The 2nd half examines functions of 2 variables, plane sets, area, metric and topological spaces, and function spaces. 1962 edition. Includes 12 figures.

Synopsis

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 ©2003 Book News, Inc., Portland, OR

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Book Details

Published
June 1, 2003
Publisher
Dover Publications
Pages
218
Format
Paperback
ISBN
9780486428758

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