Counterexamples in Analysis (Dover Books on Mathematics) - Softcover

Book 111 of 302: Dover Books on Mathematics

B. R. Gelbaum; J. M. H. Olmsted

 
9780486428758: Counterexamples in Analysis (Dover Books on Mathematics)

Synopsis

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.

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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 Hol

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Other Popular Editions of the Same Title

9781114744684: Counterexamples in Analysis

Featured Edition

ISBN 10:  1114744689 ISBN 13:  9781114744684
Publisher: Holden-Day, 1964
Hardcover