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Counterexamples in Analysis






Pub Date: 
Publisher:  Dover Pubns
Summary: These 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 rea...l axis. The second half, encompassing higher dimensions, examines functions of two variables, plane sets, area, metric and topological spaces, and function spaces. This volume contains much that will prove suitable for students who have not yet completed a first course in calculus, and ample material of interest to more advanced students of analysis as well as graduate students. 1962 edition. 12 figures. Bibliography. Index. Errata.

Gelbaum, Bernard R. is the author of Counterexamples in Analysis, published 2003 under ISBN 9780486428758 and 0486428753. One hundred sixteen Counterexamples in Analysis textbooks are available for sale on ValoreBooks.com, fifty six used from the cheapest price of $12.65, or buy new starting at $12.65.
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Counterexamples in Analysis

ISBN-13: 9780486428758

ISBN: 0486428753

Pub Date:
Publisher: Dover Pubns
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