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Counterexamples in Analysis - Softcover

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9780816232147: Counterexamples in Analysis

Synopsis

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 real 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. 12 figures. Bibliography. Index. Errata.

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  • PublisherHolden Day
  • Publication date1964
  • ISBN 10 0816232148
  • ISBN 13 9780816232147
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
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9780486428758: Counterexamples in Analysis (Dover Books on Mathematics)

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ISBN 10:  0486428753 ISBN 13:  9780486428758
Publisher: Dover Publications, 2003
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Gelbaum, Bernard R.
Published by Holden Day, 1964
ISBN 10: 0816232148 ISBN 13: 9780816232147
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Published by Holden-Day, Incorporated, 1964
ISBN 10: 0816232148 ISBN 13: 9780816232147
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Published by Holden-Day, San Francisco, 1964
ISBN 10: 0816232148 ISBN 13: 9780816232147
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Gelbaum, Bernard R.
Published by Holden Day, 1964
ISBN 10: 0816232148 ISBN 13: 9780816232147
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