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Counterexamples in Analysis
Contributor(s): Gelbaum, Bernard R. (Author), Olmsted, John M. H. (Author)

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 ISBN: 0486428753     ISBN-13: 9780486428758
Publisher: Dover Publications
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Binding Type: Paperback - See All Available Formats & Editions
Published: June 2003
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Annotation: 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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Additional Information
BISAC Categories:
- Mathematics | Calculus
- Mathematics | Applied
- Mathematics | Mathematical Analysis
Dewey: 515
LCCN: 2002041784
Series: Dover Books on Mathematics
Physical Information: 0.49" H x 6.38" W x 8.46" L (0.56 lbs) 224 pages
Features: Bibliography, Illustrated, Index, Price on Product, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:
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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