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Dover Books on Mathematics Ser.: Counterexamples in Analysis by John M. H. Olmsted and Bernard R. Gelbaum (2003, Trade Paperback)
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Counterexamples in Analysis, Paperback by Gelbaum, Bernard R.; Olmsted, John M. H., ISBN 0486428753, ISBN-13 9780486428758, Brand New, Free shipping in the US 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 (c) Book News, Inc., Portland, OR ()
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About this product
Product Identifiers
PublisherDover Publications, Incorporated
ISBN-100486428753
ISBN-139780486428758
eBay Product ID (ePID)2502310
Product Key Features
Number of Pages224 Pages
LanguageEnglish
Publication NameCounterexamples in Analysis
Publication Year2003
SubjectMathematical Analysis
TypeTextbook
Subject AreaMathematics
AuthorJohn M. H. Olmsted, Bernard R. Gelbaum
SeriesDover Books on Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Height0.5 in
Item Weight9.4 Oz
Item Length8.5 in
Item Width6.4 in
Additional Product Features
Intended AudienceCollege Audience
LCCN2002-041784
Dewey Edition21
IllustratedYes
Dewey Decimal517.5
Table Of Content1. The Real Number System. 2. Functions and Limits. 3. Differentiation. 4. Riemann Integration. 5. Sequences. 6. Infinite Series. 7. Uniform Convergence. 8. Sets and Measure on the Real Axis. 9. Functions of Two Variables. 10. Plane Sets. 11. Area. 12. Metric and Topological Spaces. 13. Function Spaces. Bibliography. Special Symbols. Index.
SynopsisThese 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., 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., These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
LC Classification NumberQA300.G4 2
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