Counterexamples in Analysis

"Bernard R. And O""", John M. H. Olmsted

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English

Dover
04 June 2003

Mathematics & Sciences; Mathematics

Series: Dover Books on Mathema 1.4tics

"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.

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."

By: "Bernard R. And O""", John M. H. Olmsted
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 215mm, Width: 142mm, Spine: 17mm
Weight: 270g
ISBN: 9780486428758
ISBN 10: 0486428753
Series: Dover Books on Mathema 1.4tics
Pages: 218
Publication Date: 04 June 2003
Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , A / AS level , Undergraduate
Format: Paperback
Publisher's Status: Unspecified

1. 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.