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ISBN 10: 0486428753
ISBN 13: 9780486428758
Author: Bernard R. Gelbaum, John M. H. Olmsted
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.
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.
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Tags: Bernard Gelbaum, John Olmsted, Counterexamples, Dover
