Counterexamples in Analysis

Bernard R. Gelbaum, John M. H. Olmsted (Autoren)

Buch | Softcover

224 Seiten

2003
Dover Publications Inc. (Verlag)
9780486428758 (ISBN)

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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.

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.

Reprint of the Holden-Day, Inc., San Francisco, 1962 edition.

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.

Erscheint lt. Verlag	12.5.2003
Sprache	englisch
Maße	162 x 215 mm
Gewicht	270 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-13	9780486428758 / 9780486428758
Zustand	Neuware