Counterexamples in Analysis - Brossura

Gelbaum, Bernard R.; Olmsted, John M. H.

Brossura

ISBN 10: 0486428753 ISBN 13: 9780486428758

Casa editrice: Dover Pubns, 2003

Riassunto

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.

Su questo libro

Contenuti:

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.

Product Description:

Book by Bernard R Gelbaum John M H Olmsted

Su questa edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• ISBN 10: 0486428753
• ISBN 13: 9780486428758
• Rilegatura: Copertina flessibile
• Numero di pagine: 195