| Counterexamples in Analysis Contributor(s): Gelbaum, Bernard R. (Author), Olmsted, John M. H. (Author) |
|
 |
ISBN: 0486428753 ISBN-13: 9780486428758 Publisher: Dover Publications OUR PRICE: $18.00 Product Type: Paperback - Other Formats Published: June 2003 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Applied - Mathematics | Mathematical Analysis |
| Dewey: 515 |
| LCCN: 2002041784 |
| Series: Dover Books on Mathematics |
| Physical Information: 0.49" H x 6.38" W x 8.46" (0.56 lbs) 224 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |