Counterexamples in Analysis - Bernard R. Gelbaum

Counterexamples in Analysis by Bernard R. Gelbaum and John M. H. Olmsted brings together a carefully graded selection of counterexamples from real-variable analysis, beginning at calculus level. This paperback reprints the 1962 Holden-Day, Inc. (San Francisco) edition.

Key details

• Paperback format
• 224 pages
• By Bernard R. Gelbaum and John M. H. Olmsted
• Published by Dover Publications Inc
• Publication date: 12 May 2003
• ISBN: 9780486428758

Synopsis

Arranged by increasing difficulty and sophistication, the counterexamples concentrate on real-variable analysis, starting from calculus. The opening half addresses functions of a real variable, covering the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis.

The later chapters move into higher dimensions, considering functions of two variables, plane sets and area, metric and topological spaces, and function spaces. The volume includes 12 figures, a bibliography, an index, and errata, and is presented as a reprint of the original 1962 edition; it is positioned as suitable for students before completing a first calculus course, as well as more advanced and graduate readers.

Rackhams Reference : 7Q4GRUW4HC