Counterexamples in Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Counterexamples in Analysis by Bernard R. Gelbaum, John M. H. Olmsted, Dover Publications
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Bernard R. Gelbaum, John M. H. Olmsted ISBN: 9780486134918
Publisher: Dover Publications Publication: July 12, 2012
Imprint: Dover Publications Language: English
Author: Bernard R. Gelbaum, John M. H. Olmsted
ISBN: 9780486134918
Publisher: Dover Publications
Publication: July 12, 2012
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Dover Publications

Cover of the book Variational Analysis by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Three Orchestral Works in Full Score by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Happy New Year! and Other Stories by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book American Art Deco by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Essays on Immigration by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Introduction to Superconductivity by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Sylvie and Bruno by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Favorite Tales from the Arabian Nights' Entertainments by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book A Buddhist Reader by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Sieve Methods by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Camping and Tramping with Roosevelt by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Thermodynamics by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book Fourier Analysis on Groups by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book College Geometry by Bernard R. Gelbaum, John M. H. Olmsted
Cover of the book You Can Draw Cats by Bernard R. Gelbaum, John M. H. Olmsted
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy