Topology for Analysis

Nonfiction, Science & Nature, Mathematics, Topology
Cover of the book Topology for Analysis by Albert Wilansky, Dover Publications
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Author: Albert Wilansky ISBN: 9780486150758
Publisher: Dover Publications Publication: January 18, 2013
Imprint: Dover Publications Language: English
Author: Albert Wilansky
ISBN: 9780486150758
Publisher: Dover Publications
Publication: January 18, 2013
Imprint: Dover Publications
Language: English
Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference.
From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations of sup and weak topologies, products and quotients, compactness and compactification, and complete semimetric space. The concluding chapters explore metrization, topological groups, and function spaces. Each subject area is supplemented with examples, problems, and exercises that progress to increasingly rigorous levels. All examples and problems are classified as essential, optional, and advanced.
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Appropriate for both students and professionals, this volume starts with the first principles of topology and advances to general analysis. Three levels of examples and problems, ordered and numbered by degree of difficulty, illustrate important concepts. A 40-page appendix, featuring tables of theorems and counter examples, provides a valuable reference.
From explorations of topological space, convergence, and separation axioms, the text proceeds to considerations of sup and weak topologies, products and quotients, compactness and compactification, and complete semimetric space. The concluding chapters explore metrization, topological groups, and function spaces. Each subject area is supplemented with examples, problems, and exercises that progress to increasingly rigorous levels. All examples and problems are classified as essential, optional, and advanced.

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