Topology for Analysis - Paperback
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Availability:In StockContributor:Albert WilanskySeries:Dover Books on MathematicsPublish date:2008-10-17Pages:398
Languages:EnglishPublisher:Dover PublicationsISBN-13:9780486469034ISBN-10:486469034UPC:9780486469034Book Category:MathematicsBook Subcategory:TopologySize:9.18 x 6.24 x 0.76 inchesWeight:1.1001Product ID:SCKMNTDT2Z
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.
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.
Languages:EnglishPublisher:Dover PublicationsISBN-13:9780486469034ISBN-10:486469034UPC:9780486469034Book Category:MathematicsBook Subcategory:TopologySize:9.18 x 6.24 x 0.76 inchesWeight:1.1001Product ID:SCKMNTDT2Z
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