Topology For Analysis

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    Topology for Analysis
    By: Albert Wilansky
    Publisher:
    Dover Publications
    Print ISBN: 9780486469034, 0486469034
    eText ISBN: 9780486150758, 0486150755
    Pages: 400
    Format: EPUB
    Available from $ 22.95 USD
    SKU 9780486150758
    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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