Albert Wilansky

Topology for Analysis (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 400
• Erscheinungstermin: 18. Januar 2013
• Englisch
• ISBN-13: 9780486150758
• Artikelnr.: 39547067

Autorenporträt

Albert Wilansky is Professor Emeritus of Mathematics at Lehigh University.

Inhaltsangabe

Introduction Topological Space Convergence Separation Axioms Topological Concepts Sup
Weak
Product
and Quotient Topologies Compactness Compactification Complete Semimetric Space Metrization Uniformity Topological Groups Function Spaces Miscellaneous Topics Appendix
Tables of Theorems and Counterexamples Bibliography Index