Topology for Analysis

Author:   Albert Wilansky ,  Siddhartha Sen
Publisher:   Dover Publications Inc.
ISBN:  

9780486469034


Pages:   383
Publication Date:   30 January 2009
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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Topology for Analysis


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Overview

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.

Full Product Details

Author:   Albert Wilansky ,  Siddhartha Sen
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 15.40cm , Height: 1.80cm , Length: 23.20cm
Weight:   0.514kg
ISBN:  

9780486469034


ISBN 10:   0486469034
Pages:   383
Publication Date:   30 January 2009
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

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Albert Wilansky is Professor Emeritus of Mathematics at Lehigh University.

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