Pub. Date:
Cambridge University Press
Metric Spaces

Metric Spaces

by E. T. CopsonE. T. Copson
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Metric space topology, as the generalization to abstract spaces of the theory of sets of points on a line or in a plane, unifies many branches of classical analysis and is necessary introduction to functional analysis. Professor Copson's book, which is based on lectures given to third-year undergraduates at the University of St Andrews, provides a more leisurely treatment of metric spaces than is found in books on functional analysis, which are usually written at graduate student level. His presentation is aimed at the applications of the theory to classical algebra and analysis; in particular, the chapter on contraction mappings shows how it provides proof of many of the existence theorems in classical analysis.

Product Details

ISBN-13: 9780521357326
Publisher: Cambridge University Press
Publication date: 02/11/1988
Series: Cambridge Tracts in Mathematics Series , #57
Edition description: Reprint
Pages: 152
Product dimensions: 5.98(w) x 8.98(h) x 0.35(d)

Table of Contents

Preface; 1. Introduction; 2. Metric spaces; 3. Open and closed sets; 4. Complete metric spaces; 5. Connected sets; 6. Compactness; 7. Functions and mappings; 8. Some applications ; 9. Further developments; Index.

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