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Metric Spaces : Cambridge Tracts in Mathematics (Paperback) - E. T. Copson

Metric Spaces

Cambridge Tracts in Mathematics (Paperback)

Paperback

Published: 11th April 1988
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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.

Preface
Introduction
Metric spaces
Open and closed sets
Complete metric spaces
Connected sets
Compactness
Functions and mappings
Some applications
Further developments
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521357326
ISBN-10: 0521357322
Series: Cambridge Tracts in Mathematics (Paperback)
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 152
Published: 11th April 1988
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 21.59 x 13.97  x 0.89
Weight (kg): 0.2