Metric spaces / E.T. Copson.

Copson, E. T. (Edward Thomas), 1901-1980
Call Number
513/.83
Author
Copson, E. T. 1901-1980, author.
Title
Metric spaces / E.T. Copson.
Physical Description
1 online resource (143 pages) : digital, PDF file(s).
Series
Cambridge tracts in mathematics ; 57
Notes
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents
Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments.
Summary
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.
Subject
METRIC SPACES.
Multimedia
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Summary
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.
Notes
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents
Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments.
Subject
METRIC SPACES.
Multimedia