Format:
1 Online-Ressource (143 pages)
,
digital, PDF file(s).
ISBN:
9780511566141
Series Statement:
Cambridge tracts in mathematics 57
Content:
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.
Content:
Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521357326
Additional Edition:
ISBN 9780521047227
Additional Edition:
ISBN 9780521047227
Additional Edition:
ISBN 9780521357326
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521047227
Language:
English
DOI:
10.1017/CBO9780511566141
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