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Metric spaces

Copson, E. T. (1901-1980.)

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Metric spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Metric spaces/ E.T. Copson.
Author:	Copson, E. T.
Published:	Cambridge :Cambridge University Press, : 1968.,
Description:	143 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments.
Subject:	Metric spaces. -
Online resource:	https://doi.org/10.1017/CBO9780511566141
ISBN:	9780511566141

Metric spaces
Copson, E. T.1901-1980.

Metric spaces[electronic resource] /E.T. Copson. - Cambridge :Cambridge University Press,1968. - 143 p. :ill., digital ;24 cm. - Cambridge tracts in mathematics ;57. - Cambridge tracts in mathematics ;57..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments.

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.

ISBN: 9780511566141Subjects--Topical Terms:

546825
Metric spaces.

LC Class. No.: QA613 / .C6 1968

Dewey Class. No.: 513.83

Metric spaces
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020 $a 9780521357326 $q (paperback)
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100 1 $a Copson, E. T. $q (Edward Thomas), $d 1901-1980. $3 3470584
245 1 0 $a Metric spaces $h [electronic resource] / $c E.T. Copson.
260 $a Cambridge : $b Cambridge University Press, $c 1968.
300 $a 143 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge tracts in mathematics ; $v 57
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments.
520 $a 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.
650 0 $a Metric spaces. $3 546825
830 0 $a Cambridge tracts in mathematics ; $v 57. $3 3470660
856 4 0 $u https://doi.org/10.1017/CBO9780511566141