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Metric spaces

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

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Metric spaces

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Metric spaces/ E.T. Copson.
作者:	Copson, E. T.
出版者:	Cambridge :Cambridge University Press, : 1968.,
面頁冊數:	143 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	Introduction -- Metric spaces -- Open and closed sets -- Complete metric spaces -- Connected sets -- Compactness -- Functions and mappings -- Some applications -- Further developments.
標題:	Metric spaces. -
電子資源:	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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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.
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