Metric Spaces (Cambridge Tracts in Mathematics, Series Number 57)

Copson, E. T.

ISBN 10: 0521357322 ISBN 13: 9780521357326
Edité par Cambridge University Press, 1988
Ancien(s) ou d'occasion paperback

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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.

Présentation de l'éditeur: 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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Détails bibliographiques

Titre : Metric Spaces (Cambridge Tracts in ...
Éditeur : Cambridge University Press
Date d'édition : 1988
Reliure : paperback
Etat : Very Good

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