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ISBN: 1846283698 Year: 2006 Publisher: London : Springer,
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ISBN: 1470417944 Year: 2001 Publisher: Providence, Rhode Island : American Mathematical Society,
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Year: 1952 Publisher: Gaithersburg, MD : U.S. Dept. of Commerce, National Institute of Standards and Technology,
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ISBN: 051156614X Year: 1968 Publisher: Cambridge : Cambridge University Press,
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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.
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ISBN: 8175968605 Year: 2010 Publisher: New Delhi : Foundation Books,
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First Course in Metric Spaces presents a systematic and rigorous treatment of the subject of Metric Spaces which are mathematical objects equipped with the notion of distance. This book is a step towards the preparation for the study of more advanced topics in Analysis such as Topology. The contents are primarily suitable for teaching at the graduate level and serve as a treatise for undergraduate and postgraduate students. The book discusses classification of Metric Spaces using the standard classification notions such as completeness, compactness, and connectedness. The book also contains chapters on limit and continuity of mappings, fixed points and approximations, and a complete ordered field of real numbers obtained from cauchy sequences of rational numbers. Each chapter is interspersed with many examples and exercises.
ISBN: 9780387951041 0387951040 Year: 2001 Publisher: New York (N.Y.): Springer,
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Year: 1971 Publisher: Paris : Hermann,
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Year: 1957 Publisher: Paris : Gauthier-Villars,
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Year: 1971 Publisher: Paris : Dunod,
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ISBN: 9780199563074 9780199563081 Year: 2009 Publisher: Oxford Oxford university press
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