Metric Spaces / Edition 1

Metric Spaces / Edition 1

by Micheal O'Searcoid, Micheal C" Searcoid, McHel Searcid
     
 

ISBN-10: 1846283698

ISBN-13: 9781846283697

Pub. Date: 08/10/2006

Publisher: Springer London

The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes

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Overview

The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.

Product Details

ISBN-13:
9781846283697
Publisher:
Springer London
Publication date:
08/10/2006
Series:
Springer Undergraduate Mathematics Series
Edition description:
2007
Pages:
304
Sales rank:
1,448,076
Product dimensions:
0.69(w) x 7.00(h) x 10.00(d)

Table of Contents

To the Reader.- Cumulative Reference Chart.- Metrics.- Distance.- Boundary.- Open, Closed and Dense Sets.- Balls.- Convergence.- Bounds.- Continuity.- Uniform Continuity.- Completeness.- Connectedness.- Compactness.- Equivalence.- Appendices: Language and Logic.- Sets.- Solutions.- List of Symbols.- Index.

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