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Item Details
Title: INTRODUCTION TO METRIC AND TOPOLOGICAL SPACES
By: Wilson A. Sutherland
Format: Hardback

List price: £93.00
Our price: £81.38
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ISBN 10: 0199563071
ISBN 13: 9780199563074
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Publisher: OXFORD UNIVERSITY PRESS
Pub. date: 18 June, 2009
Edition: 2nd Revised edition
Pages: 220
Description: This fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness.
Synopsis: One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a trio widely used in the rest of mathematics. Topology also has a more geometric aspect which is familiar in popular expositions of the subject as 'rubber-sheet geometry', with pictures of Mobius bands, doughnuts, Klein bottles and the like;
Illustrations: 56 line illustrations
Publication: UK
Imprint: Oxford University Press
Returns: Returnable
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