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Introduction to Metric and Topological Spaces

Introduction to Metric and Topological Spaces (Hardback, 2nd Revised edition)

By Sutherland, Wilson A.

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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 de...scribing 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; this geometric aspect is illustrated by describing some standard surfaces, and it is shown how all this fits into the same story as the more analytic developments. The book is primarily aimed at second- or third-year mathematics students. There are numerous exercises, many of the more challenging ones accompanied by hints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book.
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ISBN 9780199563074
Released NZ 25 Jun 2009
Publisher Oxford University Press (S3)
Format Hardback, 2nd Revised edition
Alternate Format(s) View All (2 other possible title(s) available)
Indent title (internationally sourced), usually ships 4-6 weeks

Full details for this title

ISBN-13 9780199563074
Stock Available
Status Indent title (internationally sourced), usually ships 4-6 weeks
Publisher Oxford University Press (S3)
Imprint Oxford University Press
Released 25 Jun 2009
Publication Country United Kingdom United Kingdom
Format Hardback, 2nd Revised edition
Edition 2nd Revised edition
Author(s) By Sutherland, Wilson A.
Category Mathematics: Real Analysis
Number of Pages 220
Dimensions Width: 151mm
Height: 232mm
Spine: 12mm
Dewey Code 514.3
Weight 455g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Metric spaces, Topological spaces
NBS Text Science & Mathematics: Textbooks & Study Guides
ONIX Text College/higher education