Introduction to Metric and Topological Spaces - Hardcover
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 Möbius 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.
"synopsis" may belong to another edition of this title.
About the Author
Wilson A Sutherland was for many years a lecturer in mathematics in the University of Oxford, and a mathematics tutor at New College, Oxford. He has also taught at Massachusetts Institute of Technology and the University of Manchester, and, as a visiting professor, at Yale University and the University of Aberdeen.
Review
Review from previous edition: "This is a well written and to be recommended text... The book contains an excellent collection of exercises together with a guide to help the reader through these problems." --Bulletin of the IMA
"...a carefully written introduction... a good, informative, well organized book..." --Jahresbericht der Deutschen Mathematiker-Vereinigung
"About this title" may belong to another edition of this title.
- PublisherClarendon Pr
- ISBN 10 0198531559
- ISBN 13 9780198531555
- BindingHardcover
- LanguageEnglish
- Rating
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Introduction to Metric and Topological Spaces
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Condition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0198531559. Seller Inventory # 9200916
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Introduction to Metric and Topological Spaces
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0198531559. Seller Inventory # 9200915
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Introduction to Metric and Topological Spaces
Published by
Clarendon Press / Oxford University Press, London Oxford Glasgow New York, 1975
ISBN 10: 0198531559
ISBN 13: 9780198531555
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Hardcover
First Edition
Seller: West Side Book Shop, ABAA, Ann Arbor, MI, U.S.A.
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Hardcover. Condition: Near Fine. Dust Jacket Condition: Good. First Edition. xiv + 182 pp, faint printer's stamp "J" on title page, preface, Introduction, Notation & Terminology, 10 titled chapters with decimal subdivision, 11. Appendix 12. Guide to the Exercises; Bibliography, index. 5.7" x 8.75" dark blue laminated boards. Board forecorner tips slightly bumped or bent, binding tight and square, pages clean, unmarked, paper well-preserved, Black illustrated, clipped DJ with microwear at the extremities, a few whitened streaks. Handles nicely in acetate protector. Size: Slim Octavo. Book. Seller Inventory # 009082
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Introduction to Metric and Topological Spaces
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: Poor. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0198531559. Seller Inventory # 8956697
Quantity: 1 available
Stock Image
Introduction to Metric and Topological Spaces
Seller: Anybook.com, Lincoln, United Kingdom
Seller rating 5 out of 5 stars
Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. Clean from markings. In good all round condition. Dust jacket in fair condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0198531559. Seller Inventory # 9832706
Quantity: 1 available