Items related to Introduction to Metric and Topological Spaces
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.
- PublisherOxford University Press
- Publication date2009
- ISBN 10 0199563071
- ISBN 13 9780199563074
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages206
- Rating
Other Popular Editions of the Same Title
Search results for Introduction to Metric and Topological Spaces
Seller Image
Introduction to Metric and Topological Spaces
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 6912126-n
Quantity: Over 20 available
Stock Image
Introduction to Metric and Topological Spaces
Print on DemandSeller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
HRD. Condition: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L1-9780199563074
Quantity: Over 20 available
Stock Image
Introduction to Metric and Topological Spaces
Print on DemandSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
HRD. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L1-9780199563074
Quantity: Over 20 available
Seller Image
Introduction to Metric and Topological Spaces
Published by
Oxford University Press, 2009
ISBN 10: 0199563071
ISBN 13: 9780199563074
Used
Hardcover
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 6912126
Quantity: Over 20 available
Stock Image
Introduction to Metric and Topological Spaces
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780199563074_new
Quantity: Over 20 available
Seller Image
Introduction to Metric and Topological Spaces
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 6912126-n
Quantity: Over 20 available
Stock Image
Introduction to Metric and Topological Spaces
Print on DemandSeller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 485. Seller Inventory # C9780199563074
Quantity: Over 20 available
Seller Image
Introduction to Metric and Topological Spaces
Published by
Oxford University Press, 2009
ISBN 10: 0199563071
ISBN 13: 9780199563074
Used
Hardcover
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 6912126
Quantity: Over 20 available
Stock Image
Introduction to Metric and Topological Spaces
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Feb2215580054401
Quantity: Over 20 available
Seller Image
Introduction to Metric and Topological Spaces (Hardcover)
Published by
Oxford University Press, Oxford, 2009
ISBN 10: 0199563071
ISBN 13: 9780199563074
New
Hardcover
Seller: Grand Eagle Retail, Fairfield, OH, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. 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 ofmetric 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 conveyfamiliarity. 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 Moebius 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 asthe 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 byhints, as well as a companion website, with further explanations and examples as well as material supplementary to that in the book. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780199563074
Quantity: 1 available