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Synopsis
Fully updated second edition of Wilson Sutherland's classic Introduction to Metric and Topological Spaces
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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.
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Introduction to Metric and Topological Spaces
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Introduction to Metric and Topological Spaces (eng)
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Introduction to Metric and Topological Spaces (Hardcover)
Published by
Oxford University Press, Oxford, 2009
ISBN 10: 0199563071
ISBN 13: 9780199563074
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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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780199563074
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Introduction to Metric and Topological Spaces (Hardcover)
Published by
Oxford University Press, Oxford, 2009
ISBN 10: 0199563071
ISBN 13: 9780199563074
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Seller: AussieBookSeller, Truganina, VIC, Australia
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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. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780199563074
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Introduction to Metric and Topological Spaces
Published by
Oxford University Press, 2009
ISBN 10: 0199563071
ISBN 13: 9780199563074
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Introduction to Metric and Topological Spaces
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Condition: New. 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. Num Pages: 220 pages, 56 line illustrations. BIC Classification: PBKB; PBM; PBP. Category: (UU) Undergraduate. Dimension: 233 x 160 x 15. Weight in Grams: 452. . 2009. 2 Rev ed. Hardback. . . . . Seller Inventory # V9780199563074
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