Introduction to Metric and Topological Spaces

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9780199563081: Introduction to Metric and Topological Spaces
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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 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.

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Recensione:

The presentation, description and explanation throughout the seventeen short chapters are excellent, and the text can be described as self-contained, with many suitably chosen examples and exercises ,.. An interesting innovation for the new edition is having a companion web site in which more useful and relevant materials can be found. (Peter Shiu, The Mathematical Gazette)

L'autore:

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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Altre edizioni note dello stesso titolo

9780199563074: Introduction to Metric and Topological Spaces

Edizione in evidenza

ISBN 10: 0199563071 ISBN 13: 9780199563074
Casa editrice: OUP Oxford, 2009
Rilegato

9780198531616: Introduction to Metric and Topological Space

OUP Ox..., 1975
Brossura

9780198531555: Introduction to Metric and Topological Spaces

Claren..., 1975
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Wilson A. Sutherland
Editore: Oxford University Press, United Kingdom (2009)
ISBN 10: 019956308X ISBN 13: 9780199563081
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Descrizione libro Oxford University Press, United Kingdom, 2009. Paperback. Condizione: New. 2nd Revised edition. Language: English. Brand new Book. 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 convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a triowidely 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 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. Codice articolo AOP9780199563081

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Descrizione libro OUP Oxford 2009-06-18, Oxford, 2009. paperback. Condizione: New. Language: ENG. Codice articolo 9780199563081

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Descrizione libro Oxford University Press, 2009. Condizione: New. Codice articolo 5910123-n

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Sutherland, W.A.
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Descrizione libro Oxford University Press, 2009. Condizione: New. 2009. 2nd Edition. Paperback. 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: 224 pages, 56 line illustrations. BIC Classification: PBKB; PBM; PBP. Category: (UU) Undergraduate. Dimension: 231 x 156 x 12. Weight in Grams: 350. . . . . . Codice articolo V9780199563081

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Descrizione libro Oxford University Press, United Kingdom, 2009. Paperback. Condizione: New. 2nd Revised edition. Language: English. Brand new Book. 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 convey familiarity. The discussion develops to cover connectedness, compactness and completeness, a triowidely 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 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. Codice articolo BZE9780199563081

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Descrizione libro Oxford University Press, 2009. Paperback / softback. Condizione: New. New copy - Usually dispatched within 4 working days. 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. Codice articolo B9780199563081

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Descrizione libro OUP Oxford, 2009. Paperback. Condizione: New. BRAND NEW ** SUPER FAST SHIPPING FROM UK WAREHOUSE ** 30 DAY MONEY BACK GUARANTEE. Codice articolo mon0000207843

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