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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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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 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
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Book Description Clarendon Pr, 1975. Condition: Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. Seller Inventory # GRP76899195
Book Description Clarendon Pr, 1975. Condition: Good. A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. Seller Inventory # 0198531559-2-4
Book Description Clarendon Pr, 1975. Condition: Very Good. Ships from Reno, NV. Former Library book. Great condition for a used book! Minimal wear. Seller Inventory # GRP96400185
Book Description Oxford University Press, 1975. 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. Dust Jacket in fair condition. , 500grams, ISBN:0198531559. Seller Inventory # 6895350
Book Description Clarendon Pr, 1975. Hardcover. Condition: Good. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. May be ex-library. Shipping & Handling by region. Buy with confidence, excellent customer service!. Seller Inventory # 0198531559