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Cover Introduction to Metric and Topological Spaces by 	Wilson A. Sutherland

Download Introduction to Metric and Topological Spaces by Wilson A. Sutherland

  • Authors: Wilson A. Sutherland
  • ISBN-13: 0199563071
  • ISBN: 9780199563074
  • Pub. Date: October 2009
  • Publisher: Oxford University Press, USA
  • Add:Admin
  • Add time:14:39
  • Available formats:PDF, FB2, DJBU, TXT, EPUB, Mobi
  • File status:online

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Discription Introduction to Metric and Topological Spaces by Wilson A. Sutherland:

 OverviewOne 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 Sutherlands 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 Mobius 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.Wish you'd been there to see.

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"There's gratitude for you. and speaking of gratitude reminds me to mention that you may thank Hannah for saving tto wedding-cake from destruction. I saw it going into your house as I came by, and if she hadn't defended it manfully I'd have had a pick at it, for it looked like a remarkably plummy one.

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