Introduction to Metric and Topological Spaces (Paperback)
  • Introduction to Metric and Topological Spaces (Paperback)
zoom

Introduction to Metric and Topological Spaces (Paperback)

(author)
£26.99
Paperback 224 Pages / Published: 18/06/2009
  • 5+ in stock
  • Free UK delivery

Available

  • This item has been added to your basket
Your local Waterstones may have stock of this item. Please check by using Click & Collect
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 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.

Publisher: Oxford University Press
ISBN: 9780199563081
Number of pages: 224
Weight: 345 g
Dimensions: 232 x 151 x 12 mm
Edition: 2nd Revised edition


MEDIA REVIEWS
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 *

You may also be interested in...

Conformal Field Theory and Topology
Added to basket
Differential Forms in Algebraic Topology
Added to basket
Edmund Husserl's "Origin of Geometry"
Added to basket
Fractals: A Very Short Introduction
Added to basket
Algebraic Topology
Added to basket
£31.99
Paperback
Operator Algebras
Added to basket
£109.99
Paperback
Schaums Outline of General Topology
Added to basket
Flatland
Added to basket
£9.99
Paperback
A First Course in Topology
Added to basket
Fractal Geometry
Added to basket
Harmonic Maps Into Homogeneous Spaces
Added to basket
Introduction to Topology
Added to basket

Please sign in to write a review

Your review has been submitted successfully.