Description
Book SynopsisOne 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 li
Trade ReviewThe first Edition of this work was highly praised ... It is reassuring to note that the Second Edition is equally impressive. The changes that have been made have only served to enhance the book. * Rob Ashmore, Mathematics today *
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 *
Table of ContentsPREFACE; REFERENCES; INDEX
