This study book, written by Wilson A. Sutherland and published by Oxford University Press, provides a clear introduction to metric and topological spaces. It is aimed at mathematics students and describes the foundations of continuity within these structures. It covers essential properties such as compactness, connectedness, and completeness.
Contents
The book lays the groundwork for topological spaces using realistic examples from analysis, and then introduces more abstract concepts through metric spaces. Continuity is central to this approach: concepts are explained first for metric spaces and then extended to topological spaces. In addition to the analytical aspects, it also addresses the more geometric side of topology, with examples such as Möbius bands and Klein bottles.
This edition includes numerous exercises with hints for the more challenging questions. It is therefore suitable for second- and third-year students looking for deeper understanding of the theory of metric and topological spaces.
Product specifications
- Author: Wilson A. Sutherland (Emeritus Fellow of New College, Oxford)
- Publisher: Oxford University Press
- Publication date: 2009-06-18
- Number of pages: 224
- ISBN: 9780199563081
- Theme: Topology
- BISAC: MATHEMATICS / Topology
About the author
Wilson A. Sutherland was for many years a university lecturer and mathematics mentor at the University of Oxford. He also taught at the Massachusetts Institute of Technology, the University of Manchester, Yale University, and the University of Aberdeen.