Overview

Classroom-tested and much-cited, this concise text offers a valuable and instructive introduction for undergraduates to the basic concepts of topology. It takes an intuitive rather than an axiomatic viewpoint, and can serve as a supplement as well as a primary text.A few selected topics allow students to acquire a feeling for the types of results and the methods of proof in mathematics, including mathematical induction. Subsequent problems deal with networks and maps, provide practice in recognising topological equivalence of figures, examine a proof of the Jordan curve theorem for the special case of a polygon, and introduce set theory. The concluding chapters examine transformations, connectedness, compactness, and completeness. The text is well illustrated with figures and diagrams.

Full Product Details

Author:   B H Arnold
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.60cm , Height: 0.90cm , Length: 21.50cm
Weight:   0.205kg
ISBN:  

9780486481999

ISBN 10:   0486481999
Pages:   192
Publication Date:   30 September 2011
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

0. Statements and Proofs in Mathematics 1. What is Topology? 2. Networks and Maps 3. Topological Equivalence in Three-Dimensional Space 4. Maps on a Sphere with Handles 5. The Jordan Curve Theorem 6. Sets 7. Transformations 8. Spaces References Index

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Author Information

Bradford Henry Arnold is a Professor Emeritus of Mathematics at Oregon State University.

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