Intuitive Concepts in Elementary Topology (Dover Books on Mathematics) By B. H. Arnold Cover Image

Intuitive Concepts in Elementary Topology (Dover Books on Mathematics) (Paperback)

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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 recognizing 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.

About the Author

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

Product Details
ISBN: 9780486481999
ISBN-10: 0486481999
Publisher: Dover Publications
Publication Date: July 19th, 2011
Pages: 182
Language: English
Series: Dover Books on Mathematics