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Counterexamples in Topology, Paperback by Steen, Lynn Arthur; Seebach, J. Art...

Description: Counterexamples in Topology, Paperback by Steen, Lynn Arthur; Seebach, J. Arthur, ISBN 048668735X, ISBN-13 9780486687353, Brand New, Free shipping in the US

According to the authors of this highly useful compendium, focusing on examples is an extremely effective method of involving undergraduate mathematics students in actual research. It is only as a result of pursuing the details of each example that students experience a significant increment in topological understanding. With that in mind, Professors Steen and Seebach have assembled 143 examples in this book, providing innumerable concrete illustrations of definitions, theorems, and general methods of proof. Far from presenting all relevant examples, however, th instead provides a fruitful context in which to ask new questions and seek new answers.
Ranging from the familiar to the obscure, the examples are preceded by a succinct exposition of general topology and basic terminology and theory. Each example is treated as a whole, with a highly geometric exposition that helps readers comprehend the material. Over 25 Venn diagrams and reference charts summarize the properties of the examples and allow students to scan quickly for examples with prescribed properties. In addition, discussions of general methods of constructing and changing examples acquaint readers with the art of constructing counterexamples. The authors have included an extensive collection of problems and exercises, all correlated with various examples, and a bibliography of 140 sources, tracing each uncommon example to its origin.

This revised and expanded second edition will be especially useful as a course supplement and reference work for students of general topology. Moreover, it gives the instructor the flexibility to design his own course while providing students with a wealth of historically and mathematically significant examples. 1978 edition.

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Counterexamples in Topology, Paperback by Steen, Lynn Arthur; Seebach, J. Art...

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Book Title: Counterexamples in Topology

Number of Pages: 272 Pages

Publication Name: Counterexamples in Topology

Language: English

Publisher: Dover Publications, Incorporated

Item Height: 0.5 in

Subject: General, Topology

Publication Year: 1995

Item Weight: 9.8 Oz

Type: Textbook

Author: Lynn Arthur Steen, J. Arthur Seebach Jr.

Item Length: 8.5 in

Subject Area: Mathematics

Series: Dover Books on Mathematics Ser.

Item Width: 5.4 in

Format: Trade Paperback

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