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Author: Lynn Arthur Steen,J. A. Seebach
Number of Pages: 272 pages
Published Date: 23 Feb 1996
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486687353
Download Link: Click Here
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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, the book 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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Author: Maurizio Bonuccelli,Pierluigi Crescenzi,Rossella Petreschi
Number of Pages: 227 pages
Published Date: 01 Jun 1997
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Publication Country: Berlin, Germany
Language: English
ISBN: 9783540578116
Download Link: Click Here
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Author: H Dunne,A Leman
Number of Pages: none
Published Date: 01 Jun 2002
Publisher: Hemisferio Sur Editorial
Publication Country: United States
Language: English, Spanish
ISBN: 9789505042203
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Author: Geoffrey Richard Thompson,Susan Hunston
Number of Pages: 256 pages
Published Date: 01 Feb 2007
Publisher: Equinox Publishing Ltd
Publication Country: London, United Kingdom
Language: English
ISBN: 9781845532512
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Author: Mark Thompson
Number of Pages: 496 pages
Published Date: 02 Apr 2009
Publisher: FABER & FABER
Publication Country: London, United Kingdom
Language: English
ISBN: 9780571223343
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