In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric ...
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In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l'isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject.
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Add this copy of Classical Topology and Combinatorial Group Theory to cart. $50.00, very good condition, Sold by Michener & Rutledge Bookseller rated 5.0 out of 5 stars, ships from Baldwin City, KS, UNITED STATES, published 1993 by Springer.
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Very Good with No dust jacket as issued. 0387979700. 2nd edition; text clean and tight; no dust jacket; Graduate Texts In Mathematics, 72; 8vo 8"-9" tall; 348 pages.
Add this copy of Classical Topology and Combinatorial Group Theory to cart. $50.00, good condition, Sold by HPB-Red rated 5.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published 1993 by Springer.
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Add this copy of Classical Topology and Combinatorial Group Theory to cart. $60.00, very good condition, Sold by Moe's Books rated 5.0 out of 5 stars, ships from Berkeley, CA, UNITED STATES, published 1993 by Springer-Verlag.
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Very good. No jacket. Second Edition. Cover boards and spine are lightly sunned, not affecting legibility. Stickers from previous seller's on front and back cover, not covering text. Spine is shaken, but binding is tight. Name of previous owner in ink on inside front cover, front endpaper, and bottom edge of text block. Pages are clean and unmarked.
Add this copy of Classical Topology and Combinatorial Group Theory to cart. $94.37, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1993 by Springer.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN: 9780387979700.
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Add this copy of Classical Topology and Combinatorial Group Theory to cart. $200.88, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 1993 by Springer.