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Synopsis
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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Classical Topology and Combinatorial Group Theory
Seller: Attic Books (ABAC, ILAB), London, ON, Canada
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Hardcover. Condition: Near fine. Second Edition. Graduate Texts in Mathematics 72. xii, 334 p. 24 cm. 312 figures. Yellow hardcover. Small mark on text block edge. Seller Inventory # 149127
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Classical Topology and Combinatorial Group Theory - Second edition
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New York : Springer-Verlag, 1993
ISBN 10: 0387979700
ISBN 13: 9780387979700
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Condition: Good. 2nd Edition. Original boards, illustrated with numerous equations, graphs and diagrams, 8vo. Graduate texts in mathematics, 72.; Spine slightly discoloured, name in pen on title page. Seller Inventory # 342253-ZA24
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Classical Topology and Combinatorial Group Theory (Second Edition)
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Hard cover. Condition: 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. Seller Inventory # 1138144
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Classical Topology And Combinatorial Group Theory. Second Edition
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Springer-Verlag, 1993
ISBN 10: 0387979700
ISBN 13: 9780387979700
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Hardcover. Condition: Very Good. First edition. ISBN 0387979700. Hardback. No Dustjacket as issued. First printing from 1993 of the revised Second edition. Tight sound unmarked copy in Very Good condition. Part of the Graduate Texts In Mathematics series #72. Seller Inventory # 204839
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Classical Topology and Combinatorial Group Theory
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Classical Topology and Combinatorial Group Theory
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Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics, 72)
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Classical Topology and Combinatorial Group Theory
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Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics, 72)
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Classical Topology and Combinatorial Group Theory
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Springer New York Mrz 1993, 1993
ISBN 10: 0387979700
ISBN 13: 9780387979700
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 352 pp. Englisch. Seller Inventory # 9780387979700
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