This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Destinations, frais et délaisVendeur : Klondyke, Almere, Pays-Bas
Etat : 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. N° de réf. du vendeur 342253-ZA24
Quantité disponible : 1 disponible(s)
Vendeur : Antiquariat Smock, Freiburg, Allemagne
Etat : Gut. Formateinband: Pappband / gebundene Ausgabe XII, 334 S. (24 cm) 1st Edition; Guter und sauberer Zustand. Sprache: Englisch Gewicht in Gramm: 800 [Stichwörter: Klassische Topologie und kombinatorische Gruppentheorie]. N° de réf. du vendeur 77370
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Vendeur : Buchpark, Trebbin, Allemagne
Etat : Gut. Zustand: Gut - Gebrauchs- und Lagerspuren. 2. Auflage. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 352 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 1543453/203
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Vendeur : Attic Books (ABAC, ILAB), London, ON, Canada
Hardcover. Etat : Near fine. Second Edition. Graduate Texts in Mathematics 72. xii, 334 p. 24 cm. 312 figures. Yellow hardcover. Small mark on text block edge. N° de réf. du vendeur 149127
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Vendeur : Anybook.com, Lincoln, Royaume-Uni
Etat : Good. 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. N° de réf. du vendeur 5953876
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Vendeur : Michener & Rutledge Booksellers, Inc., Baldwin City, KS, Etats-Unis
Hardcover. Etat : Very Good. 2nd edition; text clean and tight; no dust jacket; Graduate Texts In Mathematics, 72; 8vo 8" - 9" tall; 348 pages. N° de réf. du vendeur 239164
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Vendeur : Moe's Books, Berkeley, CA, Etats-Unis
Hard cover. Etat : 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. N° de réf. du vendeur 1138144
Quantité disponible : 1 disponible(s)
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
Etat : New. pp. 352. N° de réf. du vendeur 18290003
Quantité disponible : 1 disponible(s)
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Buch. Etat : 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. N° de réf. du vendeur 9780387979700
Quantité disponible : 2 disponible(s)
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9780387979700
Quantité disponible : 1 disponible(s)