Articles liés à Classical Topology and Combinatorial Group Theory
Synopsis
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.
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- ÉditeurSpringer New York
- Date d'édition1993
- ISBN 10 1461287499
- ISBN 13 9781461287490
- ReliureBroché
- Langueanglais
- Nombre de pages352
- Coordonnées du fabricantnon disponible
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Classical Topology and Combinatorial Group Theory
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Classical Topology and Combinatorial Group Theory
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Springer New York, 2011
ISBN 10 : 1461287499
ISBN 13 : 9781461287490
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 co. N° de réf. du vendeur 4191308
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Classical Topology and Combinatorial Group Theory
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Classical Topology and Combinatorial Group Theory. Second edition (Graduate Texts in Mathematics, 72).
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Classical Topology and Combinatorial Group Theory
Edité par
Springer New York, Springer New York Okt 2011, 2011
ISBN 10 : 1461287499
ISBN 13 : 9781461287490
Neuf
Taschenbuch
Vendeur : Wegmann1855, Zwiesel, Allemagne
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Taschenbuch. Etat : Neu. 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. N° de réf. du vendeur 9781461287490
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Classical Topology and Combinatorial Group Theory
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Classical Topology and Combinatorial Group Theory
Edité par
Springer New York, Springer New York Okt 2011, 2011
ISBN 10 : 1461287499
ISBN 13 : 9781461287490
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. 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 9781461287490
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Classical Topology and Combinatorial Group Theory
Edité par
Springer New York, Springer New York Okt 2011, 2011
ISBN 10 : 1461287499
ISBN 13 : 9781461287490
Neuf
Taschenbuch
Vendeur : Rheinberg-Buch Andreas Meier eK, Bergisch Gladbach, Allemagne
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Taschenbuch. 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 9781461287490
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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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