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Classical Topology and Combinatorial Group Theory - John Stillwell
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John Stillwell:

Classical Topology and Combinatorial Group Theory - edition reliée, livre de poche

1993, ISBN: 0387979700

[EAN: 9780387979700], Neubuch, [PU: Springer New York Mrz 1993], TOPOLOGIE - DIFFERENZIALTOPOLOGIE; ABELIANGROUP; GROUPTHEORY; GRUPPE(MATH.); KOMBINATORIK;, This item is printed on demand… Plus…

NEW BOOK. Frais d'envoi EUR 24.78 BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany [57449362] [Rating: 4 (von 5)]
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John Stillwell:

Classical Topology and Combinatorial Group Theory - edition reliée, livre de poche

1993, ISBN: 0387979700

[EAN: 9780387979700], Neubuch, [SC: 35.55], [PU: Springer New York], TOPOLOGIE - DIFFERENZIALTOPOLOGIE; ABELIANGROUP; GROUPTHEORY; GRUPPE(MATH.); KOMBINATORIK;, Druck auf Anfrage Neuware … Plus…

NEW BOOK. Frais d'envoi EUR 35.55 AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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ISBN: 9780387979700

[ED: Buch], [PU: Springer New York], Neuware - In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of… Plus…

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Classical Topology and Combinatorial Group Theory - nouveau livre

ISBN: 9780387979700

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 kn… Plus…

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Classical Topology and Combinatorial Group Theory  2nd ed. 1993. Corr. 2nd printing 1995 - John Stillwell
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Classical Topology and Combinatorial Group Theory 2nd ed. 1993. Corr. 2nd printing 1995 - livre d'occasion

1993, ISBN: 9780387979700

2nd ed. 1993. Corr. 2nd printing 1995 Gebrauchs- und Lagerspuren. 2. Auflage. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. 1543453/203 Versandkostenfreie Li… Plus…

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Détails sur le livre
Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics, 72)

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.

Informations détaillées sur le livre - Classical Topology and Combinatorial Group Theory (Graduate Texts in Mathematics, 72)


EAN (ISBN-13): 9780387979700
ISBN (ISBN-10): 0387979700
Version reliée
Livre de poche
Date de parution: 2007
Editeur: Springer
334 Pages
Poids: 0,689 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-05-31T15:44:50+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-31T18:26:26+02:00 (Paris)
ISBN/EAN: 9780387979700

ISBN - Autres types d'écriture:
0-387-97970-0, 978-0-387-97970-0
Autres types d'écriture et termes associés:
Auteur du livre: stillwell john, john still
Titre du livre: graduate text mathematics, group zero, the group, graduate texts mathematics, john stillwell, classical topology and combinatorial group theory


Données de l'éditeur

Auteur: John Stillwell
Titre: Graduate Texts in Mathematics; Classical Topology and Combinatorial Group Theory
Editeur: Springer; Springer US
336 Pages
Date de parution: 1993-03-25
New York; NY; US
Langue: Anglais
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XII, 336 p.

BB; Hardcover, Softcover / Mathematik/Geometrie; Topologie; Verstehen; Abelian group; Group; Group theory; Gruppe (Math.); Kombinatorik; Topologie; Topology; Topology; Topological Groups and Lie Groups; Gruppen und Gruppentheorie; BC; EA; BC

0 Introduction and Foundations.- 0.1 The Fundamental Concepts and Problems of Topology.- 0.2 Simplicial Complexes.- 0.3 The Jordan Curve Theorem.- 0.4 Algorithms.- 0.5 Combinatorial Group Theory.- 1 Complex Analysis and Surface Topology.- 1.1 Riemann Surfaces.- 1.2 Nonorientable Surfaces.- 1.3 The Classification Theorem for Surfaces.- 1.4 Covering Surfaces.- 2 Graphs and Free Groups.- 2.1 Realization of Free Groups by Graphs.- 2.2 Realization of Subgroups.- 3 Foundations for the Fundamental Group.- 3.1 The Fundamental Group.- 3.2 The Fundamental Group of the Circle.- 3.3 Deformation Retracts.- 3.4 The Seifert—Van Kampen Theorem.- 3.5 Direct Products.- 4 Fundamental Groups of Complexes.- 4.1 Poincaré’s Method for Computing Presentations.- 4.2 Examples.- 4.3 Surface Complexes and Subgroup Theorems.- 5 Homology Theory and Abelianization.- 5.1 Homology Theory.- 5.2 The Structure Theorem for Finitely Generated Abelian Groups.- 5.3 Abelianization.- 6 Curves on Surfaces.- 6.1 Dehn’s Algorithm.- 6.2 Simple Curves on Surfaces.- 6.3 Simplification of Simple Curves by Homeomorphisms.- 6.4 The Mapping Class Group of the Torus.- 7 Knots and Braids.- 7.1 Dehn and Schreier’s Analysis of the Torus Knot Groups.- 7.2 Cyclic Coverings.- 7.3 Braids.- 8 Three-Dimensional Manifolds.- 8.1 Open Problems in Three-Dimensional Topology.- 8.2 Polyhedral Schemata.- 8.3 Heegaard Splittings.- 8.4 Surgery.- 8.5 Branched Coverings.- 9 Unsolvable Problems.- 9.1 Computation.- 9.2 HNN Extensions.- 9.3 Unsolvable Problems in Group Theory.- 9.4 The Homeomorphism Problem.- Bibliography and Chronology.

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