GRADUATE TEXTS IN MATHEMATICS - CLASSICAL TOPOLOGY AND COMBINATORY GROUP THEORY - SECOND EDITION - Couverture rigide

Stillwell, John

Couverture rigide

ISBN 10 : 0387979700 ISBN 13 : 9780387979700

Editeur : Springer-Verlag New York Inc., 1993

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.

A propos du livre

Présentation de l'éditeur

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.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 1993
• Langue: anglais
• ISBN 10: 0387979700
• ISBN 13: 9780387979700
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 348
• Coordonnées du fabricant: GPSR Kontakt; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Allemagne