Classical Topology and Combinatorial Group Theory

Classical Topology and Combinatorial Group Theory pdf epub mobi txt 电子书 下载 2025

出版者:Springer Verlag
作者:Stillwell, John
出品人:
页数:346
译者:
出版时间:1993-3
价格:$ 101.64
装帧:HRD
isbn号码:9780387979700
丛书系列:Graduate Texts in Mathematics
图书标签:
  • 数学 
  • GTM 
  • topology 
  • algebra 
  • Springer 
  •  
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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.

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