說明 
1 online resource (xii, 478 pages) 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 
系列 
Algorithms and Computation in Mathematics, 14311550 ; 9


Algorithms and computation in mathematics ; 9

附註 
Simple and special polyhedra  Complexity theory of 3manifolds  Haken theory of normal surfaces  Applications of the theory of normal surfaces  Algorithmic recognition of S3  Classification of Haken 3manifolds  Computer implementation  The TuraevViro invariants  Appendix 

This selfcontained book by a leading topologist is devoted to algorithmic lowdimensional topology, a branch of mathematics that has recently been undergoing an intense development. The book contains plenty of important fundamental material, which is carefully presented. The book also contains some of the author's own original contributions. For the first time ever, it gives a full exposition of the complexity theory of 3manifolds and a complete proof of the solution of the homeomorphism problem for Haken manifolds. The subject of the book is the topology of bare 3manifolds, without geometric structures, which became incorporated into 3dimensional topology by the work of Thurston. This nongeometric part of lowdimensional topology is presented by Matveev in a truly geometric way. Although the author emphasizes the algorithmic side of the subject, the book presents also the background nonalgorithmic contents of the subject. The style of the book is very lively, with a lot of useful pictures, making the book enjoyable for those who like visual topology. The writing is clear and the proofs are careful and detailed. This book fills a gap in the exisiting literature and will become a standard reference for this aspect of 3dimensional topology both for graduate students and researchers 
鏈接 
Print version: 9783662051047

主題 
Mathematics


Algebra  Data processing


Algorithms


Global differential geometry


Topology


Algebra  Data processing.
fast (OCoLC)fst00804890


Algorithms. fast (OCoLC)fst00805020


Global differential geometry. fast (OCoLC)fst00943477


Mathematics. fast (OCoLC)fst01012163


Topology. fast (OCoLC)fst01152692


Electronic books

