LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	514
Title	Algorithmic Topology and Classification of 3-Manifolds ([EBook] /) / by Sergei Matveev.
Author	Matveev, Sergei
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 2003.
Physical Details	XII, 478 p. 609 illus. : online resource.
Series	Algorithms and computation in mathematics 1431-1550 ; ; 9
ISBN	9783662051023
Summary Note	This self-contained book by a leading topologist is devoted to algorithmic low-dimensional 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 3-manifolds and a complete proof of the solution of the homeomorphism problem for Haken manifolds. The subject of the book is the topology of bare 3-manifolds, without geometric structures, which became incorporated into 3-dimensional topology by the work of Thurston. This non-geometric part of low-dimensional 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 non-algorithmic 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 3-dimensional topology both for graduate students and researchers.:
Contents note	1 Simple and Special Polyhedra -- 2 Complexity Theory of 3-Manifolds -- 3. Haken Theory of Normal Surfaces -- 4. Applications of the Theory of Normal Surfaces -- 5. Algorithmic Recognition of S3 -- 6. Classification of Haken 3-Manifolds -- 7 Computer Implementation -- 8 The Turaev-Viro Invariants -- 9 Appendix -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-05102-3
Links to Related Works	Subject References: Algorithms . Computer Science . Differential Geometry . Mathematics . Symbolic and Algebraic Manipulation . Topology . Authors: Matveev, Sergei . Corporate Authors: SpringerLink (Online service) . Series: Algorithms and computation in mathematics . Classification: 514 .

Catalogue Display

Algorithmic Topology and Classification of 3-Manifolds

Reviews