Algorithmic Topology and Classification of 3-Manifolds [electronic resource] / by Sergei Matveev.
Tipo de material: TextoSeries Algorithms and Computation in Mathematics ; 9 | Algorithms and Computation in Mathematics ; 9Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Descripción: XIV, 492 p. online resourceTipo de contenido:- text
- computer
- online resource
- 9783540458999
- SpringerLink (Online service)
- 514 23
- QA611-614.97
Simple and Special Polyhedra -- Complexity Theory of 3-Manifolds -- Haken Theory of Normal Surfaces -- Applications of the Theory of Normal Surfaces -- Algorithmic Recognition of S3 -- Classification of Haken 3-Manifolds -- 3-Manifold Recognizer -- The TuraevViro Invariants.
From the reviews of the 1st edition: "This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monographǪ All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3-manifolds. This choice contributes to keep the level of the exposition really elementary. In conclusion, the reviewer subscribes to the quotation from the back cover: "the book fills a gap in the existing literature and will become a standard reference for algorithmic 3-dimensional topology both for graduate students and researchers". R. Piergallini, Zentralblatt fȭr Mathematik 1048 (2004) For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added.
ZDB-2-SMA
No hay comentarios en este titulo.