Algorithmic Topology and Classification of 3-Manifolds
ISBN: , SKU: , AUTHOR: Matveev, Sergei, PUBLISHER: Springer, From the reviews ong>ofong> the 1st edition: "This book provides a comprehensive and detailed account ong>ofong> different topics in algorithmic 3-dimensional ong>topologyong>, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration ong>ofong> 3-manifolds. Originating from lecture notes ong>ofong> various courses given by the author over a decade, the book is intended to combine the pedagogical approach ong>ofong> a graduate textbook (without exercises) with the completeness and reliability ong>ofong> a research monograph... All the material, with few exceptions, is presented from the peculiar point ong>ofong> view ong>ofong> special polyhedra and special spines ong>ofong> 3-manifolds. This choice contributes to keep the level ong>ofong> 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 ong>topologyong> both for graduate students and researchers." Zentralblatt fur Mathematik For this 2nd edition, new results, new proong>ofong>s, and commentaries for a better orientation ong>ofong> the reader have been added. In particular, in Chapter 7 several new sections concerning applications ong>ofong> the computer program "3-Manifold Recognizer" have been included.