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From the reviews of the 1st edition:"This book provides a comprehensive and detailed account of different topics in algorithmic 3dimensional topology, culminating with the recognition procedure for Haken manifolds and including the uptodate results in computer enumeration of 3manifolds. 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 monographAll the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines of 3manifolds. 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 3dimensional topology both for graduate students and researchers".Zentralblatt fr Mathematik 2004For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. In particular, in Chapter 7 several new sections concerning applications of the computer program "3Manifold Recognizer" have been included.
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