Algorithmic Topology and Classification of 3-Manifolds

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. Or...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Matveev, Sergei (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
Σειρά:Algorithms and Computation in Mathematics, 9
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Matveev, Sergei.  |e author. 
245 1 0 |a Algorithmic Topology and Classification of 3-Manifolds  |h [electronic resource] /  |c by Sergei Matveev. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2007. 
300 |a XIV, 492 p.  |b online resource. 
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490 1 |a Algorithms and Computation in Mathematics,  |x 1431-1550 ;  |v 9 
505 0 |a 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 Turaev–Viro Invariants. 
520 |a 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 monograph… 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 für Mathematik 1048 (2004) For this 2nd edition, new results, new proofs, and commentaries for a better orientation of the reader have been added. 
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650 2 4 |a Programming Techniques. 
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650 2 4 |a Algorithms. 
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830 0 |a Algorithms and Computation in Mathematics,  |x 1431-1550 ;  |v 9 
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