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03224nam a22005295i 4500 |
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|a 9783540458999
|9 978-3-540-45899-9
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|a 10.1007/978-3-540-45899-9
|2 doi
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|a QA611-614.97
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|a MAT038000
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|a 514
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|a Matveev, Sergei.
|e author.
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|a Algorithmic Topology and Classification of 3-Manifolds
|h [electronic resource] /
|c by Sergei Matveev.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2007.
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|a XIV, 492 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
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|a text file
|b PDF
|2 rda
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|a Algorithms and Computation in Mathematics,
|x 1431-1550 ;
|v 9
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|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.
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|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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|a Mathematics.
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|a Computer programming.
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|a Computer science
|x Mathematics.
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|a Algorithms.
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|a Differential geometry.
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|a Topology.
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|a Mathematics.
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|a Topology.
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|a Programming Techniques.
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|a Differential Geometry.
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|a Algorithms.
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|a Symbolic and Algebraic Manipulation.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540458982
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|a Algorithms and Computation in Mathematics,
|x 1431-1550 ;
|v 9
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|u http://dx.doi.org/10.1007/978-3-540-45899-9
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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