Ebook: Algorithmic Topology and Classification of 3-Manifolds
Author: Sergei Matveev (auth.)
- Genre: Mathematics
- Tags: Topology, Differential Geometry, Algorithms, Symbolic and Algebraic Manipulation
- Series: Algorithms and Computation in Mathematics 9
- Year: 2003
- Publisher: Springer Berlin Heidelberg
- City: Berlin; New York
- Edition: 2nd ed
- Language: English
- pdf
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 monographAll 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'.Zentralblatt fur 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 "3-Manifold Recognizer" have been included.
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