Algorithmic Topology and Classification of 3-Manifolds
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Overview
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".
Zentralblatt f r Mathematik 2004
For 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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Details
- ISBN-13: 9783642079603
- ISBN-10: 3642079601
- Publisher: Springer
- Publish Date: November 2010
- Dimensions: 9.21 x 6.14 x 1.02 inches
- Shipping Weight: 1.55 pounds
- Page Count: 492
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