Algorithmic Topology and Classification of 3-Manifolds
by
Matveev, Sergei. author.
Title
:
Algorithmic Topology and Classification of 3-Manifolds
Author
:
Matveev, Sergei. author.
ISBN
:
9783540458999
Personal Author
:
Matveev, Sergei. author.
Physical Description
:
XIV, 492 p. online resource.
Series
:
Algorithms and Computation in Mathematics, 9
Contents
:
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.
Abstract
:
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.
Subject Term
:
Mathematics.
Algebra -- Data processing.
Algorithms.
Global differential geometry.
Topology.
Differential Geometry.
Symbolic and Algebraic Manipulation.
Added Corporate Author
:
SpringerLink (Online service)
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | E-Book | 511741-1001 | QA611 -614.97 | Online Springer |