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Saugata Basu. Arjeh M. Mark L. John R. Rafael Sendra. Petteri Kaski.

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Harry Potter. Popular Features. New Releases. Description 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 fur Mathematik 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.

Joel Hass - Lecture 2 - Algorithms and complexity in the theory of knots and manifolds - 19/06/18

Product details Format Paperback pages Dimensions x x Other books in this series. Graphs, Networks and Algorithms Dieter Jungnickel. Add to basket. Geometry of Continued Fractions Oleg Karpenkov. Polynomials Victor V.

AMS :: Bulletin of the American Mathematical Society

Triangulations Jesus A. Combinatorial Algebraic Topology Dimitry Kozlov. Computing in Algebraic Geometry Wolfram Decker. Algorithmic Topology and Classification of 3-Manifolds S. Computability of Julia Sets Mark L. Symbolic Asymptotics John R. Algorithmic Topology and Classification of 3-Manifolds.

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Sergei Matveev. The book is devoted to algorithmic low-dimensional topology.

This branch of mathematics has recently been undergoing an intense development. On the one hand, the exponential advancement of computer technologies has made it possible to conduct sophisticated computer experiments and to implement algorithmic solutions, which have in turn provided a motivation to search for new and better algorithms. On the other hand, low-dimensional topology has received an additional boost because of the discovery of numerous connections with theoretical physics. There is also another deep reason why algorithmic topology has received a lot of attention.