Algorithmic and Computer Methods for Three-Manifolds

Algorithmic and Computer Methods for Three-Manifolds PDF Author: A.T. Fomenko
Publisher: Springer Science & Business Media
ISBN: 9401706999
Category : Mathematics
Languages : en
Pages : 343

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Book Description
One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.

Algorithmic and Computer Methods for Three-Manifolds

Algorithmic and Computer Methods for Three-Manifolds PDF Author: A.T. Fomenko
Publisher: Springer Science & Business Media
ISBN: 9401706999
Category : Mathematics
Languages : en
Pages : 343

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Book Description
One service mathematics has rendered the human race. It has put common sense back where it belongs. It has put common sense back where it belongs, on the topmost shelf next to the dusty canister labelled discarded nonsense. Eric TBell Every picture tells a story. Advenisement for for Sloan's backache and kidney oils, 1907 The book you have in your hands as you are reading this, is a text on3-dimensional topology. It can serve as a pretty comprehensive text book on the subject. On the other hand, it frequently gets to the frontiers of current research in the topic. If pressed, I would initially classify it as a monograph, but, thanks to the over three hundred illustrations of the geometrical ideas involved, as a rather accessible one, and hence suitable for advanced classes. The style is somewhat informal; more or less like orally presented lectures, and the illustrations more than make up for all the visual aids and handwaving one has at one's command during an actual presentation.

Algorithmic Topology and Classification of 3-Manifolds

Algorithmic Topology and Classification of 3-Manifolds PDF Author: Sergei Matveev
Publisher: Springer Science & Business Media
ISBN: 3662051028
Category : Mathematics
Languages : en
Pages : 487

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Book Description
Here is a thorough review of topics in 3-dimensional topology, derived from a decade of courses taught by the author. The author keeps the exposition to an elementary level by presenting the material mainly from the point of view of special polyhedra and special spines of 3-manifolds. The book culminates with the recognition procedure for Haken manifolds, and includes up-to-date results in computer enumeration of 3-mainfolds. The second edition adds new results, new proofs, and commentaries. Algorithmic Topology and Classification of 3-Manifolds serves as a standard reference for algorithmic 3-dimensional topology for both graduate students and researchers.

Lectures on the Topology of 3-Manifolds

Lectures on the Topology of 3-Manifolds PDF Author: Nikolai Saveliev
Publisher: Walter de Gruyter
ISBN: 3110806355
Category : Mathematics
Languages : en
Pages : 212

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Book Description


Discrete Geometry for Computer Imagery

Discrete Geometry for Computer Imagery PDF Author: Gunilla Borgefors
Publisher: Springer
ISBN: 3540444386
Category : Computers
Languages : en
Pages : 544

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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery, DGCI 2000, held in Uppsala, Sweden in December 2000. The 40 revised papers presented together with two invited papers were carefully reviewed and selected from 62 submissions. The papers are organized in topical sections on topology, discrete images, surfaces and volumes, shape representation, and shape understanding.

Knots, Links, Braids and 3-Manifolds

Knots, Links, Braids and 3-Manifolds PDF Author: Viktor Vasilʹevich Prasolov
Publisher: American Mathematical Soc.
ISBN: 0821808982
Category : Mathematics
Languages : en
Pages : 250

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Book Description
This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. The mathematical prerequisites are minimal compared to other monographs in this area. Numerous figures and problems make this book suitable as a graduate level course text or for self-study.

GPU Ray Tracing in Non-Euclidean Spaces

GPU Ray Tracing in Non-Euclidean Spaces PDF Author: Tiago Novello
Publisher: Morgan & Claypool Publishers
ISBN: 1636393276
Category : Computers
Languages : en
Pages : 129

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Book Description
This book explores the visualization of three-dimensional non-Euclidean spaces using raytracing techniques in Graphics Processing Unit (GPU). This is a trending topic in mathematical visualization that combines the mathematics areas of geometry and topology, with visualization concepts of computer graphics. Several conditions made this a special moment for such topic. On one hand, the development of mathematical research, computer graphics, and algorithms have provided the necessary theoretical framework. On the other hand, the evolution of the technologies and media allows us to be immersed in three-dimensional spaces using Virtual Reality. The content of this book serves both experts in the areas and students. Although this is a short book, it is self-contained since it considers all the ideas, motivations, references, and intuitive explanations of the required fundamental concepts.

Computing and Combinatorics

Computing and Combinatorics PDF Author: Oscar H. Ibarra
Publisher: Springer
ISBN: 3540456554
Category : Computers
Languages : en
Pages : 619

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Book Description
This book constitutes the refereed proceedings of the 8th Annual International Computing and Combinatorics Conference, COCOON 2002, held in Singapore in August 2002. The 60 revised full papers presented together with three invited contributions were carefully reviewed and selected from 106 submissions. The papers are organized in topical sections on complexity theory, discrete algorithms, computational biology and learning theory, radio networks, automata and formal languages, Internet networks, computational geometry, combinatorial optimization, and quantum computing.

Lectures in Knot Theory

Lectures in Knot Theory PDF Author: Józef H. Przytycki
Publisher: Springer Nature
ISBN: 3031400445
Category :
Languages : en
Pages : 525

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Book Description


History: fiction or science?. Chronology 1

History: fiction or science?. Chronology 1 PDF Author: A. T. Fomenko
Publisher: Mithec
ISBN: 2913621074
Category : Chronology, Historical
Languages : en
Pages : 634

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Book Description
The author contends that all generaly accepted historical chronology prior to the 16th century is inaccurate, often off by many hundreds or even thousands of years. Volume 1 of a proposed seven volumes.

A Survey of Knot Theory

A Survey of Knot Theory PDF Author: Akio Kawauchi
Publisher: Birkhäuser
ISBN: 3034892276
Category : Mathematics
Languages : en
Pages : 431

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Book Description
Knot theory is a rapidly developing field of research with many applications, not only for mathematics. The present volume, written by a well-known specialist, gives a complete survey of this theory from its very beginnings to today's most recent research results. An indispensable book for everyone concerned with knot theory.