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Computational topology, Edelsbrunner , Herbe



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Автор: Edelsbrunner , Herbe
Название:  Computational topology
Перевод названия: Вычислительная топология
ISBN: 9780821849255
Издательство: Eurospan
Классификация:
ISBN-10: 0821849255
Обложка/Формат: Hardback
Страницы: 241
Вес: 0.606 кг.
Дата издания: 2010/01/15
Язык: English
Иллюстрации: Illustrations
Размер: 262 x 182 x 20
Читательская аудитория: Postgraduate, research & scholarly
Подзаголовок: An introduction
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Поставляется из: Англии
Описание: Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. It covers motivating problems in both mathematics and computer science. Building up from classic topics in geometric and algebraic topology, it covers persistent homology.


Computational Homology

Автор: Kaczynski
Название: Computational Homology
ISBN: 0387408533 ISBN-13(EAN): 9780387408538
Издательство: Springer
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Цена: 13974 р.
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Описание: Uses the computer to take a combinatorial computational approach to homological problems. This interdisciplinary book is aimed at researchers and students in mathematics, computer science, nonlinear dynamics, and engineering.

Computational Excursions in Analysis and Number Theory

Автор: Borwein Peter
Название: Computational Excursions in Analysis and Number Theory
ISBN: 0387954449 ISBN-13(EAN): 9780387954448
Издательство: Springer
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Цена: 16769 р.
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Описание: This introduction to computational number theory is centered on a number of problems that live at the interface of analytic, computational and Diophantine number theory, and provides a diverse collection of techniques for solving number- theoretic problems. There are many exercises and open research problems included.

Modular Forms: A Classical and Computational Introduction: 2nd Edition

Автор: Kilford Lloyd J. P.
Название: Modular Forms: A Classical and Computational Introduction: 2nd Edition
ISBN: 1783265450 ISBN-13(EAN): 9781783265459
Издательство: World Scientific Publishing
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Цена: 10296 р.
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Описание: Modular Forms is a graduate student-level introduction to the classical theory of modular forms and computations involving modular forms, including modular functions and the theory of Hecke operators.

Topology for computing

Автор: Zomorodian
Название: Topology for computing
ISBN: 0521136091 ISBN-13(EAN): 9780521136099
Издательство: Cambridge Academ
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Цена: 8237 р.
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Описание: This book presents the basic concepts from the emerging field of computational topology that combines topology theory with the power of computing to solve problems in diverse fields. Written from a computer science perspective, the book enables non-specialists to grasp the ideas and so participate in current research in computational topology.

Topology, Geometry and Gauge fields

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 10480 р.
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Topology-based Methods in Visualization

Автор: Hauser Helwig, Hagen Hans, Theisel Holger
Название: Topology-based Methods in Visualization
ISBN: 3540708227 ISBN-13(EAN): 9783540708223
Издательство: Springer
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Цена: 22359 р.
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Описание: Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualizations accordingly. There are currently new demands for and renewed interest in topology-based visualization solutions. This book presents 13 peer-reviewed papers as written results from the 2005 workshop “Topology-Based Methods in Visualization” that was initiated to enable additional stimulation in this field. It contains a longer chapter dedicated to a survey of the state-of-the-art, as well as a great deal of original work by leading experts that has not been published before, spanning both theory and applications. It captures key concepts and novel ideas and serves as an overview of current trends in topology-based visualization research.

Computational Homology

Автор: Tomasz Kaczynski, Konstantin Mischaikow, Marian Mr
Название: Computational Homology
ISBN: 1441923543 ISBN-13(EAN): 9781441923547
Издательство: Springer
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Цена: 10480 р.
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Описание: Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations. Following this is a section containing extensions to further developments in algebraic topology, applications to computational dynamics, and applications to image processing.

Computational Number Theory and Modern Cryptography

Автор: Yan Song Y
Название: Computational Number Theory and Modern Cryptography
ISBN: 1118188586 ISBN-13(EAN): 9781118188583
Издательство: Wiley
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Цена: 13139 р.
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Описание: * Makes deep mathematical problems accessible to computer scientists and engineers * Based on classroom tested materials used in the US, UK and China * Exercises included in every chapter * Instructor resources available on the book s Companion Website .


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