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Hyperbolic knot theory, Purcell, Jessica S.


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Цена: 81930.00T
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Автор: Purcell, Jessica S.
Название:  Hyperbolic knot theory
ISBN: 9781470454999
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470454998
Обложка/Формат: Paperback
Страницы: 369
Вес: 0.68 кг.
Дата издания: 30.01.2021
Серия: Graduate studies in mathematics
Язык: English
Размер: 182 x 255 x 24
Ключевые слова: Geometry,Topology
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Поставляется из: Англии
Описание: This book provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. Hyperbolic geometry was first used as a tool to study knots by Riley and then Thurston in the 1970s. By the 1980s, combining work of Mostow and Prasad with Gordon and Luecke, it was known that a hyperbolic structure on a knot complement in the 3-sphere gives a complete knot invariant. However, it remains a difficult problem to relate the hyperbolic geometry of a knot to other invariants arising from knot theory. In particular, it is difficult to determine hyperbolic geometric information from a knot diagram, which is classically used to describe a knot. This textbook provides background on these problems, and tools to determine hyperbolic information on knots. It also includes results and state-of-the art techniques on hyperbolic geometry and knot theory to date.The book was written to be interactive, with many examples and exercises. Some important results are left to guided exercises. The level is appropriate for graduate students with a basic background in algebraic topology, particularly fundamental groups and covering spaces. Some experience with some differential topology and Riemannian geometry will also be helpful.
Дополнительное описание: Geometry|Topology


Finite Volume Methods for Hyperbolic Problems

Автор: Randall J. LeVeque
Название: Finite Volume Methods for Hyperbolic Problems
ISBN: 0521009243 ISBN-13(EAN): 9780521009249
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.

Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae

Автор: Grosche Christian
Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae
ISBN: 9814460079 ISBN-13(EAN): 9789814460071
Издательство: World Scientific Publishing
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Цена: 132000.00 T
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Описание: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.

Hyperbolic Functional Differential Inequalities and Applications

Автор: Z. Kamont
Название: Hyperbolic Functional Differential Inequalities and Applications
ISBN: 9401059578 ISBN-13(EAN): 9789401059572
Издательство: Springer
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Цена: 93160.00 T
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Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type

Автор: Yuri A. Mitropolsky; G. Khoma; M. Gromyak
Название: Asymptotic Methods for Investigating Quasiwave Equations of Hyperbolic Type
ISBN: 9401064261 ISBN-13(EAN): 9789401064262
Издательство: Springer
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Цена: 46570.00 T
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Hyperbolic Systems with Analytic Coefficients

Автор: Tatsuo Nishitani
Название: Hyperbolic Systems with Analytic Coefficients
ISBN: 3319022725 ISBN-13(EAN): 9783319022727
Издательство: Springer
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Цена: 46570.00 T
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Описание: With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term.

Hyperbolic Problems: Theory, Numerics, Applications

Автор: Heinrich Freist?hler; Gerald Warnecke
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034895380 ISBN-13(EAN): 9783034895385
Издательство: Springer
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Цена: 93160.00 T
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Hyperbolic Problems: Theory, Numerics, Applications

Автор: Heinrich Freist?hler; Gerald Warnecke
Название: Hyperbolic Problems: Theory, Numerics, Applications
ISBN: 3034895372 ISBN-13(EAN): 9783034895378
Издательство: Springer
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Цена: 93160.00 T
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Описание: Numerically oriented articles study finite difference, finite volume, and finite ele- ment schemes, adaptive, multiresolution, and artificial dissipation methods.

Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

Автор: Sergio Albeverio; Michael Demuth; Elmar Schrohe; B
Название: Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations
ISBN: 3034894295 ISBN-13(EAN): 9783034894296
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers in applied mathematics, the theory of wavelets, and in mathematical and theoretical physics. The book is the third volume of the subseries "Advances in Partial Differential Equations".

Nonlinear Hyperbolic Problems

Автор: Claude Carasso; Pierre-Arnaud Raviart; Denis Serre
Название: Nonlinear Hyperbolic Problems
ISBN: 3540182004 ISBN-13(EAN): 9783540182009
Издательство: Springer
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Цена: 32560.00 T
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Описание: Deals with theoretical problems that emerge in the resolution of nonlinear hyperbolic systems than with numerical methods.

Multidimensional Hyperbolic Problems and Computations

Автор: James Glimm; Andrew J. Majda
Название: Multidimensional Hyperbolic Problems and Computations
ISBN: 1461391237 ISBN-13(EAN): 9781461391234
Издательство: Springer
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Цена: 111790.00 T
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Finite Element Analysis of Hyperbolic Cooling Towers

Автор: Seyyed Mohammed Niku
Название: Finite Element Analysis of Hyperbolic Cooling Towers
ISBN: 3540167382 ISBN-13(EAN): 9783540167389
Издательство: Springer
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Цена: 121110.00 T
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Описание: The analysis of thin shells of revolution in general has always occupied an important place in the theory of structures, and recently the problem of hyperbolic cooling towers has attracted many investigators due to the wide use of such shells in industry.

Handbook on Numerical Methods for Hyperbolic Problems,18

Автор: Abgrall, Remi
Название: Handbook on Numerical Methods for Hyperbolic Problems,18
ISBN: 0444639101 ISBN-13(EAN): 9780444639103
Издательство: Elsevier Science
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Цена: 179660.00 T
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Описание: Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations.


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