An Invitation to Hyperbolic Groups, Daniel Peter Groves
Автор: Daniel Peter Groves Название: An Invitation to Hyperbolic Groups ISBN: 3119166812 ISBN-13(EAN): 9783119166812 Издательство: Walter de Gruyter Цена: 26024.00 р. Наличие на складе: Нет в наличии.
Описание: Geometric group theory studies groups as realized as symmetries of metric spaces. One of the most important classes of groups are `hyperbolic groups', the subject of this book. They have a beautiful and robust theory, which is explored from the beginning of the theory right up to the forefront of current research. It will suitable for an advanced graduate class, or for study by those beginning in the field provide a reference for experts and outsiders alike. The book starts from the beginning (at a level appropriate for graduate students just beginning in the field) and works up to somewhere near the current research in the area. The book also provides a valuable reference for experts, as well as mathematicians in other areas hoping to learn something about the field.
Автор: Randall J. LeVeque Название: Finite Volume Methods for Hyperbolic Problems ISBN: 0521009243 ISBN-13(EAN): 9780521009249 Издательство: Cambridge Academ Рейтинг: Цена: 11563.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Grosche Christian Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae ISBN: 9814460079 ISBN-13(EAN): 9789814460071 Издательство: World Scientific Publishing Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: The automorphisms of a two-generator free group $\mathsf F_2$ acting on the space of orientation-preserving isometric actions of $\mathsf F_2$ on hyperbolic 3-space defines a dynamical system.
Автор: Michel Coornaert; Athanase Papadopoulos Название: Symbolic Dynamics and Hyperbolic Groups ISBN: 3540564993 ISBN-13(EAN): 9783540564997 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph elaborates on Gromov`s theory of hyperbolic groups and spaces in relation to symbolic dynamics. Particular attention is paid to the dynamical system defined by the action of a hyperbolic group on its boundary.
Автор: Michael Kapovich Название: Hyperbolic Manifolds and Discrete Groups ISBN: 0817649123 ISBN-13(EAN): 9780817649128 Издательство: Springer Рейтинг: Цена: 11878.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Hyperbolic Manifolds and Discrete Groups is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis.
Автор: Purcell, Jessica S. Название: Hyperbolic knot theory ISBN: 1470454998 ISBN-13(EAN): 9781470454999 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 12289.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Kulikovskii, A.G. , Pogorelov, N.V. , Semenov, A Название: Mathematical Aspects of Numerical Solution of Hyperbolic Systems ISBN: 0367397730 ISBN-13(EAN): 9780367397739 Издательство: Taylor&Francis Рейтинг: Цена: 9798.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides-for the first time in book form-a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical phenomena.
The authors also address a number of original nonclassical problems, such as shock wave propagation in rods and composite materials, ionization fronts in plasma, and electromagnetic shock waves in magnets. They show that if a small-scale, higher-order mathematical model results in oscillations of the discontinuity structure, the variety of admissible discontinuities can exhibit disperse behavior, including some with additional boundary conditions that do not follow from the hyperbolic conservation laws. Nonclassical problems are accompanied by a multiple nonuniqueness of solutions. The authors formulate several selection rules, which in some cases easily allow a correct, physically realizable choice. This work systematizes methods for overcoming the difficulties inherent in the solution of hyperbolic systems. Its unique focus on applications, both traditional and new, makes Mathematical Aspects of Numerical Solution of Hyperbolic Systems particularly valuable not only to those interested the development of numerical methods, but to physicists and engineers who strive to solve increasingly complicated nonlinear equations.
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".
Автор: Abgrall, Remi Название: Handbook on Numerical Methods for Hyperbolic Problems,18 ISBN: 0444639101 ISBN-13(EAN): 9780444639103 Издательство: Elsevier Science Рейтинг: Цена: 26949.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Christian Klingenberg; Michael Westdickenberg Название: Theory, Numerics and Applications of Hyperbolic Problems I ISBN: 3030082725 ISBN-13(EAN): 9783030082727 Издательство: Springer Рейтинг: Цена: 32142.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.
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