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Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae, Grosche Christian


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Цена: 19800.00р.
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Автор: Grosche Christian
Название:  Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae
ISBN: 9789814460071
Издательство: World Scientific Publishing
Классификация:
ISBN-10: 9814460079
Обложка/Формат: Hardback
Страницы: 388
Вес: 0.70 кг.
Дата издания: 18.09.2013
Серия: Mathematics
Язык: English
Издание: 2 revised edition
Иллюстрации: Illustrations
Размер: 232 x 161 x 26
Читательская аудитория: Postgraduate, research & scholarly
Ключевые слова: Mathematical physics, MATHEMATICS / Geometry / Non-Euclidean,SCIENCE / Physics / Mathematical & Computational,SCIENCE / Physics / Quantum Theory
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Поставляется из: Англии
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.


Inside Interesting Integrals

Автор: Nahin, Paul J.
Название: Inside Interesting Integrals
ISBN: 1493912763 ISBN-13(EAN): 9781493912766
Издательство: Springer
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Цена: 5309.00 р.
Наличие на складе: Поставка под заказ.

Описание: What`s the point of calculating definite integrals since you can`t possibly do them all?.What makes doing the specific integrals in this book of value aren`t the specific answers we`ll obtain, but rather the methods we`ll use in obtaining those answers;

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: 11563.00 р.
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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.

Handbook of Brownian motion: facts and  formulae

Автор: A. N Borodin и P. Salminen
Название: Handbook of Brownian motion: facts and formulae
ISBN: 3034894627 ISBN-13(EAN): 9783034894623
Издательство: Springer
Цена: 18167.00 р.
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Описание: There are two parts in this book. The first part is devoted mainly to the proper- ties of linear diffusions in general and Brownian motion in particular. The second part consists of tables of distributions of functionals of Brownian motion and re- lated processes. The primary aim of this book is to give an easy reference to a large number of facts and formulae associated to Brownian motion. We have tried to do this in a "handbook-style." By this we mean that results are given without proofs but are equipped with a reference where a proof or a derivation can be found. It is our belief and experience that such a material would be very much welcome by students and people working with applications of diffusions and Brownian motion. In discussions with many of our colleagues we have found that they share this point of view. Our original plan included more things than we were able to realize. It turned out very soon when trying to put the plan into practice that the material would be too wide to be published under one cover. Excursion theory, which most of the recent results concerning linear Brownian motion and diffusions can be classified as, is only touched upon slightly here, not to mention Brownian motion in several dimensions which enters only through the discussion of Bessel processes. On the other hand, much attention is given to the theory of local time.


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