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Reaction Kinetics: Exercises, Programs and Theorems, T?th


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Автор: T?th
Название:  Reaction Kinetics: Exercises, Programs and Theorems
ISBN: 9781493986415
Издательство: Springer
Классификация:






ISBN-10: 1493986414
Обложка/Формат: Hardcover
Страницы: 469
Вес: 0.87 кг.
Дата издания: 2018
Язык: English
Издание: 1st ed. 2018
Иллюстрации: 80 illustrations, color; 1 illustrations, black and white; xxiv, 469 p. 81 illus., 80 illus. in color.
Размер: 165 x 243 x 33
Читательская аудитория: General (us: trade)
Основная тема: Math. Applications in Chemistry
Подзаголовок: Mathematica for Deterministic and Stochastic Kinetics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Fifty years ago, a new approach to reaction kinetics began to emerge: one based on mathematical models of reaction kinetics, or formal reaction kinetics. Since then, there has been a rapid and accelerated development in both deterministic and stochastic kinetics, primarily because mathematicians studying differential equations and algebraic geometry have taken an interest in the nonlinear differential equations of kinetics, which are relatively simple, yet capable of depicting complex behavior such as oscillation, chaos, and pattern formation.
The development of stochastic models was triggered by the fact that novel methods made it possible to measure molecules individually. Now it is high time to make the results of the last half-century available to a larger audience: students of chemistry, chemical engineering and biochemistry, not to mention applied mathematics. Based on recent papers, this book presents the most important concepts and results, together with a wealth of solved exercises. The book is accompanied by the authors’ Mathematica package, ReactionKinetics, which helps both students and scholars in their everyday work, and which can be downloaded from http://extras.springer.com/ and also from the authors’ websites. Further, the large set of unsolved problems provided may serve as a springboard for individual research.

Дополнительное описание: The General Framework.- The Continuous Time Continuous State Deterministic Model.- The Continuous Time Discrete State Stochastic Model.- Selected Addenda.



Limit Theorems for Stochastic Processes

Автор: Jacod Jean, Shiryaev Albert N.
Название: Limit Theorems for Stochastic Processes
ISBN: 3540439323 ISBN-13(EAN): 9783540439325
Издательство: Springer
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Цена: 18167.00 р.
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Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.

Limit Theorems For Nonlinear Cointegrating Regression

Автор: Wang Qiying
Название: Limit Theorems For Nonlinear Cointegrating Regression
ISBN: 9814675628 ISBN-13(EAN): 9789814675628
Издательство: World Scientific Publishing
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Цена: 15523.00 р.
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Описание: This book provides the limit theorems that can be used in the development of nonlinear cointegrating regression.

C and a-theorems and the local renormalisation group

Автор: Shore, Graham
Название: C and a-theorems and the local renormalisation group
ISBN: 331953999X ISBN-13(EAN): 9783319539997
Издательство: Springer
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Цена: 7685.00 р.
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Описание:

The Zamolodchikov c-theorem has led to important new insights in the understanding of the Renormalisation Group (RG) and the geometry of the space of QFTs. The present primer introduces and reviews the parallel developments of the search for a higher-dimensional generalisation of the c-theorem and of the Local RG (LRG).

The idea of renormalisation with position-dependent couplings, running under local Weyl scaling, is traced from its early realisations to the elegant modern formalism of the LRG. The key r le of the associated Weyl consistency conditions in establishing RG flow equations for the coefficients of the trace anomaly in curved spacetime, and their relation to the c-theorem and four-dimensional a-theorem, is explained in detail.

A number of different derivations of the c-theorem in two dimensions are presented and subsequently generalised to four dimensions. The obstructions to establishing monotonic C-functions related to the trace anomaly coefficients in four dimensions are explained. The possibility of deriving an a-theorem for the coefficient of the Euler-Gauss-Bonnet density is explored, initially by formulating the QFT on maximally symmetric spaces. Then the formulation of the weak a-theorem using a dispersion relation for four-point functions is presented.

Finally, the application of the LRG to the issue of limit cycles in theories with a global symmetry is described, shedding new light on the geometry of the space of couplings in QFT.

Limit Theorems for Multi-Indexed Sums of Random Variables

Автор: Oleg Klesov
Название: Limit Theorems for Multi-Indexed Sums of Random Variables
ISBN: 3662443872 ISBN-13(EAN): 9783662443873
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Applications of the described theory include Gibbs fields, spin glasses, polymer models, image analysis and random shapes.Limit theorems form the backbone of probability theory and statistical theory alike.

Noether`s theorems

Автор: Sardanashvily, Gennadi
Название: Noether`s theorems
ISBN: 946239170X ISBN-13(EAN): 9789462391703
Издательство: Springer
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Цена: 13275.00 р.
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Описание: It presents applications in such area`s as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws.


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