Approximations and Endomorphism Algebras of Modules: Volume 1 – Approximations / Volume 2 – Predictions, Rudiger Gobel, Jan Trlifaj
Автор: Rudiger Gobel, Jan Trlifaj Название: Approximations and Endomorphism Algebras of Modules: Volume 1 – Approximations / Volume 2 – Predictions ISBN: 3110218100 ISBN-13(EAN): 9783110218107 Издательство: Walter de Gruyter Цена: 358270.00 T Наличие на складе: Невозможна поставка. Описание: This second, revised and substantially extended edition of Approximations and Endomorphism Algebras of Modules reflects both the depth and the width of recent developments in the area since the first edition appeared in 2006. The new division of the monograph into two volumes roughly corresponds to its two central topics, approximation theory (Volume 1) and realization theorems for modules (Volume 2). It is a widely accepted fact that the category of all modules over a general associative ring is too complex to admit classification. Unless the ring is of finite representation type we must limit attempts at classification to some restricted subcategories of modules. The wild character of the category of all modules, or of one of its subcategories C, is often indicated by the presence of a realization theorem, that is, by the fact that any reasonable algebra is isomorphic to the endomorphism algebra of a module from C. This results in the existence of pathological direct sum decompositions, and these are generally viewed as obstacles to classification. In order to overcome this problem, the approximation theory of modules has been developed. The idea here is to select suitable subcategories C whose modules can be classified, and then to approximate arbitrary modules by those from C. These approximations are neither unique nor functorial in general, but there is a rich supply available appropriate to the requirements of various particular applications. The authors bring the two theories together. The first volume, Approximations, sets the scene in Part I by introducing the main classes of modules relevant here: the S-complete, pure-injective, Mittag-Leffler, and slender modules. Parts II and III of the first volume develop the key methods of approximation theory. Some of the recent applications to the structure of modules are also presented here, notably for tilting, cotilting, Baer, and Mittag-Leffler modules.In the second volume, Predictions, further basic instruments are introduced: the prediction principles, and their applications to proving realization theorems. Moreover, tools are developed there for answering problems motivated in algebraic topology. The authors concentrate on the impossibility of classification for modules over general rings. The wild character of many categories C of modules is documented here by the realization theorems that represent critical R-algebras over commutative rings R as endomorphism algebras of modules from C. The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory.
Автор: Oksana Banna, Yuliya Mishura, Kostiantyn Ralchenko Название: Fractional Brownian Motion: Approximations and Projections ISBN: 1786302608 ISBN-13(EAN): 9781786302601 Издательство: Wiley Рейтинг: Цена: 146730.00 T Наличие на складе: Невозможна поставка. Описание:
This monograph studies the relationships between fractional Brownian motion (fBm) and other processes of more simple form. In particular, this book solves the problem of the projection of fBm onto the space of Gaussian martingales that can be represented as Wiener integrals with respect to a Wiener process. It is proved that there exists a unique martingale closest to fBm in the uniform integral norm. Numerical results concerning the approximation problem are given. The upper bounds of distances from fBm to the different subspaces of Gaussian martingales are evaluated and the numerical calculations are involved. The approximations of fBm by a uniformly convergent series of Lebesgue integrals, semimartingales and absolutely continuous processes are presented.
As auxiliary but interesting results, the bounds from below and from above for the coefficient appearing in the representation of fBm via the Wiener process are established and some new inequalities for Gamma functions, and even for trigonometric functions, are obtained.
Автор: Daniel K. Molzahn, Ian A. Hiskens Название: A Survey of Relaxations and Approximations of the Power Flow Equations ISBN: 1680835408 ISBN-13(EAN): 9781680835403 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 88710.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Provides the first comprehensive survey of representations in the context of optimization. To achieve this the power flow representations surveyed are categorized as either relaxations or approximations. The techniques described form the basis of running an optimally efficient modern day power system.
Автор: H. Werner; H.J. B?nger Название: Pade Approximations and its Applications ISBN: 354013364X ISBN-13(EAN): 9783540133643 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Hastings Cecil, Wayward Jeanne T., Wong James P. Название: Approximations for Digital Computers ISBN: 0691653100 ISBN-13(EAN): 9780691653105 Издательство: Wiley Рейтинг: Цена: 100320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Numerical analysts and computer operators in all fields will welcome this publication in book form of Cecil Hastings' well-known approximations for digital computers, formerly issued in loose sheets and available only to a limited number of specialists. In a new method that combines judgment and intuition with mathematics, Mr. Hasting has evolved a set of approximations which far surpasses in simplicity earlier approximations developed by conventional methods. Part I of this book introduces the collection of useful and illustrative approximations, each of which is presented with a carefully drawn error curve in Part II.
Originally published in 1955. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Автор: R.W. Bilger; Mitchell D. Smooke; H.K. Chelliah; J. Название: Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane-Air Flames ISBN: 3662138549 ISBN-13(EAN): 9783662138540 Издательство: Springer Рейтинг: Цена: 78350.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: In this comprehensive text a systematic numerical and analytical treatment of the procedures for reducing complicated systems to a simplified reaction mechanism is presented.
Автор: Umberto Zannier Название: On Some Applications of Diophantine Approximations ISBN: 8876425195 ISBN-13(EAN): 9788876425196 Издательство: Springer Рейтинг: Цена: 24230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel`s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel`s proof have appeared, but none seem to faithfully reproduce all features of the original one.
Автор: Govindan T. E. Название: Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications ISBN: 3319833472 ISBN-13(EAN): 9783319833477 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Preface.- Notations and Abbreviations.- Introduction and Motivating Examples.- Mathematical machinery.- Yosida Approximations of Stochastic Differential Equations.- Yosida Approximations of Stochastic Differential Equations with Jumps.- Applications to Stochastic Stability.- Applications to Stochastic Optimal Control.- Appendix A: Nuclear and Hilbert-Schmidt Operators.- Appendix B: Multivalued Maps.- Appendix C: Maximal Monotone Operators.- Appendix D: The Duality Mapping.- Appendix E: Random Multivalued Operators.- Bibliographical Notes and Remarks.- Bibliography.
Автор: Saldi, Naci. Название: Finite approximations in discrete-time stochastic control : ISBN: 3319790323 ISBN-13(EAN): 9783319790329 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems.
This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.
Автор: Naci Saldi; Tam?s Linder; Serdar Y?ksel Название: Finite Approximations in Discrete-Time Stochastic Control ISBN: 3030077101 ISBN-13(EAN): 9783030077105 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
In a unified form, this monograph presents fundamental results on the approximation of centralized and decentralized stochastic control problems, with uncountable state, measurement, and action spaces. It demonstrates how quantization provides a system-independent and constructive method for the reduction of a system with Borel spaces to one with finite state, measurement, and action spaces. In addition to this constructive view, the book considers both the information transmission approach for discretization of actions, and the computational approach for discretization of states and actions. Part I of the text discusses Markov decision processes and their finite-state or finite-action approximations, while Part II builds from there to finite approximations in decentralized stochastic control problems.
This volume is perfect for researchers and graduate students interested in stochastic controls. With the tools presented, readers will be able to establish the convergence of approximation models to original models and the methods are general enough that researchers can build corresponding approximation results, typically with no additional assumptions.
Автор: Changpin Li, Min Cai Название: Theory and Numerical Approximations of Fractional Integrals and Derivatives ISBN: 1611975875 ISBN-13(EAN): 9781611975871 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 76910.00 T Наличие на складе: Поставка под заказ. Описание: Due to its ubiquity across a variety of fields in science and engineering, fractional calculus has gained momentum in industry and academia. While a number of books and papers introduce either fractional calculus or numerical approximations, no current literature provides a comprehensive collection of both topics. This monograph introduces fundamental information on fractional calculus and provides a detailed treatment of existing numerical approximations.Theory and Numerical Approximations of Fractional Integrals and Derivatives presents an inclusive review of fractional calculus in terms of theory and numerical methods and systematically examines almost all existing numerical approximations for fractional integrals and derivatives. The authors consider the relationship between the fractional Laplacian and the Riesz derivative, a key component absent from other related texts, and highlight recent developments, including their own research and results.The book’s core audience spans several fractional communities, including those interested in fractional partial differential equations, the fractional Laplacian, and applied and computational mathematics. Advanced undergraduate and graduate students will find the material suitable as a primary or supplementary resource for their studies.
Автор: Laurent Gosse Название: Computing Qualitatively Correct Approximations of Balance Laws ISBN: 8847028914 ISBN-13(EAN): 9788847028913 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book book explores the ways that elaborate flux functions can be constructed, mainly in a one-dimensional context for hyperbolic systems admitting shock-type solutions and also for kinetic equations in the discrete-ordinate approximation.
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