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Fuzzy Differential Equations and Applications for Engineers and Scientists, Chakraverty, Snehashish


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Автор: Chakraverty, Snehashish
Название:  Fuzzy Differential Equations and Applications for Engineers and Scientists
Перевод названия: Чакраварти: Неопределенные дифференциальные уравнения и приложения для инженеров и ученых
ISBN: 9781482244731
Издательство: Taylor&Francis
Классификация:
ISBN-10: 148224473X
Обложка/Формат: Hardback
Страницы: 240
Вес: 0.47 кг.
Дата издания: 21.12.2016
Язык: English
Иллюстрации: 53 tables, black and white; 3 line drawings, black and white; 120 halftones, black and white
Размер: 165 x 240 x 19
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Mathematics, MATHEMATICS / Applied,MATHEMATICS / Differential Equations / General,TECHNOLOGY & ENGINEERING / Mechanical
Основная тема: Mathematics & Statistics for Engineers
Ссылка на Издательство: Link
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Поставляется из: Европейский союз
Описание:

Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations (FDEs). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations.

This unique work?provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.




Differential Equations for Engineers

Автор: Xie
Название: Differential Equations for Engineers
ISBN: 1107632951 ISBN-13(EAN): 9781107632950
Издательство: Cambridge Academ
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Цена: 9504.00 р.
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Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.

Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 8078.00 р.
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Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.

Ordinary Differential Equations with Applications

Автор: Chicone
Название: Ordinary Differential Equations with Applications
ISBN: 0387307699 ISBN-13(EAN): 9780387307695
Издательство: Springer
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Цена: 12577.00 р.
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Описание: A text for a graduate level course in the theory of ordinary differential equations. It contains theory and applications. It links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and abstract algebra.

Integral Equations / Theory and Numerical Treatment

Автор: Hackbusch Wolfgang
Название: Integral Equations / Theory and Numerical Treatment
ISBN: 3764328711 ISBN-13(EAN): 9783764328719
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Volterra and Fredholm integral equations form the domain of this book. Special chapters are devoted to Abel's integral equations and the singular integral equation with the Cauchy kernel; others focus on the integral equation method and the boundary element method (BEM). While a small section affords some theoretical grounding in integral equations (covering existence, regularity, etc.), the larger part of the book is devoted to a description and analysis of the discretisation methods (Galerkin / collocation / NystrГ¶m). Also the multigrid method for the solution of discrete equations is analysed. The most prominent application of integral equations occurs in the use of the boundary element method, which here is discussed from the numerical point of view in particular. New results about numerical integration and the panel clustering technique are included. Many chapters have an introductory character, while special subsections give more advanced information. Intended readers are students of mathematics as well as postgraduates.

Dynamics of Evolutionary Equations

Автор: Sell George R., You Yuncheng
Название: Dynamics of Evolutionary Equations
ISBN: 0387983473 ISBN-13(EAN): 9780387983479
Издательство: Springer
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Цена: 21661.00 р.
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Описание: The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations which attempt to model phenomena that change with time, and the infinite dimensional aspects occur when forces that describe the motion depend on spatial variables. This book may serve as an entree for scholars beginning their journey into the world of dynamical systems, especially infinite dimensional spaces. The main approach involves the theory of evolutionary equations. It begins with a brief essay on the evolution of evolutionary equations and introduces the origins of the basic elements of dynamical systems, flow and semiflow.

Stochastic Integration and Differential Equations / Second Edition, Version 2.1

Автор: Protter Philip E.
Название: Stochastic Integration and Differential Equations / Second Edition, Version 2.1
ISBN: 3540003134 ISBN-13(EAN): 9783540003137
Издательство: Springer
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Цена: 11878.00 р.
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Описание: Includes the proof of the fundamental Doob-Meyer decomposition theorem. This book contains the more general version of the Girsanov theorem due to Lenglart and martingale representation, including both the Jacod-Yor theory and Emery`s examples of martingales that actually have martingale representation.

Acoustic and Electromagnetic Equations / Integral Representations for Harmonic Problems

Автор: Nedelec Jean-Claude
Название: Acoustic and Electromagnetic Equations / Integral Representations for Harmonic Problems
ISBN: 0387951555 ISBN-13(EAN): 9780387951553
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This self-contained book is devoted to the study of the acoustic wave equations and the Maxwell system, the two most common waves equations that are encountered in physics or in engineering. It presents a detailed analysis of their mathematical and physical properties. In particular, the author focuses on the study of the harmonic exterior problems, building a mathematical framework which provides the existence and uniqueness of the solutions. Acoustic and electromagnetic waves underlie a vast range of modern technology from sonar, radio, and television to microwave heating and electromagnetic compatibility analysis. Mathematical modeling of these waves has undergone considerable growth in recent years, and this timely book, written by a leading international researcher, presents the research in a careful and complete way.

Galois Theory of Linear Differential Equations

Автор: Van der Put Marius , Singer Michael F.
Название: Galois Theory of Linear Differential Equations
ISBN: 3540442286 ISBN-13(EAN): 9783540442288
Издательство: Springer
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Цена: 13969.00 р.
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Описание: Linear differential equations form the central topic of this volume, Galois theory being the unifying theme.A large number of aspects are presented: algebraic theory especially differential Galois theory, formal theory, classification, algorithms to decide solvability in finite terms, monodromy and Hilbert's 21st problem, asymptotics and summability, the inverse problem and linear differential equations in positive characteristic. The appendices aim to help the reader with concepts used, from algebraic geometry, linear algebraic groups, sheaves, and tannakian categories that are used. This volume will become a standard reference for all mathematicians in this area of mathematics, including graduate students.

An Introduction to Partial Differential Equations

Автор: Renardy Michael, Rogers Robert C.
Название: An Introduction to Partial Differential Equations
ISBN: 0387004440 ISBN-13(EAN): 9780387004440
Издательство: Springer
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Цена: 10335.00 р.
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Описание: Partial differential equations are fundamental to the modeling of natural phenomena. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics. This book aims to provide the background to initiate work on a PhD thesis in PDEs for beginning graduate students.

Applications of Lie Groups to Differential Equations

Автор: Olver
Название: Applications of Lie Groups to Differential Equations
ISBN: 0387950001 ISBN-13(EAN): 9780387950006
Издательство: Springer
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Цена: 6841.00 р.
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Описание: A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. Following an exposition of the applications, the book develops the underlying theory, with many of the topics presented in a novel way, emphasising explicit examples and computations.

Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 9077.00 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).

Partial Differential Equations I

Автор: Taylor
Название: Partial Differential Equations I
ISBN: 1441970541 ISBN-13(EAN): 9781441970541
Издательство: Springer
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Цена: 13969.00 р.
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Описание: The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.


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