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Mathematical Models and Their Analysis, Frederic Y.M. Wan


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Автор: Frederic Y.M. Wan
Название:  Mathematical Models and Their Analysis
ISBN: 9781611975260
Издательство: Mare Nostrum (Eurospan)
Классификация:

ISBN-10: 1611975263
Обложка/Формат: Paperback
Страницы: 402
Вес: 0.36 кг.
Дата издания: 30.05.2018
Серия: Classics in applied mathematics
Язык: English
Размер: 229 x 152
Читательская аудитория: Professional and scholarly
Ключевые слова: Mathematical modelling
Основная тема: Mathematical modelling
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Поставляется из: Англии
Описание: A great deal can be learned through modeling and mathematical analysis about real-life phenomena, even before numerical simulations are used to accurately portray the specific configuration of a situation. Scientific computing also becomes more effective and efficient if it is preceded by some preliminary analysis. These important advantages of mathematical modeling are demonstrated by models of historical importance in an easily understandable way.The organization of Mathematical Models and Their Analysis groups models by the issues that need to be addressed about the phenomena. The new approach shows how mathematics effective for one modeled phenomenon can be used to analyze another unrelated problem. For instance, the mathematics of differential equations useful in understanding the classical physics of planetary models, fluid motion, and heat conduction is also applicable to the seemingly unrelated phenomena of traffic flow and congestion, offshore sovereignty, and regulation of overfishing and deforestation. The formulation and in-depth analysis of these and other models on modern social issues, such as the management of exhaustible and renewable resources in response to consumption demands and economic growth, are of increasing concern to students and researchers of our time.The modeling of current social issues typically starts with a simple but meaningful model that may not capture all the important elements of the phenomenon. Predictions extracted from such a model may be informative but not compatible with all known observations; so the model may require improvements. The cycle of model formulation, analysis, interpretation, and assessment is made explicit for the modeler to repeat until a model is validated by consistency with all known facts.
Дополнительное описание: Mathematical modelling


A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions

Автор: H.J. Greenberg
Название: A Computer-Assisted Analysis System for Mathematical Programming Models and Solutions
ISBN: 0792393228 ISBN-13(EAN): 9780792393221
Издательство: Springer
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Цена: 213360.00 T
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Описание: ANALYZE is a computer-assisted analysis system for mathematical programming models and solution called ANALYZE. It is designed to provide computer assistance for analyzing linear programs and their solutions. This book includes the exercises that show how to use ANALYZE to retrieve information.

Mathematical Models of Financial Derivatives

Автор: Kwok Yue-Kuen
Название: Mathematical Models of Financial Derivatives
ISBN: 3540422889 ISBN-13(EAN): 9783540422884
Издательство: Springer
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Цена: 83850.00 T
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Описание: Mathematical Models of Financial Derivatives is a textbook on the theory behindmodeling derivatives and their risk management, focussing on the valuationprinciples that are common to most derivative securities. A wide range offinancial derivatives commonly traded in the equity and fixed income markets areanalyzed, emphasizing on aspects of pricing, hedging and practical usage. Thereaders are guided through the text on new advances in analytic techniques andnumerical methods for solving various types of derivative pricing models. Inthis second edition, more emphasis has been placed on the discussion of Itocalculus and Girsanov's Theorem; and in particular, the concepts of risk neutralmeasure and equivalent martingale pricing approach. A new chapter on credit riskmodels and pricing of credit derivatives has been added. Most recent researchresults and concepts are made accessible to the readers through extensive, wellthought out exercises at the end of each chapter.

Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid

Автор: Ivan A. Lukovsky
Название: Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid
ISBN: 3110555360 ISBN-13(EAN): 9783110555363
Издательство: Walter de Gruyter
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Цена: 25970.00 T
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Описание: This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities partly filled by liquid.

Method Of Lines Analysis Of Turing Models

Автор: Schiesser William E
Название: Method Of Lines Analysis Of Turing Models
ISBN: 9813226692 ISBN-13(EAN): 9789813226692
Издательство: World Scientific Publishing
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Цена: 81310.00 T
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Описание:

This book is directed toward the numerical integration (solution) of a system of partial differential equations (PDEs) that describes a combination of chemical reaction and diffusion, that is, reaction-diffusion PDEs. The particular form of the PDEs corresponds to a system discussed by Alan Turing and is therefore termed a Turing model.

Specifically, Turing considered how a reaction-diffusion system can be formulated that does not have the usual smoothing properties of a diffusion (dispersion) system, and can, in fact, develop a spatial variation that might be interpreted as a form of morphogenesis, so he termed the chemicals as morphogens.

Turing alluded to the important impact computers would have in the study of a morphogenic PDE system, but at the time (1952), computers were still not readily available. Therefore, his paper is based on analytical methods. Although computers have since been applied to Turing models, computer-based analysis is still not facilitated by a discussion of numerical algorithms and a readily available system of computer routines.

The intent of this book is to provide a basic discussion of numerical methods and associated computer routines for reaction-diffusion systems of varying form. The presentation has a minimum of formal mathematics. Rather, the presentation is in terms of detailed examples, presented at an introductory level. This format should assist readers who are interested in developing computer-based analysis for reaction-diffusion PDE systems without having to first study numerical methods and computer programming (coding).

The numerical examples are discussed in terms of: (1) numerical integration of the PDEs to demonstrate the spatiotemporal features of the solutions and (2) a numerical eigenvalue analysis that corroborates the observed temporal variation of the solutions. The resulting temporal variation of the 2D and 3D plots demonstrates how the solutions evolve dynamically, including oscillatory long-term behavior.

In all of the examples, routines in R are presented and discussed in detail. The routines are available through this link so that the reader can execute the PDE models to reproduce the reported solutions, then experiment with the models, including extensions and application to alternative models.


Elements of Mathematical Ecology

Автор: Kot, Mark,
Название: Elements of Mathematical Ecology
ISBN: 0521001501 ISBN-13(EAN): 9780521001502
Издательство: Cambridge Academ
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Цена: 91860.00 T
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Описание: An introduction to classical and modern mathematical models, methods, and issues in population ecology. Includes numerous line diagrams, relevant problems and supplementary mathematical and historical material that enhances understanding.

Linear Mathematical Models In Chemical Engineering

Автор: Martin A Hjortso
Название: Linear Mathematical Models In Chemical Engineering
ISBN: 9812794158 ISBN-13(EAN): 9789812794154
Издательство: World Scientific Publishing
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Цена: 111930.00 T
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Описание: Reviews, introduces, and develops the mathematics that is encountered in sophisticated chemical engineering models. This book provides coverage of chemical engineering model formulation and analysis. It serves as an introduction to linear mathematics for engineering students.

Sequential Models of Mathematical Physics

Автор: Serovajsky
Название: Sequential Models of Mathematical Physics
ISBN: 1138601039 ISBN-13(EAN): 9781138601031
Издательство: Taylor&Francis
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Цена: 117390.00 T
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Описание: In Sequential Models of Mathematical Physics, the author considers the justification of the process of constructing mathematical models.

Mathematical Biology II: Spatial Models and Biomedical Applications, 3 ed.

Автор: Murray, J.D.
Название: Mathematical Biology II: Spatial Models and Biomedical Applications, 3 ed.
ISBN: 0387952284 ISBN-13(EAN): 9780387952284
Издательство: Springer
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Цена: 111790.00 T
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Описание: This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences.

Mathematical Biology I. An Introduction

Автор: Murray, James D.
Название: Mathematical Biology I. An Introduction
ISBN: 1475777094 ISBN-13(EAN): 9781475777093
Издательство: Springer
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Цена: 65210.00 T
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Описание: Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others.

Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues

Автор: Wan Frederic Y M
Название: Dynamical System Models In The Life Sciences And Their Underlying Scientific Issues
ISBN: 9813143703 ISBN-13(EAN): 9789813143708
Издательство: World Scientific Publishing
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Цена: 72870.00 T
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Описание:

oadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).

Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.


Mathematical Models in the Applied Sciences, (Cambridge Texts in Applied Mathematics) 1st Edition

Автор: A.C. Fowler
Название: Mathematical Models in the Applied Sciences, (Cambridge Texts in Applied Mathematics) 1st Edition
ISBN: 0521467039 ISBN-13(EAN): 9780521467032
Издательство: Cambridge Academ
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Цена: 76030.00 T
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Описание: Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.

Mathematical Methods and Models in Economic Planning, Management and Budgeting

Автор: Galimkair Mutanov
Название: Mathematical Methods and Models in Economic Planning, Management and Budgeting
ISBN: 3662451417 ISBN-13(EAN): 9783662451410
Издательство: Springer
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Цена: 121110.00 T
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Описание: This book describes a system of mathematical models and methods that can be used to analyze real economic and managerial decisions and to improve their effectiveness.


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