Mathematical Modelling: Theory and Applications - Böcker
Visar alla böcker i serien Mathematical Modelling: Theory and Applications. Handla med fri frakt och snabb leverans.
50 produkter
50 produkter
Del 1 - Mathematical Modelling: Theory and Applications
Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications
Inbunden, Engelska, 1996
1 892 kr
Skickas inom 10-15 vardagar
The main aim of this text is two-fold. Firstly, it shows engineers why it is useful to deal with, for example, Hilbert spaces, imbedding theorems, weak convergence, monotone operators, compact sets, when solving real-life technical problems. Secondly, mathematicians will see the importance and necessity of dealing with material anisotropy, inhomogeneity, nonlinearity and complicated geometrical configurations of electrical devices, which are not encountered when solving academic examples with the Laplace operator on square or ball domains. Mathematical and numerical analysis of several important technical problems arising in electrical engineering are offered, such as computation of magnetic and electric field, nonlinear heat conduction and heat radiation, semiconductor equations, Maxwell equations and optimal shape design of electrical devices. The reader is assumed to be familiar with linear algebra, real analysis and basic numerical methods. This volume should be of interest to mathematicians and engineers whose work involves numerical analysis, partial differential equations, mathematical modelling and industrial mathematics, or functional analysis.
2 101 kr
Skickas inom 10-15 vardagar
Many dynamical systems in physics, chemistry and biology exhibit complex be haviour. The apparently random motion of a fluid is the best known example. How ever also vibrating structures, electronic oscillators, magnetic devices,lasers, chemical oscillators, and population kinetics can behave in a complicated manner. One can find irregular oscillations, which is now known as chaotic behaviour. The research field of nonlinear dynamical systems and especially the study of chaotic systems has been hailed as one of the important breaktroughs in science this century. The sim plest realization of a system with chaotic behaviour is an electronic oscillator. The purpose of this book is to provide a comprehensive introduction to the application of chaos theory to electronic systems. The book provides both the theoretical and experimental foundations of this research field. Each electronic circuit is described in detail together with its mathematical model. Controlling chaos of electronic oscilla tors is also included. End of proofs and examples are indicated by •. Inside examples the end of proofs are indicated with O. We wish to express our gratitude to Catharine Thompson for a critical reading of the manuscript. Any useful suggestions and comments are welcome. Email address of the first author: MVANWYK@TSAMAIL. TRSA. AC. ZA Email address of the first author: WHS@RAU3. RAU. AC. ZA Home page of the authors: http://zeus. rau. ac. za/steeb/steeb. html xi Chapter 1 Introduction 1.
1 064 kr
Skickas inom 10-15 vardagar
In t.lw fHll of !!)!)2, Professor Dr. M. Alt.ar, chairman of tIw newly established dppartnwnt or Managenwnt. wit.h Comput.er Science at thp Homanian -American Univprsity in Bucharest (a private univprsil.y), inl.roducod in t.he curriculum a course on DiffenHltial Equations and Optimal Cont.rol, asking lIS to teach such course. It was an inter8sting challengo, since for t.Iw first tim8 wo had to t8ach such mathemaLical course for st.udents with economic background and interosts. It was a natural idea to sl.m't by looking at pconomic models which were described by differpntial equations and for which problems in (\pcision making dir! ariso. Since many or such models were r!escribed in discret.e timp, wp eleculed to elpvolop in parallel t.he theory of differential equations anel thaI, of discrete-timo systpms aur! also control theory in continuous and discrete time. Tlw jll'eSPlu book is t.he result of our tpaehing px!wripnce wit.h this courge. It is an enlargud version of t.he actllal lectuf(~s where, depending on t.he background of tho St.lI(\('Ilts, not all proofs could be given in detail. We would like to express our grat.itude to tlw Board of the Romanian - American University, personally 1.0 the Rector, Professor Dr. Ion Smedpscu, for support, encouragement and readinpss to accept advancnd ideas in tho curriculum. fhe authors express t.heir warmest thanks 1.0 Mrs. Monica Stan . Necula for tho oxcellent procC'ssing of t.he manuscript.
Del 4 - Mathematical Modelling: Theory and Applications
Advances in Decision Analysis
Inbunden, Engelska, 1999
1 064 kr
Skickas inom 10-15 vardagar
This book provides a select collection of papers written by experts on multiple criteria decision aid and presented at the International Conference on Methods and Applications of Multiple Criteria Decision Making in May 1997 at Mons in Belgium. It covers methodological aspects of decision theory and comparisons between theoretical approaches to multiple criteria decision making. The material includes choice procedures, Multiple Attribute Utility Theory (MAUT), outranking methods like ELECTRE and PROMETHEE, verbal decision analysis and Data Envelopment Analysis (DEA).
Del 5 - Mathematical Modelling: Theory and Applications
Statistical Process Control in Industry
Implementation and Assurance of SPC
Inbunden, Engelska, 1999
1 064 kr
Skickas inom 10-15 vardagar
One of the central elements of Total Quality Management is Statistical Process Control, more commonly known as SPC. This book describes the pitfalls and traps which businesses encounter when implementing and assuring SPC. The following subjects are discussed: implementation of SPC, activity plan for achieving statistically controlled processes, statistical tools, and lastly, consolidation and improvement of the results. Also, an extensive checklist is provided with which a business can determine to what extent it has succeeded in the actual application of SPC.
Del 6 - Mathematical Modelling: Theory and Applications
Mathematical Modelling
Concepts and Case Studies
Inbunden, Engelska, 1999
536 kr
Skickas inom 10-15 vardagar
This work serves as a general introduction to the area of mathematical modelling. It attempts to present the important fundamental concepts of mathematical modelling and to demonstrate their use in solving certain scientific and engineering problems. The book has the advantage that it deals with both modelling concepts and case studies. The first part considers continuous and discrete modelling, while the second consists of a number of realistic case studies which illustrate the use of the modelling process in the solution of continuous and discrete models.
Del 7 - Mathematical Modelling: Theory and Applications
Nonlinear System Identification — Input-Output Modeling Approach
Volume 1: Nonlinear System Parameter Identification
Inbunden, Engelska, 1999
1 064 kr
Skickas inom 10-15 vardagar
This two-volume handbook presents a comprehensive overview of nonlinear dynamic system identification. The books include many aspects of nonlinear processes: modelling, parameter estimation, structure search, nonlinearity and model validity tests. The book includes not only nonparametric models but also parametric models which include a limited number of parameters. Time domain parameter estimation is dealt with in detail; frequency domain and power spectrum procedures are also included. This work is intended for postgraduate students, researchers and engineers whose work involves nonlinear systems. Many examples, case studies and experimental identifications of real processes have been included.
Del 8 - Mathematical Modelling: Theory and Applications
Sedimentation and Thickening
Phenomenological Foundation and Mathematical Theory
Inbunden, Engelska, 1999
536 kr
Skickas inom 10-15 vardagar
This book presents a rigorous phenomenological theory of sedimentation processes as encountered in Solid--liquid separation vessels, known as thickeners, in the mineral industries. This theory leads to mathematical simulation models for batch and continuous sedimentation processes, which can be stated as initial-boundary value problems of hyperbolic conservation laws and so-called degenerate parabolic equations. Existence and uniqueness theories for these equations are presented, including very recent results, and the most important problems are solved exactly, where possible, or numerical examples are given. A study of thickener design procedures based on these simulation models is presented. The book closes with a review of alternative treatments of thickening, which may not fall within the scope of the mathematical model developed. Audience: This book is intended for students and researchers in applied mathematics and in engineering sciences (metallurgical, chemical, mechanical and civil engineering) and provides self-contained chapters directed to each audience.
Del 9 - Mathematical Modelling: Theory and Applications
Model-Based Decision Support Methodology with Environmental Applications
Inbunden, Engelska, 2000
1 578 kr
Skickas inom 10-15 vardagar
This text develops a decision support methodology for strategic environmental decision problems and provides several generic as well as specific tools. The proposed methodology is based on modelling the underlying physical and economic processing. These substantial models are used for single criterion optimization and for multi-objective model analysis based on the reference point approach. It is shown that in this way, learning and decision processes may be supported, using concepts like soft constraints, inverse simulation and search for compromise solution. The last section consists of four chapters on applications. Each chapter treats an area of environmental decision making: water quality management in river basins, land use planning, cost-effective policies for improving air quality, and energy planning. For each area decision support systems are presented and it is shown how they are used for supporting decision making and negotiations.The applications as well as the methodology presented in this book have been developed at the International Institute for Applied Systems Analysis (IIASA) in Laxenburg, Austria, in close co-operation with several other institutes and organizations. It should be of use to researchers and practitioners in the fields of environmental modelling and analysis, decision support, mathematical programming and political analysis.
Del 10 - Mathematical Modelling: Theory and Applications
FitzHugh-Nagumo Model
Bifurcation and Dynamics
Inbunden, Engelska, 2000
1 276 kr
Skickas inom 10-15 vardagar
This application-oriented monograph presents a comprehensive theoretical and numerical investigation of all types of oscillators and bifurcations (such as Hopf, Bogdanov-Takens, Bautin and homoclinic) generated by the FitzHugh-Nagumo model. The wide diversity of the oscillators as used in electrophysiology, biology and engineering is emphasized. Various asymptotic behaviours are revealed. The dramatic changes in oscillations connected with the emergence or disappearance of concave limit cycles are investigated. Codimension of bifurcations is analyzed. New types of codimension-one and -two bifurcations of planar systems were found. A detailed global bifurcation diagram concludes the work. This volume should be useful to researchers and graduate students whose work involves the mathematics of biology, ordinary differential equations, approximations and expansions, cardiac electrophysiology, biological transport and cell membranes.
Del 11 - Mathematical Modelling: Theory and Applications
Analysis and Control of Age-Dependent Population Dynamics
Inbunden, Engelska, 2000
1 064 kr
Skickas inom 10-15 vardagar
This volume is devoted to some of the most biologically significant control problems governed by continuous age-dependent population dynamics. It investigates the existence, uniqueness, positivity, and asymptotic behaviour of the solutions of the continuous age-structured models. Some comparison results are also established. In the optimal control problems the emphasis is on first order necessary conditions of optimality. These conditions allow the determination of the optimal control or the approximation of the optimal control problem. The exact controllability for some models with diffusion and internal control is also studied. These subjects are treated using new concepts and techniques of modern optimal control theory, such as Clarke's generalized gradient, Ekeland's variational principle, Hamilton-Jacobi equations, and Carleman estimates. A background in advanced calculus and partial differential equations is required.
Del 12 - Mathematical Modelling: Theory and Applications
Mathematical Foundations of Information Retrieval
Inbunden, Engelska, 2001
552 kr
Skickas inom 10-15 vardagar
Background InformationRetrieval (IR) has become, mainly as aresultofthe huge impact of the World Wide Web (WWW) and CD-ROM industry, one of the most important theoretical and practical research topics in Information and Computer Science. Since the inception ofits first theoretical roots about 40 years ago, IR has made avariety ofpractical, experimental and technological advances. It is usually defined as being concerned with the organisation, storage, retrieval and evaluation of information (stored in computer databases) that is likely to be relevant to users' informationneeds (expressed in queries). A huge number ofarticles published in specialisedjournals and at conferences (such as, for example, the Journal of the American Society for Information Science, Information Processing and Management, The Computer Journal, Information Retrieval, Journal of Documentation, ACM TOIS, ACM SIGIR Conferences, etc. ) deal with many different aspects of IR. A number of books have also been written about IR, for example: van Rijsbergen, 1979; Salton and McGill, 1983; Korfhage, 1997; Kowalski, 1997;Baeza-Yates and Ribeiro-Neto, 1999; etc. .IR is typically divided and presented in a structure (models, data structures, algorithms, indexing, evaluation, human-eomputer interaction, digital libraries, WWW-related aspects, and so on) thatreflects its interdisciplinarynature. All theoretical and practical research in IR is ultimately based on a few basic models (or types) which have been elaborated over time. Every model has a formal (mathematical, algorithmic, logical) description of some sort, and these decriptions are scattered all over the literature.
1 064 kr
Skickas inom 10-15 vardagar
This title has the intention of returning the mathematical tools of neural networks to the biological realm of the nervous system, where they originated. It aims to introduce, in a didactic manner, two developments in neural network methodology, namely recurrence in the architecture and the use of spiking or integrate-and-fire neurons. In addition, the neuro-anatomical processes of synapse modification during development, training, and memory formation are discussed as realistic bases for weight-adjustment in neural networks. While neural networks have many applications outside biology, where it is irrelevant precisely which architecture and which algorithms are used, it is essential that there is a close relationship between the network's properties and whatever is the case in a neuro-biological phenomenon that is being modelled or simulated in terms of a neural network. A recurrent architecture, the use of spiking neurons and appropriate weight update rules contribute to the plausibility of a neural network in such a case.Therefore, in the first half of this book the foundations are laid for the application of neural networks as models for the various biological phenomena that are treated in the second half of this book. These include various neural network models of sensory and motor control tasks that implement one or several of the requirements for biological plausibility.
Del 14 - Mathematical Modelling: Theory and Applications
Introduction to Actuarial Mathematics
Inbunden, Engelska, 2002
1 205 kr
Skickas inom 10-15 vardagar
This text has been written primarily as an introduction to the basics of the actuarial mathematics of life insurance. Since it attempts to derive the results in a mathematically rigorous way, the concepts and techniques of one-variable calculus and probability theory have been used throughout. Topics dealt with include important concepts of financial mathematics; the concept of interests; annuities-certain; mortality theory; different types of life insurances; stochastic cash flows in general and pure endowments, whole life and term insurances, endowments, and life annuities in particular; premium calculations; reserves; mortality profit; and negative reserves. The book contains many systematically solved examples showing the practical applications of the theory presented. Solving the problems at the end of each section is essential for understanding the material. Answers to odd-numbered problems are given at the end of the volume. Audience: This work is recommended as a text for a one-semester course or one-year college course at senior level in actuarial mathematics, life insurance, or the mathematics of finance.
Del 15 - Mathematical Modelling: Theory and Applications
Nonlinear Difference Equations
Theory with Applications to Social Science Models
Inbunden, Engelska, 2003
1 064 kr
Skickas inom 10-15 vardagar
This text presents a rare mix of the latest mathematical theory and procedures in the area of nonlinear difference equations and discrete dynamical systems, together with applications of this theory to models in economics and other social sciences. The theoretical results include not only familiar topics on chaos, bifurcation stability and instability of cycles and equilibria, but also some recently published and some as yet unpublished results on these and related topics (for example, the theory of semiconjugates). In addition to rigorous mathematical analysis, the book discusses several social science models and analyzes some of them in substantial detail. This book is of potential interest to professionals and graduate students in mathematics and applied mathematics, as well as researchers in social sciences with an interest in the latest theoretical results pertaining to discrete, deterministic dynamical systems.
1 096 kr
Skickas inom 10-15 vardagar
This work deals with theoretical results for studying Cellular Neural Networks (CNNs) concerning its dynamical behaviour. Aspects of CNNs' applications are developed for modelling of some famous nonlinear partial differential equations arising in biology, genetics, neurophysiology, physics, ecology, and so forth. The analysis of CNNs' models is based on the harmonic balance method well known in control theory and in the study of electronic oscillators. Such phenomena as hysteresis, bifurcation and chaos are studied for CNNs. The topics investigated in the book involve several scientific disciplines, such as dynamical systems, applied mathematics, mathematical modelling, information processing, biology and neurophysiology. The reader will find comprehensive discussion on the subject as well as rigorous mathematical analyses of networks of neurons from the view point of dynamical systems. The text is written as a textbook for senior undergraduate and graduate students in applied mathematics. Providing a summary of up-to-date results on dynamics and modelling of CNNs, the book should also be of interest to all researchers in the area.
Algorithmic Methods in Non-Commutative Algebra
Applications to Quantum Groups
Inbunden, Engelska, 2003
536 kr
Skickas inom 10-15 vardagar
The already broad range of applications of ring theory has been enhanced in the 1980s by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative co-ordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincare-Birkhoff-Witt rings. Included are algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, and so on.
Evolution of Biological Systems in Random Media: Limit Theorems and Stability
Inbunden, Engelska, 2003
536 kr
Skickas inom 10-15 vardagar
The book is devoted to the study of limit theorems and stability of evolving biologieal systems of "particles" in random environment. Here the term "particle" is used broadly to include moleculas in the infected individuals considered in epidemie models, species in logistie growth models, age classes of population in demographics models, to name a few. The evolution of these biological systems is usually described by difference or differential equations in a given space X of the following type and dxt/dt = g(Xt, y), here, the vector x describes the state of the considered system, 9 specifies how the system's states are evolved in time (discrete or continuous), and the parameter y describes the change ofthe environment. For example, in the discrete-time logistic growth model or the continuous-time logistic growth model dNt/dt = r(y)Nt(l-Nt/K(y)), N or Nt is the population of the species at time n or t, r(y) is the per capita n birth rate, and K(y) is the carrying capacity of the environment, we naturally have X = R, X == Nn(X == Nt), g(x, y) = r(y)x(l-xl K(y)) , xE X.Note that n t for a predator-prey model and for some epidemie models, we will have that X = 2 3 R and X = R , respectively. In th case of logistic growth models, parameters r(y) and K(y) normaIly depend on some random variable y.
536 kr
Skickas inom 10-15 vardagar
After Karl Joreskog's first presentation in 1970, Structural Equation Modelling or SEM has become a main statistical tool in many fields of science. It is the standard approach of factor analytic and causal modelling in such diverse fields as sociology, education, psychology, economics, management and medical sciences. In addition to an extension of its application area, Structural Equation Modelling also features a continual renewal and extension of its theoretical background. The sixteen contributions to this book, written by experts from many countries, present important new developments and interesting applications in Structural Equation Modelling. The book addresses methodologists and statisticians professionally dealing with Structural Equation Modelling to enhance their knowledge of the type of models covered and the technical problems involved in their formulation. In addition, the book offers applied researchers new ideas about the use of Structural Equation Modeling in solving their problems. Finally, methodologists, mathematicians and applied researchers alike are addressed, who simply want to update their knowledge of recent approaches in data analysis and mathematical
Foundations of Generic Optimization
Volume 1: A Combinatorial Approach to Epistasis
Inbunden, Engelska, 2005
536 kr
Skickas inom 10-15 vardagar
This book deals with combinatorial aspects of epistasis, a notion that existed for years in genetics and appeared in the ?eld of evolutionary algorithms in the early 1990s. Even thoughthe?rst chapterputsepistasisintheperspective ofevolutionary algorithms and arti?cial intelligence, and applications occasionally pop up in other chapters, thisbookisessentiallyaboutmathematics, aboutcombinatorialtechniques to compute in an e?cient and mathematically elegant way what will be de?ned as normalized epistasis. Some of the material in this book ?nds its origin in the PhD theses of Hugo Van Hove [97] and Dominique Suys [95]. The sixth chapter also contains material that appeared in the dissertation of Luk Schoofs [84]. Together with that of M. Teresa Iglesias [36], these dissertations form the backbone of a decade of mathematical ventures in the world of epistasis. The authors wish to acknowledge support from the Flemish Fund of Scienti?c - search (FWO-Vlaanderen) and of the Xunta de Galicia.They also wish to explicitly mentiontheintellectualandmoralsupporttheyreceivedthroughoutthepreparation of this work from their family and their colleagues Emilio Villanueva, Jose Mar'a Barja and Arnold Beckelheimer, as well as our local T T Xpert Jan Adriaenssens.
536 kr
Skickas inom 10-15 vardagar
... a pure mathematician does what he can do as well as he should, whilst an applied mathematician does what he should do as well as he can... (Gr. C. Moisil Romanian mathematician, 1906-1973) Flows in porous media were initially the starting point for the study which has evolved into this book, because the acquirement and improving of kn- ledge about the analysis and control of water in?ltration and solute spreading arechallenginganddemandingpresentissuesinmanydomains,likesoilsci- ces, hydrology, water management, water quality management, ecology. The mathematical modelling required by these processes revealed from the beg- ning interesting and di?cult mathematical problems, so that the attention was redirected to the theoretical mathematical aspects involved. Then, the qualitative results found were used for the explanation of certain behaviours of the physical processes which had made the object of the initial study and for giving answers to the real problems that arise in the soil science practice. In this way the work evidences a perfect topic for an applied mathematical research. This book was written in the framework of my research activity within the Institute of Mathematical Statistics and Applied Mathematics of the Ro- nianAcademy.SomeresultswereobtainedwithintheprojectCNCSIS33045/ 2004-2006, ?nanced by the Romanian Ministry of Research and Education. In a preliminary form, part of the results included here were lecture notes for master and Ph.D. students during the scienti?c stages (November- December 2003 and May-June 2004) of the author at the Center for Optimal Control and Discrete Mathematics belonging to the Central China Normal University in Wuhan.
1 064 kr
Skickas inom 10-15 vardagar
Dynamical systems with random influences occur throughout the physical, biological, and social sciences. By carefully studying a randomly varying system over a small time interval, a discrete stochastic process model can be constructed. Next, letting the time interval shrink to zero, an Ito stochastic differential equation model for the dynamical system is obtained. This modeling procedure is thoroughly explained and illustrated for randomly varying systems in population biology, chemistry, physics, engineering, and finance. Introductory chapters present the fundamental concepts of random variables, stochastic processes, stochastic integration, and stochastic differential equations. These concepts are explained in a Hilbert space setting which unifies and simplifies the presentation. Computer programs, given throughout the text, are useful in solving representative stochastic problems. Analytical and computational exercises are provided in each chapter that complement the material in the text. Modeling with Itô Stochastic Differential Equations is useful for researchers and graduate students. As a textbook for a graduate course, prerequisites include probability theory, differential equations, intermediate analysis, and some knowledge of scientific programming.
Del 24 - Mathematical Modelling: Theory and Applications
Foundations of Generic Optimization
Volume 2: Applications of Fuzzy Control, Genetic Algorithms and Neural Networks
Inbunden, Engelska, 2007
536 kr
Skickas inom 10-15 vardagar
This is a comprehensive overview of the basics of fuzzy control, which also brings together some recent research results in soft computing, in particular fuzzy logic using genetic algorithms and neural networks. This book offers researchers not only a solid background but also a snapshot of the current state of the art in this field.
1 064 kr
Skickas inom 10-15 vardagar
Following the recent developments in the field of absolute stability, Prof. Xiaoxin Liao, in conjunction with Prof. Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and Lurie control system, before moving on to the simple algebraic sufficient conditions for the absolute stability of autonomous and non-autonomous ODE systems, as well as several special classes of Lurie-type systems. The focus of the book then shifts toward the new results and research that have appeared in the decade since the first edition was published. This book is aimed to be used by undergraduates in the areas of applied mathematics, nonlinear control systems, and chaos control and synchronisation, but may also be useful as a reference for researchers and engineers. The book is self-contained, though a basic knowledge of calculus, linear system and matrix theory, and ordinary differential equations is a prerequisite.
Del 23 - Mathematical Modelling: Theory and Applications
Optimization with PDE Constraints
Inbunden, Engelska, 2008
1 473 kr
Skickas inom 10-15 vardagar
Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci?c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical ?eld of optimization with PDE constraints. The ?rst chapter introduces to the analytical background and optimality theory for optimization problems with PDEs. Optimization problems with PDE-constraints are posed in in?nite dim- sional spaces. Therefore, functional analytic techniques, function space theory, as well as existence- and uniqueness results for the underlying PDE are essential to study the existence of optimal solutions and to derive optimality conditions.
Del 1 - Mathematical Modelling: Theory and Applications
Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications
Häftad, Engelska, 2010
1 892 kr
Skickas inom 10-15 vardagar
The main aim of this book is twofold. Firstly, it shows engineers why it is useful to deal with, for example, Hilbert spaces, imbedding theorems, weak convergence, monotone operators, compact sets, when solving real-life technical problems. Secondly, mathematicians will see the importance and necessity of dealing with material anisotropy, inhomogeneity, nonlinearity and complicated geometrical configurations of electrical devices, which are not encountered when solving academic examples with the Laplace operator on square or ball domains. Mathematical and numerical analysis of several important technical problems arising in electrical engineering are offered, such as computation of magnetic and electric field, nonlinear heat conduction and heat radiation, semiconductor equations, Maxwell equations and optimal shape design of electrical devices. The reader is assumed to be familiar with linear algebra, real analysis and basic numerical methods. Audience: This volume will be of interest to mathematicians and engineers whose work involves numerical analysis, partial differential equations, mathematical modelling and industrial mathematics, or functional analysis.
2 101 kr
Skickas inom 10-15 vardagar
This book gives a comprehensive introduction to the application of nonlinear dynamics to electronic systems, providing both the theoretical and experimental foundations for this research field. All relevant electronic circuits with chaotic behaviour are described and discussed in detail. Audience: The book is suitable for graduate students and researchers whose work involves circuits, control systems, and the mathematics of engineering.
Del 3 - Mathematical Modelling: Theory and Applications
Differential Equations, Discrete Systems and Control
Economic Models
Häftad, Engelska, 2010
1 064 kr
Skickas inom 10-15 vardagar
In t.lw fHll of !!)!)2, Professor Dr. M. Alt.ar, chairman of tIw newly established dppartnwnt or Managenwnt. wit.h Comput.er Science at thp Homanian -American Univprsity in Bucharest (a private univprsil.y), inl.roducod in t.he curriculum a course on DiffenHltial Equations and Optimal Cont.rol, asking lIS to teach such course. It was an inter8sting challengo, since for t.Iw first tim8 wo had to t8ach such mathemaLical course for st.udents with economic background and interosts. It was a natural idea to sl.m't by looking at pconomic models which were described by differpntial equations and for which problems in (\pcision making dir! ariso. Since many or such models were r!escribed in discret.e timp, wp eleculed to elpvolop in parallel t.he theory of differential equations anel thaI, of discrete-timo systpms aur! also control theory in continuous and discrete time. Tlw jll'eSPlu book is t.he result of our tpaehing px!wripnce wit.h this courge. It is an enlargud version of t.he actllal lectuf(~s where, depending on t.he background of tho St.lI(\('Ilts, not all proofs could be given in detail. We would like to express our grat.itude to tlw Board of the Romanian - American University, personally 1.0 the Rector, Professor Dr. Ion Smedpscu, for support, encouragement and readinpss to accept advancnd ideas in tho curriculum. fhe authors express t.heir warmest thanks 1.0 Mrs. Monica Stan . Necula for tho oxcellent procC'ssing of t.he manuscript.
Del 4 - Mathematical Modelling: Theory and Applications
Advances in Decision Analysis
Häftad, Engelska, 2010
1 064 kr
Skickas inom 10-15 vardagar
This book provides a select collection of papers written by experts on multiple criteria decision aid and presented at the International Conference on Methods and Applications of Multiple Criteria Decision Making (May 1997, Mons, Belgium). It covers methodological aspects of decision theory and comparisons between theoretical approaches to multiple criteria decision making. The material includes choice procedures, Multiple Attribute Utility Theory (MAUT), outranking methods like ELECTRE and PROMETHEE, verbal decision analysis and Data Envelopment Analysis (DEA). Audience: This book is mathematically oriented but the results are also of great interest to engineers and economists who design and implement decision support systems in practice. It also contains a sufficient number of examples to make it attractive to non-specialists.
Del 5 - Mathematical Modelling: Theory and Applications
Statistical Process Control in Industry
Implementation and Assurance of SPC
Häftad, Engelska, 2010
1 064 kr
Skickas inom 10-15 vardagar
During the past decade interest in quality management has greatly increased. One of the central elements of Total Quality Management is Statistical Process Control, more commonly known as SPC. This book describes the pitfalls and traps which businesses encounter when implementing and assuring SPC. Illustrations are given from practical experience in various companies. The following subjects are discussed: implementation of SPC, activity plan for achieving statistically controlled processes, statistical tools, and lastly, consolidation and improvement of the results. Also, an extensive checklist is provided with which a business can determine to what extent it has succeeded in the actual application of SPC. Audience: This volume is written for companies which are going to implement SPC, or which need a new impetus in order to get SPC properly off the ground. It will be of interest in particular to researchers whose work involves statistics and probability, production, operation and manufacturing management, industrial organisation and mathematical and quantitative methods.It will also appeal to specialists in engineering and management, for example in the electronic industry, discrete parts industry, process industry, automotive and aircraft industry and food industry.