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Book SynopsisWiley-Interscience Series in Discrete Mathematics and Optimization Advisory Editors Ronald L. Graham Jan Karel Lenstra Robert E. Tarjan Discrete Mathematics and Optimization involves the study of finite structures. It is one of the fastest growing areas in mathematics today. The level and depth of recent advances in the area and the wide applicability of its evolving techniques point to the rapidity with which the field is moving from its beginnings to maturity and presage the ever-increasing interaction between it and computer science. The Series provides a broad coverage of discrete mathematics and optimization, ranging over such fields as combinatorics, graph theory, enumeration, mathematical programming and the analysis of algorithms, and including such topics as Ramsey theory, transversal theory, block designs, finite geometries, Polya theory, graph and matroid algorithms, network flows, polyhedral combinatorics and computational complexity. The Wiley - Interscience Series in DiscTable of ContentsSIMULATED ANNEALING. Combinatorial Optimization. Simulated Annealing. Asymptotic Convergence. Finite-Time Approximation. Simulated Annealing in Practice. Parallel Simulated Annealing Algorithms. BOLTZMANN MACHINES. Neural Computing. Boltzmann Machines. Combinatorial Optimization and Boltzmann Machines. Classification and Boltzmann Machines. Learning and Boltzmann Machines. Appendix. Bibliography. Indices.

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Book SynopsisThis volume provides a thorough account of key basic concepts and theoretical results, with particular emphasis on viewing statistical inference as a special case of decision theory. It presents a novel discussion of model comparison and choice from a Bayesian perspective.Table of ContentsFoundations. Generalisations. Modelling. Inference. Remodelling. Appendices. References. Indexes.

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Book SynopsisMechanics Second Edition P. Smith Department of Mathematics University of Keele, UK and R.C. Smith Open University, UK A revised and updated edition of the authors' highly successful earlier book, this introductory text on Mechanics is designed to give a thorough grounding in particle dynamics and elementary rigid body dynamics.Table of ContentsVectors. Kinematics: Geometry of Motion. Principles of Mechanics. Applications in Particle Dynamics. Work and Energy. Variable Mass Problems: Rocket Motion. Mechanical Oscillations: Linear Theory. Orbits. Non-Linear Dynamics. Rotating Frames of Reference. Appendix. Answers and Comments on the Exercises. Further Reading. Index.

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Book SynopsisThe Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media Second Edition Roland W. Lewis, University of Wales Swansea, UK Bernard A.Table of ContentsMechanics of Saturated and Partially Saturated Porous Media. Numerical Solution for Isothermal Consolidation. Solid-Phase Constitutive Relationships, Variable Permeabilities and Solution Procedures. Verification of Elastic and Elastoplastic Consolidation Programs. Modelling Subsidence: Numerical Aspects and Problems of Regional Scale. Modelling Subsidence: Case Studies. Modelling Three-Phase Flow in Deforming Saturated Oil Reservoirs. Fractured Reservoir Simulation. Heat and Fluid Flow in Deforming Porous Media. Secondary Consolidation Creep in Solids. Soil-Structure Interaction. Back Analysis in Consolidation. Large-Strain Quasi-Static and Dynamic Soil Behaviour. Subject Index.

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Book SynopsisDetails the basic theory of polynomial and fractional representation methods for algebraic analysis and synthesis of linear multivariable control systems. It also serves as a self-contained treatise of the mathematical theory so that results and techniques of the ``state space approaches'''' for regular and singular systems appear as special cases of a general theory covering the wider class of PMDs of linear systems. Among the topics covered are: real rational vector spaces and rational matrices, pole and zero structure of rational matrices at infinity, proper and omega stable rational fuctions and matrices.Table of ContentsReal Rational Vector Spaces and Rational Matrices. Polynomial Matrix Models of Linear Multivariable Systems. Pole and Zero Structure of Rational Matrices at Infinity. Dynamics of Polynomial Matrix Models. Proper and Omega-Stable Rational Functions and Matrices. Feedback System Stability and Stabilization. Some Algebraic Design Problems. Notations. Appendices. Index.

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Book SynopsisNumerical Methods for Ordinary Differential Systems The Initial Value Problem J.D. Lambert Professor of Numerical Analysis University of Dundee Scotland In 1973 the author published a book entitled Computational Methods in Ordinary Differential Equations.Table of ContentsBackground Material. Introduction to Numerical Methods. Linear Multistep Methods. Predictor-Corrector Methods. Runge-Kutta Methods. Stiffness: Linear Stability Theory. Stiffness: Nonlinear Stability Theory. References. Index.

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Book SynopsisFrom its initial publication this book has been the standard text on the subject. Since then there has been a continuing high level of activity, and work has developed in all major areas. This third edition reflects the latest state of knowledge with fully revised and extended coverage of all topics. Additional topics and new emphases are presented and a richer coverage of practical fields and computer-based facilities, together with a fully updated reference list, are provided.Trade Review"It is an extremely well written and thought provoking classical book about outliers." (Journal of Statistical Computation and Simulation, January 2006)Table of ContentsPartial table of contents. BASIC PRINCIPLES. Why Do Outlying Observations Arise and What Should One Do AboutThem? The Accommodation Approach: Robust Estimation and Testing. UNIVARIATE DATA. Accommodation Procedures for Univariate Samples. Specific Discordancy Tests for Outliers in UnivariateSamples. MULTIVARIATE AND STRUCTURED DATA. Outliers in Multivariate Data. The Outlier Problem for Structured Data: Regression, the LinearModel and Designed Experiments. SPECIAL TOPICS. Bayesian Approaches to Outliers. Outliers in Time Series: An Important Area of Outlier Study. Outliers in Directional Data. Appendix. References and Bibliography. Index.

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Book SynopsisDecision-aid Philippe Vincke Université Libre de Bruxelles Over the past decade the discipline of multicriteria decision-aid has been extensively developed in the world of mathematics. As its name indicates, multicriteria decision-aid aims to give decision-makers a tool which should enable them to advance in solving decision problems where several points of view must be taken into account. Written by one of the leading authorities in the field, this book provides a unique introduction to the foundations, models and methods of multicriteria decision-aid. Challenging the monocriteria decision-aid approach to problem solving, Vincke presents us with a unique book which deals with preference modelling, the multiple attribute utility theory, the outranking approach and interactive decision-making methods in the same text. Multicriteria Decision-aid is directed at graduates and postgraduates studying in the fields of management, operations research, decision analysis and all those who, in buTable of ContentsThe Set of Actions. Preference Modeling. The Basic Concepts of Multicriteria Decision-Aid. Multiple Attribute Utility Theory. Outranking Methods. Interactive Methods. Miscellaneous Questions. Bibliography. Index to Main Subject Areas.

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Book SynopsisIn Part I the reader is introduced to the methods of measuring the fractal dimension of irregular geometric structures. Part II demonstrates important modern methods for the statistical analysis of random shapes. The statistical theory of point fields, with and without marks, is introduced in Part III. Each of the three sections concentrates on the mathematical ideas, rather than detailed proofs, and can be read independently.Table of ContentsFRACTALS AND METHODS FOR THE DETERMINATION OF FRACTALDIMENSIONS. Hausdorff Measure and Dimension. Deterministic Fractals. Random Fractals. Methods for the Empirical Determination of Fractal Dimension. THE STATISTICS OF SHAPES AND FORMS. Fundamental Concepts. Representation of Contours. Set Theoretic Analysis. Point Description of Figures. Examples. POINT FIELD STATISTICS. Fundamentals. Finite Point Fields. Poisson Point Fields. Fundamentals of the Theory of Point Fields. Statistics for Homogeneous Point Fields. Point Field Models. Appendices. References. Index.

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Book SynopsisCovering deterministic scheduling, stochastic scheduling, and the probabilistic analysis of algorithms, this unusually broad view of the subject brings together tutorials, surveys and articles with original results from foremost international experts. The contributions reflect the great diversity in scheduling theory in terms of academic disciplines, applications areas, fundamental approaches and mathematical skills. This book will help researchers to be aware of the progress in the various areas of specialization and the possible influences that this progress may have on their own specialities. Few disciplines are driven so much by continually changing and expanding technology, a fact that gives scheduling a permanence while adding to the excitement of designing and analyzing new systems. The book will be a vital resource for researchers and graduate students of computer science, applied mathematics and operational research who wish to remain up-to-date on the scheduling models and prTable of ContentsPartial table of contents: Computing Near-Optimal Schedules (J. Lenstra & D.Shmoys). A Tutorial in Stochastic Scheduling (G. Weiss). Scheduling with Communication Delays: A Survey (P. Chretienne &C. Picouleau). Profile Scheduling by List Algorithms (Z. Liu & E.Sanlaville). Real-Time Scheduling of Periodic Tasks (C. Chaouiya, et al.). Some Graph Coloring Models for Cyclic Scheduling (D. de Werra &P. Solot). Transforming Cyclic Scheduling Problems into Acyclic Ones (F.Gasperoni & U. Schwiegelshohn). Application of Majorization to Control Problems in Queueing Systems(D. Towsley). Dynamic Routing and Sequencing in Open Queueing Networks (C.Laws). Indexes.

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Book SynopsisThis textbook aims to clarify the links between statistics and computerized data analysis when applying the scientific method of enquiry to geography. It explains basic statistical techniques and demonstrates their application in geographical data analysis.Table of ContentsPartial table of contents: The Nature of Geographical Data. Inputting Geographical Data on to the Computer. STATISTICAL ANALYSIS I. Descriptive Statistics. STATISTICAL ANALYSIS II. An Introduction to Hypothesis Testing. An Overview of Probability Distributions. STATISTICAL ANALYSIS III. Spatial Statistics. Appendices. References and Selected Bibliography. Index.

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Book SynopsisThe arguments in this fascinating, interdisciplinary book are wide-ranging, running the gamut from company management to the nature of consciousness. The author discusses the theory of team syntegrity and the social technique of syntegration which works in practice, offering a potent management tool for developmental planning.Table of ContentsTHE STORY OF AN ORGANIZATIONAL IDEA. A Long Gestation. On Protocols. Path-Finding Experiments. The Academic Milieu. The Corporate Scene. In the Community. ENHANCING PROCEDURES. Protocols Revisited. Vexed Questions of Allocation. Developmental Planning. Governance or Government?. THE FORM OF THE MODEL. The Structure of Icosahedral Space. The Dynamics of Icosahedral Space. Self-Reference in Icosahedral Space. EPILOGUE. The Concept of Recursive Consciousness. COLLABORATORS' SURPLUS. Reverberating Networks: Modelling Information Propagation inSyntegration by Spectral Analysis (A. Jalali). From Prototype to Protocol: Design for Doing (J. Truss). Pliny the Later: Elective Selection (J. Hancock). You Drive for Show but You Putt for Dough: A Facilitator'sPerspective (A. Pearson). One Man's Signal Is Another Man's Noise: Another Facilitator'sPerspective (D. Beatty). About Face: A Turn for Better Planning (J. Truss). The Very Model of a Modern System-General: How the Viable SystemModel Actually Works (A. Leonard). References. Index.

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Book SynopsisOffering a new perspective on a growing field, the text explores the many hardware implications of fuzzy logic based circuits. As use of AI increases, so the VLSI area of circuits is becoming a growth subject. The text surveys fuzzy set theory before moving on to cover a range of nonstandard solutions for fuzzy logic VLSI circuits. An overview of future trends is included plus practical examples from the authors'' research which will enhance the reader''s understanding of the topic. This is the first book on hardware aspects of fuzzy systems which offers a mixture of classical work and the authors'' new perspective.Table of ContentsFuzzy Sets in Approximate Reasoning: A Personal View. FUZZY LOGIC CONTROL. Fuzzy Logic Control: A systematic Design and Performance Assessment Methodology. On the Compatibility of Fuzzy Control and Conventional Control Techniques. On the Crisp-Type Fuzzy Controller: Behaviour Analysis and Improvement. FUZZY LOGIC HARDWARE IMPLEMENTATIONS. Design Considerations of Digital Fuzzy Logic Controllers. Parallel Algorithm for Fuzzy Logic Controller. Fuzzy Flip-Flop. Design Automation of Fuzzy Logic Circuits. HYBRID SYSTEMS AND APPLICATIONS. Neuro-Fuzzy Systems: Hybrid Configurations. A Fuzzy Logic Approach to Handwriting Recognition. Index.

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Book SynopsisThis book includes an introduction to some important reliability concepts and a review of terminology. The work is divided into three sections: modelling, evaluation and assurance.Table of ContentsPartial table of contents: FUNDAMENTALS. Reliability Physics and Failure Mechanisms. Statistical Distributions. MODELLING. The Load-Strength Concept. Intrinsic Reliability - The Generic Case. Extrinsic Reliability. EVALUATION. Lifetesting. Field Failure Data Analysis. Reliability Prediction of Electronic Equipment. ASSURANCE. Reliability Screening: Burn-in. Reliability Indicator Screening. Appendices. Index.

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Book SynopsisPresents new and up--dated material on both the underlying theory and the practical methodology of directional statistics, helping the reader to utilise and develop the techniques appropriate to their work. The book is divided into three parts. The first part concentrates on statistics on the circle.Trade Review"This book provides essential material that is very timely and interesting and provides an excellent treatise on the theory, methodology, and applications of directional and axial statistics." (Technometrics, November 2008) "This book has been written as a drastic revision and major extension to Statistics of Directional Data. It is a worthy successor to that book and will surely become the definitive reference on this subject are for many years." (Short Book Reviews, Vol. 20, No. 3, December 2000) "The text will be an invaluable source of reference for researchers and practitioners alike working with directional data..." (The Statistician, Vol. 50, 2001) "...a highly valuable and nicely written contribution" (Statistics and Decisions, Vol 19/2, 2001) "In coverage and presentation, the current book dominates...the starting place for anyone wanting to make inferences using directional data or wishing to pursue research in this area." (Mathematical Reviews, 2003b)Table of ContentsI: Circular data; 2. Summary Statistics; 3 Basic Concepts and Models; 4 Fundamental Theorems and Distribution Theory; 5 Point Estimation; 6 Tests of Uniformity and Tests of Goodness-of-Fit; 7. Tests on von Mises Distributions 8 Non-parametric Methods 9 Distributions on Spheres 10 Inference on Spheres 11 Correlation and Regression 12 Modern Methodology 13 General Sample Spaces 14 Shape Analysis

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Book SynopsisChange-point problems arise in a variety of experimental andmathematical sciences, as well as in engineering and healthsciences. This rigorously researched text provides a comprehensivereview of recent probabilistic methods for detecting various typesof possible changes in the distribution of chronologically orderedobservations. Further developing the already well-establishedtheory of weighted approximations and weak convergence, the authorsprovide a thorough survey of parametric and non-parametric methods,regression and time series models together with sequential methods.All but the most basic models are carefully developed with detailedproofs, and illustrated by using a number of data sets. Contains athorough survey of: * The Likelihood Approach * Non-Parametric Methods * Linear Models * Dependent Observations This book is undoubtedly of interest to all probabilists andstatisticians, experimental and health scientists, engineers, andessential for those wTrade Review"This book is suitable for Ph.D. students who wish to establish a solid grounding in the field, and researchers who need a reliable reference to precisely formulated results and their proofs. The book contains a very extensive list of references reading into the late 1990's." (Mathematical Reviews, 2011)Table of ContentsThe Likelihood Approach. Nonparametric Methods. Linear Models. Dependent Observations. Appendix. References. Indexes.

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Book SynopsisThe author presents the argument that it is the trade-off between the irregular, chaotic dynamics at the level of populations and the spatio-temporal organization at the level of the system as a whole that shapes ecological systems. This book combines the topics of theoretical analysis, natural science, philosophy and fundamental ecology in a synthetic treatment. Outlines a coherent framework to delineate the internal structure of ecological networks along the dimensions of time, space and function in the network context. Introduces mathematical tools to describe and quantify the functional importance of spatial and temporal patterns in ecological networks for ecosystem organization.Table of ContentsSetting the Stage. Ideas of Stability and Equilibrium in Ecological Thought. Evolution and Ecology. Spatio-Temporal Organization. (Spatio-) Temporal Organization in Simple Communities. On How to Delineate the Structure of Ecological Networks. Attempt at a Synthesis and Some Speculations. Appendices. References. Index.

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Book SynopsisRecent books in the Wiley Series in Probability and Statistics Editors Vic Barnett J. Stuart Hunter David W. Scott Geoffrey S. Watson Ralph A. Bradley Joseph B. Kadane Adrian F.M. Smith Nicholas I. Fisher David G. Kendall Jozef L. Teugels Stochastic Geometry and Its Applications Second Edition Dietrich Stoyan, TU Bergakademie Freiberg, Germany Wilfrid S. Kendall, University of Warwick, UK Joseph Mecke, Friedrich-Schiller-Universitat Jena, Germany This standard text makes the results and methods of stochastic geometry and spatial statistics accessible to practitioners and non-theoreticians. The book is also ideal as an introduction to the subject for mathematicians. The exposition is mathematically precise and takes into account the latest results, but in many cases proofs are omitted. Topics covered include the basic theories of point processes, random sets, fibre and surface processes, random tessellations, stereology and the statistical theory of shape. The theory is illustrated by mTable of ContentsThe Scope of Assessment (H. Goldstein & T. Lewis). Assessment: Some Historical Perspectives (G. Sutherland). Assessment and Learning: Power or Partnership (P. Broadfoot)? Statistical and Psychometric Models for Assessment (H.Goldstein). Defining, Setting and Maintaining Standards in Curriculum-EmbeddedExaminations: Judgemental and Statistical Approaches (M.Cresswell). Group Differences and Bias in Assessment (H. Goldstein). Moderation Procedures and the Maintenance of Assessment Standards(T. Lewis). Errors in Grading and Forensic Issues in Higher Education (D.McLay). The Use of Assessment to Compare Institutions (J. Gray). The Statistical Analysis of Institution-Based Data (G. Woodhouse& H. Goldstein). The Extent and Growth of the Educational Testing in the UnitedStates: 1956-1994 (G. Madaus & A. Raczek). The Integrity of Public Examinations in Developing Countries (V.Greaney & T. Kellaghan). Large-Scale Assessment Programmes in Different Countries andInternational Comparisons (L. McLean). Vocational Assessment (A. Wolf). Assessment in the Workplace. (R. Vincent). References. Index.

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Book SynopsisThe concept of a system as an entity in its own right has emergedwith increasing force in the past few decades in, for example, theareas of electrical and control engineering, economics, ecology,urban structures, automaton theory, operational research andindustry. The more definite concept of a large-scale system isimplicit in these applications, but is particularly evident infields such as the study of communication networks, computernetworks and neural networks. The Wiley-Interscience Series inSystems and Optimization has been established to serve the needs ofresearchers in these rapidly developing fields. It is intended forworks concerned with developments in quantitative systems theory,applications of such theory in areas of interest, or associatedmethodology. This is the first book-length treatment of risk-sensitive control,with many new results. The quadratic cost function of the standardLQG (linear/quadratic/Gaussian) treatment is replaced by theexponential of a quadratTable of ContentsBASICS. Deterministic Models. Stochastic Models. BEYOND. Risk-Sensitive and H infinity Criteria. Time-Integral Methods and Optimal Stationary Policies. Near-Determinism and Large Deviation Theory. Appendices. References. Index.

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Book SynopsisFollowing on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Much of the material presented in this book has come to the fore in recent years.Table of ContentsMathematical Background. Review of Fractal Geometry. Some Techniques for Studying Dimension. Cookie-cutters and Bounded Distortion. The Thermodynamic Formalism. The Ergodic Theorem and Fractals. The Renewal Theorem and Fractals. Martingales and Fractals. Tangent Measures. Dimensions of Measures. Some Multifractal Analysis. Fractals and Differential Equations. References. Index.

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Book SynopsisThis monograph covers basic theoretical results and differing methods for calculating probability and quantile functions. It compares numerical algorithms for the solution of stochastic programming problems with probabilistic objectives.Table of ContentsStochastic Programming Models with Probability and QuantileObjective Functions. Basic Properties of Probabilistic Problems. Estimates and Bounds for Probabilities and Quantiles. Methods and Algorithms for Solving Probabilistic Problems. Notation List. Index.

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Book SynopsisFuzzy set theory is a mathematical structure for representing uncertainty. Modern intelligent systems must combine knowledge based on techniques for gathering and processing information with methods of approximate reasoning. This enables an intelligent system to better emulate human decision-making in uncertain environments.Table of ContentsGetting Started. Fuzzy Set Theory. Possibility/Probability Consistency Principle. Knowledge Representation. Imprecision and Fuzzy Logic. Knowledge Processing. Knowledge in FEST. Inference Engine. The Fuzzy Inference Engine. Fuzzy Inference in FEST. References. Index.

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Book SynopsisStochastic Processes for Insurance and Finance offers a thorough yet accessible reference for researchers and practitioners of insurance mathematics. Building on recent and rapid developments in applied probability, the authors describe in general terms models based on Markov processes, martingales and various types of point processes. Discussing frequently asked insurance questions, the authors present a coherent overview of the subject and specifically address: The principal concepts from insurance and finance Practical examples with real life data Numerical and algorithmic procedures essential for modern insurance practices Assuming competence in probability calculus, this book will provide a fairly rigorous treatment of insurance risk theory recommended for researchers and students interested in applied probability as well as practitioners of actuarial sciences. Wiley Series in Probability and StatisticsTrade Review"...an excellent text..." -- Australian & New Zealand Journal of StatisticsTable of ContentsTable of Contents: Concepts from Insurance and Finance. Probability Distributions. Premiums and Ordering of Risks. Distributions of Aggregate Claim Amount. Risk Processes. Renewal Processes and Random Walks. Markov Chains. Continuous-Time Markov Models. Martingale Techniques I. Martingale Techniques II. Piecewise Deterministic Markov Processes. Point Processes. Diffusion Models. Distribution Tables. References. Index.

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Book SynopsisClearly written and free of statistical jargon, this invaluable guide concentrates on the practicalities of statistical analysis for anyone involved with agricultural research. Each section starts with the key points, giving a quick reference to the contents and plenty of examples using a reala data.Table of ContentsAcknowledgements INTRODUCTION Notation A little history Population versus samples PLANNING Formulating the idea Defining objectives Defining the population Formulating hypotheses Hypothesis testing Anticipating treatment differences DESIGN Variables Choosing the treatments Constraints Replication Blocking Randomization Covariants Confounding TRIAL STRUCTURE Considerations Single-treatment factor designs Multi-treatment factor designs Some other designs DATA ENTRY AND EXPLORATION Data entry Data Data checking Data exploration ANALYTICAL TECHNIQUES Parametric techniques Non-parametric techniques Comparison of parametric and non-parametric techniques OTHER STATISTICAL TECHNIQUES Multivariate analysis Time series analysis ASPECTS OF COMPUTING APPENDICES Glossary of Statistical Terms Analysis of Variance Formulae INDEX

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Book SynopsisThe concepts of epidemiology, the science that uses statistical methods to investigate associations between risk factors and disease outcomes in human populations, are developed using examples involving real data from published studies.Table of ContentsEpidemiological Research. Statistical Methods I. Statistical Methods II. Mantel-Haenzel Methods. Logistic Regression. Logistic Regression II. Survival Analysis. Matching. Sample Size. Appendix. Index.

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Book SynopsisStatistics in Practice A new series of practical books outliningthe use of statistical techniques in a wide range of applicationareas: Human and Biological Sciences Earth and Environmental Sciences Industry, Commerce and Finance The authors of this important text explore the processes throughwhich archaeologists analyse their data and how these can be mademore rigorous and effective by sound statistical modelling. Theyassume relatively little previous statistical or mathematicalknowledge. Introducing the idea underlying the Bayesian approach tothe statistical analysis of data and their subsequentinterpretation, the authors demonstrate the major advantage of thisapproach, i.e. that it allows the incorporation of relevant priorknowledge or beliefs into the analysis. By doing so it provides alogical and coherent way of updating beliefs from those held beforeobserving the data to those held after taking the data intoaccount. To illustrTable of ContentsThe Bayesian Approach to Statistical Archaeology. Outline of the Approach. Modelling in Archaeology. Quantifying Uncertainty: The Probability Concept. Statistical Modelling. Bivariate and Multivariate Distributions. Bayesian Inference. Implementation Issues. Interpretation of Radiocarbon Results. Spatial Analysis. Sourcing and Provenancing. Application to Other Dating Methods. The Way Forward. References. Index.

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Book SynopsisQuarternionic calculus covers a branch of mathematics which uses computational techniques to help solve problems from a wide variety of physical systems which are mathematically modelled in 3, 4 or more dimensions. Examples of the application areas include thermodynamics, hydrodynamics, geophysics and structural mechanics. Focusing on the Clifford algebra approach the authors have drawn together the research into quarternionic calculus to provide the non-expert or research student with an accessible introduction to the subject. This book fills the gap between the theoretical representations and the requirements of the user.Table of ContentsQuanternions and Multivectors. Clifford Valued Functions and Forms. Clifford Operator Calculus. Boundary Value Problems. Numerical Clifford Analysis. Further Results and Research Problems. Appendices. Index.

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Book SynopsisThe aim of this book is to suggest and exemplify a systematic methodology for analysing survival data which contains immune, or cured individuals, denoted generically as long-term survivors. Such data occurs in medical and epidemiological applications, where the intention may be to identify whether or not cured or immune individuals are present in a population, perhaps as a result of treatments given; in the analysis of recidivism data in criminology, where the intentions are similar with respect to prisoners released from and possibly returning to prison; and in many other areas where followup data is available on individuals, with the possibility that not all suffer the event under investigation. Both nonparametric and parametric methods are proposed and developed. The effects of covariate information can be assessed via a kind of generalised linear framework in the parametric analyses. The proposed methodologies are supported by asymptotic analyses and simulations of real situationsTrade Review"The book contains an admirable blend of theory and practice beingclearly explained and illustrated with realistic examples ofsurvival analyses from medical and criminological studies." "...an introduction to the analysis of survival data..." (Quarterlyof Applied Mathematics, Vol. LVIII, No. 4,December 2000)Table of ContentsFormulating Tests for the Presence of Immunes and SufficientFollow-up. Properties of the Kaplan-Meier Estimator. Nonparametric Estimation and Testing. Parametric Models for Single Samples. The Use of Concomitant Information. Large Sample Properties of Parametric Models: Single Samples. Large-Sample Properties of Parametric Models with Covariates. Further Topics. References. Statistical Tables. Index.

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Book SynopsisProviding a unified coverage of the latest research and applications methods and techniques, this book is devoted to two interrelated techniques for solving some important problems in machine intelligence and pattern recognition, namely probabilistic reasoning and computational learning. The contributions in this volume describe and explore the current developments in computer science and theoretical statistics which provide computational probabilistic models for manipulating knowledge found in industrial and business data. These methods are very efficient for handling complex problems in medicine, commerce and finance. Part I covers Generalisation Principles and Learning and describes several new inductive principles and techniques used in computational learning. Part II describes Causation and Model Selection including the graphical probabilistic models that exploit the independence relationships presented in the graphs, and applications of Bayesian networks to multivariate statisticTable of ContentsPartial table of contents: GENERALISATION PRINCIPLES AND LEARNING. Structure of Statistical Learning Theory (V. Vapnik). MML Inference of Predictive Trees, Graphs and Nets (C.Wallace). Probabilistic Association and Denotation in Machine Learning ofNatural Language (P. Suppes & L. Liang). CAUSATION AND MODEL SELECTION. Causation, Action, and Counterfactuals (J. Pearl). Efficient Estimation and Model Selection in Large Graphical Models(D. Wedelin). BAYESIAN BELIEF NETWORKS AND HYBRID SYSTEMS. Bayesian Belief Networks and Patient Treatment (L. Meshalkin &E. Tsybulkin). DECISION-MAKING, OPTIMIZATION AND CLASSIFICATION. Axioms for Dynamic Programming (P. Shenoy). Extreme Values of Functionals Characterizing Stability ofStatistical Decisions (A. Nagaev). Index.

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Book SynopsisIncluding contributions from leading experts in the field, this book covers applications and developments of heuristic search methods for solving complex optimization problems. The book covers various local search strategies including genetic algorithms, simulated annealing, tabu search and hybrids thereof.Table of ContentsPartial table of contents: Modern Heuristic Techniques. TECHNIQUES. Localized Simulated Annealing in Constraint Satisfaction andOptimization. Observing Logical Interdependencies in Tabu Search: Methods andResults. Reactive Search: Toward Self-Tuning Heuristics. Integrating Local Search into Genetic Algorithms. CASE STUDIES. Local Search for Steiner Trees in Graphs. Local Search Strategies for the Vehicle Fleet Mix Problem. A Tabu Search Algorithm for Some Discrete-Continuous SchedulingProblems. The Analysis of Waste Flow Data from Multi-Unit IndustrialComplexes Using Genetic Algorithms. The Evolution of Solid Object Designs Using GeneticAlgorithms. The Convoy Movement Problem with Initial Delays. A Brief Comparison of Some Evolutionary Optimization Methods. Index.

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Book SynopsisThe discovery of the Fractional Fourier Transform and its role in optics provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. Easily-accessible, the reference work will serve as the standard reference on Fourier Transforms for many years to come.Trade Review"...[the authors] explain the basic concepts from various perspectives and survey its application in two areas where it is widely used." (SciTech Book News, Vol. 25, No. 4, December 2001)Table of ContentsPreface. Acknowledgments. Introduction. Signals, Systems, and Transformations. Wigner Distributions and Linear Canonical Transforms. The Fractional Fourier Transform. Time-Order and Space-Order Representations. The Discrete Fractional Fourier Transform. Optical Signals and Systems. Phase-Space Optics. The Fractional Fourier Transform in Optics. Applications of the Fractional Fourier Transform to Filtering, Estimation, and Signal Recovery. Applications of the Fractional Fourier Transform to Matched Filtering, Detection, and Pattern Recognition. Bibliography on the Fractional Fourier Transform. Other Cited Works. Credits. Index.

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Book SynopsisRenormalization analysis reveals how microscopic mechanisms can organize themselves to produce macroscopic consequences. These techniques are applied in various fields of physics, from phase transitions and magnetic systems, to dynamical systems, percolation and fractal structures, random walks, and polymers.Table of ContentsPrinciples and Physical Framework. A Comparative Study of Two Typical Examples. Mathematical Aspects. Statistical Mechanics. Dynamical Systems and Chaos. Stochastic Diffusion. Fractal Structures. Appendices. Bibliography. Index.

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Book SynopsisThe first book to provide a comprehensive treatment integrating finite-time thermodynamics and optimal control, giving an overview of important breakthroughs in the last 20 years. It presents a survey of the optimization technique, including the basics of optimal control theory, and the principal thermodynamic concepts and equations.Table of ContentsMathematical Modeling of Thermodynamic Systems. Optimization Methods. Optimal Control Methods. Limiting Possibilities of Heat-Mechanical Systems with One Reservoir. Heat-Exchange Processes with Minimal Dissipation. Optimization and Estimates of the Limiting Possibilities of Heat-Mechanical Systems with a Number of Reservoirs. Limiting Possibilities of Complex Systems with a Number of Heat-Mechanical Systems. Mass Transfer Processes with Minimal Irreversibility. Thermodynamic Analysis of Separation Processes and Chemical Reactions. Commodity Exchange in Economic Systems. Bibliography. Index.

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Book Synopsis"Numerical Analysis of Ordinary Differential Equations."Trade Review“I enjoyed reading this book. It is well written and quite approachable.” (Mathematical Reviews, 2004c) "…covers now all the material that is modern standard in this field… belongs into any mathematical library..." (Zentralblatt Math, Vol.1040, No.09, 2004) Table of ContentsPreface. 1. Differential and Difference Equations. 10. Differential Equation Problems. 11. Differential Equation Theory. 12. Difference Equation Problems. 13. Difference Equation Theory. 2. Numerical Differential Equation Methods. 20. The Euler Method. 21. Analysis of the Euler Method. 22. Generalizations of the Euler Method. 23. Runge-Kutta Methods. 24. Linear Multistep Methods. 25. Taylor Series Methods. 26. Hybrid Methods. 3. Runge-Kutta Methods. 30. Preliminaries. 31. Order Conditions. 32. Low Order Explicit Methods. 33. Runge-Kutta Methods with Error Estimates. 34. Implicit Runge-Kutta Methods. 35. Stability of Implicit Runge-Kutta Methods. 36. Implementable Implicit Runge-Kutta Methods. 37. Order Barriers. 38. Algebraic Properties of Runge-Kutta Methods. 39. Implementation Issues. 4. Linear Multistep Methods. 40. Preliminaries. 41. The Order of Linear Multistep Methods. 42. Errors and Error Growth. 43. Stability Characteristics. 44. Order and Stability Barriers. 45. One-leg Methods and G-stability. 46. Implementation Issues. 5. General Linear Methods. 50. Representing Methods in General Linear Form. 51. Consistency, Stability and Convergence. 52. The Stability of General Linear Methods. 53. The Order of General Linear Methods. 54. Methods with Runge-Kutta Stabiulity. References. Index.

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Book SynopsisWith applications in pattern recognition, data compression and numerical analysis, the wavelet transform is a key area of modern mathematics that brings new approaches to the analysis and synthesis of signals. This book presents the central issues and emphasizes comparison, assessment and how to combine method and application. It reviews different approaches to guide researchers to appropriate classes of techniques.Table of ContentsPreface ix Notation xi Introduction xv 1 The Continuous Wavelet Transform 1 1.1. Definition and Elementary Properties 1 1.2 Affine Operators 10 1.3 Filter Properties of the Wavelet Transform 12 1.4 Approximation Properties 22 1.5 Decay Behaviour 32 1.6 Group-Theoretical Foundations and Generalizations 36 1.7 Extension of the One-Dimensional Wavelet Transform to Sobolev Spaces 59 Exercises 69 2 The Discrete Wavelet Transform 73 2.1 Wavelet Frames 73 2.2 Multiscale Analysis 97 2.3 Fast Wavelet Transform 121 2.4 One-Dimensional Orthogonal Wavelets 131 2.5 Two-Dimensional Orthogonal Wavelets 203 Exercises 226 3 Applications of the Wavelet Transform 231 3.1 Wavelet Analysis of One-Dimensional Signals 231 3.2 Quality Control of Texture 235 3.3 Data Compression in Digital Image Processing 239 3.4 Regularization of Inverse Problems 251 3.5 Wavelet – Galerkin Methods for Two-Point boundary Value Problems 259 3.6 Schwarz Iterations Based on Wavelet Decompositions 278 3.7 An Outlook on Two-Dimensional Boundary Value Problems 300 Exercises 306 Appendix The Fourier Transform 309 References 313 Index 321

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Book SynopsisThis book systematically studies upwind methods for initial value problems for scalar conservation laws in one- and multidimensions. The mathematical theory of convergence theory and of a priori error estimates is presented in detail for structure (finite difference methods) as well as for unstructured grids (finite volume methods).Table of ContentsInitial Value Problems for Scalar Conservation Laws in 1-D. Initial Value Problems for Scalar Conservation Laws in 2-D. Initial Value Problems for Systems in 1-D. Initial Value Problems for Systems of Conservation Laws in 2-D. Initial Boundary Value Problems for Conservation Laws. Convection-Dominated Problems. List of Figures. References. Index.

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Book SynopsisPioneered by David Kendall, the statistical theory of shape is an emerging area generating considerable interest for statisticians, engineers, and computer scientists. Co--written by Dr. Kendall, this volume presents a coherent theory of shape developed from Kendalla s own approach known as static and kinematic theory.Trade Review"This is a fascinating book mixing geometry, topology and probability theory..." (London Mathematical Society Bulletin, Vol 32, 2000) "The potential value that his volume should have to researchers in many areas for years to come." (Short Book Reviews, August 2000) "I would like to conclude this review by strongly recommending that geodists have this book on desk within ready reach of hands" (Journal of Geodesy, Vol. 75, 2001) "...a mathematical jewel..." (Mathematical Reviews, 2003g)Table of ContentsShapes and Shape Spaces. The Global Structure of Shape Spaces. Computing the Homology of Cell Complexes. A Chain Complex for Shape Spaces. The Homology Groups of Shape Spaces. Geodesics in Shape Spaces. The Riemannian Structure of Shape Spaces. Induced Shape-Measures. Mean Shapes and the Shape of the Means. Visualising the Higher Dimensional Shape Spaces. General Shape Spaces. Appendix. Bibliography. Index.

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Book SynopsisOffers an introduction in Applied Statistics focusing on some of the statistics of today''s society--world wide population growth, economic developments, international trade and energy consumption, global maldistribution of income and absorption of resources, depletion of species and resources, environmental changes, and human problems.Table of ContentsThe Global Situation. Primary and Secondary Magnitudes. Ratios. Percentages. The Arithmetic Mean. Time Series. The Distribution of World Product. Indices. The Population Explosion. Regression and Correlation. Frequency Distributions. Bringing It All Together. Bibliography. Index.

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Book SynopsisMatrices are used in many fields such as statistics, econometrics, mathematics, natural sciences and engineering. They provide a concise, simple method for describing long and complicated computations. This is a comprehensive handbook and dictionary of terms for matrix theory.Table of ContentsDefinitions, Notations, Terminology. Rules for Matrix Operations. Matrix Valued Functions of a Matrix. Trace, Determinant and Rank of a Matrix. Eigenvalues and Singular Values. Matrix Decompositions and Canonical Forms. Vectorization Operators. Vector and Matrix Norms. Properties of Special Matrices. Vector and Matrix Derivatives. Polynomials, Power Series and Matrices. Appendix. References. Index.

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Book SynopsisRecent increasing awareness of the ways in which vibrational effects can affect low-gravity experiments have renewed interest in the study of thermal vibrational convection across a wide range of fields.Table of ContentsBasic Equations: Mechanical "Quasi-equilibrium" and ItsStability. Plane-Parallel Flows and Their Stability. Non-linear Problems. Internal Heat Sources. Vibrations of Finite Frequencies. Thermovibrational Convection in the General Case of ArbitraryVibrations. The Problem of Boundary Conditions. The Second-order Effects. Some Particular Problems. Index.

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Book SynopsisThis book presents ordinary differential equations based on Lie group analysis and related invariance principles. The author provides students and teachers with a text for one-semester undergraduate and graduate courses that spans a variety of topics, from the basic theory through to applications.Trade Review"…this is the first self-contained university text on ordinary differential equations…" (Zentralblatt Math, Vol.1047, No.22, 2004)Table of ContentsIntroduction to Differential Equations. Transformation Groups. Lie Group Analysis of Ordinary Differential Equations. Brief on Lie Algebras. First Order Differential Equations. Integration of Second Order Equations. Basic Theory of Linear Equations. Nonlinear Second Order Equations. Integration of Third Order Equations. Nonlinear Superposition Principle. Index.

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Book SynopsisAs algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Grobner Bases is one topic which has recently become a very popular and important area of modern algebra.Table of ContentsRings. Fields, and Ideals. Monomial Ideals. Gröbner Bases. Algebraic Sets. Primary Decomposition of Ideals. Solving Systems of Polynomial Equations. Applications of Gröbner Bases. Homogeneous Algebras. Projective Varieties. The Associated Graded Ring. Hilbert Series. Variations of Gröbner Bases. Improvements to Buchberger's Algorithm. Software. Hints to Some Exercises. Answers to Exercises. Bibliography. Index.

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Book SynopsisThis text focuses on the issue of non-linear modelling of high frequency financial data. Non-linearity refers to situations in which there is a high degree of apparent randomness to the way in which a particular financial measure, price, interest rate, or exchange rate moves with time.Table of ContentsHIGH FREQUENCY MODELS IN FINANCE: MOTIVATIONS AND THEORETICAL ISSUES. Modelling with High Frequency Data: A Growing Interest for Financial Economists and Fund Managers (M. Gavridis). High Frequency Foreign Exchange Rates: Price Behavior Analysis and 'True Price' Models (J. Moody & L. Wu). DETECTING NONLINEARITIES IN HIGH FREQUENCY DATA: EMPIRICAL TESTS AND MODELLING IMPLICATIONS. Testing Linearity with Information-Theoretic Statistics and the Bootstrap (F. Acosta). Testing for Linearity: A Frequency Domain Approach (J. Drunat, et al.). Stochastic or Chaotic Dynamics in High Frequency Financial Data (D. Guégan & L. Mercier). F-consistency, De-volatization and Normalization of High Frequency Financial Data (B. Zhou). PARAMETRIC MODELS FOR NONLINEAR FINANCIAL TIME SERIES. High Frequency Financial Time Series Data: Some Stylized Facts and Models of Stochastic Volatility (E. Ghysels, et al.). Modelling Short-term Volatility with GARCH and HARCH Models (M. Dacorogna, et al.). High Frequency Switching Regimes: A Continuous-time Threshold Process (R. Dacco' & S. Satchell). Modelling Burst Phenomena: Bilinear and Autoregressive Exponential Models (J. Drunat, et al.). NON-PARAMETRIC MODELS FOR NONLINEAR FINANCIAL TIME SERIES. Application of Neural Networks to Forecast High Frequency Data: Foreign Exchange (P. Bolland, et al.). An Application of Genetic Algorithms to High Frequency Trading Models: A Case Study (C. Dunis, et al.). High Frequency Exchange Rate Forecasting by the Nearest Neighbours Method (H. Alexandre, et al.). Index.

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Book SynopsisThis text shows how stochastic geometry can be applied to real structural problems in materials science and technology. It pays particular attention to describing spatial sizes and shapes of grains and particles, developments in stochastic geometry, and relevant computer simulation techniques.Trade Review"...provides many examples...comprehensive discussions...an introduction to the analysis of two-dimensional and three-dimensional microscopic images...references are comprehensive..." (Short Book Reviews, Vol. 21, No. 2, August 2001) "There is no book I know in our own field that deals with the subject in anything like the depth and breadth as this one does." (European Journal of Soil Science, No. 52 2001) "It can be expected that this unusually careful work will soon be acknowledged as an authoritative treatment, and certainly it will remain a major reference of applied stereology in the next two decades at least. Scientific and technical libraries should have multiple copies available." (Ceramics, Vol.45 No.3, 2001) "...an ideal textbook for a one-semester course...also an excellent reference book..." (Technometrics, February 2002)Table of ContentsDedication to Günter Bach. Preface. Series Preface. Acknowledgements. List of Notation. List of Source Codes. Introduction. Methodological Tools. Statistical Estimation of Basic Characteristics. Basic Characteristics and Digitalization. Covariance and Spectral Density. Size Distribution of Spherical Particles. Nonspherical Particles of Constant Shape. Size-Shape Distribution of Particles. Arrangement of Objects. Single-Phase Polyhedral Microstructures. Appendix A: Characteristics of Geometric Objects. Appendix B: Software Utilities. References. Index.

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Book SynopsisIncorporating recent developments in control and systems research,Linear Control Theory provides the fundamental theoreticalbackground needed to fully exploit control system design software.This logically-structured text opens with a detailed treatment ofthe relevant aspects of the state space analysis of linear systems.End-of-chapter problems facilitate the learning process byencouraging the student to put his or her skills into practice.Features include: * The use of an easy to understand matrix variational technique todevelop the time-invariant quadratic and LQG controllers * A step-by-step introduction to essential mathematical ideas asthey are needed, motivating the reader to venture beyond basicconcepts * The examination of linear system theory as it relates to controltheory * The use of the PBH test to characterize eigenvalues in the statefeedback and observer problems rather than its usual role as a testfor controllability or observability * The development Trade Review"...not only covers the essential topics of linear systems...but also covers the other popular control topics such as Linear Quadratic Regulator...will find its use for students interested in advanced control topics." (International Journal of Robust and Linear Control, Vol. 12, 2002)Table of ContentsIntroduction to State Space. State Feedback and Controllability. State Estimation and Observability. Model Approximation via Balanced Realization. Quadratic Control. LQG Control. Signal and System Spaces. System Algebra. Hx State Feedback and Estimation. Hx Output Feedback Control. Appendices. References. Index.

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Book SynopsisThis book focuses on the mechanical response in viscoelastic media under isothermal and nonisothermal conditions.Table of ContentsConstitutive Models in Linear Viscoelasticity. Constitutive Models in Nonlinear Viscoelasticity. Constitutive Models in Finite Viscoelasticity. Constitutive Models in Thermoviscoelasticity. References. Index.

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Book SynopsisIn sequential clinical trials, data from patients treated at the beginning of a trial can be analyzed while the trial is still in progress and subsequent patients can be recruited. This analysis provides stopping rules whereby the number of patients involved can be limited without affecting the results.Trade Review"...This book is clear, it provides many details and is well written..." (Statistical Methods in Medical Research, No.11, 2002)Table of ContentsClinical Trials. Allocating Patients to Treatments. Measurement of Treatment Difference. The Design of a Sequential Trial Using the Boundaries Approach. The Analysis of a Sequential Trial. Alternative Approaches to the Design and Analysis of Sequential Clinical Trials. Prognostic Factors. The Comparison of More than Two Treatments. Implementation of Sequential Methods: Some Examples. References. Appendix. Index.

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