Mathematics Books

Book SynopsisA book in the Systems Evaluation, Prediction, and Decision-Making Series, Systems Evaluation: Methods, Models, and Applications covers the evolutionary course of systems evaluation methods, clearly and concisely. Outlining a wide range of methods and models, it begins by examining the method of qualitative assessment. Next, it describes the process and methods for building an index system of evaluation and considers the compared evaluation and the logical framework approach, analytic hierarchy process (AHP), and the data envelopment analysis (DEA) relative efficiency evaluation method.Unique in its emphasis on the practical applications of systems evaluation methods and models, the book introduces several new evaluation models of grey system, including general grey incidence model, grey incidence models based on similarity and closeness, grey cluster evaluation based on triangular whitenization functions, and multi-attribute grey target decision modeTable of ContentsIntroduction 1 Common System Evaluation Methods and Models 2 Grey System Evaluation Models 3 Postevaluation of Road–Bridge Construction: Case Study of Lianxu Highway in China 4 Efficiency Evaluations of Scientific and Technological Activities 5 Evaluation of Energy Saving in China 6 International Cooperation Project Selection

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Book SynopsisIs it possible to apply a network model to composites with conical inclusions?How does the energy pass through contrast composites? Devoted to the analysis of transport problems for systems of densely packed, high-contrast composite materials, Capacity and Transport in Contrast Composite Structures: Asymptotic Analysis and Applications answers questions such as these and presents new and modified asymptotic methods for real-world applications in composite materials development. A mathematical discussion of phenomena related to natural sciences and engineering, this book covers historical developments and new progress in mathematical calculations, computer techniques, finite element computer programs, and presentation of results of numerical computations. The transport problemwhich is described with scalar linear elliptic equTrade Review... deals with interesting questions of strongly heterogeneous media, such as the analysis of capacities and transport properties. ... The book is intended to be self-contained and it is of interest to researchers in the fields of "homogenization theory" and "asymptotic analysis" in the areas of applied mathematics, physics and engineering sciences. More specifically, it may be of interest to students and researchers in mathematical models related to diffusion, electricity, magnetism, mechanics, new materials and design methods. It is written in terms of electrostatics, and it pays special attention to the so-called (by the authors) "Tamm screening effect" or "Tamm shielding effect" and the problems of the "effective tunability" and "effective loss" of composite materials. These effects/terms (and some others) arising in physics and engineering are in the reviewer’s opinion rarely considered in the literature of applied mathematics, and the authors provide a mathematical interpretation in this book .... Many figures in the book are important for the understanding of the corresponding problems and the results obtained.—Eugenia Pérez, in Mathematical Reviews, 2012aTable of ContentsIDEAS AND METHODS OF ASYMPTOTIC ANALYSIS AS APPLIED TO TRANSPORT IN COMPOSITE STRUCTURES. NUMERICAL ANALYSIS OF LOCAL FIELDS IN A SYSTEM OF CLOSELY PLACED BODIES. ASYMPTOTIC BEHAVIOR OF CAPACITY OF A SYSTEM OF CLOSELY PLACED BODIES. TAMM SHIELDING. NETWORK APPROXIMATION. NETWORK APPROXIMATION FOR POTENTIALS OF CLOSELY PLACED BODIES. ANALYSIS OF TRANSPORT PROPERTIES OF HIGHLY FILLED CONTRAST COMPOSITES USING THE NETWORK APPROXIMATION METHOD. EFFECTIVE TUNABILITY OF HIGH-CONTRAST COMPOSITES. EFFECTIVE LOSS OF HIGH-CONTRAST COMPOSITES. TRANSPORT AND ELASTIC PROPERTIES OF THIN LAYERS.

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Book SynopsisToday, with physician and hospital reimbursement being cut and tied to quality incentives, physicians and health plans are revisiting the concept of integration. Payers are demanding that the industry do more with less without sacrificing quality of care. As a result, physicians again find themselves integrating and aligning with hospitals that have the resources they lack or must develop together.Written by an acknowledged expert in the field of physician integration and managed care contracting, Physician Integration & Alignment: IPA, PHO, ACOs, and Beyond examines physician integration and alignment in the current healthcare market. It outlines the common characteristics of integrated groups and various organizational structures, and also explains how you can avoid making the same mistakes of the past. Filled with suggestions and ideas from successfully integrated practices, the book:Identifies industry drivers for the resurgence of intTable of Contents1994: The Initial Wave. Why Do It Again: The Drivers of the New Wave. Common Characteristics of Integrated Groups. Elements of Design for the New Integrated Networks. Avoiding the Mistakes of the Past. Antitrust and Other Regulatory Concerns. Options and More Options. A Checklist for the Design Process. Index

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Book SynopsisThe rigorous treatment of combustion can be so complex that the kinetic variables, fluid turbulence factors, luminosity, and other factors cannot be defined well enough to find realistic solutions. Simplifying the processes, The Coen & Hamworthy Combustion Handbook provides practical guidance to help you make informed choices about fuels, burners, and associated combustion equipmentand to clearly understand the impacts of the many variables. Editors Stephen B. Londerville and Charles E. Baukal, Jr, top combustion experts from John Zink Hamworthy Combustion and the Coen Company, supply a thorough, state-of-the-art overview of boiler burners that covers Coen, Hamworthy, and Todd brand boiler burners.A Refresher in Fundamentals and State-of-the-Art Solutions for Combustion System ProblemsRoughly divided into two parts, the book first reviews combustion engineering fundamentals. It then uses a building-block approach to present spTrade Review"I consider that the main strength of this book is the elaboration of both ... the theoretical and practical, to make it of great interest and relevance to practicing engineers. The language is simple and the arrangement of chapters is good, moving from theory to practice progressively. Besides various types of burners, all the associated equipment like fans, furnaces, controls, and safeties are all covered, making the topic complete. ... Designers, operators, consulting engineers and also students of heat power should find this book extremely useful."—Kumar Rayaprolu, author of Boilers: A Practical Reference and Boilers for Power and Process"I consider that the main strength of this book is the elaboration of both ... the theoretical and practical, to make it of great interest and relevance to practicing engineers. The language is simple and the arrangement of chapters is good, moving from theory to practice progressively. Besides various types of burners, all the associated equipment like fans, furnaces, controls, and safeties are all covered, making the topic complete. ... Designers, operators, consulting engineers and also students of heat power should find this book extremely useful."—Kumar Rayaprolu, author of Boilers: A Practical Reference and Boilers for Power and ProcessTable of ContentsIntroduction. Engineering Fundamentals. Combustion Fundamentals. Fuels. Oil Atomization. Solid Fuel Combustion in Suspension. Heat Transfer. Fundamentals of Fluid Dynamics. CFD-Based Combustion Modeling. Pollutant Emissions. Noise. Combustion Controls, Burner Management, and Safety Systems. Blowers for Combustion Systems. Burners and Combustion for Industrial and Utility Boilers. Duct Burners. Air Heaters. Marine and Offshore Applications. Appendices. Index.

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Book SynopsisInformation granules, as encountered in natural language, are implicit in nature. To make them fully operational so they can be effectively used to analyze and design intelligent systems, information granules need to be made explicit. An emerging discipline, granular computing focuses on formalizing information granules and unifying them to create a coherent methodological and developmental environment for intelligent system design and analysis. Granular Computing: Analysis and Design of Intelligent Systems presents the unified principles of granular computing along with its comprehensive algorithmic framework and design practices. Introduces the concepts of information granules, information granularity, and granular computing Presents the key formalisms of information granules Builds on the concepts of information granules with discussion of higher-order and higher-type information granules Discusses the operational concept of inTrade Review"Dr. Pedrycz is an internationally acclaimed authority in the granular computing area. ... I particularly appreciate his elegant writing style. This book is the first comprehensive treatise of the granular computing techniques and their application to the design of intelligent systems. ... As an application-oriented practitioner in computational intelligence systems, I think that this book will be a welcome and strongly needed addition to this field. I cannot think of any other expert worldwide more qualified than Prof. Pedycz to write such a book."—Emil M. Petriu, University of Ottawa, Canada "This volume covers most of the interesting and important topics in granular computing. The contents may be well understood by senior or master course students in the field of computer science ... also a good textbook for engineers who are involved in developing so-called intelligent systems."—Kaoru Hirota, Tokyo Institute of Technology, Japan "Dr. Pedrycz’s latest magnum opus ... breaks new ground in many directions. [It] takes an important step toward achievement of human-level machine intelligence—a principal goal of artificial intelligence (AI) since its inception. ... [This is] a remarkably well put together and reader-friendly collection of concepts and techniques, which constitute granular computing. ... [The book] combines extraordinary breadth with extraordinary depth. It contains a wealth of new ideas, and unfolds a vast panorama of concepts, methods, and applications. ... Dr. Pedrycz’s development and description of these concepts, techniques, and their applications is a truly remarkable achievement. ... must reading for all who are concerned with the design and application of intelligent systems."—From the Foreword by Lotfi A. Zadeh, University of California, Berkeley, USA Table of ContentsInformation Granularity, Information Granules, and Granular Computing. Key Formalisms for Representation of Information Granules and Processing Mechanisms. Information Granules of Higher Type and Higher Order, and Hybrid Information Granules. Representation of Information Granules. The Design of Information Granules. Optimal Allocation of Information Granularity: Building Granular Mappings. Granular Description of Data and Pattern Classification. Granular Models: Architectures and Development. Granular Time Series. From Models to Granular Models. Collaborative and Linguistic Models of Decision Making. Index.

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Book SynopsisFluid Dynamics via Examples and Solutions provides a substantial set of example problems and detailed model solutions covering various phenomena and effects in fluids. The book is ideal as a supplement or exam review for undergraduate and graduate courses in fluid dynamics, continuum mechanics, turbulence, ocean and atmospheric sciences, and related areas. It is also suitable as a main text for fluid dynamics courses with an emphasis on learning by example and as a self-study resource for practicing scientists who need to learn the basics of fluid dynamics.The author covers several sub-areas of fluid dynamics, types of flows, and applications. He also includes supplementary theoretical material when necessary. Each chapter presents the background, an extended list of references for further reading, numerous problems, and a complete set of model solutions.Trade Review"There is no better way to fall in love with a particular subject then to learn it through problem solving. Sergey Nazarenko has created an important resource for mathematics and physics students and young researchers by introducing basics and techniques of fluid dynamics. Anyone involved in teaching fluid dynamics will treasure this book because it provides a clear path to help convey the beauty, elegance, and sophistication of this enticing area of science."—Professor Natalia Berloff, Department of Applied Mathematics and Theoretical Physics, University of Cambridge and Skolkovo Institute of Science and Technology"This is an excellent book for fluid dynamics students. It gives a good overview of the theory through a large set of worthy example problems. After many classical textbooks on the subject, there is finally one with solved exercises. I fully appreciate the selection of topics."—Professor Miguel Onorato, Physics Department, University of TorinoTable of ContentsFluid Equations and Different Regimes of Fluid Flows. Conservation Laws in Incompressible Fluid Flows. Fluid with Free Surface. Waves and Instabilities. Boundary Layers. Two-Dimensional Flows. Point Vortices and Point Sources. Turbulence. Compressible Flow. Bibliography. Index.

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Book SynopsisThe Integers.- Groups.- Rings.- Polynomials.- Vector Spaces and Modules.- Some Linear Groups.- Field Theory.- Finite Fields.- The Real and Complex Numbers.- Sets.Trade ReviewFrom the reviews of the third edition: "As is very typical for Professor Lang’s self demand and style of publishing, he has tried to both improve and up-date his already well-established text. … Numerous examples and exercises accompany this now already classic primer of modern algebra, which as usual, reflects the author’s great individuality just as much as his unrivalled didactic mastery and his care for profound mathematical education at any level. … The present textbook … will remain one of the great standard introductions to the subject for beginners." (Werner Kleinert, Zentralblatt MATH, Vol. 1063, 2005)Table of Contents* Foreword * The Integers * Groups * Rings * Polynomials * Vector Spaces and Modules * Some Linear Groups * Field Theory * Finite Fields * The Real and Complex Numbers * Sets * Appendix * Index

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Book Synopsisthis section gained proofs of the Schroeder–Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets.Trade Review“This is a well-written book, based on very sound pedagogical ideas. It would be an excellent choice as a textbook for a ‘transition’ course.” (Margret Höft, zbMATH 1012.00013, 2021)“The contents of the book is organized in three parts … . this is a nice book, which also this reviewer has used with profit in his teaching of beginner students. It is written in a highly pedagogical style and based upon valuable didactical ideas.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 174, 2014)“Books in this category are meant to teach mathematical topics and techniques that will become valuable in more advanced courses. This book meets these criteria. … This book is well suited as a textbook for a transitional course between calculus and more theoretical courses. I also recommend it for academic libraries.” (Edgar R. Chavez, ACM Computing Reviews, February, 2012)“This is an improved edition of a good book that can serve in the undergraduate curriculum as a bridge between computationally oriented courses like calculus and more abstract courses like algebra.” (Teun Koetsier, Zentralblatt MATH, Vol. 1230, 2012)Table of ContentsPreface to the Second Edition Preface to the First Edition To the Student To the Instructor Part I. Proofs 1. Informal Logic 2. Strategies for Proofs Part II. Fundamentals 3. Sets 4. Functions 5. Relations 6. Finite and Infinite Sets Part III. Extras 7. Selected Topics 8. Explorations Appendix: Properties of Numbers Bibliography Index

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Book SynopsisPick up any hydrology textbook and it will not be long before you encounter pages listing sequences of equations representing complex mathematical concepts. Students and practitioners of hydrology will not find this very helpful, as their aim, generally, is to study and understand hydrology, and not to find themselves confronted with material that even students of mathematics would find challenging. Often, equations appear to be copied and pasted into hydrological texts in an attempt to give a more rigorous scientific basis to the narrative. However, they are commonly wrong, poorly explained, without context or background, and more likely to confuse and distance the reader than to enlighten and engage them in the topic. Understanding Mathematical and Statistical Techniques in Hydrology provides full and detailed expositions of such equations and mathematical concepts, commonly used in hydrology. In contrast to other hydrological texts, instead of presenting abstract Table of ContentsPreface vii How to use this book x 1 Fundamentals 1 1.1 Motivation for this book 1 1.2 Mathematical preliminaries 2 2 Statistical modelling 19 2.1 The Central European Floods, August 2002 19 2.2 Extreme value analysis 22 2.3 Simple methods of return period estimation 22 2.4 Return periods based on distribution fitting 25 2.5 Techniques for parameter estimation 30 2.6 Bayesian parameter estimation 30 2.7 Resampling methods: bootstrapping 31 3 Mathematics of hydrological processes 34 3.1 Introduction 34 3.2 Algebraic and difference equation methods 34 3.3 Methods involving exponentiation 36 3.4 Rearranging model equations 36 3.5 Equations with iterated summations and products 38 3.6 Methods involving differential equations 41 3.7 Methods involving integrals 43 4 Techniques based on data fitting 45 4.1 Experimental and observed data 45 4.2 Rating curves 46 4.3 Regression with two or more independent variables 49 4.4 Demonstration of decaying quantities 51 4.5 Analysis based on harmonic functions 52 5 Time series data 55 5.1 Introduction 55 5.2 Characteristics of time series data 55 5.3 Testing for time dependence 57 5.4 Testing for trends 58 5.5 Frequency analysis 59 5.6 Other analysis methods 60 5.7 Smoothing and filtering 60 5.8 Linear smoothing and filtering methods 61 5.9 Nonlinear filtering methods 64 5.10 Time series modelling 66 5.11 Hybrid time series/process-based models 67 5.12 Detecting non-stationarity 69 6 Measures of model performance, uncertainty and stochastic modelling 71 6.1 Introduction 71 6.2 Quantitative measures of performance 71 6.3 Comparing measures 73 6.4 The Nash–Sutcliffe method 75 6.5 Stochastic modelling 76 6.6 Monte Carlo simulations 77 6.7 Non-uniform Monte Carlo sampling 79 6.8 Uncertainty in hydrological modelling 81 6.9 Uncertainty in combined models 82 6.10 Assessing uncertainty given observed data: Bayesian methods 83 Glossary 86 Index 88

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Book SynopsisAn Introduction to Laplace Transforms and Fourier Series will be useful for second and third year undergraduate students in engineering, physics or mathematics, as well as for graduates in any discipline such as financial mathematics, econometrics and biological modelling requiring techniques for solving initial value problems.Table of ContentsThe Laplace Transform.- Further Properties of the Laplace Transform.- Convolution and the Solution of Ordinary Differential Equations.- Fourier Series.- Partial Differential Equations.- Fourier Transforms.- Wavelets and Signal Processing.- Complex Variables and Laplace Transforms.

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Book Synopsisthirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them.Table of ContentsI From Calculus to Analysis.- I.1 What’s Wrong with the Calculus?.- I.2 Growth and Change in Mathematics.- II Number.- II.1 Mathematics: Rational or Irrational?.- II.2 Constructive and Non-constructive Methods in Mathematics.- II.3 Common Measures, Highest Common Factors and the Game of Euclid.- II.4 Sides and Diagonals of Regular Polygons.- II.5 Numbers and Arithmetic—A Quick Review.- II.6 Infinite Decimals (Part 1).- II.7 Infinite Decimals (Part 2).- II.8 Recurring Nines.- II.9 Fractions and Recurring Decimals.- II.10 The Fundamental Property of Real Numbers.- II.11 The Arithmetic of Infinite Decimals.- II.12 Reflections on Recurring Themes.- II.13 Continued Fractions.- III Geometry.- III.1 Numbers and Geometry.- III.2 The Role of Geometrical Intuition.- III.3 Comparing Areas.- III.4 Comparing Volumes.- III.5 Curves and Surfaces.- IV Functions.- IV.1 What Is a Number?.- IV.2 What Is a Function?.- IV.3 What Is an Exponential Function?.

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Book SynopsisThis book explores both non parametric and general statistical ideas by developing non parametric procedures in simple situations.Table of Contents1 Concepts of Statistical Inference and the Binomial Distribution.- 1 Introduction.- 2 Probability Distributions.- 3 Estimators and their Properties.- 3.1 Unbiasedness and Variance.- 3.2 Consistency.- 3.3 Sufficiency.- 3.4 Minimum Variance.- 4 Hypothesis Testing.- 4.1 Tests and their Interpretation.- 4.2 Errors.- 4.3 One-Tailed Binomial Tests.- P-values.- 4.5 Two-Tailed Test Procedures and P-values.- 4.6 Other Conclusions in Two-Tailed Tests.- 5 Randomized Test Procedures.- 5.1 Introduction: Motivation and Examples.- 5.2 Randomized Tests: Definitions.- 5.3 Nonrandomized Tests Equivalent to Randomized Tests.- 5.4 Usefulness of Randomized Tests in Theory and Practice.- 5.5 ?Randomized P-values.- 6 Confidence Regions.- 6.1 Definition and Construction in the Binomial Case.- 6.2 Definition of Confidence Regions and Relationship to Tests in the General Case.- 6.3 Interpretation of Confidence Regions.- 6.4 True Confidence Level.- 6.5 Including False Values and the Size of Confidence Regions.- 6.6 ?Randomized Confidence Regions.- 7 Properties of One-Tailed Procedures.- 7.1 Uniformly Most Powerful One-Tailed Tests.- 7.2 ?Admissibility and Completeness of One-Tailed Tests.- 7.3 Confidence Procedures.- 7.4 ?Proofs.- 8 Choice of Two-Tailed Procedures and their Properties.- 8.1 Test Procedures.- 8.2 Confidence Procedures.- 8.3 ?Completeness and Admissibility of Two-Conclusion Two-Tailed Tests.- 8.4 ?Completeness and Admissibility of Three-Conclusion Two-Tailed Tests.- 9 Appendices to Chapter 1.- A Limits of the Binomial Distribution.- A.1 Ordinary Poisson Approximation and Limit.- A.2 Ordinary Normal Approximation and Limit.- ? Convergence in Distribution and Asymptotic Distributions.- B.1 Convergence of Frequency Functions and Densities.- B.2 Convergence in Distribution.- B.3 Two Central Limit Theorems.- Problems.- 2 One-Sample and Paired-Sample Inferences Based on the Binomial Distribution.- 1 Introduction.- 2 Quantile Values.- 3 The One-Sample Sign Test for Quantile Values.- 3.1 Test Procedures.- 3.2 “Optimum” Properties.- 3.3 ?Proofs.- 4 Confidence Procedures Based on the Sign Test.- 5 Interpolation between Attainable Levels.- 6 The Sign Test with Zero Differences.- 6.1 Discussion of Procedures.- 6.2 Conditional Properties of Conditional Sign Tests.- 6.3 Unconditional Properties of Conditional Sign Tests.- 6.4 ?Proof for One-Sided Alternatives.- 6.5 ?Prooffor Two-Sided Alternatives.- 7 Paired Observations.- 8 Comparing Proportions using Paired Observations.- 8.1 Test Procedure.- 8.2 Alternative Presentations.- 8.3 Example.- 8.4 Interpretation of the Test Results.- 8.5 Properties of the Test.- 8.6 Other Inferences.- 8.7 Cox Model.- 9 Tolerance Regions.- 9.1 Definition.- 9.2 Practical Uses.- 9.3 Construction of Tolerance Regions: Wilks’ Method.- 9.4 Tolerance Regions for Description.- 9.5 Tolerance Regions for Prediction.- 9.6 More General Construction Procedures.- Problems.- 3 One-Sample and Paired-Sample Inferences Based on Signed Ranks.- 1 Introduction.- 2 The Symmetry Assumption or Hypothesis.- 3 The Wilcoxon Signed-Rank Test.- 3.1 Test Procedure and Exact Null Distribution Theory.- 3.2 Asymptotic Null Distribution Theory.- 3.3 Large Sample Power.- 3.4 Consistency.- 3.5 Weakening the Assumptions.- 4 Confidence Procedures Based on the Wilcoxon Signed-Rank Test.- 5 A Modified Wilcoxon Procedure.- 6 Zeros and Ties.- 6.1 Introduction.- 6.2 Obtaining the Signed Ranks.- 6.3 Test Procedures.- 6.4 Warnings and Anomalies: Examples.- 6.5 Comparison of Procedures.- 7 Other Signed-Rank Procedures.- 7.1 Sums of Signed Constants.- 7.2 Signed Ranks and Walsh Averages.- 7.3 Confidence Bounds Corresponding to Signed-Rank Tests.- 7.4 Procedures Involving a Small Number of Walsh Averages.- 8 Invariance and Signed-Rank Procedures.- 8.1 Permutation Invariance.- 8.2 Invariance under Increasing, Odd Transformations.- 9 Locally Most Powerful Signed-Rank Tests 181 Problems.- 4 One-Sample and Paired-Sample Inferences Based on the Method of Randomization.- 1 Introduction.- 2 Randomization Procedures Based on the Sample Mean and Equivalent Criteria.- 2.1 Tests.- 2.2 Weakening the Assumptions.- 2.3 Related Confidence Procedures.- 2.4 Properties of the Exact Randomization Distribution.- 2.5 Modifications and Approximations to the Exact Randomization Procedure.- 3 The General Class of One-Sample Randomization Tests.- 3.1 Definition.- 3.2 Properties.- 4 Most Powerful Randomization Tests.- 4.1 General Case.- 4.2 One-Sided Normal Alternatives.- 4.3 Two-Sided Normal Alternatives.- 5 Obervation-Randomization versus Rank-Randomization Tests.- Problems.- 5 Two-Sample Rank Procedures for Location.- 1 Introduction.- 2 The Shift Assumption.- 3 The Median Test, Other Two-Sample Sign Tests, and Related Confidence Procedures.- 3.1 Reduction of Data to a 2 × 2 Table.- 3.2 Fisher’s Exact Test for 2 × 2 Tables.- 3.3 Ties.- 3.4 Corresponding Confidence Procedures.- 3.5 Power.- 3.6 Consistency.- 3.7 “Optimum” Properties.- 3.8 Weakening the Assumptions.- 4 Procedures Based on Sums of Ranks.- 4.1 The Rank Sum Test Procedure.- 4.2 Null Distribution of the Rank Sum Statistics.- 4.3 Corresponding Confidence Procedures.- 4.4 Approximate Power.- 4.5 Consistency.- 4.6 Weakening the Assumptions.- 4.7 Ties.- 4.8 Point and Confidence Interval Estimation of P(X > Y).- 5 Procedures Based on Sums of Scores.- 6 Two-Sample Rank Tests and the Y — X Differences.- 7 Invariance and Two-Sample Rank Procedures.- 8 Locally Most Powerful Rank Tests.- 8.1 Most Powerful and Locally Most Powerful Rank Tests Against Given Alternatives.- 8.2 The Class of Locally Most Powerful Rank Tests.- Problems.- 6 Two-Sample Inferences Based on the Method of Randomization.- 1 Introduction.- 2 Randomization Procedures Based on the Difference Between Sample Means and Equivalent Criteria.- 2.1 Tests.- 2.2 Weakening the Assumptions.- 2.3 Related Confidence Procedures.- 2.4 Properties of the Exact Randomization Distribution.- 2.5 Approximations to the Exact Randomization Distribution.- 3 The Class of Two-Sample Randomization Tests.- 3.1 Definition.- 3.2 Properties.- 4 Most Powerful Randomization Tests.- 4.1 General Case.- 4.2 One-Sided Normal Alternatives.- 4.3 Two-Sided Normal Alternatives.- Problems.- 7 Kolmogorov-Smirnov Two-Sample Tests.- 1 Introduction.- 2 Empirical Distribution Function.- 3 Two-Sample Kolmogorov-Smirnov Statistics.- 4 Null Distribution Theory.- 4.1 An Algorithm for the Exact Null Distribution.- 4.2 Relation Between One-Tailed and Two-Tailed Procedures.- 4.3 Exact Formulas for Equal Sample Sizes.- 4.4 Asymptotic Null Distributions.- 5 Ties.- 6 Performance.- 7 One-Sample Kolmogorov-Smirnov Statistics.- Problems.- 8 Asymptotic Relative Efficiency.- 1 Introduction.- 2 Asymptotic Behavior of Tests: Heuristic Discussion.- 2.1 Asymptotic Power of a Test.- 2.2 Nuisance Parameters.- 2.3 Asymptotic Relative Efficiency of Two Tests.- 3 Asymptotic Behavior of Point Estimators: Heuristic Discussion.- 3.1 Estimators of the Same Quantity.- 3.2 Relation of Estimators and Tests.- 3.3 Estimators of Different Quantities.- 4 Asymptotic Behavior of Confidence Bounds.- 5 Example.- 6 Definitions of Asymptotic Relative Efficiency.- 6.1 Introduction.- 6.2 Tests.- 6.3 Estimators.- 6.4 Confidence Bounds.- 6.5 Confidence Intervals.- 6.6 Summary.- 7 Pitman’s Formula.- 8 Asymptotic Relative Efficiencies of One-Sample Procedures for Shift Families.- 8.1 The Shift Model.- 8.2 Asymptotic Relative Efficiencies for Specific Shift Families.- 8.3 Bounds on Asymptotic Relative Efficiencies for Shift Families.- 8.4 ?Asymptotically Efficient Signed-Rank Procedures.- 9 Asymptotic Relative Efficiency of Procedures for Matched Pairs.- 9.1 Assumptions.- 9.2 Bounds for Asymptotic Efficiencies for Matched Pairs.- 10 Asymptotic Relative Efficiency of Two-Sample Procedures for Shift Families.- 11 Asymptotic Efficiency of Kolmogorov-Smirnov Procedures.- 11.1 One-Sided Tests.- 11.2 Two-Sided Tests.- Problems.- Tables.- Table A Cumulative Standard Normal Distribution.- Table B Cumulative Binomial Distribution.- Table C Binomial Confidence Limits.- Table D Cumulative Probabilities for Wilcoxon Signed-Rank Statistic.- Table E Cumulative Probabilities for Hypergeometric Distribution.- Table F Cumulative Probabilities for Wilcoxon Rank Sum Statistic.- Table G Kolmogorov-Smirnov Two-Sample Statistic.

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Book Synopsis1 Introduction.- 1.1 The Classical Sampling Theorem.- 1.2 Non-Uniform Sampling and Frames.- 1.3 Outline of the Book.- 2 On the Transmission Capacity of the Ether and Wire in Electrocommunications.- I Sampling, Wavelets, and the Uncertainty Principle.- 3 Wavelets and Sampling.- 4 Embeddings and Uncertainty Principles for Generalized Modulation Spaces.- 5 Sampling Theory for Certain Hilbert Spaces of Bandlimited Functions.- 6 Shannon-Type Wavelets and the Convergence of Their Associated Wavelet Series.- II Sampling Topics from Mathematical Analysis.- 7 Non-Uniform Sampling in Higher Dimensions: From Trigonometric Polynomials to Bandlimited Functions.- 8 The Analysis of Oscillatory Behavior in Signals Through Their Samples.- 9 Residue and Sampling Techniques in Deconvolution.- 10 Sampling Theorems from the Iteration of Low Order Differential Operators.- 11 Approximation of Continuous Functions by RogosinskiType Sampling Series.- III Sampling Tools and Applications.- 12 Fast Fourier Transforms for Nonequispaced Data: A Tutorial.- 13 Efficient Minimum Rate Sampling of Signals with Frequency Support over Non-Commensurable Sets.- 14 Finite-and Infinite-Dimensional Models for Oversampled Filter Banks.- 15 Statistical Aspects of Sampling for Noisy and Grouped Data.- 16 Reconstruction of MRI Images from Non-Uniform Sampling and Its Application to Intrascan Motion Correction in Functional MRI.- 17 Efficient Sampling of the Rotation Invariant Radon Transform.- References.Trade Review"The introduction (Chapter 1) gives an excellent overview of the history and development of sampling theory. It shows that the WSK sampling theory has roots in many classical areas of mathematics, such as harmonic analysis, number theory, and interpolation theory. Many famous mathematicians, such as Cauchy, Borel, Hadamard, and de la Vallee-Poussin contributed directly or indirectly to its development. The introduction then proceeds to show how sampling theory is connected to more recent topics in mathematical analysis, such as wavelets, Gabor systems, density theorems, frames, and sampling in locally compact abelian groups." —Mathematical Reviews "Engineers and mathematicians working in wavelets, signal processing, and harmonic analysis, as well as scientists and engineers working on applications as varied as medical imaging and synthetic aperture radar, will find the book to be a modern and authoritative guide to sampling theory." —Publicationes MathematicaeTable of ContentsIntroduction, On the transmission capacity of the 'ether' and wire in electrocommunications, Part I: Sampling, wavelets, and the uncertainty principle, Wavelets and sampling, Embeddings and uncertainty principles for generalized modulation spaces, Sampling theory for certain hilbert spaces of bandlimited functions, Shannon-type wavelets and the convergence of their associated wavelet series, Part II: Sampling topics from mathematical analysis, Non-uniform sampling in higher dimensions: From trigonometric polynomials to bandlimited functions, The analysis of oscillatory behavior in signals through their samples, Residue and sampling techniques in deconvolution, Sampling theorems from the iteration of low order differential operators, Approximation of continuous functions by Rogosinski-Type sampling series, Part III: Sampling tools and applications, Fast fourier transforms for nonequispaced data: A tutorial, Efficient minimum rate sampling of signals with frequency support over non-commensurable sets, Finite and infinite-dimensional models for oversampled filter banks, Statistical aspects of sampling for noisy and grouped data, Reconstruction of MRI images from non-uniform sampling, application to Intrascan motion correction in functional MRI, Efficient sampling of the rotation invariant radon transform

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Book Synopsis0 Introduction and Foundations.- 0.1 The Fundamental Concepts and Problems of Topology.- 0.2 Simplicial Complexes.- 0.3 The Jordan Curve Theorem.- 0.4 Algorithms.- 0.5 Combinatorial Group Theory.- 1 Complex Analysis and Surface Topology.- 1.1 Riemann Surfaces.- 1.2 Nonorientable Surfaces.- 1.3 The Classification Theorem for Surfaces.- 1.4 Covering Surfaces.- 2 Graphs and Free Groups.- 2.1 Realization of Free Groups by Graphs.- 2.2 Realization of Subgroups.- 3 Foundations for the Fundamental Group.- 3.1 The Fundamental Group.- 3.2 The Fundamental Group of the Circle.- 3.3 Deformation Retracts.- 3.4 The SeifertVan Kampen Theorem.- 3.5 Direct Products.- 4 Fundamental Groups of Complexes.- 4.1 Poincaré's Method for Computing Presentations.- 4.2 Examples.- 4.3 Surface Complexes and Subgroup Theorems.- 5 Homology Theory and Abelianization.- 5.1 Homology Theory.- 5.2 The Structure Theorem for Finitely Generated Abelian Groups.- 5.3 Abelianization.- 6 Curves on Surfaces.- 6.1 Dehn's Algorithm.Table of Contents0 Introduction and Foundations.- 0.1 The Fundamental Concepts and Problems of Topology.- 0.2 Simplicial Complexes.- 0.3 The Jordan Curve Theorem.- 0.4 Algorithms.- 0.5 Combinatorial Group Theory.- 1 Complex Analysis and Surface Topology.- 1.1 Riemann Surfaces.- 1.2 Nonorientable Surfaces.- 1.3 The Classification Theorem for Surfaces.- 1.4 Covering Surfaces.- 2 Graphs and Free Groups.- 2.1 Realization of Free Groups by Graphs.- 2.2 Realization of Subgroups.- 3 Foundations for the Fundamental Group.- 3.1 The Fundamental Group.- 3.2 The Fundamental Group of the Circle.- 3.3 Deformation Retracts.- 3.4 The Seifert—Van Kampen Theorem.- 3.5 Direct Products.- 4 Fundamental Groups of Complexes.- 4.1 Poincaré’s Method for Computing Presentations.- 4.2 Examples.- 4.3 Surface Complexes and Subgroup Theorems.- 5 Homology Theory and Abelianization.- 5.1 Homology Theory.- 5.2 The Structure Theorem for Finitely Generated Abelian Groups.- 5.3 Abelianization.- 6 Curves on Surfaces.- 6.1 Dehn’s Algorithm.- 6.2 Simple Curves on Surfaces.- 6.3 Simplification of Simple Curves by Homeomorphisms.- 6.4 The Mapping Class Group of the Torus.- 7 Knots and Braids.- 7.1 Dehn and Schreier’s Analysis of the Torus Knot Groups.- 7.2 Cyclic Coverings.- 7.3 Braids.- 8 Three-Dimensional Manifolds.- 8.1 Open Problems in Three-Dimensional Topology.- 8.2 Polyhedral Schemata.- 8.3 Heegaard Splittings.- 8.4 Surgery.- 8.5 Branched Coverings.- 9 Unsolvable Problems.- 9.1 Computation.- 9.2 HNN Extensions.- 9.3 Unsolvable Problems in Group Theory.- 9.4 The Homeomorphism Problem.- Bibliography and Chronology.

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Book Synopsis1 Groups.- 2 Graphs.- 3 Chemical Compounds.- 4 Asymptotic Evaluation of the Number of Combinations.- The Legacy of Pólya's Paper: Fifty Years of Pólya Theory.- References.Table of Contents1 Groups.- 2 Graphs.- 3 Chemical Compounds.- 4 Asymptotic Evaluation of the Number of Combinations.- The Legacy of Pólya’s Paper: Fifty Years of Pólya Theory.- References.

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Table of Contents1. Internal stabilization of the phase field system. 2. A solution to the fixed end-point linear quadratic optimal problem. 3. Pattern recognition control systems - a distinct direction in intelligent control. 4. The disturbance attenuation problem for a general class of linear stochastic systems. 5. Conceptual structural elements regarding a speed governor for hydrogenerators. 6. Towards intelligent real-time decision support systems for industrial milieu. 7. Non-analytical approaches to model-based fault detection and isolation. 8. Control of DVD players; focus and tracking control loop. 9. On the structural system analysis in distributed control. 10. On the dynamical control of hyper redundant manipulators. 11. Robots for humanitarian demining. 12. Parametrization of stabilizing controllers with applications. 13. Methodology for the design of feedback active vibration control systems. 14. Future trends in model predictive control. 15. Blocking phenomena analysis for discrete event systems with failures and/or preventive maintenance schedules. 16. Intelligent planning and control in a CIM system. 17. Petri Net Toolbox - teaching discrete event systems under Matlab. 18. Componentwise asymptotic stability - from flow-invariance to Lyapunov functions. 19. Independent component analysis with application to dams displacements monitoring. 20. Fuzzy controllers with dynamics, a systematic design approach. 21. Discrete time linear periodic Hamiltonian systems and applications. 22. Stability of neutral time delay systems: a survey of some results. 23. Slicot-based advanced automatic control computations. 24. On the connection between Riccati inequalities and equations in H8 control problems. 25. New computational approach for the design of fault detection and isolation filters. 26. Setting up the reference input in sliding motion control and its closed-loop tracking performance. 27. Flow-invariance method in control - a survey of some results. 28. ADDENDUM: Brief history of the automatic control degree course at Technical University 'Gh. Asachi' of Iasi.

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Book SynopsisThis book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis.Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.Trade ReviewFrom the reviews:“The aim of the author is to give an introductory text on (ordinary) representation theory of finite groups which is accessible for advanced undergraduates already. And Steinberg manages this outstandingly well. … a book which is ideally suited for beginners in math as well as physicists, engineers and so on, who need a concise, well conceived and easy comprehensible introduction into representation theory.” (G. Kowol, Monatshefte für Mathematik, Vol. 167 (3-4), September, 2012)“Steinberg … provides a one-semester course on representation theory with just linear algebra and a beginning course in abstract algebra (primarily group theory) as prerequisites. … the author covers most of the standard introductory topics in representation theory. The exercises provide more examples and further common results. It is the applications that Steinberg uses to motivate the subject that make this text both interesting and valuable. … Overall, a very user-friendly text with many examples and copious details. Summing Up: Recommended. Upper-division undergraduates through researchers/faculty.” (J. T. Zerger, Choice, Vol. 49 (11), August, 2012)“The book consists of 157 pages spread over 11 chapters. … This book is an introductory course and it could be used by mathematicians and students who would like to learn quickly about the representation theory and character theory of finite groups, and for non-algebraists, statisticians and physicists who use representation theory.” (Jamshid Moori, Mathematical Reviews, Issue 2012 j)“The required background as to this introductory course on group representations, is in the level of linear algebra, group theory and some ring theory. … the book under review is a welcome one for students at an advanced undergraduate or introductory graduate level course, also for those people like physicists, statisticians and non-algebraically oriented mathematicians who need representation theory in their work.” (R. W. van der Waall, Zentralblatt MATH, Vol. 1243, 2012)“The author has, by combining clear writing with an accessible and minimal-prerequisite approach to group representations, created a book that may well help bring group representation theory into the undergraduate curriculum. This is an impressive and useful text, and should be looked at by anybody with an interest in the subject.” (Mark Hunacek, The Mathematical Association of America, February, 2012)Table of Contents-Preface.-Introduction.-Review of Linear Algebra.-Group Representations.-Character Theory.-Fourier Analysis on Finite Groups.-Burnside's Theorem.-Permutation Representations.-Induced Representations.-Another Theorem of Burnside.-The Symmetric Group.-Bibliography.-Index.

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Book Synopsis"Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads" contains theorems which are of particular value for the solution of geometrical problems. Before the complete solution of every problem, a key idea is presented so that the reader will be able to provide the solution.Trade ReviewFrom the reviews:“Sotirios E. Louridas and Michael Th. Rassias, the authors of the book at hand, put together an excellent collection of problems for practice. They provide detailed solutions following the masters of that skill. … an active reader would greatly benefit from reading the book; while working out the problems is bound to sharpen his or her problem solving skills. … it’s a worthy addition to a library of a problem solver.” —Alex Bogomolny, MAA Reviews, December, 2013"The book is a wonderful presentation of the essential concepts, ideas and results of Euclidean Geometry useful in solving olympiad problems of various level of difficulties. The theoretical part is excellently illustrated by challenging olympiad problems. The complete solutions to these problems are carefully presented, most of them together with several interesting comments and remarks. ... All in all the text is a highly recommendable choice for any olympiad training program, and fills some gaps in the existing literature in Euclidean Geometry. The book is a very useful source of models and ideas for students, teachers, heads of national teams and authors of problems, as well as for people who are interested in mathematics and solving difficult problems."—Mihaly Bencze, EMS Newsletter, November 2013"A subject of high interest for problem-solving in Euclidean Geometry is the application of geometric transformations ... The authors have succeeded to study with great accuracy these transformations. Additionally, they have applied them in order to obtain very nice solutions for some quite challenging problems ... The book is full of new and challenging ideas that will provide guidance and inspiration for future study in the fundamental area of Euclidean Geometry. The large collection of problems in this book provides a valuable recourse for advanced high school students, university undergraduates, instructors, and Mathematics coaches preparing students to participate in mathematical Olympiads...."—Nicusor Minculete, Gazeta Matematică, Seria B., 10/2013"This book provides an essential presentation of concepts and ideas as well as problems with their solutions in Euclidean Geometry, a traditional and still challenging part of Geometry.—Dorian Andrica, Zentralblatt"The book is mainly devoted to several very interesting problems, some of which constructed by the authors, that have been presented in a rigorous and self-contained manner. Emphasis is given in the discussion of a variety of methods, which play a significant role for the solution of problems in Euclidean Geometry. The book will be of particular interest to students and teachers who train them for Mathematical Olympiads and other Mathematical Contests. Additionally to everyone who enjoys studying some of the jewels of Euclidean Geometry and has some special love for good problems and beautiful ideas. ... The Foreword of the book has been written by Michael H. Freedman (Fields Medal in Mathematics, 1986) ... The authors deserve congratulations for their excellent effort and success to provide a high quality service in fundamental mathematics. " —Jose Luis Diaz Barrero, Octogon Mathematical Magazine, October 2013"Sixty-five problems and their solutions are arranged in three parts: problems based on basic theory, problems based on advancedtheory, and geometric inequalities. Some problems were included in International Mathematical Olympiads (IMOs) or proposed in short lists in IMOs ... the problem part of the book ... contains a collection of interesting problems. ... Chapter 4 seeks to "present some of the most essential theorems of Euclidean Geometry". Some of these theorems (Pythagoras', Ceva's, Menelaus') are important indeed and applicable to many problems."—Yury J. Ionin, Mathematical Reviews, January 2014"There are many excellent books on plane Euclidean geometry, exploring the subject at various levels. The book under review, which is foreworded by Michael H. Freedman (Fields Medal, 1986), adds yet another facet to this colorful subject. This delightful book presents a collection of problems in plane Euclidean geometry in the spirit of mathematical olympiads, along with their solutions. Additionally, it provides essential theory of plane Euclidean geometry, with proofs of some fundamental theorems. As such, this monograph is an excellent training manual to use in preparation for mathematical competitions and olympiads. Hence, this is a book that belongs in all academic libraries, from high school through graduate level." —Abraham A. Ungar, Acta Universitatis Apulensis, 40/2014.Table of ContentsForeword.- Preface.- Basic Concepts and Theorems of Euclidean Geometry.- Methods of Analysis, Synthesis, Construction and Proof.-Geometrical Constructions.- Geometrical Loci.- Problems of Olympiad Caliber.- Solutions of the Problems.- Bibliography.- Index.

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Book SynopsisSolve the DVA/FVA Overlap Issue and Effectively Manage Portfolio Credit RiskCounterparty Risk and Funding: A Tale of Two Puzzles explains how to study risk embedded in financial transactions between the bank and its counterparty. The authors provide an analytical basis for the quantitative methodology of dynamic valuation, mitigation, and hedging of bilateral counterparty risk on over-the-counter (OTC) derivative contracts under funding constraints. They explore credit, debt, funding, liquidity, and rating valuation adjustment (CVA, DVA, FVA, LVA, and RVA) as well as replacement cost (RC), wrong-way risk, multiple funding curves, and collateral. The first part of the book assesses today's financial landscape, including the current multi-curve reality of financial markets. In mathematical but model-free terms, the second part describes all the basic elements of the pricing and hedging framework. Taking a more practical slant, the third pTrade Review"… a fresh take on mitigation of counterparty risk … [the book] gives a ground-up approach for analysis and managing of risks associated with non-payment of promised cash flows due to the default by a party in an over-the-counter derivative transaction. It should be of value to researchers, graduate students, financial quants, managers in banks, CVA desks, and members of supervisory bodies."—hedgeweek.com, July 2014"The landscape of the rates and credit markets has changed so drastically since the 2008 crisis that older textbooks are barely relevant and, from an analytic perspective, appropriate methods have to be rethought from scratch. The present volume is one of the best contributions in this direction, featuring a clear description of the various ‘value adjustments,’ new models for portfolio credit risk, a unified analytic framework based on BSDEs, and detailed treatment of numerical methods."—Mark Davis, Imperial College London"Understanding the subtle interconnections between credit and funding is key to a modern valuation of derivatives. This timely contribution, written by world-class academics who are also well-recognized experts in the field, offers a rigorous and comprehensive treatment of the main theories underpinning the new valuation principles. Numerical examples are also provided to help the reader grasp key concepts and ideas of the advanced models and techniques here presented. Overall, an excellent textbook. Brigo’s dialogue is the icing on the cake."—Fabio Mercurio, Head of Derivatives Research, Bloomberg LP"A big hooray for this book on CVA, DVA, FVA/LVA, RVA, TVA, and other three letter acronyms (TLA!)."—Peter Carr, PhD, Managing Director, Morgan Stanley, and Executive Director, NYU Courant Master of Science Program in Mathematics in FinanceTable of ContentsFinancial Landscape. Model-Free Developments. Reduced-Form BSDE Modeling. Dynamic Copula Models. Further Developments. Mathematical Appendix. Index.

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Book SynopsisEstimate and Interpret Results from Ordered Regression ModelsOrdered Regression Models: Parallel, Partial, and Non-Parallel Alternatives presents regression models for ordinal outcomes, which are variables that have ordered categories but unknown spacing between the categories. The book provides comprehensive coverage of the three major classes of ordered regression models (cumulative, stage, and adjacent) as well as variations based on the application of the parallel regression assumption.The authors first introduce the three parallel ordered regression models before covering unconstrained partial, constrained partial, and nonparallel models. They then review existing tests for the parallel regression assumption, propose new variations of several tests, and discuss important practical concerns related to tests of the parallel regression assumption. The book also describes extensions of ordered regression models, including heterogeneousTrade Review"The book is intended to be a starter for somebody not familiar with the subject. It was written primarily for social scientists (published in the CRC Statistics in the Social and Behavioral Sciences Series) and as such, it can be read easily without any statistical pre-requisites beyond very basic Statistics and some working knowledge of logistic regression. Nevertheless, the book is certainly useful far beyond the social sciences themselves – in particular for epidemiologists, medical researchers and also statisticians of students of Statistics/Biostatistics who want to learn basic facts about ordered regression and perhaps motivate further study of this interesting field. The style of exposition is quite informal and intuitive."~International Society for Clinical BiostatisticsTable of ContentsIntroduction. Parallel Models. Partial Models. Nonparallel Models. Testing the Parallel Regression Assumption. Extensions. References. Index.

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Book SynopsisA User''s Guide to Business Analytics provides a comprehensive discussion of statistical methods useful to the business analyst. Methods are developed from a fairly basic level to accommodate readers who have limited training in the theory of statistics. A substantial number of case studies and numerical illustrations using the R-software package are provided for the benefit of motivated beginners who want to get a head start in analytics as well as for experts on the job who will benefit by using this text as a reference book.The book is comprised of 12 chapters. The first chapter focuses on business analytics, along with its emergence and application, and sets up a context for the whole book. The next three chapters introduce R and provide a comprehensive discussion on descriptive analytics, including numerical data summarization and visual analytics. Chapters five through seven discuss set theory, definitions and counting rules, probability, random Table of ContentsWhat Is Analytics? Introducing R—An Analytics Software. Reporting Data. Statistical Graphics and Visual Analytics. Probability. Random Variables and Probability Distributions. Continuous Random Variables. Statistical Inference. Regression for Predictive Model Building. Decision Trees. Data Mining and Multivariate Methods. Modeling Time Series Data for Forecasting.

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Book SynopsisStochastic Modeling for Medical Image Analysis provides a brief introduction to medical imaging, stochastic modeling, and model-guided image analysis.Today, image-guided computer-assisted diagnostics (CAD) faces two basic challenging problems. The first is the computationally feasible and accurate modeling of images from different modalities to obtain clinically useful information. The second is the accurate and fast inferring of meaningful and clinically valid CAD decisions and/or predictions on the basis of model-guided image analysis.To help address this, this book details original stochastic appearance and shape models with computationally feasible and efficient learning techniques for improving the performance of object detection, segmentation, alignment, and analysis in a number of important CAD applications.The book demonstrates accurate descriptions of visual appearances and shapes of the goal objects and their background to help solve aTable of ContentsMedical Imaging Modalities. From Images to Graphical Models. IRF Models: Estimating Marginals. Markov-Gibbs Random Field Models: Estimating Signal Interactions. Applications: Image Alignment. Segmenting Multimodal Images. Segmenting with Deformable Models. Segmenting with Shape and Appearance Priors. Cine Cardiac MRI Analysis. Sizing Cardiac Pathologies.

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Book SynopsisStatistics is of ever-increasing importance in Science and Technology and this book presents the essentials of the subject in a form suitable either as the basis of a course of lectures or to be read and/or used on its own.Table of Contents1 Introduction or ‘What is statistics?’.- 2 The presentation of data.- 3 Probability, its meaning, real and theoretical populations.- 4 Basic properties of the normal distribution.- 5 Some properties of sampling distributions.- 6 Applications of normal sampling theory; significance tests.- 7 Normal sampling theory: test for difference between several sample means, analysis of variance, design of experiments.- 8 Normal sampling theory: estimation of ‘parameters’ by confidence intervals, by maximum likelihood.- 9 The binomial distribution: laws of probability, applications of the binomial distribution, the multinomial distribution.- 10 The Poisson, negative exponential, and rectangular distributions.- 11 The ?2 test for ‘goodness of fit’: test for ‘association’.- 12 Fitting lines and curves to data, least squares method.- 13 Regression curves and lines, correlation coefficient, normal bivariate distribution.- 14 Some distribution-independent (or ‘distribution-free’ or ‘non-parametric’) tests.- 15 Note on sampling techniques and quality control.- 16 Some problems of practical origin.- Answers.

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Book SynopsisProvide students with essential practice with this write-in workbook for the only series published in association with The Bahamas Ministry of Education & Technical & Vocational Training (MOETVT).- Have confidence in complete coverage of the revised syllabus- Rely on up-to-date, comprehensive and accessible materials- Encourages problem solving, critical thinking and mental strategies- Provide essential practice with write-in workbooks- Inspire students with motivational and attractive resources

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