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Decomposition Methods for Differential Equations: Theory and Applications (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
by Juergen GeiserDecomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods. It covers real-life problems, the underlying decomposition and discretization, the stability and consistency analysis of the decomposition methods, and num
Deconvolution Problems in Nonparametric Statistics
by Alexander MeisterThis book gives an introduction to deconvolution problems in nonparametric statistics, e.g. density estimation based on contaminated data, errors-in-variables regression, and image reconstruction. Some real-life applications are discussed while we mainly focus on methodology (description of the estimation procedures) and theory (minimax convergence rates with rigorous proofs and adaptive smoothing parameter selection). In general, we have tried to present the proofs in such manner that only a low level of previous knowledge is needed. An appendix chapter on further results of Fourier analysis is also provided.
Design and Analysis of Bioavailability and Bioequivalence Studies (Chapman & Hall/CRC Biostatistics Series)
by Shein-Chung Chow Jen-pei LiuPreeminent Experts Update a Well-Respected BookTaking into account the regulatory and scientific developments that have occurred since the second edition, Design and Analysis of Bioavailability and Bioequivalence Studies, Third Edition provides a complete presentation of the latest progress of activities and results in bioavailability and bioequiva
Design and Analysis of Clinical Trials with Time-to-Event Endpoints (Chapman & Hall/CRC Biostatistics Series)
by Karl E. PeaceUsing time-to-event analysis methodology requires careful definition of the event, censored observation, provision of adequate follow-up, number of events, and independence or "noninformativeness" of the censoring mechanisms relative to the event. Design and Analysis of Clinical Trials with Time-to-Event Endpoints provides a thorough presentation o
Developing Primary Mathematics Teaching: Reflecting on Practice with the Knowledge Quartet
by Fay Turner Tim Rowland E Anne Thwaites Peter HuckstepHow can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching: - making sense of foundation knowledge - focusing on what teachers know about mathematics - transforming knowledge - representing mathematics to learners through examples, analogies, illustrations and demonstrations - connection - helping learners to make sense of mathematics through understanding how ideas and concepts are linked to each other - contingency - what to do when the unexpected happens Each chapter includes practical activities, lesson descriptions and extracts of classroom transcripts to help teachers reflect on effective practice.
Difference Methods for Singular Perturbation Problems (Monographs and Surveys in Pure and Applied Mathematics)
by Grigory I. Shishkin Lidia P. Shishkina� Difference Methods for Singular Perturbation Problems focuses on the development of robust difference schemes for wide classes of boundary value problems. It justifies the ε-uniform convergence of these schemes and surveys the latest approaches important for further progress in numerical methods.The first part of the book e
Differential Equations and Mathematical Biology (Chapman & Hall/CRC Mathematical Biology Series)
by Michael Plank B.D. Sleeman D.S. JonesDeepen students' understanding of biological phenomenaSuitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeli
Digital Image Processing: An Algorithmic Approach with MATLAB (Chapman & Hall/CRC Textbooks in Computing)
by Uvais Qidwai C.H. ChenAvoiding heavy mathematics and lengthy programming details, Digital Image Processing: An Algorithmic Approach with MATLAB presents an easy methodology for learning the fundamentals of image processing. The book applies the algorithms using MATLAB, without bogging down students with syntactical and debugging issues.One chapter can typically be compl
Discrete Fourier Analysis and Wavelets
by S. Allen Broughton Kurt M. BryanA thorough guide to the classical and contemporary mathematical methods of modern signal and image processingDiscrete Fourier Analysis and Wavelets presents a thorough introduction to the mathematical foundations of signal and image processing. Key concepts and applications are addressed in a thought-provoking manner and are implemented using vector, matrix, and linear algebra methods. With a balanced focus on mathematical theory and computational techniques, this self-contained book equips readers with the essential knowledge needed to transition smoothly from mathematical models to practical digital data applications.The book first establishes a complete vector space and matrix framework for analyzing signals and images. Classical methods such as the discrete Fourier transform, the discrete cosine transform, and their application to JPEG compression are outlined followed by coverage of the Fourier series and the general theory of inner product spaces and orthogonal bases. The book then addresses convolution, filtering, and windowing techniques for signals and images. Finally, modern approaches are introduced, including wavelets and the theory of filter banks as a means of understanding the multiscale localized analysis underlying the JPEG 2000 compression standard.Throughout the book, examples using image compression demonstrate how mathematical theory translates into application. Additional applications such as progressive transmission of images, image denoising, spectrographic analysis, and edge detection are discussed. Each chapter provides a series of exercises as well as a MATLAB project that allows readers to apply mathematical concepts to solving real problems. Additional MATLAB routines are available via the book's related Web site.With its insightful treatment of the underlying mathematics in image compression and signal processing, Discrete Fourier Analysis and Wavelets is an ideal book for mathematics, engineering, and computer science courses at the upper-undergraduate and beginning graduate levels. It is also a valuable resource for mathematicians, engineers, and other practitioners who would like to learn more about the relevance of mathematics in digital data processing.
Discrete Mathematics for Computing (3rd Edition)
by Peter Grossman<p>Palgrave Macmillan Discrete Mathematics for Computing is suitable for students taking a one-semester introductory course in discrete mathematics, particularly those studying Computing and Informations Systems. It presents the essential mathematics needed for computing in a style suitable for students with only a moderate background in the subject. <p>Material is introduced at a gentle pace and in an informal style, without compromising mathematical integrity. The text includes many examples of how the theory is applied to problems in computing. This third edition includes: a new expanded section on encryption, additional examples to illustrate key concepts, new exercises at a variety of levels. <p>Peter Grossman has worked in universities and industry as a mathematician and computing professional. As a lecturer in mathematics, he was responsible for coordinating and developing mathematics courses for computing students. He has applied his skills in areas as diverse as calculator design, irrigation systems and underground mine layouts.
Discrete Mathematics: Proofs, Structures and Applications, Third Edition
by John Taylor Rowan GarnierTaking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow prog
Dynamics On and Of Complex Networks
by Animesh Mukherjee Andreas Deutsch Niloy GangulyThis self-contained book systematically explores the statistical dynamics on and of complex networks having relevance across a large number of scientific disciplines. The theories related to complex networks are increasingly being used by researchers for their usefulness in harnessing the most difficult problems of a particular discipline. The book is a collection of surveys and cutting-edge research contributions exploring the interdisciplinary relationship of dynamics on and of complex networks. Topics covered include complex networks found in nature--genetic pathways, ecological networks, linguistic systems, and social systems--as well as man-made systems such as the World Wide Web and peer-to-peer networks. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas, and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduate students interested in systems exhibiting an underlying complex network structure in disciplines such as computer science, biology, statistical physics, nonlinear dynamics, linguistics, and the social sciences.
Dynamics and Relativity
by Jeffrey Forshaw Gavin SmithA new title in the Manchester Physics Series, this introductory text emphasises physical principles behind classical mechanics and relativity. It assumes little in the way of prior knowledge, introducing relevant mathematics and carefully developing it within a physics context. Designed to provide a logical development of the subject, the book is divided into four sections, introductory material on dynamics, and special relativity, which is then followed by more advanced coverage of dynamics and special relativity. Each chapter includes problems ranging in difficulty from simple to challenging with?solutions for solving problems. Includes?solutions for solving problemsNumerous worked examples included throughout the bookMathematics is carefully explained and developed within a physics environmentSensitive to topics that can appear daunting or confusing
Dynamics of Markets: The New Financial Economics (2nd edition)
by Joseph L. MccauleyThis second edition presents the advances made in finance market analysis since 2005. The book provides a careful introduction to stochastic methods along with approximate ensembles for a single, historic time series. The new edition explains the history leading up to the biggest economic disaster of the 21st century. Empirical evidence for finance market instability under deregulation is given, together with a history of the explosion of the US Dollar worldwide. A model shows how bounds set by a central bank stabilized FX in the gold standard era, illustrating the effect of regulations. The book presents economic and finance theory thoroughly and critically, including rational expectations, cointegration and arch/garch methods, and replaces several of those misconceptions by empirically based ideas. This book will be of interest to finance theorists, traders, economists, physicists and engineers, and leads the reader to the frontier of research in time series analysis.
E-Z Algebra (Barron's Easy Series)
by Douglas Downing Peter Eisen<p>Topics covered in this detailed review of algebra include general rules for dealing with numbers, equations, negative numbers and integers, fractions and rational numbers, exponents, roots and real numbers, algebraic expressions, functions, graphs, systems of two equations, quadratic equations, circles, ellipses, parabolas, polynomials, numerical series, permutations, combinations, the binomial formula, proofs by mathematical induction, exponential functions and logarithms, simultaneous equations and matrices, and imaginary numbers. Exercises follow each chapter with answers at the end of the book. <p>Barron's continues its ongoing project of updating, improving, and giving handsome new designs to its popular list of Easy Way titles, now re-named Barron's E-Z Series. The new cover designs reflect the books' brand-new page layouts, which feature extensive two-color treatment, a fresh, modern typeface, and more graphic material than ever. Charts, graphs, diagrams, instructive line illustrations, and where appropriate, amusing cartoons help to make learning E-Z. Barron's E-Z books are self-teaching manuals focused to improve students' grades across a wide array of academic and practical subjects. For most subjects, the skill level ranges between senior high school and college-101 standards. In addition to their self-teaching value, these books are also widely used as textbooks or textbook supplements in classroom settings. E-Z books review their subjects in detail, using both short quizzes and longer tests to help students gauge their learning progress. All exercises and tests come with answers. Subject heads and key phrases are set in a second color as an easy reference aid.</p>
Early Childhood Mathematics Education Research: Learning Trajectories for Young Children (Studies in Mathematical Thinking and Learning Series)
by Douglas H. Clements Julie SaramaThis important new book synthesizes relevant research on the learning of mathematics from birth into the primary grades from the full range of these complementary perspectives. At the core of early math experts Julie Sarama and Douglas Clements's theoretical and empirical frameworks are learning trajectories—detailed descriptions of children’s thinking as they learn to achieve specific goals in a mathematical domain, alongside a related set of instructional tasks designed to engender those mental processes and move children through a developmental progression of levels of thinking. Rooted in basic issues of thinking, learning, and teaching, this groundbreaking body of research illuminates foundational topics on the learning of mathematics with practical and theoretical implications for all ages. Those implications are especially important in addressing equity concerns, as understanding the level of thinking of the class and the individuals within it, is key in serving the needs of all children.
Elementary Probability for Applications
by Rick DurrettThis clear and lively introduction to probability theory concentrates on the results that are the most useful for applications, including combinatorial probability and Markov chains. Concise and focused, it is designed for a one-semester introductory course in probability for students who have some familiarity with basic calculus. Reflecting the author's philosophy that the best way to learn probability is to see it in action, there are more than 350 problems and 200 examples. The examples contain all the old standards such as the birthday problem and Monty Hall, but also include a number of applications not found in other books, from areas as broad ranging as genetics, sports, finance, and inventory management.
Elementary Statistics: A Step by Step Approach
by Allan G. BlumanElementary Statistics: A Brief Version, 4th Edition is a shorter version of Allan Bluman's popular text Elementary Statistics: A Step by Step Approach, 6th edition. This softcover edition includes all the features of the longer book, but is designed for a course in which the time available limits the number of topics covered. The book is written for general beginning statistics courses with a basic algebra prerequisite. The book use a non-theoretical approach, explaining concepts intuitively and teaching problem solving through worked examples step-by-step.
Elementary Statistics: A Step by Step Approach
by Allan G. BlumanELEMENTARY STATISTICS: A STEP BY STEP APPROACH is for general beginning statistics courses with a basic algebra prerequisite. The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions.
Elementary Statistics: Picturing The World
by Ron Larson Betsy Farber Elizabeth FarberFor algebra-based Introductory Statistics courses. Offering the most accessible approach to statistics, with a strong visual/graphical emphasis, the text offers a vast number of examples on the premise that students learn best by doing. The fourth edition features many updates and revisions that place increased emphasis on interpretation of results and critical thinking in addition to calculations. This emphasis on statistical literacy is reflective of the GAISE recommendations.
Elementary Statistics: Picturing the World (4th Edition)
by Ron Larson Betsy FarberFor algebra-based Introductory Statistics courses. Offering the most accessible approach to statistics, with a strong visual/graphical emphasis, the text offers a vast number of examples on the premise that students learn best by doing. The fourth edition features many updates and revisions that place increased emphasis on interpretation of results and critical thinking in addition to calculations. This emphasis on statistical literacy is reflective of the GAISE recommendations.
Elementary Statistics: Picturing the World, Fourth Edition
by Ron Larson Betsy FarberThe book offers the most accessible approach to statistics, with a strong visual/graphical emphasis and a vast number of examples on the premise that students learn best by "doing". The fourth edition features many updates and revisions that place increased emphasis on interpretation of results and critical thinking in addition to calculations. This emphasis on "statistical literacy" is reflective of the GAISE recommendations.
Emerging Markets: Performance, Analysis and Innovation (Chapman & Hall/CRC Finance Series)
by Greg N. GregoriouAlthough emerging market economies consist of 50% of the global population, they are relatively unknown. Filling this knowledge gap, Emerging Markets: Performance, Analysis and Innovation compiles the latest research by noteworthy academics and money managers from around the world. With a focus on both traditional emerging markets and new areas, su
Energy Efficiency: Real Time Energy Infrastructure Investment and Risk Management
by Leslie A. SolmesENERGY EFFICIENCY uses an applied scientific methodology and case studies to demonstrate and support: The need for the U.S. and the world to commit to energy and resource efficiency as the central goal in investing in electric, heat, and cooling infrastructure, the huge economic opportunity for using the inefficiency built into 20th century energy supply systems, especially, electric, to pay for the upgrades, replacements, and new production and distribution systems of the 21st century, the importance of adopting a standard, web-based energy infrastructure investment decision-making and risk management tool that will serve as a communication medium for all stakeholders to evaluate and compare energy infrastructure investment options and manage investment risks, expansions of the U.S. 'smart' grid investment to include evaluation and risk management of energy systems infrastructure investments not just electricity operations, the need to adopt a 'framework' for utilities, energy service companies, and customers to work together to close business deals, communicate and manage risks, and realize profits.
Epidemiology and Biostatistics
by Bryan KestenbaumConcise, fast-paced, intensive introduction to clinical research design for students and clinical research professionals Readers will gain sufficient knowledge to pass the United States Medical Licensing Examination part I section in Epidemiology