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Vector Analysis and Cartesian Tensors: Third Edition

This is a comprehensive self-contained text suitable for use by undergraduate mathematics, science and engineering students following courses in vector analysis. The earlier editions have been used extensively in the design and teaching of may undergraduate courses. Vectors are introduced in terms of Cartesian components, an approach which is found to appeal to many students because of the basic algebraic rules of composition of vectors and the definitions of gradient divergence and curl are thus made particularly simple. The theory is complete, and intended to be as rigorous as possible at the level at which it is aimed.

Vector Analysis and Cartesian Tensors: Third Edition

This is a comprehensive self-contained text suitable for use by undergraduate mathematics, science and engineering students following courses in vector analysis. The earlier editions have been used extensively in the design and teaching of may undergraduate courses. Vectors are introduced in terms of Cartesian components, an approach which is found to appeal to many students because of the basic algebraic rules of composition of vectors and the definitions of gradient divergence and curl are thus made particularly simple. The theory is complete, and intended to be as rigorous as possible at the level at which it is aimed.

Starting Out In Methods And Statistics For Psychology: A Hands-on Guide To Doing Research

Starting Out in Methods and Statistics for Psychology: a Hands-on Guide to Doing Research takes first year psychology students through the entire process of doing research in psychology, from exploring designs and methods, to conducting step-by-step, by-hand data analysis, and writing up their findings, all in a friendly and accessible way. The text begins by presenting a thorough overview of research, explaining its central role in psychology as a science and exploring how to read and present research findings before introducing students to both qualitative and quantitative approaches to research. The author then explores experimental and correlational designs in detail, introducing the general principles before addressing the logic of the specific data analyses used in these forms of design. Dedicated chapters show students how to calculate independent and repeated t tests, and independent measures ANOVA in the experimental design section, and correlation and regression analyses in the correlation section. After guiding students through these essentials, the author moves on to a detailed explanation of when to use non-parametric tests, and again takes students through these data analyses in a carefully-paced series of hand calculations. The text concludes with a clear guide to when to use which test, and takes a look forward to the sorts of statistical analyses students will encounter in both published research and the next phase of their studies. Online Resource Centre For students: - A diagnostic maths test to help students identify their - strengths and weaknesses - Example lab reports (good and bad) - Example ethics applications forms - Full answers to the in-text study questions - SPSS screencasts - Links to papers and websites For lecturers: - Worksheets with additional datasets - Fully worked answers to worksheets - Testbank - Figures and tables from the book, ready to download - Animated solutions to the hand calculations

Starting Out In Methods And Statistics For Psychology: A Hands-on Guide To Doing Research

[Amazon] Starting Out in Methods and Statistics for Psychology: a Hands-on Guide to Doing Research takes first year psychology students through the entire process of doing research in psychology, from exploring designs and methods, to conducting step-by-step, by-hand data analysis, and writing up their findings, all in a friendly and accessible way. The text begins by presenting a thorough overview of research, explaining its central role in psychology as a science and exploring how to read and present research findings before introducing students to both qualitative and quantitative approaches to research. The author then explores experimental and correlational designs in detail, introducing the general principles before addressing the logic of the specific data analyses used in these forms of design. Dedicated chapters show students how to calculate independent and repeated t tests, and independent measures ANOVA in the experimental design section, and correlation and regression analyses in the correlation section. After guiding students through these essentials, the author moves on to a detailed explanation of when to use non-parametric tests, and again takes students through these data analyses in a carefully-paced series of hand calculations. The text concludes with a clear guide to when to use which test, and takes a look forward to the sorts of statistical analyses students will encounter in both published research and the next phase of their studies.

Reachability Problems: 17th International Conference, RP 2023, Nice, France, October 11–13, 2023, Proceedings (Lecture Notes in Computer Science #14235)

This book constitutes the refereed proceedings of the 17th International Conference on Reachability Problems, RP 2023, held in Nice, France, during October 11–13, 2023.The 13 full papers included in this book were carefully reviewed and selected from 19 submissions. They present recent research on reachability problems to promote the exploration of new approaches for the modeling and analysis of computational processes by combining mathematical, algorithmic, and computational techniques.

Model Theory and Algebraic Geometry: An introduction to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in Mathematics #1696)

Homotopy Limits, Completions and Localizations (Lecture Notes in Mathematics #304)

The main purpose of part I of these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of Quillen and Sullivan; for R a subring of the rationals, the R-completion coincides up to homotopy, with the localizations of Quillen, Sullivan and others. In part II of these notes, the authors have assembled some results on towers of fibrations, cosimplicial spaces and homotopy limits which were needed in the discussions of part I, but which are of some interest in themselves.

Extreme Value Theory with Applications to Natural Hazards: From Statistical Theory to Industrial Practice

This richly illustrated book describes statistical extreme value theory for the quantification of natural hazards, such as strong winds, floods and rainfall, and discusses an interdisciplinary approach to allow the theoretical methods to be applied. The approach consists of a number of steps: data selection and correction, non-stationary theory (to account for trends due to climate change), and selecting appropriate estimation techniques based on both decision-theoretic features (e.g., Bayesian theory), empirical robustness and a valid treatment of uncertainties. It also examines and critically reviews alternative approaches based on stochastic and dynamic numerical models, as well as recently emerging data analysis issues and presents large-scale, multidisciplinary, state-of-the-art case studies. Intended for all those with a basic knowledge of statistical methods interested in the quantification of natural hazards, the book is also a valuable resource for engineers conducting risk analyses in collaboration with scientists from other fields (such as hydrologists, meteorologists, climatologists).

Molecular Modelling and Synthesis of Nanomaterials: Applications in Carbon- and Boron-based Nanotechnology (Springer Series in Materials Science #290)

This book presents nanomaterials as predicted by computational modelling and numerical simulation tools, and confirmed by modern experimental techniques. It begins by summarizing basic theoretical methods, then giving both a theoretical and experimental treatment of how alkali metal clusters develop into nanostructures, as influenced by the cluster's "magic number" of atoms. The book continues with a discussion of atomic clusters and nanostructures, focusing primarily on boron and carbon, exploring, in detail, the one-, two-, and three-dimensional structures of boron and carbon, and describing their myriad potential applications in nanotechnology, from nanocoating and nanosensing to nanobatteries with high borophene capacity. The broad discussion of computational modelling as well as the specific applications to boron and carbon, make this book an essential reference resource for materials scientists in this field of research.

Observer Design for Nonlinear Dynamical Systems: Differential Geometric Methods (Lecture Notes in Control and Information Sciences #487)

This book presents a differential geometric method for designing nonlinear observers for multiple types of nonlinear systems, including single and multiple outputs, fully and partially observable systems, and regular and singular dynamical systems. It is an exposition of achievements in nonlinear observer normal forms. The book begins by discussing linear systems, introducing the concept of observability and observer design, and then explains the difficulty of those problems for nonlinear systems. After providing foundational information on the differential geometric method, the text shows how to use the method to address observer design problems. It presents methods for a variety of systems. The authors employ worked examples to illustrate the ideas presented. Observer Design for Nonlinear Dynamical Systems will be of interest to researchers, graduate students, and industrial professionals working with control of mechanical and dynamical systems.

Disease Prevention and Health Promotion in Developing Countries

This book brings together two important discussions in public health in developing countries: an understanding of the burden of disease, health equity and social determinants of health; and biomathematical models, epidemiological studies and estimation of the direct and indirect cost of disease. The empirical chapters in the first part discuss aspects of disease prevention and health promotion in developing countries, with a particular focus on countries that are part of the World Health Organization’s Eastern Mediterranean Region and the African Region. Health equity and social determinants of health constitute a cornerstone of this book, with the widespread recognition that addressing the social determinants of health is crucial not only for improving general health but importantly for reducing unfair and remediable health inequalities. Using mathematical models, epidemiological studies and statistical estimation of costs, the second part of this book shows the opportunities that exist for developing countries to prevent disease and promote health by adopting cost-effective strategies and cost–benefit analyses.

The Safety Utopia: Contemporary Discontent and Desire as to Crime and Punishment

My ?rst encounter with the world of crime and punishment was more than two decades ago, and it has since undergone vast changes. No one could have foreseen that crime-related problems would occupy such a prominent position in cultural awareness. Crime is on the rise, the public attention devoted to it has increased even more, and its political importance has mushroomed. The major change in the 1990s was perhaps the transformation of crime into a safety issue. Crime is no longer a matter involving offenders, victims, the police and the courts, it involves everyone and any number of agencies and institutions from security companies to the local authorities and from schools to pub and restaurant owners. Crime has become a much larger complex than the judicial system—a complex organized mentally and institutionally around this one concept of safety. In this book I make an effort to get to the bottom of this complex. It is the sequel to my dissertation Crime and Morality—The Moral Signi?cance of Criminal Justice in a Postmodern Culture (2000), where I hold that the victim became the essence of crime in Western culture, and that this in turn shaped public morality. In the second half of the twentieth century, a personal morality based on an awareness of our own and other people’s vulnerability, i. e. potential victimhood, succeeded the ethics of duty.

Textbook of Epidemiology

TEXTBOOK OF EPIDEMIOLOGY The gold standard in epidemiological texts In the second edition of Textbook of Epidemiology, a distinguished team of researchers deliver an extensively updated and comprehensive exploration of epidemiological methods, illuminating the tools for studying the distribution and risk factors of health states and events in populations. An introduction to epidemiological methods with recent and broadly applicable examples End-of-chapter self-assessment questions for readers to check their understanding of key concepts, with answer keys and further enrichment materials available on a companion website A brand-new chapter covering methods for systematic reviews and meta-analysis Accessible material appropriate for clinical practitioners and researchers from around the world Perfect for professionals working in clinical medicine and public health, Textbook of Epidemiology will also earn a place in the libraries of allied health professionals seeking a one-stop resource or to re-immerse themselves in specific methodological topics and practices.

Textbook of Epidemiology

TEXTBOOK OF EPIDEMIOLOGY The gold standard in epidemiological texts In the second edition of Textbook of Epidemiology, a distinguished team of researchers deliver an extensively updated and comprehensive exploration of epidemiological methods, illuminating the tools for studying the distribution and risk factors of health states and events in populations. An introduction to epidemiological methods with recent and broadly applicable examples End-of-chapter self-assessment questions for readers to check their understanding of key concepts, with answer keys and further enrichment materials available on a companion website A brand-new chapter covering methods for systematic reviews and meta-analysis Accessible material appropriate for clinical practitioners and researchers from around the world Perfect for professionals working in clinical medicine and public health, Textbook of Epidemiology will also earn a place in the libraries of allied health professionals seeking a one-stop resource or to re-immerse themselves in specific methodological topics and practices.

D-modules, Representation Theory, and Quantum Groups: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992 (Lecture Notes in Mathematics #1565)

Schema de Picard Local (Lecture Notes in Mathematics #632)

Randomized Clinical Trials of Nonpharmacological Treatments

Nonpharmacological treatments include a wide variety of treatments such as surgery, technical procedures, implantable and non-implantable devices, rehabilitation, psychotherapy, and behavioral interventions. Unlike pharmacological treatments, these have no specific requirements for approval. Consequently, they can be widely proposed in clinical pra

Women in Numbers Europe II: Contributions to Number Theory and Arithmetic Geometry (Association for Women in Mathematics Series #11)

Inspired by the September 2016 conference of the same name, this second volume highlights recent research in a wide range of topics in contemporary number theory and arithmetic geometry. Research reports from projects started at the conference, expository papers describing ongoing research, and contributed papers from women number theorists outside the conference make up this diverse volume. Topics cover a broad range of topics such as arithmetic dynamics, failure of local-global principles, geometry in positive characteristics, and heights of algebraic integers. The use of tools from algebra, analysis and geometry, as well as computational methods exemplifies the wealth of techniques available to modern researchers in number theory. Exploring connections between different branches of mathematics and combining different points of view, these papers continue the tradition of supporting and highlighting the contributions of women number theorists at a variety of career stages. Perfect for students and researchers interested in the field, this volume provides an easily accessible introduction and has the potential to inspire future work.

Integrating Data Science and Earth Science: Challenges and Solutions (SpringerBriefs in Earth System Sciences)

This open access book presents the results of three years collaboration between earth scientists and data scientist, in developing and applying data science methods for scientific discovery. The book will be highly beneficial for other researchers at senior and graduate level, interested in applying visual data exploration, computational approaches and scientifc workflows.

The W3 Algebra: Modules, Semi-infinite Cohomology and BV Algebras (Lecture Notes in Physics Monographs #42)

The study of W algebras began in 1985 in the context of two-dimensional conf- mal field theories, the aim being to explore higher-spin extensions of the Virasoro algebra. Given the simultaneous growth in the understanding of two-dimensional metric gravity inspired by analyses of string models, it was inevitable that these algebras would be applied to give analogues of putative higher-spin gravity t- ories. This book is an exposition of the past few years of our work on such an application for the algebra: in particular, the BRST quantization of the n- critical 4D string. We calculate the physical spectrum as a problem in BRST cohomology. The corresponding operator cohomology forms a BV algebra, for which we provide a geometrical model. The algebra has one further generator, of spin three, in addition to the (spin two) energy-momentum tensor which generates the Virasoro algebra. C- trary to the Virasoro algebra, it is an algebra defined by nonlinear relations. In deriving our understanding of the resulting gravity theories we have had to - velop a number of results on the representation theory of W algebras, to replace the standard techniques that were so successful in treating linear algebras.

Geometric Analysis and Applications to Quantum Field Theory (Progress in Mathematics #205)

In the last decade there has been an extraordinary confluence of ideas in mathematics and theoretical physics brought about by pioneering discoveries in geometry and analysis. The various chapters in this volume, treating the interface of geometric analysis and mathematical physics, represent current research interests. No suitable succinct account of the material is available elsewhere. Key topics include: * A self-contained derivation of the partition function of Chern- Simons gauge theory in the semiclassical approximation (D.H. Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in quantum field theory and to certain integrable systems (A.L. Carey and E. Langmann) * A study of variational methods in Hermitian geometry from the viewpoint of the critical points of action functionals together with physical backgrounds (A. Harris) * A review of monopoles in nonabelian gauge theories (M.K. Murray) * Exciting developments in quantum cohomology (Y. Ruan) * The physics origin of Seiberg-Witten equations in 4-manifold theory (S. Wu) Graduate students, mathematicians and mathematical physicists in the above-mentioned areas will benefit from the user-friendly introductory style of each chapter as well as the comprehensive bibliographies provided for each topic. Prerequisite knowledge is minimal since sufficient background material motivates each chapter.

Handbook of Robust Low-Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing

Handbook of Robust Low-Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing shows you how robust subspace learning and tracking by decomposition into low-rank and sparse matrices provide a suitable framework for computer vision applications. Incorporating both existing and new ideas, the book conveniently gives you one-stop access to a number of different decompositions, algorithms, implementations, and benchmarking techniques. Divided into five parts, the book begins with an overall introduction to robust principal component analysis (PCA) via decomposition into low-rank and sparse matrices. The second part addresses robust matrix factorization/completion problems while the third part focuses on robust online subspace estimation, learning, and tracking. Covering applications in image and video processing, the fourth part discusses image analysis, image denoising, motion saliency detection, video coding, key frame extraction, and hyperspectral video processing. The final part presents resources and applications in background/foreground separation for video surveillance. With contributions from leading teams around the world, this handbook provides a complete overview of the concepts, theories, algorithms, and applications related to robust low-rank and sparse matrix decompositions. It is designed for researchers, developers, and graduate students in computer vision, image and video processing, real-time architecture, machine learning, and data mining.

Background Modeling and Foreground Detection for Video Surveillance

Background modeling and foreground detection are important steps in video processing used to detect robustly moving objects in challenging environments. This requires effective methods for dealing with dynamic backgrounds and illumination changes as well as algorithms that must meet real-time and low memory requirements.Incorporating both establish

Aiding Decisions with Multiple Criteria: Essays in Honor of Bernard Roy (International Series in Operations Research & Management Science #44)

Evaluation and Decision Models with Multiple Criteria: Stepping stones for the analyst (International Series in Operations Research & Management Science #86)

Formal decision and evaluation models are so widespread that almost no one can pretend not to have used or suffered the consequences of one of them. This book is a guide aimed at helping the analyst to choose a model and use it consistently. A sound analysis of techniques is proposed and the presentation can be extended to most decision and evaluation models as a "decision aiding methodology".