Methods of Nonlinear Analysis

State-of-the-art analysis of geological structures has become increasingly quantitative but traditionally, graphical methods are used in teaching. This innovative lab book provides a unified methodology for problem-solving in structural geology using linear algebra and computation. Assuming only limited mathematical training, the book begins with classic orientation problems and progresses to more fundamental topics of stress, strain and error propagation. It introduces linear algebra methods as the foundation for understanding vectors and tensors, and demonstrates the application of geometry and kinematics in geoscience without requiring students to take a supplementary mathematics course. All algorithms are illustrated with a suite of online MATLAB functions, allowing users to modify the code to solve their own structural problems. Containing 20 worked examples and over 60 exercises, this is the ideal lab book for advanced undergraduates or beginning graduate students. It will also p

This volume of new essays presents groundbreaking interpretations of some of the most central themes of Wittgenstein's philosophy. A distinguished group of contributors demonstrates how Wittgenstein's thought can fruitfully be applied to contemporary debates in epistemology, metaphilosophy and philosophy of language. The volume combines historical and systematic approaches to Wittgensteinian methods and perspectives, with essays providing detailed analysis that will be accessible to students as well as specialists. The result is a rich and illuminating picture of a key figure in twentieth-century philosophy and his continuing importance to philosophical study.

This volume of new essays presents groundbreaking interpretations of some of the most central themes of Wittgenstein's philosophy. A distinguished group of contributors demonstrates how Wittgenstein's thought can fruitfully be applied to contemporary debates in epistemology, metaphilosophy and philosophy of language. The volume combines historical and systematic approaches to Wittgensteinian methods and perspectives, with essays providing detailed analysis that will be accessible to students as well as specialists. The result is a rich and illuminating picture of a key figure in twentieth-century philosophy and his continuing importance to philosophical study.

The behaviour of systems occurring in real life is often modelled by partial differential equations. This book investigates how a user or observer can influence the behaviour of such systems mathematically and computationally. A thorough mathematical analysis of controllability problems is combined with a detailed investigation of methods used to solve them numerically, these methods being validated by the results of numerical experiments. In Part I of the book the authors discuss the mathematics and numerics relating to the controllability of systems modelled by linear and non-linear diffusion equations; Part II is dedicated to the controllability of vibrating systems, typical ones being those modelled by linear wave equations; finally, Part III covers flow control for systems governed by the Navier-Stokes equations modelling incompressible viscous flow. The book is accessible to graduate students in applied and computational mathematics, engineering and physics; it will also be of us

Molybdenum (Mo) is a widely used trace metal for investigating redox conditions. However, unanswered questions remain that concentration and bulk isotopic analysis cannot specially answer. Improvements can be made by combining new geochemical techniques to traditional methods of Mo analysis. In this Element, we propose a refinement of Mo geochemistry within aquatic systems, ancient rocks, and modern sediments through molecular geochemistry (systematically combining concentration, isotope ratio, elemental mapping, and speciation analyses). Specifically, to intermediate sulfide concentrations governing Mo behavior below the 'switch-point' and dominant sequestration pathways in low oxygen conditions. The aim of this work is to 1) aid and improve the breadth of Mo paleoproxy interpretations by considering Mo speciation and 2) address outstanding research gaps concerning Mo systematics (cycling, partitioning, sequestration, etc.). The Mo paleoproxy has potential to solve ever complex resear

Paul Hedley Jones presents a coherent reading of 1 Kings 13 that is attentive to literary, historical and theological concerns. Beginning with a summary and evaluation of Karl Barth’s overtly theological exposition of the chapter – as set out in his Church Dogmatics – Jones explores how this analysis was received and critiqued by Barth's academic peers, who focused on very different questions, priorities and methods. By highlighting substantive material in the text for further investigation, Jones sheds light on a range of hermeneutical issues that support exegetical work unseen, and additionally provides a wider scope of opinion into the conversation by reviewing the work of other scholars whose methods and priorities also diverge from those of Barth and his contemporaries. After evaluating four additional in-depth readings of 1 Kings 13, Jones presents a more theoretical discussion about perceived dichotomies in biblical studies that tend to surface regularly in methodological deba

Quasi-interpolation is one of the most useful and often applied methods for the approximation of functions and data in mathematics and applications. Its advantages are manifold: quasi-interpolants are able to approximate in any number of dimensions, they are efficient and relatively easy to formulate for scattered and meshed nodes and for any number of data. This book provides an introduction into the field for graduate students and researchers, outlining all the mathematical background and methods of implementation. The mathematical analysis of quasi-interpolation is given in three directions, namely on the basis (spline spaces, radial basis functions) from which the approximation is taken, on the form and computation of the quasi-interpolants (point evaluations, averages, least squares), and on the mathematical properties (existence, locality, convergence questions, precision). Learn which type of quasi-interpolation to use in different contexts and how to optimise its features to su

Analysing Variation in English brings together a range of perspectives on the collection, analysis and broader relevance of variable language data. In the first half of the book, the focus is firmly on the description and comparison of methods for collecting and analysing examples of variation in language. Novel quantitative and computational methods are introduced and exemplified alongside more traditional approaches. The innovative second half of the book establishes and tests the relevance of language variation to other aspects of linguistics such as language change, and to other disciplines such as law and education. Each chapter concludes with a 'Where next?' section, providing guidance on further reading, but also pointers to under-researched areas, designed to help identify good topics for projects and dissertations. Designed to be used by students as well as researchers, the book will be welcomed by those working in English language and linguistics, sociolinguistics or language

This book provides an introduction to the methods employed in forecasting the future state of the economy. It provides a comprehensive coverage of methods and applications in this fast-growing area and is intended for use in postgraduate and upper-level undergraduate courses. Part I outlines the available techniques, particularly those used in business forecasting and econometric forecasting. The state of the art in time series modelling is reviewed and includes a discussion of Box-Jenkins models, the vector autogressive approach and cointegration. Ways of combining forecasts are also examined in detail. Part II considers the most important applications of forecasting. Applications in microeconomics include demand and sales forecasting, the use of anticipations data, leading indicators and scenario analysis. In macroeconomics the emphasis is on why errors occur in forecasting asset market prices, including implications of the efficient markets hypothesis for foreign markets, stock mark

This book contains the products of work carried out over four decades of research in Italy, France and the United States, and in the intellectual territory between social movements, comparative politics, and historical sociology. Using a variety of methods ranging from statistical analysis to historical case studies to linguistic analysis, the book centers on historical catalogs of protest events and cycles of collective action. Sidney Tarrow places social movements in the broader arena of contentious politics, in relation to states, political parties and other actors. From peasants and communists in 1960s Italy, to movements and politics in contemporary western polities, to the global justice movement in the new century, the book argues that contentious actors are neither outside of nor completely within politics, but rather they occupy the uncertain territory between total opposition and integration into policy.

This book contains the products of work carried out over four decades of research in Italy, France and the United States, and in the intellectual territory between social movements, comparative politics, and historical sociology. Using a variety of methods ranging from statistical analysis to historical case studies to linguistic analysis, the book centers on historical catalogs of protest events and cycles of collective action. Sidney Tarrow places social movements in the broader arena of contentious politics, in relation to states, political parties and other actors. From peasants and communists in 1960s Italy, to movements and politics in contemporary western polities, to the global justice movement in the new century, the book argues that contentious actors are neither outside of nor completely within politics, but rather they occupy the uncertain territory between total opposition and integration into policy.

This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied con

The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related multiplicative functions. They also prove the mean-value theorems of Wirsing and Halász and study the pointwise convergence of the Ramanujan expansion. Finally, some applications to power series with multiplicative coefficients are included, along with exercises and an extensive bibliography.

Famous mathematical constants include the ratio of circular circumference to diameter, pi=3.14 …, and the natural logarithmic base, e=2.178 … Students and professionals usually can name at most a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. Topics covered include the statistics of continued fractions, chaos in nonlinear systems, prime numbers, sum-free sets, isoperimetric problems, approximation theory, self-avoiding walks and the Ising model (from statistical physics), binary and digital search trees (from theoretical computer science), the Prouhet-Thue-Morse sequence, complex analysis, geometric probability and the traveling salesman problem. This book will be helpful both to readers seeking information about a specific constant, and to readers

This timely text covers the theory and practice of surface and nanostructure determination by low-energy electron diffraction (LEED) and surface X-ray diffraction (SXRD): it is the first book on such quantitative structure analysis in over 30 years. It provides a detailed description of the theory, including cutting-edge developments and tested experimental methods. The focus is on quantitative techniques, while the qualitative interpretation of the LEED pattern without quantitative I(V) analysis is also included. Topics covered include the future study of nanoparticles, quasicrystals, thermal parameters, disorder and modulations of surfaces with LEED, with introductory sections enabling the non-specialist to follow all the concepts and applications discussed. With numerous colour figures throughout, this text is ideal for undergraduate and graduate students and researchers, whether experimentalists or theorists, in the fields of surface science, nanoscience and related technologies. I

Changes in the shape of the yield curve have traditionally been one of the key macroeconomic indicators of a likely change in economic outlook. However, the recent financial crises have created a challenge to the management of monetary policy, demanding a revision in the way that policymakers model expected changes in the economy. This volume brings together central bank economists and leading academic monetary economists to propose new methods for modelling the behaviour of interest rates. Topics covered include: the analysis and extraction of expectations of future monetary policy and inflation; the analysis of the short-term dynamics of money market interest rates; the reliability of existing models in periods of extreme market volatility and how to adjust them accordingly; and the role of government debt and deficits in affecting sovereign bond yields and spreads. This book will interest financial researchers and practitioners as well as academic and central bank economists.

Changes in the shape of the yield curve have traditionally been one of the key macroeconomic indicators of a likely change in economic outlook. However, the recent financial crises have created a challenge to the management of monetary policy, demanding a revision in the way that policymakers model expected changes in the economy. This volume brings together central bank economists and leading academic monetary economists to propose new methods for modelling the behaviour of interest rates. Topics covered include: the analysis and extraction of expectations of future monetary policy and inflation; the analysis of the short-term dynamics of money market interest rates; the reliability of existing models in periods of extreme market volatility and how to adjust them accordingly; and the role of government debt and deficits in affecting sovereign bond yields and spreads. This book will interest financial researchers and practitioners as well as academic and central bank economists.

This textbook explains the basic ideas of subjective probability and shows how subjective probabilities must obey the usual rules of probability to ensure coherency. It defines the likelihood function, prior distributions and posterior distributions. It explains how posterior distributions are the basis for inference and explores their basic properties. Various methods of specifying prior distributions are considered, with special emphasis on subject-matter considerations and exchange ability. The regression model is examined to show how analytical methods may fail in the derivation of marginal posterior distributions. The remainder of the book is concerned with applications of the theory to important models that are used in economics, political science, biostatistics and other applied fields. New to the second edition is a chapter on semiparametric regression and new sections on the ordinal probit, item response, factor analysis, ARCH-GARCH and stochastic volatility models. The new ed

This textbook explains the basic ideas of subjective probability and shows how subjective probabilities must obey the usual rules of probability to ensure coherency. It defines the likelihood function, prior distributions and posterior distributions. It explains how posterior distributions are the basis for inference and explores their basic properties. Various methods of specifying prior distributions are considered, with special emphasis on subject-matter considerations and exchange ability. The regression model is examined to show how analytical methods may fail in the derivation of marginal posterior distributions. The remainder of the book is concerned with applications of the theory to important models that are used in economics, political science, biostatistics and other applied fields. New to the second edition is a chapter on semiparametric regression and new sections on the ordinal probit, item response, factor analysis, ARCH-GARCH and stochastic volatility models. The new ed

The success of the Apgar score demonstrates the astounding power of an appropriate clinical instrument. This down-to-earth book provides practical advice, underpinned by theoretical principles, on developing and evaluating measurement instruments in all fields of medicine. It equips you to choose the most appropriate instrument for specific purposes. The book covers measurement theories, methods and criteria for evaluating and selecting instruments. It provides methods to assess measurement properties, such as reliability, validity and responsiveness, and interpret the results. Worked examples and end-of-chapter assignments use real data and well-known instruments to build your skills at implementation and interpretation through hands-on analysis of real-life cases. All data and solutions are available online. This is a perfect course book for students and a perfect companion for professionals/researchers in the medical and health sciences who care about the quality and meaning of the

The success of the Apgar score demonstrates the astounding power of an appropriate clinical instrument. This down-to-earth book provides practical advice, underpinned by theoretical principles, on developing and evaluating measurement instruments in all fields of medicine. It equips you to choose the most appropriate instrument for specific purposes. The book covers measurement theories, methods and criteria for evaluating and selecting instruments. It provides methods to assess measurement properties, such as reliability, validity and responsiveness, and interpret the results. Worked examples and end-of-chapter assignments use real data and well-known instruments to build your skills at implementation and interpretation through hands-on analysis of real-life cases. All data and solutions are available online. This is a perfect course book for students and a perfect companion for professionals/researchers in the medical and health sciences who care about the quality and meaning of the

This is the first volume to explore the field of clinical magnetoencephalography (MEG) and magnetic source imaging (MSI), the techniques measuring the magnetic fields generated by neuronal activity in the brain. Describing the empirical knowledge gained during the last two decades, this book will serve as a basis for the training of clinicians and scientists entering this new and exciting field. The book covers the methods for recording MEG and performing MSI in a clinical setting and includes practical examples of data collection and analysis. It explains why MEG should be used in the evaluation and treatment of patients being considered for epilepsy surgery, concluding with a section describing the potential for future applications of these methods. This is essential reading for graduate students in clinical neuroscience, residents in neurology and psychiatry, neuroradiology and neurosurgery, specialists in neurophysiology and epilepsy, and clinicians in a wide range of related brain

Engineers face numerous uncertainties in the design and development of products and processes. To deal with the uncertainties inherent in measured information, they make use of a variety of statistical techniques. This 1999 book presents single-variable statistical distributions that are useful in engineering design and analysis. It lists significant properties of these distributions and describes methods for estimating parameters and their standard errors, constructing confidence intervals, testing hypotheses, and plotting data. Figures are used extensively to clarify concepts. Methods are illustrated by numerous fully worked examples in the form of Mathcad documents that readers can use as templates for their own data, eliminating the need for programming. Intended as both a text and reference, the book assumes an elementary knowledge of calculus and probability. Graduate and advanced undergraduate students, as well as practising engineers and scientists, will be able to use this bo

This volume provides a concise, historical review of the methods of structural analysis and design - from Galileo in the seventeenth century, to the present day. Through it, students in structural engineering and professional engineers will gain a deeper understanding of the theory behind the modern software packages they use daily in structural design. This book also offers the reader a lucid examination of the process of structural analysis and how it relates to modern design. The first three chapters cover questions about the strength of materials, and how to calculate local effects. An account is then given of the development of the equations of elastic flexure and buckling, followed by a separate chapter on masonry arches. Three chapters on the overall behaviour of elastic structures lead to a discussion of plastic behaviour, and a final chapter indicates that there are still problems needing solution.

This book presents a study of co-offering relations among youths under twenty-one suspected of criminal offences in Stockholm during 1991–5. In total, the study includes just over 22,000 individuals suspected of around 29,000 offences. Jerzy Sarnecki employs the methods of network analysis which makes it possible to study the ties, social bonds, interactions, differential associations and connections that are central to many of the sociologically oriented theories on the aetiology of crime. Up to now, network analysis has been used only rarely in the criminological context. The book discusses many aspects of Stockholm's delinquent networks such as the existence of delinquent gangs and a criminal underworld, the durability of delinquent relations, and the choice of co-offenders with respect to sex, age, residential location, ethnic background and earlier delinquent experience. It also considers the effects of societal intervention on criminal networks. This unique study will appeal to a

This book presents a study of co-offering relations among youths under twenty-one suspected of criminal offences in Stockholm during 1991–5. In total, the study includes just over 22,000 individuals suspected of around 29,000 offences. Jerzy Sarnecki employs the methods of network analysis which makes it possible to study the ties, social bonds, interactions, differential associations and connections that are central to many of the sociologically oriented theories on the aetiology of crime. Up to now, network analysis has been used only rarely in the criminological context. The book discusses many aspects of Stockholm's delinquent networks such as the existence of delinquent gangs and a criminal underworld, the durability of delinquent relations, and the choice of co-offenders with respect to sex, age, residential location, ethnic background and earlier delinquent experience. It also considers the effects of societal intervention on criminal networks. This unique study will appeal to a

This volume provides a concise, historical review of the methods of structural analysis and design - from Galileo in the seventeenth century, to the present day. Through it, students in structural engineering and professional engineers will gain a deeper understanding of the theory behind the modern software packages they use daily in structural design. This book also offers the reader a lucid examination of the process of structural analysis and how it relates to modern design. The first three chapters cover questions about the strength of materials, and how to calculate local effects. An account is then given of the development of the equations of elastic flexure and buckling, followed by a separate chapter on masonry arches. Three chapters on the overall behaviour of elastic structures lead to a discussion of plastic behaviour, and a final chapter indicates that there are still problems needing solution.

Fishes is a practical introduction to the study of fish remains from archaeological sites, designed for archaeologists and archaezoologists working in the field and in the laboratory. It provides clear guidelines for the identification of remains and how to interpret them. The identification and analysis of fish remains unearthed in archaeological excavations are invaluable factors in the reconstruction of climate, economic strategy, diet and trade. In this manual the authors discuss the importance of fishes in past economies and in archaeological research. They describe methods of extraction, fish anatomy and classification with the aid of numerous line drawings. The book also includes a survey of fishes most likely to be represented in archaeological sites and describes the biology of fishes in order to help archaeozoologists make informed judgements about methods of exploitation, size of fish caught and meat yield. This study is unique in making a realistic assessment of both the po

Information systems development is not merely a technical intervention but involves social and ethical dilemmas that affect the human, social and organizational domains. To demonstrate this point, the authors conduct a thorough and substantive description and analysis of the conceptual and philosophical underpinnings of systems development. In particular they analyse a number of systems development methodologies including structured methods, prototyping, ETHICS and Soft Systems Methodology to reveal the underlying conceptual and philosophical foundations. The book provides an in-depth analysis of data modelling theory and its links with theories of language and cognition. It offers a framework to describe and analyse different systems development approaches and to explain their strengths and weaknesses. The book is aimed at graduate students taking courses in information systems and data modelling, but will also appeal to information systems managers and professionals for whom the summ

Information systems development is not merely a technical intervention but involves social and ethical dilemmas that affect the human, social and organizational domains. To demonstrate this point, the authors conduct a thorough and substantive description and analysis of the conceptual and philosophical underpinnings of systems development. In particular they analyse a number of systems development methodologies including structured methods, prototyping, ETHICS and Soft Systems Methodology to reveal the underlying conceptual and philosophical foundations. The book provides an in-depth analysis of data modelling theory and its links with theories of language and cognition. It offers a framework to describe and analyse different systems development approaches and to explain their strengths and weaknesses. The book is aimed at graduate students taking courses in information systems and data modelling, but will also appeal to information systems managers and professionals for whom the summ

Comparing Media Systems Beyond the Western World offers a broad exploration of the conceptual foundations for comparative analysis of media and politics globally. It takes as its point of departure the widely used framework of Hallin and Mancini's Comparing Media Systems, exploring how the concepts and methods of their analysis do and do not prove useful when applied beyond the original focus of their 'most similar systems' design and the West European and North American cases it encompassed. It is intended both to use a wider range of cases to interrogate and clarify the conceptual framework of Comparing Media Systems and to propose new models, concepts and approaches that will be useful for dealing with non-Western media systems and with processes of political transition. Comparing Media Systems Beyond the Western World covers, among other cases, Brazil, China, Israel, Lebanon, Lithuania, Poland, Russia, Saudi Arabia, South Africa and Thailand.

Comparing Media Systems Beyond the Western World offers a broad exploration of the conceptual foundations for comparative analysis of media and politics globally. It takes as its point of departure the widely used framework of Hallin and Mancini's Comparing Media Systems, exploring how the concepts and methods of their analysis do and do not prove useful when applied beyond the original focus of their 'most similar systems' design and the West European and North American cases it encompassed. It is intended both to use a wider range of cases to interrogate and clarify the conceptual framework of Comparing Media Systems and to propose new models, concepts and approaches that will be useful for dealing with non-Western media systems and with processes of political transition. Comparing Media Systems Beyond the Western World covers, among other cases, Brazil, China, Israel, Lebanon, Lithuania, Poland, Russia, Saudi Arabia, South Africa and Thailand.

From Picasso's Cubism and Duchamp's readymades to Warhol's silkscreens and Smithson's earthworks, the art of the twentieth century broke completely with earlier artistic traditions. A basic change in the market for advanced art produced a heightened demand for innovation, and young conceptual innovators – from Picasso and Duchamp to Rauschenberg and Warhol to Cindy Sherman and Damien Hirst – responded not only by creating dozens of new forms of art, but also by behaving in ways that would have been incomprehensible to their predecessors. Conceptual Revolutions in Twentieth-Century Art presents the first systematic analysis of the reasons for this discontinuity. David W. Galenson, whose earlier research has changed our understanding of creativity, combines social scientific methods with qualitative analysis to produce a fundamentally new interpretation of modern art that will give readers a far deeper appreciation of the art of the past century, and of today, than is available elsewhere

From Picasso's Cubism and Duchamp's readymades to Warhol's silkscreens and Smithson's earthworks, the art of the twentieth century broke completely with earlier artistic traditions. A basic change in the market for advanced art produced a heightened demand for innovation, and young conceptual innovators – from Picasso and Duchamp to Rauschenberg and Warhol to Cindy Sherman and Damien Hirst – responded not only by creating dozens of new forms of art, but also by behaving in ways that would have been incomprehensible to their predecessors. Conceptual Revolutions in Twentieth-Century Art presents the first systematic analysis of the reasons for this discontinuity. David W. Galenson, whose earlier research has changed our understanding of creativity, combines social scientific methods with qualitative analysis to produce a fundamentally new interpretation of modern art that will give readers a far deeper appreciation of the art of the past century, and of today, than is available elsewhere

The problem of evaluating integrals is well known to every student who has had a year of calculus. It was an especially important subject in 19th century analysis and it has now been revived with the appearance of symbolic languages. In this book, the authors use the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics. The questions discussed in this book, first published in 2004, are as old as calculus itself. In presenting the combination of methods required for the evaluation of most integrals, the authors take the most interesting, rather than the shortest, path to the results. Along the way, they illuminate connections with many subjects, including analysis, number theory, algebra and combinatorics. This will be a guided tour of exciting discovery for undergraduates and their teachers in mathematics, computer science, physics, and engineering.

Applied econometrics, known to aficionados as 'metrics, encompasses the statistical methods economists use to untangle cause and effect in human affairs. Through accessible discussion and with a dose of kung fu-themed humor, Mastering 'Metrics presents the essential tools of econometric research and demonstrates why econometrics is exciting and useful.The five most valuable econometric methods, or what the authors call the Furious Five--random assignment, regression, instrumental variables, regression discontinuity designs, and differences in differences--are illustrated through well-crafted real-world examples (vetted for awesomeness by Kung Fu Panda's Jade Palace). Does health insurance make you healthier? Randomized experiments provide answers. Are expensive private colleges and selective public high schools better than more pedestrian institutions? Regression analysis and a regression discontinuity design reveal the surprising truth. When private banks teeter, and depositors take t

This book introduces basic and advanced concepts of categorical regression with a focus on the structuring constituents of regression, including regularization techniques to structure predictors. In addition to standard methods such as the logit and probit model and extensions to multivariate settings, the author presents more recent developments in flexible and high-dimensional regression, which allow weakening of assumptions on the structuring of the predictor and yield fits that are closer to the data. A generalized linear model is used as a unifying framework whenever possible in particular parametric models that are treated within this framework. Many topics not normally included in books on categorical data analysis are treated here, such as nonparametric regression; selection of predictors by regularized estimation procedures; ternative models like the hurdle model and zero-inflated regression models for count data; and non-standard tree-based ensemble methods. The book is accom

Recent work in artificial intelligence has increasingly turned to argumentation as a rich, interdisciplinary area of research that can provide new methods related to evidence and reasoning in the area of law. Douglas Walton provides an introduction to basic concepts, tools and methods in argumentation theory and artificial intelligence as applied to the analysis and evaluation of witness testimony. He shows how witness testimony is by its nature inherently fallible and sometimes subject to disastrous failures. At the same time such testimony can provide evidence that is not only necessary but inherently reasonable for logically guiding legal experts to accept or reject a claim. Walton shows how to overcome the traditional disdain for witness testimony as a type of evidence shown by logical positivists, and the views of trial sceptics who doubt that trial rules deal with witness testimony in a way that yields a rational decision-making process.

Recent work in artificial intelligence has increasingly turned to argumentation as a rich, interdisciplinary area of research that can provide new methods related to evidence and reasoning in the area of law. Douglas Walton provides an introduction to basic concepts, tools and methods in argumentation theory and artificial intelligence as applied to the analysis and evaluation of witness testimony. He shows how witness testimony is by its nature inherently fallible and sometimes subject to disastrous failures. At the same time such testimony can provide evidence that is not only necessary but inherently reasonable for logically guiding legal experts to accept or reject a claim. Walton shows how to overcome the traditional disdain for witness testimony as a type of evidence shown by logical positivists, and the views of trial sceptics who doubt that trial rules deal with witness testimony in a way that yields a rational decision-making process.

Rational choice approaches to the study of politics are of great and growing prominence in political science. There are an increasing number of collections devoted to the methods of rational choice theory and specialised monographs applying it to individual topics. The present volume is a collection of substantive applications of rational choice theory in three of the main fields of political inquiry: comparative politics, international relations and political theory. The essays gathered here represent work by many of the most outstanding scholars in the discipline, showing how rational choice theory may be employed in the analysis of fundamental political questions.