Pattern Classification Using Ensemble Methods

Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for stude

The origins of angiosperms are still debated, despite many years of work by scientists from differing disciplines. The progress made toward resolving the problem is reviewed in this book. The author suggests that the only fruitful method of study is the total integrated use of the fossil record, particularly dispersed palynomorphs. This includes the use of electron microscopy and refined data handling to record the occurrence of microscopic fossils, rather than the extensive use of morphology and cladistics. The methods advocated in this book could result in a rethink of the current classification of living plants. The ideas presented will initiate discussion between both professionals and students of palaeontology and plant science on the wider possibilities that may clarify the enigmatic origins of the dominant flowering plant groups.

This book provides a self-contained introduction to cellular automata and lattice Boltzmann techniques. Beginning with a chapter introducing the basic concepts of this developing field, a second chapter describes methods used in cellular automata modeling. Following chapters discuss the statistical mechanics of lattice gases, diffusion phenomena, reaction-diffusion processes and non-equilibrium phase transitions. A final chapter looks at other models and applications, such as wave propagation and multiparticle fluids. With a pedagogic approach, the volume focuses on the use of cellular automata in the framework of equilibrium and non-equilibrium statistical physics. It also emphasises application-oriented problems such as fluid dynamics and pattern formation. The book contains many examples and problems. A glossary and a detailed bibliography are also included. This will be a valuable book for graduate students and researchers working in statistical physics, solid state physics, chemic

Dr Frankel's study of the rapid transformation of traditional medical care among the Huli of New Guinea by Western treatments strikingly combines the methods of social anthropology and epidemiology. Until the 1950s the Huli used only their own form of therapy, including symptomatic treatments, specialist surgery and major ritual intended to enlist the support of spirits. Since then, superficially at least, there has been a rejection of many traditional measures and a corresponding enthusiasm for Western treatments underpinned by Christianity. The Huli Response to Illness analyses the rich network of traditional belief relating to the classification and causation of illness, patterns of disease, historical experience, and the organisation of society. The methodological approach presented is notable not only for the study of medical pluralism, but also for examining the conditions which may influence responses to programmes of health improvement. The study as a whole integrates material

Models and Methods in Social Network Analysis, first published in 2005, presents the most important developments in quantitative models and methods for analyzing social network data that have appeared during the 1990s. Intended as a complement to Wasserman and Faust's Social Network Analysis: Methods and Applications, it is a collection of articles by leading methodologists reviewing advances in their particular areas of network methods. Reviewed are advances in network measurement, network sampling, the analysis of centrality, positional analysis or blockmodelling, the analysis of diffusion through networks, the analysis of affiliation or 'two-mode' networks, the theory of random graphs, dependence graphs, exponential families of random graphs, the analysis of longitudinal network data, graphical techniques for exploring network data, and software for the analysis of social networks.

Models and Methods in Social Network Analysis, first published in 2005, presents the most important developments in quantitative models and methods for analyzing social network data that have appeared during the 1990s. Intended as a complement to Wasserman and Faust's Social Network Analysis: Methods and Applications, it is a collection of articles by leading methodologists reviewing advances in their particular areas of network methods. Reviewed are advances in network measurement, network sampling, the analysis of centrality, positional analysis or blockmodelling, the analysis of diffusion through networks, the analysis of affiliation or 'two-mode' networks, the theory of random graphs, dependence graphs, exponential families of random graphs, the analysis of longitudinal network data, graphical techniques for exploring network data, and software for the analysis of social networks.

Since this Companion to the New Testament was first published in 1970, new methods of interpretation and sustained research into the environment of Jesus, and the early church, have combined to correct former misunderstandings and to set old problems in a new light. This fully revised second edition now follows the New Revised Standard Version (NRSV) to provide a running commentary on the text of the New Testament while taking account of the findings of recent scholarship. Using no technical language, it aims to set the text in the context of the time and place in which it was written, and to clarify its meaning in the light of modern methods of research and interpretation. Accessible and up-to-date, this work will be invaluable to clergy, students and all who have a serious interest in the New Testament.

Since this Companion to the New Testament was first published in 1970, new methods of interpretation and sustained research into the environment of Jesus, and the early church, have combined to correct former misunderstandings and to set old problems in a new light. This fully revised second edition now follows the New Revised Standard Version (NRSV) to provide a running commentary on the text of the New Testament while taking account of the findings of recent scholarship. Using no technical language, it aims to set the text in the context of the time and place in which it was written, and to clarify its meaning in the light of modern methods of research and interpretation. Accessible and up-to-date, this work will be invaluable to clergy, students and all who have a serious interest in the New Testament.

This book describes and illustrates in detail the 760 species of mosses currently known to occur in the British Isles and incorporates the most up-to-date information available on classification and nomenclature, together with recent synonyms. The species descriptions provide information on frequency, ecology, geographical relationships and distribution, including information on protected species and those species at risk. For many species there are footnotes to aid identification. In addition to the species descriptions there are descriptions of families and genera and also introductory information on conservation, collection, preservation and examination of material, together with advice on using the keys. An artificial key to genera provides the only workable comprehensive key published in the English language. This second edition incorporates the very considerable advances in our knowledge of mosses made in the last quarter of the twentieth century and will provide a unique resourc

This book shows that Holocene human ecosystems are complex adaptive systems in which humans interacted with their environment in a nested series of spatial and temporal scales. Using panarchy theory, it integrates paleoecological and archaeological research from the Eastern Woodlands of North America providing a paradigm to help resolve long-standing disagreements between ecologists and archaeologists about the importance of prehistoric Native Americans as agents for ecological change. The authors present the concept of a panarchy of complex adaptive cycles as applied to the development of increasingly complex human ecosystems through time. They explore examples of ecological interactions at the level of gene, population, community, landscape and regional hierarchical scales, emphasizing the ecological pattern and process involving the development of human ecosystems. Finally, they offer a perspective on the implications of the legacy of Native Americans as agents of change for conserv

Fundamentals of Seismic Wave Propagation, published in 2004, presents a comprehensive introduction to the propagation of high-frequency body-waves in elastodynamics. The theory of seismic wave propagation in acoustic, elastic and anisotropic media is developed to allow seismic waves to be modelled in complex, realistic three-dimensional Earth models. This book provides a consistent and thorough development of modelling methods widely used in elastic wave propagation ranging from the whole Earth, through regional and crustal seismology, exploration seismics to borehole seismics, sonics and ultrasonics. Particular emphasis is placed on developing a consistent notation and approach throughout, which highlights similarities and allows more complicated methods and extensions to be developed without difficulty. This book is intended as a text for graduate courses in theoretical seismology, and as a reference for all academic and industrial seismologists using numerical modelling methods. Exe

In order to gain an understanding of the dynamics of human individual and average growth patterns it is essential that the right methods are selected. There are a variety of methods available to analyse individual growth patterns, to estimate variation in different growth measures in populations and to relate genetic and environmental factors to individual and average growth. This volume provides an overview of modern techniques for the assessment and collection of growth data and methods of analysis for individual and population growth data. The book contains the basic mathematical and statistical tools required to understand the concepts of the methods under discussion and worked examples of analyses, but it is neither a mathematical treatise, nor a recipe book for growth data analysis. Aimed at junior and senior researchers involved in the analysis of human growth data, this book will be an essential reference for anthropologists, auxologists and paediatricians.

Event History Modeling, first published in 2004, provides an accessible guide to event history analysis for researchers and advanced students in the social sciences. The substantive focus of many social science research problems leads directly to the consideration of duration models, and many problems would be better analyzed by using these longitudinal methods to take into account not only whether the event happened, but when. The foundational principles of event history analysis are discussed and ample examples are estimated and interpreted using standard statistical packages, such as STATA and S-Plus. Critical innovations in diagnostics are discussed, including testing the proportional hazards assumption, identifying outliers, and assessing model fit. The treatment of complicated events includes coverage of unobserved heterogeneity, repeated events, and competing risks models. The authors point out common problems in the analysis of time-to-event data in the social sciences and make

Event History Modeling, first published in 2004, provides an accessible guide to event history analysis for researchers and advanced students in the social sciences. The substantive focus of many social science research problems leads directly to the consideration of duration models, and many problems would be better analyzed by using these longitudinal methods to take into account not only whether the event happened, but when. The foundational principles of event history analysis are discussed and ample examples are estimated and interpreted using standard statistical packages, such as STATA and S-Plus. Critical innovations in diagnostics are discussed, including testing the proportional hazards assumption, identifying outliers, and assessing model fit. The treatment of complicated events includes coverage of unobserved heterogeneity, repeated events, and competing risks models. The authors point out common problems in the analysis of time-to-event data in the social sciences and make

Andrea Wiley investigates the ecological, historical, and socio-cultural factors that contribute to the peculiar pattern of infant mortality in Ladakh, a high-altitude region in the western Himalayas of India. Ladakhi newborns are extremely small at birth, smaller than those in other high-altitude populations, smaller still than those in sea level regions. Factors such as hypoxia, dietary patterns, the burden of women's work, gender, infectious diseases, seasonality, and use of local health resources all affect a newborn's birth weight and raise the likelihood of infant mortality. An Ecology of High-Altitude Infancy is unique in that it makes use of the methods of human biology but strongly emphasizes the ethnographic context that gives human biological measures their meaning. It is an example of a new genre of anthropological work: 'ethnographic human biology'.

Andrea Wiley investigates the ecological, historical, and socio-cultural factors that contribute to the peculiar pattern of infant mortality in Ladakh, a high-altitude region in the western Himalayas of India. Ladakhi newborns are extremely small at birth, smaller than those in other high-altitude populations, smaller still than those in sea level regions. Factors such as hypoxia, dietary patterns, the burden of women's work, gender, infectious diseases, seasonality, and use of local health resources all affect a newborn's birth weight and raise the likelihood of infant mortality. An Ecology of High-Altitude Infancy is unique in that it makes use of the methods of human biology but strongly emphasizes the ethnographic context that gives human biological measures their meaning. It is an example of a new genre of anthropological work: 'ethnographic human biology'.

Using multiple data sources and methods, this book involves a micro-historical analysis of the nature of change and stability in homicide situations over time. It focuses on the homicide situation as the unit of analysis, and explores similarities and differences in the context of homicide for different social groups. For example, using Qualitative Comparative Analysis, we investigate whether various social groups (e.g., men vs women, teenagers vs adults, strangers vs intimates, Blacks vs Whites) kill under qualitatively different circumstances and, if so, what are the characteristics of these unique profiles. The analysis of over 400,000 US homicides is supplemented with qualitative analysis of narrative accounts of homicide events to more fully investigate the structure and process underlying these lethal situations. Our findings of unique and common homicide situations across different time periods and social groups are then discussed in terms of their implications for criminologica

Using multiple data sources and methods, this book involves a micro-historical analysis of the nature of change and stability in homicide situations over time. It focuses on the homicide situation as the unit of analysis, and explores similarities and differences in the context of homicide for different social groups. For example, using Qualitative Comparative Analysis, we investigate whether various social groups (e.g., men vs women, teenagers vs adults, strangers vs intimates, Blacks vs Whites) kill under qualitatively different circumstances and, if so, what are the characteristics of these unique profiles. The analysis of over 400,000 US homicides is supplemented with qualitative analysis of narrative accounts of homicide events to more fully investigate the structure and process underlying these lethal situations. Our findings of unique and common homicide situations across different time periods and social groups are then discussed in terms of their implications for criminologica

Using the United States as a basis of comparison, this book makes extensive use of roll call data to explore patterns of legislative politics in Argentina, Brazil, Chile and Uruguay. It distinguishes among parties, factions, coalitions and delegations based on the extent to which they are unified in their voting and/or willing to form policy coalitions with other legislative 'agents'. It discusses the voting unity and ballot systems that allow voters to identify an agent, and describes the degree to which those agents have been flexible with regards to the formation of policy coalitions. It also shows that the US parties have exhibited higher levels of unity but less flexibility in recent years, and thus contrast the prevailing pattern in Latin America. The book focuses its explanation for the patterns on the role of candidate nominations, other aspects of the electoral system and the legislators' ideological alignments.

Space-time coding is a technique that promises greatly improved performance in wireless networks by using multiple antennas at the transmitter and receiver. Space-Time Block Coding for Wireless Communications, first published in 2003, is an introduction to the theory of this technology. The authors develop the topic using a unified framework and cover a variety of topics ranging from information theory to performance analysis and space-time coding methods for both flat and frequency-selective fading multiple-antenna channels. The authors concentrate on key principles rather than specific practical applications, and present the material in a concise and accessible manner. Their treatment reviews the fundamental aspects of multiple-input, multiple-output communication theory, and guides the reader through a number of topics at the forefront of research and development. The book includes homework exercises and is aimed at graduate students and researchers working on wireless communication

Permutation group algorithms are one of the workhorses of symbolic algebra systems computing with groups. They played an indispensable role in the proof of many deep results, including the construction and study of sporadic finite simple groups. This book describes the theory behind permutation group algorithms, including developments based on the classification of finite simple groups. Rigorous complexity estimates, implementation hints, and advanced exercises are included throughout. The central theme is the description of nearly linear time algorithms, which are extremely fast both in terms of asymptotic analysis and of practical running time. A significant part of the permutation group library of the computational group algebra system GAP is based on nearly linear time algorithms. The book fills a significant gap in the symbolic computation literature. It is recommended for everyone interested in using computers in group theory, and is suitable for advanced graduate courses.

In this short and very practical 2002 introduction to econometrics Philip Hans Franses guides the reader through the essential concepts of econometrics. Central to the book are practical questions in various economic disciplines, which can be answered using econometric methods and models. The book focuses on a limited number of the essential, most widely used methods, before going on to review the basics of econometrics. The book ends with a number of case studies drawn from recent empirical work to provide an intuitive illustration of what econometricians do when faced with practical questions. Throughout the book Franses emphasises the importance of specification, evaluation and implementation of models appropriate to the data. Assuming basic familiarity only with matrix algebra and calculus the book is designed to appeal as either a short stand-alone introduction for students embarking on an empirical research project or as a supplement to any standard introductory textbook.

This book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for al

High-order numerical methods provide an efficient approach to simulating many physical problems. This book considers the range of mathematical, engineering, and computer science topics that form the foundation of high-order numerical methods for the simulation of incompressible fluid flows in complex domains. Introductory chapters present high-order spatial and temporal discretizations for one-dimensional problems. These are extended to multiple space dimensions with a detailed discussion of tensor-product forms, multi-domain methods, and preconditioners for iterative solution techniques. Numerous discretizations of the steady and unsteady Stokes and Navier-Stokes equations are presented, with particular attention given to enforcement of incompressibility. Advanced discretizations, implementation issues, and parallel and vector performance are considered in the closing sections. Numerous examples are provided throughout to illustrate the capabilities of high-order methods in actual app

An essential textbook for any student or researcher in biology needing to design experiments, sample programs or analyse the resulting data. The text begins with a revision of estimation and hypothesis testing methods, covering both classical and Bayesian philosophies, before advancing to the analysis of linear and generalized linear models. Topics covered include linear and logistic regression, simple and complex ANOVA models (for factorial, nested, block, split-plot and repeated measures and covariance designs), and log-linear models. Multivariate techniques, including classification and ordination, are then introduced. Special emphasis is placed on checking assumptions, exploratory data analysis and presentation of results. The main analyses are illustrated with many examples from published papers and there is an extensive reference list to both the statistical and biological literature. The book is supported by a website that provides all data sets, questions for each chapter and l

This is the second volume in a two-volume set, which provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. The second volume contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well as in some non-abelian groups. The central part is the classification of the amalgam of maximal parabolics, associated with a flag transitive action on a Petersen or tilde geometry. The classification is based on the method of group amalgam, the most promising tool in modern finite group theory. Via their systematic treatment of group amalgams, the authors establish a deep and important mathematical result. This book will be of great interest to researchers in finite group theory, finite geometries and algebraic combinatorics.

Provides an innovative hands-on introduction to techniques for specifying the behaviour of software components. It is primarily intended for use as a text book for a course in the 2nd or 3rd year of Computer Science and Computer Engineering programs, but it is also suitable for self-study. Using this book will help the reader improve programming skills and gain a sound foundation and motivation for subsequent courses in advanced algorithms and data structures, software design, formal methods, compilers, programming languages, and theory. The presentation is based on numerous examples and case studies appropriate to the level of programming expertise of the intended readership. The main topics covered are techniques for using programmer-friendly assertional notations to specify, develop, and verify small but non-trivial algorithms and data representations, and the use of state diagrams, grammars, and regular expressions to specify and develop recognizers for formal languages.

Provides an innovative hands-on introduction to techniques for specifying the behaviour of software components. It is primarily intended for use as a text book for a course in the 2nd or 3rd year of Computer Science and Computer Engineering programs, but it is also suitable for self-study. Using this book will help the reader improve programming skills and gain a sound foundation and motivation for subsequent courses in advanced algorithms and data structures, software design, formal methods, compilers, programming languages, and theory. The presentation is based on numerous examples and case studies appropriate to the level of programming expertise of the intended readership. The main topics covered are techniques for using programmer-friendly assertional notations to specify, develop, and verify small but non-trivial algorithms and data representations, and the use of state diagrams, grammars, and regular expressions to specify and develop recognizers for formal languages.

There have been substantial developments in the methodologies available for the non-destructive and non-invasive measurement of body composition in animals. By bringing together in a single volume a mix of traditional and well-established analytical methods with more modern techniques, Body Composition Analysis: A Handbook of Non-destructive Methods provides a theoretical overview of different methodologies combined with practical advice on the use of these techniques. Methods covered include the use of destructive methods of analysis, body condition indices, isotope and gas dilution methods, total body electrical conductivity, bio-impedance analysis, ultrasound scanning and dual energy X-ray absorptiometry. Aimed at active research workers from advanced undergraduate level upwards, this book will be of particular interest to those working in the fields of animal ecology, conservation biology, animal nutrition and physiology.

This book presents the concepts, methods and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are later used to deal with two- and three-dimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, chemical reactions. A special chapter is devoted to evaporation and condensation phenomena. Each section is accompanied by problems which are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics.

This book presents the concepts, methods and applications of kinetic theory to rarefied gas dynamics. After introducing the basic tools, problems in plane geometry are treated using approximation techniques (perturbation and numerical methods). These same techniques are later used to deal with two- and three-dimensional problems. The models include not only monatomic but also polyatomic gases, mixtures, chemical reactions. A special chapter is devoted to evaporation and condensation phenomena. Each section is accompanied by problems which are mainly intended to demonstrate the use of the material in the text and to outline additional subjects, results and equations. This will help ensure that the book can be used for a range of graduate courses in aerospace engineering or applied mathematics.

Computer vision aims to detect and reconstruct features of surfaces from the images produced by cameras, in some way mimicking the way in which humans reconstruct features of the world around them by using their eyes. In this book the authors describe research in computer vision aimed at recovering the 3D shape of surfaces from image sequences of their 'outlines'. They provide all the necessary background in differential geometry (assuming knowledge of elementary algebra and calculus) and in the analysis of visual motion, emphasising intuitive visual understanding of the geometric techniques with computer-generated illustrations. They also give a thorough introduction to the mathematical techniques and the details of the implementations and apply the methods to data from real images using the most current techniques.

Models as Mediators discusses the ways in which models function in modern science, particularly in the fields of physics and economics. Models play a variety of roles in the sciences: they are used in the development, exploration and application of theories and in measurement methods. They also provide instruments for using scientific concepts and principles to intervene in the world. The editors provide a framework which covers the construction and function of scientific models, and explore the ways in which they enable us to learn about both theories and the world. The contributors to the volume offer their own individual theoretical perspectives to cover a wide range of examples of modelling, from physics, economics and chemistry. These papers provide ideal case-study material for understanding both the concepts and typical elements of modelling, using analytical approaches from the philosophy and history of science.

Models as Mediators discusses the ways in which models function in modern science, particularly in the fields of physics and economics. Models play a variety of roles in the sciences: they are used in the development, exploration and application of theories and in measurement methods. They also provide instruments for using scientific concepts and principles to intervene in the world. The editors provide a framework which covers the construction and function of scientific models, and explore the ways in which they enable us to learn about both theories and the world. The contributors to the volume offer their own individual theoretical perspectives to cover a wide range of examples of modelling, from physics, economics and chemistry. These papers provide ideal case-study material for understanding both the concepts and typical elements of modelling, using analytical approaches from the philosophy and history of science.

Migration and colonization are major forces affecting the frequency, spatial pattern and spread of genes in human populations. Here, Alan Fix reviews theories of migration developed by biologists and social scientists and surveys patterns of migration in a diverse sample of human populations. Using these empirical studies, he evaluates models of migration developed by population geneticists and explores more realistic models using computer simulation. He then shows the relevance of studies of migration as a microevolutionary process to the understanding of longer term global patterns of human diversification, by examining the spread of anatomically modern Homo sapiens, the demic diffusion of agriculture in Europe, and the origins of human diversity in the Malayan Peninsula. By focusing on migration as a process rather than as its genetic consequences, the book provides a bridge between biological and social science studies of migration, genetic microevolutionary theory and longer term

This is a compact, composite and authoritative survey of the history and development of the cello and its repertory since the origins of the instrument. The volume comprises thirteen essays, written by a team of nine distinguished scholars and performers, and is intended to develop the cello's historical perspective in breadth and from every relevant angle, offering as comprehensive a coverage as possible. It focuses in particular on four principal areas: the instrument's structure, development and fundamental acoustical principles; the careers of the most distinguished cellists since the baroque era; the cello repertory (including chapters devoted to the concerto, the sonata, other solo repertory, and ensemble music); and its technique, teaching methods and relevant aspects of historical and performance practice. It is the most comprehensive book ever to be published about the instrument and provides essential information for performers, students and teachers.

This new edition of Professor Sethian's successful text provides an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. They rely on a fundamental shift in how one views moving boundaries; rethinking the natural geometric Lagrangian perspective and exchanging it for an Eulerian, initial value partial differential equation perspective. For this edition, the collection of applications provided in the text has been expanded, including examples from physics, chemistry, fluid mechanics, combustion, image processing, material science, fabrication of microelectronic components, computer vision, computer-aided design, and optimal control theory. This book will be a useful resource for mathematicians, applied scientists, practising engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces.

Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws, describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.

Intellectual disability - ranging from what is more commonly described as 'mental retardation' to 'learning difficulties' - is a socially constructed phenomenon that varies in important respects cross-culturally. This collection of original essays examines the classification of people as competent and incompetent in the United States, England, Wales, Greece, Greenland, Uganda, and Belize. The contributors, anthropologists and sociologists, argue that it is time for a new understanding of intellectual disability. In contrast to medical and psychological models, a social model of intellectual disability emphasises the cultural and individual variability of incompetence, the intimate relationship between cultural categories of competence and incompetence, and the role of social interaction and networks in its social construction. This book Is an original contribution to ongoing theoretical and policy debates about disability.

Permutation groups are one of the oldest topics in algebra. However, their study has recently been revolutionised by new developments, particularly the classification of finite simple groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that can deal with large permutation groups. This book gives a summary of these developments, including an introduction to relevant computer algebra systems, sketch proofs of major theorems, and many examples of applying the classification of finite simple groups. It is aimed at beginning graduate students and experts in other areas, and grew from a short course at the EIDMA institute in Eindhoven.