Basic Methods of Linear Functional Analysis

The middle-class condition, seen during the twentieth century as both the symbol of progress and order and the means to achieve it, has largely evaded historical analysis. Blending historical methods

* What do we mean by discourse?* What are the different conceptions of discourse and methods of discourse analysis in the contemporary social sciences?* How can this concept help to clarify key theore

Developed as a tool to help you integrate various forms of media, Seeing & Believing offers a practical approach to basic theory in media literacy and the analysis of both still and moving images.

This superb introductory guide explains the basic principles underlying the construction and analysis of disease maps. Growing public awareness of environmental hazards has increased the demand for in

In this cogently and elegantly argued analysis of why human beings persist in engaging in behavior that defies time-honored economic theory, Ormerod also explains why governments and industries throu

Natural Language Semantics discusses fundamental concepts for linguistic semantics. This book combines theoretical explanations of several methods of inquiry with detailed semantic analysis and emphas

Natural Language Semantics discusses fundamental concepts for linguistic semantics. This book combines theoretical explanations of several methods of inquiry with detailed semantic analysis and emphas

A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.

In Econometrics the author has provided a text that bridges the gap between classical econometrics (with an emphasis on linear methods such as OLS, GLS and instrumental variables) and some of the key

For undergraduate students in civil and mechanical engineering whose main interest is in stress analysis and heat transfer, Logan (U. of Wisconsin-Platteville) provides a simple and basic approach to

This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. Its organization draws strong analogies with the basic ideas of elementar

This pioneering book is based upon very extensive analysis of the famous 1851 Census of Religious Worship and earlier sources such as the 1676 Compton Census. The authors stress contextual and regional understanding of religion. Among the subjects covered for all of England and Wales are the geography of the Church of England, Roman Catholicism, the old and new dissenting denominations, the spatial complementarity of denominations, and their importance for political history. A range of further questions are then analysed, such as regional continuities in religion, the growth of religious pluralism, Sunday schools and child labour during industrialisation, free and appropriated church sittings, landownership and religion, and urbanisation and regional 'secularisation'. This book's advanced methods and findings will have far-reaching influence within the disciplines of history, historical and cultural geography, religious sociology and in the social science community general.

This textbook introduces students progressively to various aspects of qualitative models and assumes a knowledge of basic principles of statistics and econometrics. Inferring qualitative characteristics of data on socioeconomic class, education, employment status, and the like - given their discrete nature - requires an entirely different set of tools from those applied to purely quantitative data. Written in accessible language and offering cogent examples, students are given valuable means to gauge real-world economic phenomena. After the introduction, early chapters present models with endogenous qualitative variables, examining dichotomous models, model specification, estimation methods, descriptive usage, and qualitative panel data. Professor Gourieroux also looks at Tobit models, in which the exogenous variable is sometimes qualitative and sometimes quantitative, and changing-regime models, in which the dependent variable is qualitative but expressed in quantitative terms. The fi

This textbook introduces students progressively to various aspects of qualitative models and assumes a knowledge of basic principles of statistics and econometrics. Inferring qualitative characteristics of data on socioeconomic class, education, employment status, and the like - given their discrete nature - requires an entirely different set of tools from those applied to purely quantitative data. Written in accessible language and offering cogent examples, students are given valuable means to gauge real-world economic phenomena. After the introduction, early chapters present models with endogenous qualitative variables, examining dichotomous models, model specification, estimation methods, descriptive usage, and qualitative panel data. Professor Gourieroux also looks at Tobit models, in which the exogenous variable is sometimes qualitative and sometimes quantitative, and changing-regime models, in which the dependent variable is qualitative but expressed in quantitative terms. The fi

This book demonstrates that the state-contingent approach provides the best way to think about all problems in the economics of uncertainty, including problems of consumer choice, the theory of the firm, and principal agent relationships. The authors demonstrate that dual methods apply under uncertainty and that the dual representations can be developed for stochastic technologies. Moreover, proper exploitation of the properties of alternative primal and dual representations of preferences allows analysts to generalize and extend the results of the existing literature on preferences under uncertainty, thus making expected-utility theory largely superfluous for many decisions. These insights open the way for developments in the basic theory of production under uncertainty, the theory of hedging behavior, the analysis of agency problems and the theory of production insurance.

This book deals with automorphism groups of compact Riemann surfaces, of genus at least two, viewed as factor groups of Fuchsian groups. The author uses modern methods from computational group theory and representation theory, providing classifications of all automorphism groups up to genus 48. The book also classifies the ordinary characters for several groups, arising from the action of automorphisms on the space of holomorphic abelian differentials of a compact Reimann surface. This book is suitable for graduate students and researchers in group theory, representation theory, complex analysis and computer algebra.

This book demonstrates that the state-contingent approach provides the best way to think about all problems in the economics of uncertainty, including problems of consumer choice, the theory of the firm, and principal agent relationships. The authors demonstrate that dual methods apply under uncertainty and that the dual representations can be developed for stochastic technologies. Moreover, proper exploitation of the properties of alternative primal and dual representations of preferences allows analysts to generalize and extend the results of the existing literature on preferences under uncertainty, thus making expected-utility theory largely superfluous for many decisions. These insights open the way for developments in the basic theory of production under uncertainty, the theory of hedging behavior, the analysis of agency problems and the theory of production insurance.

This book presents and develops the basic methods and models that are used by demographers to study the behaviour of human populations. The procedures are clearly and concisely developed from first pr

A text emphasizing real application and implications of statistics in engineering practice. Practical issues of engineering data collection receive early consideration, as do descriptive and graphical

Translating advances in basic science into clinical care for the patient, this greatly needed reference provides an exclusive focus and comprehensive analysis of the physiology, pathophysiology, and m

Many man-made materials and naturally occurring substances are aggregates of crystals, or polycrystals, with a non-random distribution of orientations. In such textured polycrystals, many macroscopic physical properties are anisotropic, i.e. they depend on direction. This book is about the measurement and analysis of textures, the prediction of polycrystal properties from measured textures and known single crystal properties, and the prediction of the development of texture and the ensuing anisotropic properties during elastic and plastic deformation. It also gives an overview of observed textures in metals, ceramics and rocks. There is a balance between theoretical concepts and experimental techniques. The book addresses several issues. Part I provides tools and describes methods to obtain quantitative data on textures of polycrystals. It should be of interest to experimentalists. Part II emphasizes modeling of deformation and incorporates theoretical concepts of mechanics. Part III i

Recently molecular biology has undergone unprecedented development generating vast quantities of data needing sophisticated computational methods for analysis, processing and archiving. This requireme

Recently molecular biology has undergone unprecedented development generating vast quantities of data needing sophisticated computational methods for analysis, processing and archiving. This requirem

This book provides an introduction to applied statistical mechanics by considering physically realistic models. It provides a simple and accessible introduction to theories of thermal fluctuations and diffusion, and goes on to apply them in a variety of physical contexts. The first part of the book is devoted to processes in thermal equilibrium, and considers linear systems. Ideas central to the subject, such as the fluctuation dissipation theorem, Fokker–Planck equations and the Kramers–Kroenig relations are introduced during the course of the exposition. The scope is then expanded to include non-equilibrium systems and also illustrates simple nonlinear systems. This book will be of interest to final year undergraduate and graduate students studying statistical mechanics, plasma physics, basic electronics, solid state physics and anyone who wants an accessible introduction to the subject.

This book provides an introduction to applied statistical mechanics by considering physically realistic models. It provides a simple and accessible introduction to theories of thermal fluctuations and diffusion, and goes on to apply them in a variety of physical contexts. The first part of the book is devoted to processes in thermal equilibrium, and considers linear systems. Ideas central to the subject, such as the fluctuation dissipation theorem, Fokker–Planck equations and the Kramers–Kroenig relations are introduced during the course of the exposition. The scope is then expanded to include non-equilibrium systems and also illustrates simple nonlinear systems. This book will be of interest to final year undergraduate and graduate students studying statistical mechanics, plasma physics, basic electronics, solid state physics and anyone who wants an accessible introduction to the subject.

This study investigates in detail the interaction between interviewers and respondents in standardised social survey interviews. Applying the techniques of conversation analysis, Hanneke Houtkoop-Steenstra reveals how certain rules of normal conversation fail to apply in interviews based on a standard questionnaire, and offers original empirical evidence to show what really happens. Her book demonstrates that interview results can only be understood as products of the contingencies of the interview situation, and not, as is usually assumed, the unmediated expressions of respondents' real opinions. Her conclusions have important implications for anyone interested in effective survey compilation and interpretation. The book is highly accessible, setting out the basic tools of conversation analysis simply and clearly, and suggesting ways of improving questionnaire design wherever possible. Its approach will be of great interest to students and researchers of survey methodology.

Written by one of today's most creative and innovative philosophers, Ruth Garrett Millikan, this book examines basic empirical concepts; how they are acquired, how they function, and how they have been misrepresented in the traditional philosophical literature. Millikan places cognitive psychology in an evolutionary context where human cognition is assumed to be an outgrowth of primitive forms of mentality, and assumed to have 'functions' in the biological sense. Of particular interest are her discussions of the nature of abilities as different from dispositions, her detailed analysis of the psychological act of reidentifying substances, and her critique of the language of thought for mental representation. In a radical departure from current philosophical and psychological theories of concepts, this book provides the first in-depth discussion on the psychological act of reidentification.

In the last twenty to thirty years, a new way to understand complex systems has emerged in the natural sciences - an approach often called non-linear dynamics, dynamical systems theory, or chaos theory. This perspective has allowed scientists to trace the emergence of order from disorder and complex, higher-order forms from interactions among lower-order constituents. This is called self-organization, and is thought to be responsible for change and continuity in physical, biological, and social systems. Recently, principles of self-organizing dynamic systems have been imported into psychology, especially developmental psychology, where they have helped us reconceptualize basic processes in motor and cognitive development. Emotion, Development, and Self-Organization is the first book to apply these principles to emotional development. The contributors address fundamental issues such as the biological bases of emotion and development, relations between cognition and emotion in real time

This book presents a systematic overview and assessment of the impacts of politics on the media, and of the media on politics, in authoritarian, transitional and democratic regimes in Russia, Spain, Hungary, Chile, Italy, Great Britain, Germany, Japan, the Netherlands, and the United States. Its analysis of the interactions between macro- and micro-level factors incorporates the disciplinary perspectives of political science, mass communications, sociology and social psychology. These essays show that media's effects on politics are the product of often complex and contingent interactions among various causal factors, including media technologies, the structure of the media market, the legal and regulatory framework, the nature of basic political institutions, and the characteristics of individual citizens. The authors' conclusions challenge a number of conventional wisdoms concerning the political roles and effects of the mass media on regime support and change, on the political behav

Written by one of today's most creative and innovative philosophers, Ruth Garrett Millikan, this book examines basic empirical concepts; how they are acquired, how they function, and how they have been misrepresented in the traditional philosophical literature. Millikan places cognitive psychology in an evolutionary context where human cognition is assumed to be an outgrowth of primitive forms of mentality, and assumed to have 'functions' in the biological sense. Of particular interest are her discussions of the nature of abilities as different from dispositions, her detailed analysis of the psychological act of reidentifying substances, and her critique of the language of thought for mental representation. In a radical departure from current philosophical and psychological theories of concepts, this book provides the first in-depth discussion on the psychological act of reidentification.

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

This book presents and analyses vortex methods as a tool for the direct numerical simulation of incompressible viscous flows. Vortex methods have matured, offering an interesting alternative to finite difference and spectral methods for high-resolution numerical solutions of the Navier–Stokes equations. Research in the numerical analysis aspects of vortex methods has provided a solid mathematical background for understanding the accuracy and stability of the method. At the same time vortex methods retain their appealing physical character that was the motivation for their introduction. Scientists working in the areas of numerical analysis and fluid mechanics will benefit from this book, which may serve both communities as both a reference monograph and a textbook for computational fluid dynamics courses.

Over the last 25 years K-theory has become an integrated part of the study of C*-algebras. This book gives an elementary introduction to this interesting and rapidly growing area of mathematics. Fundamental to K-theory is the association of a pair of Abelian groups, K0(A) and K1(A), to each C*-algebra A. These groups reflect the properties of A in many ways. This book covers the basic properties of the functors K0 and K1 and their interrelationship. Applications of the theory include Elliott's classification theorem for AF-algebras, and it is shown that each pair of countable Abelian groups arises as the K-groups of some C*-algebra. The theory is well illustrated with 120 exercises and examples, making the book ideal for beginning graduate students working in functional analysis, especially operator algebras, and for researchers from other areas of mathematics who want to learn about this subject.

Multiple regression, linear modelling, and multivariate analysis are among the most useful statistical methods for the elucidation of complicated data, and all of them are most easily explained in mat

This book presents a systematic overview and assessment of the impacts of politics on the media, and of the media on politics, in authoritarian, transitional and democratic regimes in Russia, Spain, Hungary, Chile, Italy, Great Britain, Germany, Japan, the Netherlands, and the United States. Its analysis of the interactions between macro- and micro-level factors incorporates the disciplinary perspectives of political science, mass communications, sociology and social psychology. These essays show that media's effects on politics are the product of often complex and contingent interactions among various causal factors, including media technologies, the structure of the media market, the legal and regulatory framework, the nature of basic political institutions, and the characteristics of individual citizens. The authors' conclusions challenge a number of conventional wisdoms concerning the political roles and effects of the mass media on regime support and change, on the political behav

This book provides a comprehensive account of a key (and perhaps the most important) theory upon which the Taylor–Wiles proof of Fermat's last theorem is based. The book begins with an overview of the theory of automorphic forms on linear algebraic groups and then covers the basic theory and results on elliptic modular forms, including a substantial simplification of the Taylor–Wiles proof by Fujiwara and Diamond. It contains a detailed exposition of the representation theory of profinite groups (including deformation theory), as well as the Euler characteristic formulas of Galois cohomology groups. The final chapter presents a proof of a non-abelian class number formula and includes several new results from the author. The book will be of interest to graduate students and researchers in number theory (including algebraic and analytic number theorists) and arithmetic algebraic geometry.

Most natural and industrial flows are turbulent. The atmosphere and oceans, automobile and aircraft engines, all provide examples of this ubiquitous phenomenon. In recent years, turbulence has become a very lively area of scientific research and application, attracting many newcomers who need a basic introduction to the subject. An Introduction to Turbulent Flow, first published in 2000, offers a solid grounding in the subject of turbulence, developing both physical insight and the mathematical framework needed to express the theory. It begins with a review of the physical nature of turbulence, statistical tools, and space and time scales of turbulence. Basic theory is presented next, illustrated by examples of simple turbulent flows and developed through classical models of jets, wakes, and boundary layers. A deeper understanding of turbulence dynamics is provided by spectral analysis and its applications. The final chapter introduces the numerical simulation of turbulent flows. This

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It was the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.

This fully illustrated text explains the basic measurement techniques, describes the commercially available instruments and provides an overview of the current perception of 3-D topography analysis in

This book deals with biomimetic sensors that can quantify taste and smell - the electronic tongue and nose. Of all sensor technologies, these have been widely considered as the most difficult to realise and the development of these sensors significantly contributes to the understanding of the reception mechanisms in gustatory and olfactory systems. The author begins by dealing with the basic principles of measurement and multivariate analysis. Reception mechanisms in biological systems are briefly reviewed. Several types of biosensor, including enzyme-immobilized membranes, SPR, the quartz resonance oscillator and IC technologies are explained in detail. This book is the first to focus on artificial taste and smell sensors and also reviews conventional biosensors, such as enzyme sensors, in detail.