Basic Methods of Linear Functional Analysis

This is a comprehensive analysis of J. A. Hobson's writings on international relations. Hobson is most famous for developing the neo-Marxist theory of imperialism, but in this book David Long argues that Hobson was also a key figure in the history of liberalism. He shifted liberal international theory away from its laissez-faire origins towards a focus on international organization, making him a forerunner of the functional approach in international relations. The book outlines the philosophical outlook and political economy which informed Hobson's theory, and challenges the narrow interpretation of imperialism which has dominated international relations. Setting out the sources of and contradictions within Hobson's proposals for international government, this book is a contribution not only to the study of international relations, but also to the history of political thought and British liberalism.

Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics.The selection first elaborates on the basic graph theory

This work presents an intensive, illuminating and fascinating analysis and interpretation of Gabriel Marcel's basic thought on human existence and its ultimate religious meaning. It focuses on Marcel'

This book offers a new analysis of some basic issues in sociology and social theory, arguing that the social sciencs can, and should, play a major practical role in modern social life.

This book presents the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed parameter systems. The authors extend the theory to include vector exponential series. The first part of the book presents the modern theory of exponentials, using an operator theory approach. The second part of the book extends and upgrades the method of moments - one of the most powerful tools in the flourishing theory of the control of distributed parameter systems. The book then goes on to discuss the controllability of systems described by parabolic and hyperbolic PDEs for internal, boundary, initial, and pointwise control. Typical applications to optimal control problems are also considered. Researchers in control theory, operator theory, functional analysis and partial differential equations will find much to interest them in this treatise.

This 1996 book defends the prospects for a science of society. It argues that behind the diverse methods of the natural sciences lies a common core of scientific rationality that the social sciences can and sometimes do achieve. It also argues that good social science must be in part about large-scale social structures and processes and thus that methodological individualism is misguided. These theses are supported by a detailed discussion of actual social research, including theories of agrarian revolution, organizational ecology, social theories of depression, and supply-demand explanations in economics. Professor Kincaid provides a general picture of explanation and confirmation in the social sciences and discusses the nature of scientific rationality, functional explanation, optimality arguments, meaning and interpretation, the place of microfoundations in social explanation, the status of neo-classical economics, the role of idealizations and non-experimental evidence, and other s

This 1996 book defends the prospects for a science of society. It argues that behind the diverse methods of the natural sciences lies a common core of scientific rationality that the social sciences can and sometimes do achieve. It also argues that good social science must be in part about large-scale social structures and processes and thus that methodological individualism is misguided. These theses are supported by a detailed discussion of actual social research, including theories of agrarian revolution, organizational ecology, social theories of depression, and supply-demand explanations in economics. Professor Kincaid provides a general picture of explanation and confirmation in the social sciences and discusses the nature of scientific rationality, functional explanation, optimality arguments, meaning and interpretation, the place of microfoundations in social explanation, the status of neo-classical economics, the role of idealizations and non-experimental evidence, and other s

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

Romulus founded Rome - but why does the myth give him a twin brother Remus, who is killed at the moment of the foundation? This mysterious legend has been oddly neglected. Roman historians ignore it as irrelevant to real history; students of myth concentrate on the more glamorous mythology of Greece. In this book, Professor Wiseman provides, for the first time, a detailed analysis of all the variants of the story, and a historical explanation for its origin and development. His conclusions offer important new insights, both into the history and ideology of pre-imperial Rome and into the methods and motives of myth-creation in a non-literate society. In the richly unfamiliar Rome of Pan, Hermes and Circe the witch-goddess, where a general grows miraculous horns and prophets demand human sacrifice, Remus stands for the unequal struggle of the many against the powerful few.

An introductory text covering basic concepts of the theory followed by chapters addressing independence, laws of large numbers, martingales, Fourier analysis, limit distribution, law of the iterated l

This book examines the theory of boundary value problems for elliptic systems of partial differential equations, a theory which has many applications in mathematics and the physical sciences. The aim is to 'algebraize' the index theory by means of pseudo-differential operators and methods in the spectral theory of matrix polynomials. This latter theory provides important tools that will enable the student to work efficiently with the principal symbols of the elliptic and boundary operators on the boundary. This book is ideal for use in graduate-level courses on partial differential equations, elliptic systems, pseudo-differential operators and matrix analysis. Since many new methods and results are introduced and used throughout the book, all the theorems are proved in detail, and the methods are well illustrated through numerous examples and exercises.

This book, which is published in two volumes, studies heat transfer problems by modern numerical methods. Basic mathematical models of heat transfer are considered. The main approaches, to the analysi

Serious Money offers detailed analysis of the relationship between fundraising methods and contributing decisions in presidential nomination campaigns, based largely upon newly conducted surveys of contributors to both the 1988 and 1992 campaigns. Brown, Powell and Wilcox explore the fundamental differences detween direct mail solicitation and personal-solicitation networks, and how candidate resources dictate the use of unique methods of solicitation. Candidate resources analysed include home state power bases, access to national party networks and the national legislative agenda, congressional office, social identity, and ideological proximity. With respect to contributing decisions, the book focuses on the three fundamental sources of the decision to contribute: the purposive, solidary, and material motives of contributors.

This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this subject are either intuitive or else rigorous but technically demanding. Here, by concentrating on the essential results, the authors have introduced the subject in a way that will most appeal to non-specialists, yet is still mathematically correct. Topics covered include: the Dirac delta function, generalized functions, dipoles, quadrupoles, pseudofunctions and Fourier transforms. The self-contained treatment does not require any knowledge of functional analysis or topological vector spaces; even measure theory is not needed for most of the book. The book, which can be used either to accompany a course or for self-study, is liberally supplied with exercises. It will be a valuable introduction to the theory of distributions and their applications for students or professionals in statistics, physics, engineering and economics.

These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

This book, which is published in two volumes, studies heat transfer problems by modern numerical methods. Basic mathematical models of heat transfer are considered. The main approaches to the analysis

These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.

The aim of the book is to introduce the reader to the kinetic analysis of a wide range of biological processes at the molecular level. It is intended to show that the same approach can be used to resolve the number of steps in enzyme reactions, muscle contraction, visual perception and ligand binding receptors that trigger other physiological processes. Attention is also given to methods for characterizing these steps in chemical terms. Although the treatment is mainly theoretical, a wide range of examples and experimental techniques are also introduced and an historical approach is used to demonstrate the development of the theory and experimental techniques of kinetic analysis in biology.

The continuing development of automated production methods, combined with increasing competition from low-wage developing economies, is likely to reduce yet further the scope for the employment of low-skilled and inexperienced personnel in advanced economies. Higher standards of schooling and of vocational training are now widely recognised as essential. Based on visits by expert teams over the last ten years to matched samples of manufacturing plants, as well as to schools and vocational colleges in Britain and the European Continent, this book provides a realistic analysis of what needs to be done. The emphasis is on the need to expand, not the proportion of the workforce with university qualifications, but those with craft and vocational qualifications. The findings of this research have been influential in the development of government policies, and the author explains why these policies need to move even further, and in which directions they must next move.

The aim of the book is to introduce the reader to the kinetic analysis of a wide range of biological processes at the molecular level. It is intended to show that the same approach can be used to resolve the number of steps in enzyme reactions, muscle contraction, visual perception and ligand binding receptors that trigger other physiological processes. Attention is also given to methods for characterizing these steps in chemical terms. Although the treatment is mainly theoretical, a wide range of examples and experimental techniques are also introduced and an historical approach is used to demonstrate the development of the theory and experimental techniques of kinetic analysis in biology.

Acta Numerica has established itself as the prime forum for the presentation of definitive reviews of numerical analysis topics. The invited review papers, by leaders in their respective fields, allow researchers and graduate students alike quickly to grasp trends and developments. Highlights of the 1995 issue include articles on sequential quadratic programming, mesh adaption, free boundary problems and particle methods in continuum computations.

For many applications a randomized algorithm is either the simplest algorithm available, or the fastest, or both. This tutorial presents the basic concepts in the design and analysis of randomized algorithms. The first part of the book presents tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications. Algorithmic examples are given to illustrate the use of each tool in a concrete setting. In the second part of the book, each of the seven chapters focuses on one important area of application of randomized algorithms: data structures; geometric algorithms; graph algorithms; number theory; enumeration; parallel algorithms; and on-line algorithms. A comprehensive and representative selection of the algorithms in these areas is also given. This book should prove invaluable as a reference for researchers and professional programmers, as well as for students.

The second edition of this very successful and authoritative set of tables still benefits from clear typesetting, which makes the figures easy to read and use. It has, however, been improved by the addition of new tables that provide Bayesian confidence limits for the binomial and Poisson distributions, and for the square of the multiple correlation coefficient, which have not been previously available. The intervals are the shortest possible, consistent with the requirement on probability. Great care has been taken to ensure that it is clear just what is being tabulated and how the values may be used; the tables are generally capable of easy interpolation. The book contains all the tables likely to be required for elementary statistical methods in the social, business and natural sciences. It will be an essential aid for teachers, researchers and students in those subjects where statistical analysis is not wholly carried out by computers.

Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts, and most accounts have hitherto been confined to division algebras - that is skew fields finite dimensional over their centre. Based on the author's LMS lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an ex

Finance is one of the fastest growing areas in the modern banking and corporate world. This, together with the sophistication of modern financial products, provides a rapidly growing impetus for new mathematical models and modern mathematical methods; the area is an expanding source for novel and relevant 'real-world' mathematics. In this book the authors describe the modelling of financial derivative products from an applied mathematician's viewpoint, from modelling through analysis to elementary computation. A unified approach to modelling derivative products as partial differential equations is presented, using numerical solutions where appropriate. Some mathematics is assumed, but clear explanations are provided for material beyond elementary calculus, probability, and algebra. Over 140 exercises are included. This volume will become the standard introduction to this exciting new field for advanced undergraduate students.

This is a graduate text surveying both the theoretical and experimental aspects of chaotic behaviour. Over the course of the past two decades it has been discovered that relatively simple, deterministic, nonlinear mathematical models that describe dynamic phenomena in various physical, chemical, biological and other systems yield solutions which are aperiodic and depend very sensitively on the initial conditions. This phenomenon is known as deterministic chaos. The authors present chaos as a model of many seemingly random processes in nature. Basic notions from the theory of dynamical systems and bifurcation theory, together with the properties of chaotic solutions, are then described and are illustrated by examples. A review of the numerical methods used both in studies of mathematical models and in the interpretation of experimental data is also provided.

Making a substantiated choice of the most efficient statistical test is one of the basic problems of statistics. Asymptotic efficiency is an indispensable technique for comparing and ordering statistical tests in large samples. It is especially useful in nonparametric statistics where it is usually necessary to rely on heuristic tests. This monograph presents a unified treatment of the analysis and calculation of the asymptotic efficiencies of nonparametric tests. Powerful new methods are developed to evaluate explicitly different kinds of efficiencies. Of particular interest is the description of domains of the Bahadur local optimality and related characterisation problems based on recent research by the author. Other Russian results are also published here for the first time in English. Researchers, professionals and students in statistics will find this book invaluable.

Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.

This compelling book provides an up-to-date survey of the field of defense economics, the study of defense and peace issues, with the application of economic analysis and methods. The subject embraces both microeconomics and macroeconomics, taking into account such features as growth theory, comparative statistics, game theory and econometrics. A wide range of topics are addressed, including all aspects of the economics of defense, disarmament, conversion and peace. The implications of different organizational forms and their performances are examined, considering the efficient management of defense resources budgets and internal markets in the armed forces. In this groundbreaking volume, Sandler and Hartley synthesize and unify the vast literature on defense economics and peace science.

Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.

This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential.

Sociocultural Studies of Mind addresses the primary question: how is mental functioning related to the cultural, historical, and institutional settings in which it exists? Although the contributors speak from different perspectives, there is a clear set of unifying themes that run through the volume: 1. One of the basic ways that sociocultural setting shapes mental functioning is through the cultural tools employed. 2. Mediation provides a formulation of how this shaping occurs. 3. In order to specify how cultural tools exist and have their effects, it is essential to focus on human action as a unit of analysis. This landmark volume defines a general approach to sociocultural psychology, one that we hope will be debated and redefined as the field moves forward. Sociocultural Studies of Mind is crucial reading for researchers and graduate students in cognitive science, philosophy, and cultural anthropology.

Sociocultural Studies of Mind addresses the primary question: how is mental functioning related to the cultural, historical, and institutional settings in which it exists? Although the contributors speak from different perspectives, there is a clear set of unifying themes that run through the volume: 1. One of the basic ways that sociocultural setting shapes mental functioning is through the cultural tools employed. 2. Mediation provides a formulation of how this shaping occurs. 3. In order to specify how cultural tools exist and have their effects, it is essential to focus on human action as a unit of analysis. This landmark volume defines a general approach to sociocultural psychology, one that we hope will be debated and redefined as the field moves forward. Sociocultural Studies of Mind is crucial reading for researchers and graduate students in cognitive science, philosophy, and cultural anthropology.

This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all lev

This book provides an account of developments and applications of social accounts. It concentrates particularly on the methods of social accounting that Richard Stone, Nobel Laureate in Economics, developed and applied during his long and distinguished career. The contributors to the volume examine applications of social accounts in economics and demography, addressing issues of new formulations and specifications at the national and regional levels. Economic structure and issues of structural change are investigated within the context of social accounts matrices, and Linear Expenditure Systems are used to model population change and household consumption. The importance of social accounts matrices (SAM) in generating Computable General Equilibrium (CGE) models and the enormous potential that both SAM and CGE models have for policy analysis are stressed.

Many fundamental processes in analysis are best understood by studying and comparing the summability of series in various modes of convergence. This text provides the beginning graduate student, one with basic knowledge of real and functional analysis, with an account of p-summing and related operators. The account is panoramic, with detailed expositions of the core results and highly non-trivial applications to, for example, harmonic analysis, probability and measure theory, and operator theory. Graduate students and researchers from real, complex and functional analysis, and probability theory will benefit from this account.

In this pioneering work, Simon J. M. Davis presents a broad overview of the new science of zooarchaeology-the analysis of fossil remains of animals-explaining its methods and showing how it helps the

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmén–Lindelöf principle, the Koebe one-quarter mapping theorem and a sharp quantitative form of Runge's theorem. In addition there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics, and gives a flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.

Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmén–Lindelöf principle, the Koebe one-quarter mapping theorem and a sharp quantitative form of Runge's theorem. In addition there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics, and gives a flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.

A practical guide to methods of survival analysis for medical researchers with limited statistical experience. Methods and techniques described range from descriptive and exploratory analysis to multi