Basic Methods of Linear Functional Analysis

'Metaphor' is the phenomenon whereby we talk and, potentially, think about something in terms of something else. In this book Elena Semino discusses metaphor as a common linguistic occurrence, which is varied in its textual appearance, versatile in the functions it may perform, and central to many different types of communication, from informal interaction to political speeches. She discusses the use of metaphor across a variety of texts and genres from literature, politics, science, education, advertising and the discourse of mental illness. Each chapter includes detailed case studies focusing on specific texts, from election leaflets to specialist scientific articles. Also included is a detailed consideration of corpus (computer-based) methods of analysis. Wide-ranging and informative, this book will be invaluable to those interested in metaphor from a range of disciplines.

'Metaphor' is the phenomenon whereby we talk and, potentially, think about something in terms of something else. In this book Elena Semino discusses metaphor as a common linguistic occurrence, which is varied in its textual appearance, versatile in the functions it may perform, and central to many different types of communication, from informal interaction to political speeches. She discusses the use of metaphor across a variety of texts and genres from literature, politics, science, education, advertising and the discourse of mental illness. Each chapter includes detailed case studies focusing on specific texts, from election leaflets to specialist scientific articles. Also included is a detailed consideration of corpus (computer-based) methods of analysis. Wide-ranging and informative, this book will be invaluable to those interested in metaphor from a range of disciplines.

This textbook describes some of the most effective and straightforward quantitative techniques for modeling Earth surface processes. By emphasizing a core set of equations and solution techniques, the book presents state-of-the-art models currently employed in Earth surface process research, as well as a set of simple but practical research tools. Detailed case studies demonstrate application of the methods to a wide variety of processes including hillslope, fluvial, aeolian, glacial, tectonic, and climatic systems. Exercises at the end of each chapter begin with simple calculations and then progress to more sophisticated problems that require computer programming. All the necessary computer codes are available online at www.cambridge.org/9780521855976. Assuming some knowledge of calculus and basic programming experience, this quantitative textbook is designed for advanced geomorphology courses and as a reference book for professional researchers in Earth and planetary science looking

In recent years there has been a huge increase in the research and development of nanoscale science and technology. Central to the understanding of the properties of nanoscale structures is the modeling of electronic conduction through these systems. This graduate textbook provides an in-depth description of the transport phenomena relevant to systems of nanoscale dimensions. In this textbook the different theoretical approaches are critically discussed, with emphasis on their basic assumptions and approximations. The book also covers information content in the measurement of currents, the role of initial conditions in establishing a steady state, and the modern use of density-functional theory. Topics are introduced by simple physical arguments, with particular attention to the non-equilibrium statistical nature of electrical conduction, and followed by a detailed formal derivation. This textbook is ideal for graduate students in physics, chemistry, and electrical engineering.

This textbook introduces the principles and methods for the analysis and design of non-linear texts, from websites to CD-ROMs.

This textbook introduces the principles and methods for the analysis and design of non-linear texts, from websites to CD-ROMs.

This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to the subject: the concept of probability is given particular attention via a simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information, and added for this new edition is material on Markov chains and their entropy. Lots of examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to

This updated textbook is an excellent way to introduce probability and information theory to new students in mathematics, computer science, engineering, statistics, economics, or business studies. Only requiring knowledge of basic calculus, it starts by building a clear and systematic foundation to the subject: the concept of probability is given particular attention via a simplified discussion of measures on Boolean algebras. The theoretical ideas are then applied to practical areas such as statistical inference, random walks, statistical mechanics and communications modelling. Topics covered include discrete and continuous random variables, entropy and mutual information, maximum entropy methods, the central limit theorem and the coding and transmission of information, and added for this new edition is material on Markov chains and their entropy. Lots of examples and exercises are included to illustrate how to use the theory in a wide range of applications, with detailed solutions to

Binary options are the latest products to hit financial markets. From 5 minute FTSE100 bets offered by online bookmakers, longer duration FTSE100 bets traded on online betting exchanges plus binary bets offered by spreadbetting companies, all are offering the same instrument as the CBOT's binary option on the Fed Funds rate. Hitherto, the largest single marketplace for binary options has been Lloyd's of London where they are known as insurance contracts, while the sports enthusiast is unwittingly buying a binary option every time he takes a price from a sportsbook or bookmaker on this horse or that soccer team. This book takes the same fixed odds bet and illustrates how they operate in the financial marketplace."Binary Options" initially outlines regular bets and explains the rationale defining some basic winning and losing bets. A deeper analysis follows in which the author examines how the value of a bet is dependant on the passing of time, the volatility of the underlying instrument

This book attempts an interpretation of Revolutionary American culture. It argues that the cultural identity of the United States, like its political identity, emerged from a quarrel with the Old World. Europeans believed that the Revolution had 'turned the world upside down'. American intellectuals tried to construct a republic which refuted European criticism. They failed, but in failing they created an attitude to the terrain which became a central theme in American culture. The book employs the methods of perceptual geography and close textual analysis to examine images of the terrain and to propose close links between imaginative literature and a wide range of non-literary writing.

Laser Induced Breakdown Spectroscopy (LIBS) is an emerging technique for determining elemental composition. With the ability to analyse solids, liquids and gases with little or no sample preparation, it is more versatile than conventional methods and is ideal for on-site analysis. This is a comprehensive reference explaining the fundamentals of the LIBS phenomenon, its history and its fascinating applications across eighteen chapters written by recognized leaders in the field. Over 300 illustrations aid understanding. This book will be of significant interest to researchers in chemical and materials analysis within academia and industry.

The aim of this book is to demonstrate both the difficulties and the opportunities which the accumulation of statistical information in economically advanced countries offers for studying nineteenth-century society in depth. The chief emphasis is upon quantitative methods of analysis. The main focus of the attention is the census – what information was required on census night; how the information was collected; how accurately and completely population characteristics were recorded, the problems which arise in attempting to use either the published census volumes or the enumerators' books; and the techniques which have proved useful in analysis. Related topics covered include the study of family structure, the use of information about occupation, the measurement of migration, criminal statistics, educational provision and sampling in historical research.

Matters of Opinion offers an interesting insight into 'public opinion' as reported in the media, asking where these opinions actually come from, and how they have their effects. Drawing on the analysis of conversations from focus groups, phone-ins and broadcast interviews with members of the public, Greg Myers argues that we must go back to these encounters, asking questions such as what members of the public thought they were being asked, who they were talking as, and whom they were talking to. He reveals that people don't carry a store of opinions, ready to tell strangers; they use opinions in order to get along with other people, and how they say things is as important as what they say. Engaging and informative, this book illuminates debates on research methods, the public sphere and deliberative democracy, on broadcast talk, and on what it means to participate in public life.

This 2004 book in English integrates detailed literary criticism of the exorcism stories in Luke-Acts with wide-ranging comparative study of ancient sources on demonology, spirit affliction and exorcistic healing. Methods from systemic functional linguistics and critical theory are explained and then applied to each story. Careful focus is placed on each narrative's linguistic functions and also on relevant aspects of its literary co-text and the wider context of culture. Implications of the analysis for the new perspective on Luke-Acts, especially the implied author's relationship with Judaism, are explored in relation to the Lukan stories' original context of reception. Largely neglected interfaces between Luke's narrative representation of exorcism and emerging academic discourse about religious experience, shamanism, health care in antiquity, ritual performance and ancient Jewish systems of impurity are probed in ways that shed fresh light on this supremely alien part of the Lukan

This book presents a mathematical programming approach to the analysis of production frontiers and efficiency measurement. The authors construct a variety of production frontiers, and by measuring distances to them are able to develop a model of efficient producer behaviour and a taxonomy of possible types of departure from efficiency in various environments. Linear programming is used as an analytical and computational technique in order to accomplish this. The approach developed is then applied to modelling producer behaviour. By focusing on the empirical relevance of production frontiers and distances to them, and applying linear programming techniques to artificial data to illustrate the type of information they can generate, this book provides a unique study in applied production analysis. It will be of interest to scholars and students of economics and operations research, and analysts in business and government.

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.

This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on G\G and its relationship with the classical automorphic forms on X, Poincare series, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2 (G\G). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researcher

This book deals with the elastic stability of solids and structures. It begins with fundamental aspects of stability, relating the basic notions of dynamic stability to more traditional quasi-static approaches. The book is concerned not only with buckling, or linear instability, but most importantly with nonlinear post-buckling behavior and imperfection-sensitivity. After laying out the general theory, Koiter applies the theory to a number of applications, with a chapter devoted to each. These include a variety of beam, plate, and shell structural problems and some basic continuum elasticity problems. Koiter's classic results on the nonlinear buckling and imperfection-sensitivity of cylindrical and spherical shells are included. The treatments of both the fundamental aspects and the applications are completely self contained. This book was recorded as a detailed set of notes by Arnold van der Heijden from W. T. Koiter's last set of lectures on stability theory, at TU Delft.

There has been an increase in interest worldwide in fusion research over the last decade and a half due to the recognition that a large number of new, environmentally attractive, sustainable energy sources will be needed to meet ever increasing demand for electrical energy. Based on a series of course notes from graduate courses in plasma physics and fusion energy at MIT, the text begins with an overview of world energy needs, current methods of energy generation, and the potential role that fusion may play in the future. It covers energy issues such as the production of fusion power, power balance, the design of a simple fusion reactor and the basic plasma physics issues faced by the developers of fusion power. This book is suitable for graduate students and researchers working in applied physics and nuclear engineering. A large number of problems accumulated over two decades of teaching are included to aid understanding.

This volumes comes out of a symposium, sponsored by the Society for Risk Analysis and the National Science Foundation, which explored practical methods and robust theories of risk communication arisin

This book first published in 1982 considers the problems of efficiently managing large enterprises which are common to both the West and to the Soviet Union. The growth in management science in the West has been paralleled in the Soviet Union in the years since Khrushchev's fall. Professor Conyngham provides a comprehensive discussion of the efforts in the Soviet Union to develop techniques of scientific management that are consistent with the requirements of communist ideology and a planned economy. The opening chapter outlines the reforms of Soviet industrial management during the post-Khrushchev era and, in particular, indicates the role that increased decentralization has played in the developing importance of management science. Conyngham then concentrates on the generation of management theory and its application to the existing economic system. Topics covered include the emergence of systems analysis as the basic approach to management reform, the application of mathematical mod

This book provides a unified analysis of the theory of economic policy, presenting static and dynamic aspects of both the fixed and flexible objective policy problems. The authors conceive of the abstract theory of economic policy as the interaction of policy possibilities with policy-making requirements. Policy possibilities are depicted by a known, linear model relating sets of targets, instruments and other variables. Policy-making requirements are imposed in two forms: directly by nominating a specific fixed target in the tradition of Tinbergen; and indirectly by specifying preferences about targets - the flexible target associated with Theil.

Offers methods and approaches that are applicable in a wide range of disciplines: politics, sociology, anthropology, history, economics, and more. This book covers approaches to analysis ranging from

This book is concerned with partial differential equations applied to fluids problems in science and engineering and is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught both. Second, this book is designed to help provide serious readers of journals (professionals, researchers, and graduate students) in analytical science and engineering with tools to explore and extend the missing steps in an analysis. The topics chosen for the book are those that the authors have found to be of considerable use in their own research careers. These topics are applicable in many areas, such as aeronautics and astronautics; biomechanics; chemical, civil, and mechanical engineering; fluid mechanics; and geophysical flows. Continuum ideas arise in other contexts, and the techniques included have applications there as well.

A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neum

This book treats the classical problem of gravitational physics within Einstein's theory of general relativity. It presents basic principles and equations needed to describe rotating fluid bodies, as well as black holes in equilibrium. It then goes on to deal with a number of analytically tractable limiting cases, placing particular emphasis on the rigidly rotating disc of dust. The book concludes by considering the general case using powerful numerical methods that are applied to various models, including the classical example of equilibrium figures of constant density. Researchers in general relativity, mathematical physics, and astrophysics will find this a valuable reference book on the topic. A related website containing codes for calculating various figures of equilibrium is available at www.cambridge.org/9781107407350.

Among the modern methods used to study prime numbers, the 'sieve' has been one of the most efficient. Originally conceived by Linnik in 1941, the 'large sieve' has developed extensively since the 1960s, with a recent realisation that the underlying principles were capable of applications going well beyond prime number theory. This book develops a general form of sieve inequality, and describes its varied applications, including the study of families of zeta functions of algebraic curves over finite fields; arithmetic properties of characteristic polynomials of random unimodular matrices; homological properties of random 3-manifolds; and the average number of primes dividing the denominators of rational points on elliptic curves. Also covered in detail are the tools of harmonic analysis used to implement the forms of the large sieve inequality, including the Riemann Hypothesis over finite fields, and Property (T) or Property (tau) for discrete groups.

Between 1814 and 1831, the great French mathematician A. L. Cauchy created practically single-handedly a new branch of pure mathematics. Complex function theory was and remains of central importance, and its creation marked the start of one of the most exciting periods in the development of mathematics. In this book Dr Smithies analyses the process whereby Cauchy created the basic structure of complex analysis, describing first the eighteenth-century background before proceeding to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem and his work on expansions in power series. Smithies describes how Cauchy overcame difficulties including false starts and contradictions brought about by over-ambitious assumptions, as well as the improvements that came about as the subject developed in Cauchy's hands. Controversies associated with the birth of complex function theory are described in detail. Throughout, new light is thrown on Cauchy's thinking during t

From the most basic cutting and assembling methods to advanced painting, texturing, and finishing techniques, this invaluable guide covers every aspect of producing models for stage sets. Useful hint

Class-tested and coherent, this textbook teaches classical and web information retrieval, including web search and the related areas of text classification and text clustering from basic concepts. It gives an up-to-date treatment of all aspects of the design and implementation of systems for gathering, indexing, and searching documents; methods for evaluating systems; and an introduction to the use of machine learning methods on text collections. All the important ideas are explained using examples and figures, making it perfect for introductory courses in information retrieval for advanced undergraduates and graduate students in computer science. Based on feedback from extensive classroom experience, the book has been carefully structured in order to make teaching more natural and effective. Slides and additional exercises (with solutions for lecturers) are also available through the book's supporting website to help course instructors prepare their lectures.

Developments in trade marks law have called into question a variety of basic features, as well as bolder extensions, of legal protection. Other disciplines can help us think about fundamental issues such as: what is a trade mark? What does it do? What should be the scope of its protection? This volume assembles essays examining trade marks and brands from a multiplicity of fields: from business history, marketing, linguistics, legal history, philosophy, sociology and geography. Each chapter pairs lawyers' and non-lawyers' perspectives, so that each commentator addresses and critiques his or her counterpart's analysis. The perspectives of non-legal fields are intended to enrich legal academics' and practitioners' reflections about trade marks, and to expose lawyers, judges and policy-makers to ideas, concepts and methods that could prove to be of particular importance in the development of positive law.

Probability and Statistics are as much about intuition and problem solving as they are about theorem proving. Because of this, students can find it very difficult to make a successful transition from lectures to examinations to practice, since the problems involved can vary so much in nature. Since the subject is critical in many modern applications such as mathematical finance, quantitative management, telecommunications, signal processing, bioinformatics, as well as traditional ones such as insurance, social science andengineering, the authors have rectified deficiencies in traditional lecture-based methods by collecting together a wealth of exercises with complete solutions, adapted to needs and skills of students. Following on from the success of Probability and Statistics by Example: Basic Probability and Statistics, the authors here concentrate on random processes, particularly Markov processes, emphasising modelsrather than general constructions. Basic mathematical facts are sup

This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, it

The lectures were delivered at Meijo University over the past five years as part of an infinite dimensional analysis seminar. They explain the basic idea of white noise analysis, and propose some new

Models and likelihood are the backbone of modern statistics. This 2003 book gives an integrated development of these topics that blends theory and practice, intended for advanced undergraduate and graduate students, researchers and practitioners. Its breadth is unrivaled, with sections on survival analysis, missing data, Markov chains, Markov random fields, point processes, graphical models, simulation and Markov chain Monte Carlo, estimating functions, asymptotic approximations, local likelihood and spline regressions as well as on more standard topics such as likelihood and linear and generalized linear models. Each chapter contains a wide range of problems and exercises. Practicals in the S language designed to build computing and data analysis skills, and a library of data sets to accompany the book, are available over the Web.

A sound knowledge of biology, mathematics, physics and chemistry in needed to understand how excitable cells function and the many basic concepts involved in acquiring this knowledge are described from first principles in this book. As these principles equally apply to other biological fields such as the study of membrane transport, artificial membranes, signal capturing, analysis in biological systems and general applications of mathematics and physics to biology, they are of general interest. An important feature of the book is the appendices, in which mathematical functions are derived, and which ensure the usefulness of the volume as a reference manual.

In this third edition of his popular undergraduate-level textbook, Des Nicholl recognises that a sound grasp of basic principles is vital in any introduction to genetic engineering. Therefore, the book retains its focus on the fundamental principles used in gene manipulation. It is divided into three sections: Part I provides an introduction to the relevant basic molecular biology; Part II, the methods used to manipulate genes; and Part III, applications of the technology. There is a new chapter devoted to the emerging importance of bioinformatics as a distinct discipline. Other additional features include text boxes, which highlight important aspects of topics discussed, and chapter summaries, which include aims and learning outcomes. These, along with key word listings, concept maps and a glossary, will enable students to tailor their study to suit their own learning styles and ultimately gain a firm grasp of a subject that students traditionally find difficult.

This book analyses telecommunications markets from early to mature competition, filling the gap between the existing economic literature on competition and the real-life application of theory to policy. Paul De Bijl and Martin Peitz focus on both the transitory and the persistent asymmetries between telephone companies, investigating the extent to which access price and retail price regulation stimulate both short- and long-term competition. They explore and compare various settings, such as non-linear versus linear pricing, facilities-based versus unbundling-based or carrier-select-based competition, non-segmented versus segmented markets. On the basis of their analysis, De Bijl and Peitz then formulate guidelines for policy. This book is a valuable resource for academics, regulators and telecommunications professionals. It is accompanied by simulation programs devised by the authors both to establish and to illustrate their results.

Modern electronic devices and novel materials often derive their extraordinary properties from the intriguing, complex behavior of large numbers of electrons forming what is known as an electron liquid. This book provides an in-depth introduction to the physics of the interacting electron liquid in a broad variety of systems, including metals, semiconductors, artificial nano-structures, atoms and molecules. One, two and three dimensional systems are treated separately and in parallel. Different phases of the electron liquid, from the Landau Fermi liquid to the Wigner crystal, from the Luttinger liquid to the quantum Hall liquid are extensively discussed. Both static and time-dependent density functional theory are presented in detail. Although the emphasis is on the development of the basic physical ideas and on a critical discussion of the most useful approximations, the formal derivation of the results is highly detailed and based on the simplest, most direct methods.

A lot of recent developments have been made about adhesively bonded joints modeling using various methods of analysis. The increasing application of adhesives in industry is partly due to the increase