Basic Methods of Linear Functional Analysis

This engaging 2005 introduction offers a critical approach to discourse, written by an expert uniquely placed to cover the subject for a variety of disciplines. Organised along thematic lines, the book begins with an outline of the basic principles, moving on to examine the methods and theory of CDA (critical discourse analysis). It covers topics such as text and context, language and inequality, choice and determination, history and process, ideology and identity. Blommaert focuses on how language can offer a crucial understanding of wider aspects of power relations, arguing that critical discourse analysis should specifically be an analysis of the 'effects' of power, what power does to people, groups and societies, and how this impact comes about. Clearly argued, this concise introduction will be welcomed by students and researchers in a variety of disciplines involved in the study of discourse, including linguistics, linguistic anthropology and the sociology of language.

What does Google's management of billions of Web pages have in common with analysis of a genome with billions of nucleotides? Both apply methods that coordinate many processors to accomplish a single

The Metaphysics of Apes, first published in 2005, traces the discovery and interpretation of the human-like great apes and the ape-like earliest ancestors of present-day humans. It shows how, from the days of Linnaeus to recent research, the sacred and taboo-ridden animal-human boundary was time and again challenged and adjusted. The unique dignity of humans, a central idea and value in the West, was, and to some extent still is, centrally on the minds of taxonomists, ethnologists, primatologists, and archaeologists. It has guided their research to a considerable extent. The basic presupposition was that humans are not entirely part of nature but, as symbolizing minds and as moral persons, transcend nature. This book was the first to offer an anthropological analysis of the burgeoning anthropological disciplines in terms of their own cultural taboos and philosophical preconceptions.

The Metaphysics of Apes, first published in 2005, traces the discovery and interpretation of the human-like great apes and the ape-like earliest ancestors of present-day humans. It shows how, from the days of Linnaeus to recent research, the sacred and taboo-ridden animal-human boundary was time and again challenged and adjusted. The unique dignity of humans, a central idea and value in the West, was, and to some extent still is, centrally on the minds of taxonomists, ethnologists, primatologists, and archaeologists. It has guided their research to a considerable extent. The basic presupposition was that humans are not entirely part of nature but, as symbolizing minds and as moral persons, transcend nature. This book was the first to offer an anthropological analysis of the burgeoning anthropological disciplines in terms of their own cultural taboos and philosophical preconceptions.

Organized thematically, this introduction outlines the basic principles and moves on to examine the methods and theory of CDA (critical discourse analysis). Topics covered include text and context, la

Geometric integrators are time-stepping methods, designed such that they exactly satisfy conservation laws, symmetries or symplectic properties of a system of differential equations. In this book the authors outline the principles of geometric integration and demonstrate how they can be applied to provide efficient numerical methods for simulating conservative models. Beginning from basic principles and continuing with discussions regarding the advantageous properties of such schemes, the book introduces methods for the N-body problem, systems with holonomic constraints, and rigid bodies. More advanced topics treated include high-order and variable stepsize methods, schemes for treating problems involving multiple time-scales, and applications to molecular dynamics and partial differential equations. The emphasis is on providing a unified theoretical framework as well as a practical guide for users. The inclusion of examples, background material and exercises enhance the usefulness of

The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, although much insight can be gained from the analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands, and which has been applied to problems as diverse as high-Tc superconductivity, band magnetism, and the metal-insulator transition. This book presents a coherent, self-contained account of the exact solution of the Hubbard model in one dimension. The early chapters will be accessible to beginning graduate students with a basic knowledge of quantum mechanics and statistical mechanics. The later chapters address more advanced topics, and are intended as a guide for researchers to some of the more topical results in the field of integrable models.

Morphometrics has undergone a revolutionary transformation in the past two decades as new methods have been developed to address shortcomings in the traditional multivirate analysis of linear distance

This book focuses on developments in experimental methods, theory, modeling and HV technology through the past decade. The coverage includes advances in basic understanding and capability, for instan

This book covers both basic elements and the state-of-the-art in applications of proteomics. The first section gives an introduction to the field, from differential approaches to functional proteomics

In recent years the subtlety and complexity of Apollonius' Argonautica have been better appreciated, but in Dr Hunter's view the purposes and aesthetic of the epic are still not readily understood and much basic analysis remains to be done. The present book seeks to offer some of that analysis and to place the Argonautica within its social and intellectual context. A series of studies deal with notions of heroism; with eros and the suffering of Medea; the role of the divine; poetic voice and literary self-consciousness; and the Ptolemaic context of the poem. A pervasive theme of the book is Apollonius' creative engagement with Homer, and a final chapter sketches out an approach to Virgil's use of Apollonius in the Aeneid. The Argonautica emerges as a brilliant and original experiment. This book is the only advanced study of the Argonautica currently available. All Greek is translated.

This is the second volume of a two-volume translation of Heinrich Schenker's Der Tonwille (1921-24). Among the foremost music theorists of the twentieth century, Schenker's methods of analysis continu

Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity. The book starts with an overview on typical applications of scattered data approximation, coming from surface reconstruction, fluid-structure interaction, and the numerical solution of partial differential equations. It then leads the reader from basic properties to the current state of research, addressing all important issues, such as existence, uniqueness, approximation properties, numerical stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further reading. Complete proofs are included, making this perfectly suited for graduate courses on multivariate approximation and it can be used to suppo

A state-of-the-art collection of readily reproducible laboratory methods for DNA identity analysis, including Y chromosome haplotyping, mtDNA, and SNP typing. The book offers well-tested protocols fo

Modeling and Control of Dynamic Systems teaches the basic concepts of control systems analysis and design. The book first focuses on understanding the basic building blocks of the dynamic systems surr

This volume offers a new view of Joseph Haydn's instrumental music. It argues that many of Haydn's greatest and most characteristic instrumental works are 'through-composed' in the sense that their several movements are bound together into a cycle. This cyclic integration is articulated, among other ways, by the 'progressive' form of individual movements, structural and gestural links between the movements, and extramusical associations. Central to the study is a detailed and comprehensive analysis of the 'Farewell' Symphony, No. 45 in F sharp minor (1772). The analysis is distinguished by its systematic use of different methods (Toveyan formalism, Schenkerian voice leading, Schoenbergian developing variation) to elucidate the work's overall coherence. The work's unique musical processes, in turn, suggest an interpretation of the entire piece (not merely the famous 'farewell' finale) in terms of the familiar programmatic story of the musicians' wish to leave Castle Eszterhaza. In a boo

This book teaches basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Cov

Crowley's pragmatic analysis has three basic purposes: to show why theory developed in academia is too little used off campus; to explore why it's in the interests of library faculty members, consulta

The Economics of Information Technology is a concise and accessible review of some of the important economic factors affecting information technology industries. These industries are characterized by high fixed costs and low marginal costs of production, large switching costs for users, and strong network effects. These factors combine to produce some unique behavior. The book consists of two parts. In the first part, Professor Varian outlines the basic economics of these industries. In the second part, Professors Farrell and Shapiro describe the impact of these factors on competition policy. The clarity of the analysis and exposition makes this an ideal introduction for undergraduate and graduate students in economics, business strategy, law and related areas.

The Economics of Information Technology is a concise and accessible review of some of the important economic factors affecting information technology industries. These industries are characterized by high fixed costs and low marginal costs of production, large switching costs for users, and strong network effects. These factors combine to produce some unique behavior. The book consists of two parts. In the first part, Professor Varian outlines the basic economics of these industries. In the second part, Professors Farrell and Shapiro describe the impact of these factors on competition policy. The clarity of the analysis and exposition makes this an ideal introduction for undergraduate and graduate students in economics, business strategy, law and related areas.

In 1989, Michael Rabin proposed a fundamentally new approach to the problems of fault-tolerant routing and memory management in parallel computation, based on the idea of information dispersal. Yuh-Dauh Lyuu developed this idea in a number of new and exciting ways in his PhD thesis. Further work has led to extensions of these methods to other applications such as shared memory emulations. This volume presents an extended and updated printing of Lyuu's thesis. It gives a detailed treatment of the information dispersal approach to the problems of fault-tolerance and distributed representations of information which have resisted rigorous analysis by previous methods.

This book is intended for use in a rigorous introductory PhD level course in econometrics, or in a field course in econometric theory. It covers the measure-theoretical foundation of probability theory, the multivariate normal distribution with its application to classical linear regression analysis, various laws of large numbers, central limit theorems and related results for independent random variables as well as for stationary time series, with applications to asymptotic inference of M-estimators, and maximum likelihood theory. Some chapters have their own appendices containing the more advanced topics and/or difficult proofs. Moreover, there are three appendices with material that is supposed to be known. Appendix I contains a comprehensive review of linear algebra, including all the proofs. Appendix II reviews a variety of mathematical topics and concepts that are used throughout the main text, and Appendix III reviews complex analysis. Therefore, this book is uniquely self-conta

Take an in-depth, how-to look at Forex trading using the methods, analysis, and insights of a renowned trader, Raghee Horner. As the fate of the dollar against foreign currency generates both anxiety

This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course.

This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course.

This book examines the economic bases of regional sovereignty movements in the Russian Federation from 1990–1993. The analysis is based on an original data set of Russian regional sovereignty movements and the author employs a variety of methods including quantitative statistical analysis, as well as qualitative case studies of Sverdlovsk and Samara oblasts using systematic content analysis of local newspaper articles. The central finding of the book is that variation in Russian regional activism is explained not by differences in economic conditions but by differences in the construction or imagination of economic interests; to put it in the language of other contemporary debates, economic advantage and disadvantage are as imagined as nations. In arguing that regional economic interests are inter-subjective, contingent, and institutionally specific, the book addresses a major question in political economy, namely the origin of economic interests. In addition, by engaging the national

This book is the first detailed study of Kant's method of 'transcendental reflection' and its use in the Critique of Pure Reason to identify our basic human cognitive capacities, and to justify Kant's transcendental proofs of the necessary a priori conditions for the possibility of self-conscious human experience. Kenneth Westphal, in a closely argued internal critique of Kant's analysis, shows that if we take Kant's project seriously in its own terms, the result is not transcendental idealism but (unqualified) realism regarding physical objects. Westphal attends to neglected topics - Kant's analyses of the transcendental affinity of the sensory manifold, the 'lifelessness of matter', fallibilism, the semantics of cognitive reference, four externalist aspects of Kant's views, and the importance of Kant's Metaphysical Foundations for the Critique of Pure Reason - that illuminate Kant's enterprise in new and valuable ways. His book will appeal to all who are interested in Kant's theo

This book places culture centre-stage in the investigation of the transformation of Rome from Republic to Empire. It is the first book to attempt to understand the so-called Roman Revolution as a cultural phenomenon. Instead of regarding cultural changes as dependent on political developments, the essays consider literary, artistic, and political changes as manifestations of a basic transformation of Roman culture. In Part I the international group of contributors discusses the changes in the cultural systems under the topics of authority, gender and sexuality, status and space in the city of Rome, and in Part II through specific texts and artifacts as they refract social, political, and economic changes. The essays draw on the latest methods in literary and cultural work to present a holistic approach to the Augustan Cultural Revolution.

This book is useful for anyone interested in the basic structural and functional characteristics of the digestive system and how these vary among vertebrate groups and species. It discusses all of the major aspects of nutrition, anatomy and physiology in all of the major groups of vertebrates. It contains numerous figures and tables to aid in their comparison, including many illustrations of gastrointestinal tracts of vertebrates prepared so as to allow for direct comparison. The terminology of scientific specialties and sub-specialties is defined and animals are referred to by both their common and scientific names. Relationships between digestive strategies and the diet and environment are discussed throughout the text, and brought together in a chapter on the evolution of the digestive system. The final chapter offers a brief summary of the major concepts and suggests future directions for research.

Between 1915 and the early 1940s, the Chicago school brought to its research on urbanism innovative, vigorous, and eclectic methods of analysis. Members of the Chicago school used a dazzling array of

The problem of stochastic control of partially observable systems plays an important role in many applications. All real problems are in fact of this type, and deterministic control as well as stochastic control with full observation can only be approximations to the real world. This justifies the importance of having a theory as complete as possible, which can be used for numerical implementation. This book first presents those problems under the linear theory that may be dealt with algebraically. Later chapters discuss the nonlinear filtering theory, in which the statistics are infinite dimensional and thus, approximations and perturbation methods are developed.

This volume is intended to provide researchers and graduate students with the basic aspects of the continuum modeling of electroelastic interactions in solids. A concise treatment of linear, nonlinea

Written by a pioneer in the development of quantitative reliability methods for aircraft systems analysis and design, this text encompasses the entire field of reliability engineering. It draws on sta

Offers a step-by-step explanation of driving horse training, discussing the horse's fitness, selecting the carriage and tack, harnessing methods, basic ground training, and other topics

In this volume Culy provides a basic lexical, analytical and syntactical analysis of the Greek text of 1, 2, 3 John - information often presumed by technical commentaries and omitted by popular ones.

Presents an analysis of the Bush Administration's policy in Iraq, arguing that the Iraqi invasion has eroded the basic values of America at home and hurt its standing in the world.

The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. Peter J. Cameron, internationally recognized for his substantial contributions to the area, served as academic consultant for this volume, and the result is ten expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help th

This revised, expanded, edition covers the theory, design, geometry and manufacture of all types of gears and gear drives. This is an invaluable reference for designers, theoreticians, students, and manufacturers. This edition includes advances in gear theory, gear manufacturing, and computer simulation. Among the new topics are: 1. New geometry for modified spur and helical gears, face-gear drives, and cycloidal pumps. 2. New design approaches for one stage planetary gear trains and spiral bevel gear drives. 3. An enhanced approach for stress analysis of gear drives with FEM. 4. New methods of grinding face gear drives, generating double crowned pinions, and improved helical gear shaving. 5. Broad application of simulation of meshing and TCA. 6. New theories on the simulation of meshing for multi-body systems, detection of cases wherein the contact line on generating surfaces may have its own envelope, and detection and avoidance of singularities of generated surfaces.

This book provides a comprehensive introduction to the physical phenomena that result from the interaction of the sun and the planets - often termed space weather. Physics of the Space Environment explores the basic processes in the Sun, in the interplanetary medium, in the near-Earth space, and down into the atmosphere. The first part of the book summarizes fundamental elements of transport theory relevant for the atmosphere, ionosphere and the magnetosphere. This theory is then applied to physical phenomena in the space environment. The fundamental physical processes are emphasized throughout, and basic concepts and methods are derived from first principles. This book is unique in its balanced treatment of space plasma and aeronomical phenomena. Students and researchers with a basic mathematics and physics background will find this book invaluable in the study of phenomena in the space environment.

Time series econometrics is a rapidly evolving field. Particularly, the cointegration revolution has had a substantial impact on applied analysis. Hence, no textbook has managed to cover the full range of methods in current use and explain how to proceed in applied domains. This gap in the literature motivates the present volume. The methods are sketched out, reminding the reader of the ideas underlying them and giving sufficient background for empirical work. The treatment can also be used as a textbook for a course on applied time series econometrics. Topics include: unit root and cointegration analysis, structural vector autoregressions, conditional heteroskedasticity and nonlinear and nonparametric time series models. Crucial to empirical work is the software that is available for analysis. New methodology is typically only gradually incorporated into existing software packages. Therefore a flexible Java interface has been created, allowing readers to replicate the applications and