Basic Methods of Linear Functional Analysis

Henry John Roby (1830–1915) was a Cambridge-educated classicist whose influential career included periods as a schoolmaster, professor of Roman law, businessman, educational reformer and Member of Parliament. His two-volume Grammar of the Latin Language went through seven editions during his lifetime. It provides in-depth analysis of Latin phonetics, noun and verb construction, and syntax and morphology, taking a descriptive approach. Drawing examples from the corpus of classical writings dating from circa 200 BCE. to 120 CE, this first volume (1872) discusses sounds and syllable quantities, noun and verb inflexions, and the basic elements of word formation, organized according to noun and verb stems. Appendices include pronoun tables, lists of weights and measures, and a chronological compilation of inscriptions from the republican era. A work of remarkable breadth and depth, Roby's book remains an essential resource for both historical linguistics and the study of Latin grammar.

A founding member of the Jesuit order, Francis Xavier (1506–1552) travelled as a missionary to India, Japan and China in the mid-sixteenth century. He is traditionally associated with legends of miraculous works and the conversion of tens of thousands of people. This controversial 1862 biography by the Anglican missionary clergyman Henry Venn (1796–1873) uses Xavier's own words to examine the future saint's character and private thoughts. Xavier's correspondence reveals a sensitive, energetic and occasionally vengeful man who was not averse to employing aggressive means. Containing numerous letters printed in full, Venn's chronicle provides an analysis of Xavier's mission, methods and achievements from a non-Catholic perspective. Venn also explores Xavier's close friendship with the Jesuits' founder Ignatius Loyola, and probes the facts behind previous biographers' tales of miracles. The book ends with a detailed and challenging appraisal of the overall success of the worldwide Roman C

Kreyer (English linguistics, U. of Marburg, Germany) summarizes the basic syntactic categories, analytical methods, and theoretical frameworks that are needed for a comprehensive and systematic descri

Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the con

Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in many-particle physics, emphasizing the applicability of the formalism to concrete problems. This second edition contains two new chapters developing path integral approaches to classical and quantum nonequilibrium phenomena. Other chapters cover a range of topics, from the introduction of many-body techniques and functional integration, to renormalization group methods, the theory of response functions, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion focuses on practical experimental applications drawn largely from condensed matter physics and neighboring fields. Extended and challenging problems with fully worked solutions provide a bridge between formal manipulations and research-oriented thinking. Aimed at elevating graduate students to a level wh

This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum gravity and cosmology, and solid state physics. The authors include many new results, some of which constitute new areas in p-adic analysis related to the theory of distributions, such as wavelet theory, the theory of pseudo-differential operators and equations, asymptotic methods, and harmonic analysis. Any researcher working with applications of p-adic analysis will find much of interest in this book. Its extended introduction and self-contained presentation also make it accessible to graduate students appr

Presents an analysis of such issues as income distribution, saving, taxation, spending, health care, employment, and financial investment, and explains why they have become problematic under current A

Covering basic physical concepts, experimental methods, and applications, this book is an indispensable text on the fascinating science of magnetism, and an invaluable source of practical reference data. Accessible, authoritative, and assuming undergraduate familiarity with vectors, electromagnetism and quantum mechanics, this textbook is well suited to graduate courses. Emphasis is placed on practical calculations and numerical magnitudes - from nanoscale to astronomical scale - focussing on modern applications, including permanent magnet structures and spin electronic devices. Each self-contained chapter begins with a summary, and ends with exercises and further reading. The book is thoroughly illustrated with over 600 figures to help convey concepts and explain ideas clearly. Easily digestible tables and data sheets provide a wealth of useful information on magnetic properties. The thirty-eight principal magnetic materials, and many more related compounds, are treated in detail.

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

The definitive guide to earthmoving and machines--fully updated"The most comprehensive source of basic excavation information available." -- Construction Methods & Equipment"The down-in-the-dirt s

This is the first book to provide a comprehensive and state-of-the-art introduction to the novel and fast-evolving topic of in-situ produced cosmogenic nuclides. It presents an accessible introduction to the theoretical foundations, with explanations of relevant concepts starting at a basic level and building in sophistication. It incorporates, and draws on, methodological discussions and advances achieved within the international CRONUS (Cosmic-Ray Produced Nuclide Systematics) networks. Practical aspects such as sampling, analytical methods and data-interpretation are discussed in detail and an essential sampling checklist is provided. The full range of cosmogenic isotopes is covered and a wide spectrum of in-situ applications are described and illustrated with specific and generic examples of exposure dating, burial dating, erosion and uplift rates, and process model verification. Graduate students and experienced practitioners will find this book a vital source of information on th

How do once bitter enemies move beyond entrenched rivalry at the diplomatic level? In one of the first attempts to apply practice theory to the study of International Relations, Vincent Pouliot builds on Pierre Bourdieu's sociology to devise a theory of practice of security communities and applies it to post-Cold War security relations between NATO and Russia. Based on dozens of interviews and a thorough analysis of recent history, Pouliot demonstrates that diplomacy has become a normal, though not a self-evident, practice between the two former enemies. He argues that this limited pacification is due to the intense symbolic power struggles that have plagued the relationship ever since NATO began its process of enlargement at the geographical and functional levels. So long as Russia and NATO do not cast each other in the roles that they actually play together, security community development is bound to remain limited.

This book describes integrity management procedures for thin-walled structures such as gas pipelines. This includes various methods for analysis of crack growth in thin-walled structures and probabil

Aimed at advanced undergraduate and graduate students in mathematics and related disciplines, this book presents the concepts and results underlying the Bayesian, frequentist and Fisherian approaches, with particular emphasis on the contrasts between them. Computational ideas are explained, as well as basic mathematical theory. Written in a lucid and informal style, this concise text provides both basic material on the main approaches to inference, as well as more advanced material on developments in statistical theory, including: material on Bayesian computation, such as MCMC, higher-order likelihood theory, predictive inference, bootstrap methods and conditional inference. It contains numerous extended examples of the application of formal inference techniques to real data, as well as historical commentary on the development of the subject. Throughout, the text concentrates on concepts, rather than mathematical detail, while maintaining appropriate levels of formality. Each chapter

Biomedical signal analysis has become one of the most important visualization and interpretation methods in biology and medicine. Many new and powerful instruments for detecting, storing, transmittin

Significantly revised in light of sweeping changes in the economy and government, this book provides students with a grasp of basic economic tools through the analysis of important economic issues and

Random walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. Elements of the Random Walk is an introduction to some of the most powerful and general techniques used in the application of these ideas. The mathematical construct that runs through the analysis of the topics covered in this book, unifying the mathematical treatment, is the generating function. Although the reader is introduced to analytical tools, such as path-integrals and field-theoretical formalism, the book is self-contained in that basic concepts are developed and relevant fundamental findings fully discussed. Mathematical background is provided in supplements at the end of each chapter, when appropriate. This text will appeal to graduate students across science, engineering and mathematics who need to understand the applications of random walk techniques, as well as to established researchers.

From the Ballot to the Blackboard provides the first comprehensive account of the political economy of education spending across the developed and developing world. The book demonstrates how political forces like democracy and political partisanship and economic factors like globalization deeply impact the choices made by voters, parties, and leaders in financing education. The argument is developed through three stories that track the historical development of education: first, its original expansion from the elite to the masses; second, the partisan politics of education in industrialized states; and third, the politics of higher education. The book uses a variety of complementary methods to demonstrate the importance of redistributive political motivations in explaining education policy, including formal modeling, statistical analysis of survey data and both sub-national and cross-national data, and historical case analyses of countries including the Philippines, India, Malaysia, En

How do once bitter enemies move beyond entrenched rivalry at the diplomatic level? In one of the first attempts to apply practice theory to the study of International Relations, Vincent Pouliot builds on Pierre Bourdieu's sociology to devise a theory of practice of security communities and applies it to post-Cold War security relations between NATO and Russia. Based on dozens of interviews and a thorough analysis of recent history, Pouliot demonstrates that diplomacy has become a normal, though not a self-evident, practice between the two former enemies. He argues that this limited pacification is due to the intense symbolic power struggles that have plagued the relationship ever since NATO began its process of enlargement at the geographical and functional levels. So long as Russia and NATO do not cast each other in the roles that they actually play together, security community development is bound to remain limited.

In this wide-ranging survey of ancient Greek narrative from archaic epic to classical prose, Alex Purves shows how stories unfold in space as well as in time. She traces a shift in authorial perspective, from a godlike overview to the more focused outlook of human beings caught up in a developing plot, inspired by advances in cartography, travel, and geometry. Her analysis of the temporal and spatial dimensions of ancient narrative leads to new interpretations of important texts by Homer, Herodotus, and Xenophon, among others, showing previously unnoticed connections between epic and prose. Drawing on the methods of classical philology, narrative theory, and cultural geography, Purves recovers a poetics of spatial representation that lies at the core of the Greeks' conception of their plots.

The texts collected in this volume, which was originally published in 1969, contain Herder's most original and stimulating ideas on politics, history and language. They had for the most part not been previously available in English. In his introduction, Professor Barnard analyses the basic premises of Herder's political thought against the background of the Enlightenment. He examines Herder's concepts of language, community and culture, his theory of historical interaction, and his approach to the problem of change and progress. Finally, he provides a brief comparative analysis of traditionalist thought following the French Revolution, showing how substantive writers like Burke differed from Herder despite the close similarity of political vocabulary.

Covering the essentials of analog circuit design, this book takes a unique design approach based on a MOSFET model valid for all operating regions, rather than the standard square-law model. Opening chapters focus on device modeling, integrated circuit technology, and layout, whilst later chapters go on to cover noise and mismatch, and analysis and design of the basic building blocks of analog circuits, such as current mirrors, voltage references, voltage amplifiers, and operational amplifiers. An introduction to continuous-time filters is also provided, as are the basic principles of sampled-data circuits, especially switched-capacitor circuits. The final chapter then reviews MOSFET models and describes techniques to extract design parameters. With numerous design examples and exercises also included, this is ideal for students taking analog CMOS design courses and also for circuit designers who need to shorten the design cycle.

This book uses evidence from theatrical hand-books, performance practice and drama training to provide a synthesis of academic and theatrical approaches to the Shakespearean text. Abigail Rokison's work combines scholarship with practical exploration in the rehearsal room. In looking at theatrical interaction with early printed and modern edited texts, Rokison investigates the potential impact of editorial principles of lineation and punctuation on theatrical delivery. The book alerts editors to ways in which actors may interpret editorial emendations, and theatre practitioners to diverse authorial, editorial and compositional methods. It contains suggestions for a 'theatrical text' which makes clear the metrical structure of a scene whilst also indicating areas of ambiguous lineation. Providing a fresh perspective on Renaissance actors' parts, the book includes detailed analysis of the structural properties of the verse, in particular short lines, shared lines, end-stopping and enjamb

Three authors identified only by name introduce methods for using video for research in the social sciences, particularly using audio-visual recordings to support the analysis of everyday social activ

Throughout the 1950s, methods of experimental analysis led to a great increase in knowledge of the machinery of insect flight. In this 1957 monograph, Dr Pringle brings together the results of his investigations of the mechanics of wing motion, the structure and physiology of flight muscle, aerodynamics, sense organs and nervous co-ordination, and shows how a common structural plan has been perfected during the course of evolution to produce the variety of form and function found in the different insect orders. Of particular interest is the special type of muscle found only in the higher insects and responsible for the very high wing-beat frequencies of some flies and bees. Many different lines of approach have contributed to the understanding of insect flight, and the subject is of great interest to entomologists, comparative physiologists and biological engineers.

With signal combining and detection methods now representing a key application of signal processing in communication systems, this book provides a range of key techniques for receiver design when multiple received signals are available. Various optimal and suboptimal signal combining and detection techniques are explained in the context of multiple-input multiple-output (MIMO) systems, including successive interference cancellation (SIC) based detection and lattice reduction (LR) aided detection. The techniques are then analyzed using performance analysis tools. The fundamentals of statistical signal processing are also covered, with two chapters dedicated to important background material. With a carefully balanced blend of theoretical elements and applications, this book is ideal for both graduate students and practising engineers in wireless communications.

Michael Ruse offers a new analysis of the often troubled relationship between science and religion. Arguing against both extremes - in one corner, the New Atheists; in the other, the Creationists and their offspring the Intelligent Designers - he asserts that science is the highest source of human inquiry. Yet, by its very nature and its deep reliance on metaphor, science restricts itself and is unable to answer basic, significant questions about the meaning of the universe and humankind's place within it: why is there something rather than nothing? What is the meaning of it all? Ruse shows that one can legitimately be a skeptic about these questions, and yet why it is open for a Christian, or member of any faith, to offer answers. Scientists, he concludes, should be proud of their achievements but modest about their scope. Christians should be confident of their mission but respectful of the successes of science.

A Treatise on Wood Engraving, Historical and Practical (1839), combines the practical knowledge of an engraver with the critical inquiry of an historian. Compiled and edited by William Andrew Chatto, an established author with an interest in woodcuts, the book was originally conceived by the wood-engraver John Jackson, who provided the book's more than three hundred engravings. Roughly three quarters of the Treatise is concerned with the historical evolution of engraving, from the Egyptian hieroglyph stamps held at the British Museum through the masterful works of Albrecht Dürer to the decline and reinvigoration of the art in the seventeenth and eighteenth centuries. Practical analysis permeates the text as a whole, with the final section explaining more fully how a block is chosen, cut, and even repaired. The book is therefore of interest to art historians, historians of the book, and even artist practitioners interested in nineteenth-century methods.

This analysis of methods for subjecting integrated circuits and semiconductor devices to electrical testing and stress testing will serve as a tutorial for engineers working with automatic test equipm

This introduction to direction-of-arrival (DOA) estimation provides an overview and performance analysis of basic DOA algorithms and comparisons among themselves. It is intended for readers new to the

Julio Cortázar is one of the best-known successful Latin American writers. His work has been widely translated and this 1980 book is a clear and detailed study of his four major novels. Steven Boldy recognises the complexity, the 'nerve centres of contradiction and tension' of Cortázar's novels, which resist a single dogmatic interpretation, but Dr Boldy's sympathetic analysis allows the reader to approach an understanding of the individual novels and the way these are linked by an underlying thematic pattern. Cortázar's work is seen in the context of its European and Argentinian background: the cultural materials of surrealism, allusiveness and eclecticism that he absorbs and transforms. The approach to the four major novels is not limited to one particular aspect or theme, but the dualism inherent in the writing and its philosophical and formal implications provide the basic framework for study.

John Holloway is probably best known for his work on Shakespeare and on the Victorian and modern periods; this 1979 book represents an extension of his interests hitherto. Though not intended as mathematical analyses of fiction or drama, the essays here have evolved largely by allowing broad mathematical concepts to suggest original lines of argument in the critical analysis of narrative structure. Among the authors to come under detailed consideration are Boccaccio, Racine, George Eliot, Dostoevsky, Chekhov, and Henry James, as well as several more recent English novelists, and the tendency of the book as a whole is to invite application of the critical approaches that it explores to a still wider range of literary works. Professor Holloway also considers some fundamental issues relating structural analysis to the concerns of the literary critic, and he includes appendices on methods of analysing political oratory, and on the idea of the transformation rule as an aid to the critical d

This book is the first to explore the diversity of management objectives and the different approaches to wildlife management of large ungulates in a wide range of different European countries. Specialist authors from each country present an analysis of the species present, numerical status and distribution of different ungulates which occur in their particular country and consider issues which must be addressed by management (whether management for conservation, for control of damaging impacts or for exploitation). Management systems are described (and both legislative and administrative structures) together with an evaluation of how effective current management practices may be in addressing problems identified - or the extent to which they may contribute to those problems. The book is aimed primarily at those who may be actively involved in research into improving methods of wildlife management; practising wildlife managers and game-keepers; policy makers in local regional or nationa

This book describes the essential tools and techniques of statistical signal processing. At every stage theoretical ideas are linked to specific applications in communications and signal processing using a range of carefully chosen examples. The book begins with a development of basic probability, random objects, expectation, and second order moment theory followed by a wide variety of examples of the most popular random process models and their basic uses and properties. Specific applications to the analysis of random signals and systems for communicating, estimating, detecting, modulating, and other processing of signals are interspersed throughout the book. Hundreds of homework problems are included and the book is ideal for graduate students of electrical engineering and applied mathematics. It is also a useful reference for researchers in signal processing and communications.

This 1992 book provides a coherent and comprehensive treatment of the thermodynamics and gas dynamics of the practical Stirling cycle. Invented in 1816, the Stirling engine is the subject of worldwide research and development on account of unique qualities - silence, indifference to heat source, low level of emissions when burning conventional fuels and an ability to function in reverse as heat pump or refrigerator. The student of engineering will discover an instructure and illuminating case study revealing the interactions of basic disciplines. The researcher will find the groundwork prepared for various types of computer simulation, Those involved in the use and teaching of solution methods for unsteady gas dynamics problems will find a comprehensive treatment on nonlinear and linear wave approaches, for the Stirling machine provides an elegant example of the application of each. The book will be of use to all those involved in researching, designing or manufacturing Stirling prime

Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.

The last generation of gospel scholarship has considered the reconstruction and analysis of the audience behind the gospels as paradigmatic. The key hermeneutical template for reading the gospels has been the quest for the community that each gospel represents. This scholarly consensus regarding the audience of the gospels has been reconsidered. Using as a test case one of the most entrenched gospels, Edward Klink explores the evidence for the audience behind the Gospel of John. This study challenges the prevailing gospel paradigm by examining the community construct and its functional potential in early Christianity, the appropriation of a gospel text and J. L. Martyn's two-level reading of John, and the implied reader located within the narrative. The study concludes by proposing a more appropriate audience model for reading John, as well as some implications for the function of the gospel in early Christianity.

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

What do you know, if you know that a language has 'Object Verb' structure rather than 'Verb Object'? Answering this question and many others, this book provides an essential guide to the syntactic structure of German. It examines the systematic differences between German and English, which follow from this basic difference in sentence structure, and presents the main results of syntactic research on German. Topics covered include the strict word order in VO vs word order variation in OV, verb clustering, clause union effects, obligatory functional subject position, and subject-object asymmetries for extractions. Through this, a cross-model and cross-linguistic comparison evolves, highlighting the immediate implications for non-Germanic OV languages, and creating a detailed and comprehensive description of the syntactic differences that immediately follow from an OV type in contrast with a VO type like English. It will be of interest to all those interested in syntax and Germanic langua

This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal ideal domain). The presentation is almost entirely self-contained, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. No experience with analysis, geometry, number theory or topology is assumed. Within the context of linear algebra, K-theory organises and clarifies the relations among ideal class groups, group representations, quadratic forms, dimensions of a ring, determinants, quadratic reciprocity and Brauer groups of fields. By including introductions to standard algebra topics (tensor products, localisation, Jacobson radical, chain conditions, Dedekind domains, semi-simple rings, exterior algebras), the author makes algebraic K-theory accessible to first-year graduate students and other mathematically sophisticated readers. Even if your algebra is rusty, you can read