Complex Analysis

This study sheds light on the complex relationship between cognitive and linguistic categories. Challenging the view of cases as categories in cognitive space, Professor Schlesinger proposes an understanding of the concept of case. Drawing on evidence from psycholinguistic research and English language data, he argues that case categories are in fact composed of more primitive cognitive notions: features and dimensions. These are registered in the lexical entries of individual verbs, thereby allowing certain metaphorical extensions. This approach to case permits better descriptions of certain syntactic phenomena, as Schlesinger illustrates through the analysis of the feature compositions of three cases.

There are many questions yet to be answered about how Standard English came into existence. The claim that it developed from a Central Midlands dialect propagated by clerks in the Chancery, the medieval writing office of the king, is one explanation that has dominated textbooks to date. This book reopens the debate about the origins of Standard English, challenging earlier accounts and revealing a far more complex and intriguing history. An international team of fourteen specialists offer a wide-ranging analysis, from theoretical discussions of the origin of dialects, to detailed descriptions of the history of individual Standard English features. The volume ranges from Middle English to the present day, and looks at a variety of text types. It concludes that Standard English had no one single ancestor dialect, but is the cumulative result of generations of authoritative writing from many text types.

Modern life in increasingly heterogeneous societies has directed attention to patterns of interaction, often using a framework of persecution and tolerance. This study of the economic, social, legal and religious position of three minorities (Jews, Muslims and pagan Turkic nomads) argues that different degrees of exclusion and integration characterized medieval non-Christian status in the medieval Christian kingdom of Hungary between 1000 and 1300. A complex explanation of non-Christian status emerges from the analysis of their economic, social, legal and religious positions and roles. Existence on the frontier with the nomadic world led to the formulation of a frontier ideology, and to anxiety about Hungary's detachment from Christendom, which affected policies towards non-Christians. The study also succeeds in integrating central European history with the study of the medieval world, while challenging such current concepts in medieval studies as frontier societies, persecution and to

This book provides a comprehensive historical overview and analysis of the complex and often vexing problem of understanding the formation of US human rights policy over the past thirty-five years, a

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text adopts the latter perspective by applying a

L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

This book provides a comprehensive historical overview and analysis of the complex and often vexing problem of understanding the formation of US human rights policy over the past thirty-five years, a

A visually intuitive approach to statistical data analysis Visual Statistics brings the most complex and advanced statistical methods within reach of those with little statistical training by

The theory of probability is a powerful tool that helps electrical and computer engineers to explain, model, analyze, and design the technology they develop. The text begins at the advanced undergraduate level, assuming only a modest knowledge of probability, and progresses through more complex topics mastered at graduate level. The first five chapters cover the basics of probability and both discrete and continuous random variables. The later chapters have a more specialized coverage, including random vectors, Gaussian random vectors, random processes, Markov Chains, and convergence. Describing tools and results that are used extensively in the field, this is more than a textbook; it is also a reference for researchers working in communications, signal processing, and computer network traffic analysis. With over 300 worked examples, some 800 homework problems, and sections for exam preparation, this is an essential companion for advanced undergraduate and graduate students. Further re

In this 2001 book Yung-chen Chiang tells the story of the origins, hopes, visions and achievements of the social sciences movement in China during the first half of the twentieth century. He focuses on the efforts of social scientists at three institutions - the Yanjing Sociology Department, Nankai Institute of Economics, and Chen Hansheng's Marxist agrarian research enterprise - to relate their disciplines to the needs of Chinese society. As all three groups received funding from the Rockefeller Foundation, their stories offer a unique window on to Sino-American interactions, revealing how the social sciences became a lingua franca of the cultural frontier. Drawing on an impressive variety of archival materials used here for the first time, this study corrects and enriches current scholarship, presenting both a more detailed and panoramic view. Chiang's analysis engages the complex and broader issues of the transfer, indigenization and international patronage of social science discipl

In this text, Omar Calabrese, who is a distinguished art historian and linguist, offers an analysis of a fascinating genre - the self-portrait. He reveals that a self-portrait is far more complex tha

The general area of geophysical fluid mechanics is truly interdisciplinary. Now ideas from statistical physics are being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics and equilibrium statistical mechanics are introduced and applied to large time-selective decay, the effect of large scale forcing, nonlinear stability, fluid flow on a sphere and Jupiter's Great Red Spot. The book is the first to adopt this approach and it contains many recent ideas and results. Its audience ranges from graduate students and researchers in both applied mathematics and the geophysical sciences. It illustrates the richness of the interplay of mathematical analysis, qualitative models and numerical simulations which combine in the emerging area of computational science.

This book, first published in 2000, is a systematic analysis of German public opinion at the outbreak of the Great War and the first treatment of the myth of the 'spirit of 1914', which stated that in August 1914 all Germans felt 'war enthusiasm' and that this enthusiasm constituted a critical moment in which German society was transformed. Jeffrey Verhey's powerful study demonstrates that the myth was historically inaccurate. Although intellectuals and much of the upper class were enthusiastic, the emotions and opinions of most of the population were far more complex and contradictory. The book further examines the development of the myth in newspapers, politics and propaganda, and the propagation and appropriation of this myth after the war. His innovative analysis sheds light on German experience of the Great War and on the role of political myths in modern German political culture.

This study of reduplication in Afrikaans provides a unified and principled analysis of an unusual and highly complex word formation process, shedding new light on the scope and content of various fundamental lexicalist principles of word formation. Surprisingly, Rudolf Botha concludes that the principles involved in Afrikaans reduplication are not unique to Afrikaans, as has often been thought, and are used by many other languages. Moreover, the interpretation of Afrikaans reduplications depends on principles of conceptual structure that are restricted neither to Afrikaans nor to the interpretation of reduplications, thus supporting recent work on cognition and meaning undertaken by Ray Jackendoff and other scholars. In analysing the data, Professor Botha has also provided a concrete illustration of how the Galilean style of linguistic inquiry can fruitfully be applied in the study of word formation and meaning. The study thus represents an important theoretical and methodological adva

Stauffer demonstrates the complex unity of Plato's Gorgias through a careful analysis of the dialogue's three main sections. This includes Socrates' famous argumentative duel with Callicles, a passionate critic of justice and philosophy, showing how the seemingly disparate themes of rhetoric, justice and the philosophic life are woven together into a coherent whole. His interpretation of the Gorgias sheds new light on Plato's thought, showing that Plato and Socrates had a more favourable view of rhetoric than is usually supposed. Stauffer also challenges common assumptions concerning the character and purpose of some of Socrates' most famous claims about justice. Written as a close study of the Gorgias, Stauffer also treats broad questions concerning Plato's moral and political psychology and uncovers the view of the relationship between philosophy and politics that guided Plato as he wrote his dialogues.

A sensitive and penetrating analysis, scene by scene, act by act, of this most complex and ambiguous of Shakespeare's great plays, seen through the eyes of both the literary critic and the student of

The Sacrifice provides a uniquely detailed account of the sociological context of animal experimentation. The authors provide a rich analysis of complex and changing role of the laboratory animal in t

The relationship between language and other aspects of conceptual development is one of the central issues in child language acquisition. One view holds that language is a special capacity, separate from other areas of cognition and learning. Another maintains that language is part of a larger, more general cognitive system, and is crucially dependent on other cognitive domains. Recent research has turned to blind children and their acquisition of language as a way of evaluating whether and how language development relies on the non-linguistic context. Vision and the Emergence of Meaning addresses this complex problem through a detailed empirical analysis of early language development in a group of blind, partially sighted and fully sighted children who took part in a pioneering longitudinal investigation at the University of Southern California. By exploring the strategies which blind children bring to selected aspects of the language learning task, Anne Dunlea not only identifies som

The last two decades have seen an international explosion of interest in theories of mind, culture, and activity. This unique collection is the first to explicitly reach back to the tradition's original critical impulse within which the writings of Karl Marx played such a central role. Each author pushes this impulse further to address leading contemporary questions. It includes a diverse array of international scholars working from the fields of education, psychology, philosophy, sociology, anthropology, communications, industrial relations, and business studies. Broken into three main sections - education, work, and everyday life - each chapter builds from an analysis of practice and learning as social cultural participation and historical change in relation to the concept of activity, contradiction, and struggle. This book offers insight into an important complex of overlapping practices and institutions to shed light on broader debates over such matters as the 'knowledge economy' a

Co-authored by Eugene Nida and JIN Di, On Translation was first published in 1984 by the China Translation and Publishing Corporation in Beijing. It is widely recognized as a classic in translation theory with a practical orientation. Following the theoretical framework Nida had developed over decades of work on translation and semiotics, the two authors offer an easily comprehensible analysis of the complex problems involved in translation. After a critical review of the historical development of translation theory in the light of modern information theory, they elucidate the most fundamental principles of translation in accordance with the concept of dynamic equivalence. The treatment is closely related to actual translation practice, and the principles elucidated are applicable to all types of translation, though most of the examples analyzed are taken from translations between Chinese and English. This new and expanded edition has two main parts. Part I is the complete text of th

This provocative analysis and critique of American representations of Oceania and Oceanians from the nineteenth century to the present, argues that imperial fantasies have glossed over a complex, viol

Mechanisms are fundamental components of machines. They are used to transmit forces and moments and to manipulate objects in industrial machinery, robots, automobiles, aircraft, mechatronics devices and biomechanical systems. A knowledge of the kinematic and dynamic properties of mechanisms is essential for their design and control. This book describes methods and algorithms for the analysis of kinematic systems. Beginning with basic concepts, the book then discusses a variety of problem-solving approaches and computational techniques. Its distinctive feature is its focus on the contour equation as a powerful, computationally efficient tool that will help the reader to design complex spatial mechanisms. This handy text will be useful for senior or graduate students, researchers and practising engineers working in robotics, vehicle dynamics, mechatronics and machine design.

This volume examines themes that complicate the conventional economist's view of the world and thereby provide for a notably more complex, and humane, subject of study than the traditional Homo economicus. Written by economists and philosophers, these essays attempt to place neoclassical economic theory, especially conventional textbook micro-economic theory, in the broader context of other social sciences and modern economics. In doing so, the book aims to find the boundaries of economics and to define more sharply its relationship to other kinds of inquiry. Though the widespread use of textbook microtheory in business, economic, and political analysis is a clear testament to its power, the restrictions and artificialities of neoclassical assumptions give cause for worry even to many economists. This book examines the extent to which the economist's paradigm - that man is characterized chiefly by self-interested goals and rational choice of means - is useful in studying traditional no

This book provides a historical study of New Deal public works programs and their role in transforming the American economy, landscape, and political system during the twentieth century. Reconstructing the story of how reformers used public authority to reshape the nation, Jason Scott Smith argues that the New Deal produced a revolution in state-sponsored economic development. The scale and scope of this dramatic federal investment in infrastructure laid crucial foundations - sometimes literally - for postwar growth, presaging the national highways and the military-industrial complex. This impressive and exhaustively researched analysis underscores the importance of the New Deal in comprehending political and economic change in modern America by placing political economy at the center of the 'new political history'. Drawing on a remarkable range of sources, Smith provides a reinterpretation of the relationship between the New Deal's welfare state and American liberalism.

Pope printed his Imitations of Horace alongside the original Horatian poems on which they were based, and to understand these works fully it is necessary to compare in detail each Imitation with its original. This is the first book to do so. Through a close analysis of each Horatian poem (translated anew, for the many readers of Pope who do not know Latin), Mr Stack explores the complex and subtle intertextual relationship between Pope's Imitations and their originals. An important feature of the book is the detailed comparison with other eighteenth-century views of Horace. Two chapters on the interpretation of Horace in the seventeenth and eighteenth centuries highlight the power and originality of Pope's treatment. By drawing upon a wide range of twentieth-century criticism of Horace, Mr Stack shows that Pope's Imitations are still challenging and can make us look afresh at Horace's poems. The thrust of the book is to emphasize the radical nature of Pope's interpretation of Horace, a

The political campaign is one of the most important organizations in a democracy, and whether issue or candidate specific, it is one of the least understood organizations in contemporary political life. This book is a critical assessment of the role that information technologies have come to play in contemporary campaigns. With evidence from ethnographic immersion, survey data, and social network analysis, Howard examines the evolving act of political campaigning and the changing organization of political campaigns over the last five election cycles, from 1996 to 2004. Over this time, both grassroots and elite political campaigns have gone online, built multimedia strategies, and constructed complex relational databases. The contemporary political campaign adopts digital technologies that improve reach and fundraising, and at the same time adapts their organizational behavior. The new system of producing political culture has immense implications for the meaning of citizenship and the

The political campaign is one of the most important organizations in a democracy, and whether issue or candidate specific, it is one of the least understood organizations in contemporary political life. This book is a critical assessment of the role that information technologies have come to play in contemporary campaigns. With evidence from ethnographic immersion, survey data, and social network analysis, Howard examines the evolving act of political campaigning and the changing organization of political campaigns over the last five election cycles, from 1996 to 2004. Over this time, both grassroots and elite political campaigns have gone online, built multimedia strategies, and constructed complex relational databases. The contemporary political campaign adopts digital technologies that improve reach and fundraising, and at the same time adapts their organizational behavior. The new system of producing political culture has immense implications for the meaning of citizenship and the

The second part of this two-volume set contains advanced aspects of the quantitative theory of the dynamics of neurons. It begins with an introduction to the effects of reversal potentials on response to synaptic input. It then develops the theory of action potential generation based on the seminal Hodgkin-Huxley equations and gives methods for their solution in the space-clamped and non-space-clamped cases. The remainder of the book discusses stochastic models of neural activity and ends with a statistical analysis of neuronal data with emphasis on spike trains. The mathematics is more complex in this volume than in the first volume and involves numerical methods of solution of partial differential equations and the statistical analysis of point processes.

Tools developed by statistical physicists are of increasing importance in the analysis of complex biological systems. Physics in Molecular Biology, first published in 2005, discusses how physics can be used in modeling life. It begins by summarizing important biological concepts, emphasizing how they differ from the systems normally studied in physics. A variety of topics, ranging from the properties of single molecules to the dynamics of macro-evolution, are studied in terms of simple mathematical models. The main focus of the book is on genes and proteins and how they build systems that compute and respond. The discussion develops from simple to complex systems, and from small-scale to large-scale phenomena. This book will inspire advanced undergraduates and graduate students in physics to approach biological subjects from a physicist's point of view. It is self-contained, requiring no background knowledge of biology, and only familiarity with basic concepts from physics, such as for

This is the first book to examine the Aramaic dimension of Q since the Aramaic Dead Sea scrolls made such work more feasible. Maurice Casey gives a detailed examination of key passages in Matthew and Luke's gospels, demonstrating that they used two different Greek translations of an Aramaic source, which can be reconstructed. He overturns the conventional model of Q as a single Greek document, and shows that Jesus said everything in the original Aramaic source. Further analysis of other gospel passages shows the evangelists editing a Greek translation of an Aramaic source. On one, it can be shown that Mark utilises a different Aramaic source. A complex model of Q is thus proposed. Casey argues that Aramaic sources behind part of Q are of extremely early date, and should contribute significantly to the quest for the historical Jesus.

Nonlinear transport phenomena are an increasingly important aspect of modern semiconductor research. Nonlinear Spatio-Temporal Dynamics and Chaos in Semiconductors deals with complex nonlinear dynamics, pattern formation, and chaotic behaviour in such systems. In doing so it bridges the gap between two well-established fields: the theory of dynamic systems, and nonlinear charge transport in semiconductors. This unified approach is used to consider important electronic transport instabilities. The initial chapters lay a general framework for the theoretical description of nonlinear self-organized spatio-temporal patterns, like current filaments, field domains, fronts, and analysis of their stability. Later chapters consider important model systems in detail: impact ionization induced impurity breakdown, Hall instabilities, superlattices, and low-dimensional structures. State-of-the-art results include chaos control, spatio-temporal chaos, multistability, pattern selection, activator-inh

This 2002 book examines the interaction between ocean waves and oscillating systems. With a focus on linear analysis of low-amplitude waves, the text is designed to convey a thorough understanding of wave interactions. Topics covered include the background mathematics of oscillations, gravity waves on water, the dynamics of wave-body interactions, and the absorption of wave energy by oscillating bodies. Linear algebra, complex numbers, differential equations, and Fourier transformation are utilized as bases for the analysis, and each chapter ends with problems. While the book's focus is on linear theory, the practical application of energy storage and transport is interwoven throughout. This book will be appropriate for those with backgrounds in elementary fluid dynamics or hydrodynamics and mathematical analysis. Graduate students and researchers will find it an excellent source of wave energy theory and application.

Multiple Regression and Beyond offers a conceptually oriented introduction to multiple regression (MR) analysis, along with more complex methods that flow naturally from multiple regression: path ana

Freedom and the subject were guiding themes for Michel Foucault throughout his philosophical career. In this clear and comprehensive analysis of his thought, Johanna Oksala identifies the different interpretations of freedom in his philosophy and examines three major divisions of it: the archaeological, the genealogical, and the ethical. She shows convincingly that in order to appreciate Foucault's project fully we must understand his complex relationship to phenomenology, and she discusses Foucault's treatment of the body in relation to recent feminist work on this topic. Her sophisticated but lucid book illuminates the possibilities that Foucault's philosophy opens up for us in thinking about freedom.

During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.

The topic of 'circle packing' was born of the computer age but takes its inspiration and themes from core areas of classical mathematics. A circle packing is a configuration of circles having a specified pattern of tangencies, as introduced by William Thurston in 1985. This book, first published in 2005, lays out their study, from first definitions to latest theory, computations, and applications. The topic can be enjoyed for the visual appeal of the packing images - over 200 in the book - and the elegance of circle geometry, for the clean line of theory, for the deep connections to classical topics, or for the emerging applications. Circle packing has an experimental and visual character which is unique in pure mathematics, and the book exploits that to carry the reader from the very beginnings to links with complex analysis and Riemann surfaces. There are intriguing, often very accessible, open problems throughout the book and seven Appendices on subtopics of independent interest. Th

An analysis of how disease has shaped American history explores the connection between the environment and disease, outlining the complex forces that determine human health and concluding that disease

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.

'The social and political power of the verity that there are no such things as economies, only economic geographies demands an analysis of the complex flows and relations implied by it. At last, here

This 2005 book is a critical examination of Michel Foucault's relation to ancient Greek thought, in particular his famous analysis of Greek history of sexuality. Wolfgang Detel offers an understanding of Foucault's theories of power and knowledge based on modern analytical theories of science and concepts of power. He offers a complex reading of the texts which Foucault discusses, covering topics such as Aristotle's ethics and theory of sex, Hippocratic dietetics, the earliest treatises on economics, and Plato's theory of love. The result is a philosophically rich and probing critique of Foucault's later writings, and a persuasive account of the relation between ethics, power and knowledge in classical antiquity. His book will have a wide appeal to readers interested in Foucault and in Greek thought and culture.