Classical Complex Analysis

At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material.

Numerical simulation of compressible, inviscid time-dependent flow is a major branch of computational fluid dynamics. Its primary goal is to obtain accurate representation of the time evolution of complex flow patterns, involving interactions of shocks, interfaces, and rarefaction waves. The Generalized Riemann Problem (GRP) algorithm, developed by the authors for this purpose, provides a unifying 'shell' which comprises some of the most commonly used numerical schemes of this process. This monograph gives a systematic presentation of the GRP methodology, starting from the underlying mathematical principles, through basic scheme analysis and scheme extensions (such as reacting flow or two-dimensional flows involving moving or stationary boundaries). An array of instructive examples illustrates the range of applications, extending from (simple) scalar equations to computational fluid dynamics. Background material from mathematical analysis and fluid dynamics is provided, making the book

Spectropolarimetry embraces the most complete and detailed measurement and analysis of light, as well as its interaction with matter. This book provides an introductory overview of the area, which plays an increasingly important role in modern solar observations. Chapters include a comprehensive description of the polarization state of polychromatic light and its measurement, an overview of astronomical (solar) polarimetry, the radiative transfer equation for polarized light, and the formation of spectral lines in the presence of a magnetic field. Most topics are dealt with within the realm of classical physics, although a small amount of quantum mechanics is introduced where necessary. This text will be a valuable reference for graduates and researchers in astrophysics, solar physics and optics.

This stunning book represents the most comprehensive analysis to date of the complex relationships between black political thought and black political identity and behavior. Ranging from Frederick Dou

In Enemy Aliens, Prisoners of War Bohdan Kordan assesses the policy and practice of civilian internment in Canada during the Great War and provides a clear but critical analysis of the complex nature

Humanism and America provides a major study of the impact of the Renaissance and Renaissance humanism upon the English colonization of America. The analysis is conducted through an interdisciplinary examination of a broad spectrum of writings on colonization, ranging from the works of Thomas More to those of the Virginia Company. Andrew Fitzmaurice shows that English expansion was profoundly neo-classical in inspiration, and he excavates the distinctively humanist tradition that informed some central issues of colonization: the motivations of wealth and profit, honour and glory; the nature of and possibilities for liberty; and the problems of just title, including the dispossession of native Americans. Dr Fitzmaurice presents a colonial tradition which, counter to received wisdom, is often hostile to profit, nervous of dispossession and desirous of liberty. Only in the final chapters does he chart the rise of an aggressive, acquisitive and possessive colonial ideology.

In this wide-ranging book, Arnold Whittall considers a group of important composers of the twentieth century, including Debussy, Webern, Schoenberg, Stravinsky, Bartók, Janácek, Britten, Carter, Birtwistle, Andriessen and Adams. He moves skilfully between the cultural and the technical, the general and the particular, to explore the various contexts and critical perspectives which illuminate certain works by these composers. Considering the extent to which place and nationality contribute to the definition of musical character, he investigates the relevance of such images as mirroring and symmetry, the function of genre and the way types of identity may be suggested by such labels as classical, modernist, secular, sacred radical, traditional. These categories are considered as flexible and interactive and they generate a wide-ranging series of narratives delineating some of the most fundamental forces which affected composers and their works within the complex and challenging world of

Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book

This substantial anthology is a comprehensive, authoritative collection of the classical and contemporary readings in the philosophy of religion, providing a survey and analysis of the key issues, fig

This substantial anthology is a comprehensive, authoritative collection of the classical and contemporary readings in the philosophy of religion, providing a survey and analysis of the key issues, fig

A fundamental statistical framework for the analysis of complex longitudinal data is provided in this book. It provides the first comprehensive description of optimal estimation techniques based on ti

Offering a new understanding of the Hymn to Demeter, Ann Suter provides an analysis of methodological approaches, reconciling the seemingly disparate pieces of the complex narrative of the hymn. Exami

This 2002 book is a comprehensive analysis of the forces of the Spanish left - interpreted broadly - during the civil war of 1936–9, and the first of its kind for more than thirty years. It argues two crucial propositions. First, that the wartime responses (and limitations) of the Spanish left - republicans, socialists, communists and anarcho-syndicalists - can be understood only in relation to their pre-war experiences, world views, organisational structures and the wider Spanish context of acute uneven development which had moulded their organisations over previous decades. Second, that the overarching influence that shaped the evolution of the Republic between 1936 and 1939 was the war itself: the book explores the complex, cumulative effects of a civil war fought under the brutally destabilising conditions of an international arms embargo.

New Theatre Quarterly provides a lively international forum where theatrical scholarship and practice can meet, and where prevailing dramatic assumptions can be subjected to vigorous critical questioning. It shows that theatre history has a contemporary relevance, that theatre studies need a methodology, and that theatre criticism needs a language. The journal publishes news, analysis and debate within the field of theatre studies. Articles in volume 69 include: Cue for Passion: on the Dynamics of Shakespearean Acting; In Search of the Lost Mode: Improvisation and All That Jazz; Still In Yer Face? Towards a Critique and a Summation; The Acteon Complex: Gaze, Body, and Rites of Passage in Hedda Gabler; The RSC Goes Walkabout: The Dillen in Stratford, 1983; After Grotowski – the Next Generation; The Ventriloquial Paradox: George Steiner's The Portage to San Cristobal of A. H.

In both South and Southeast Asia, many upland groups make a living - in whole or part - through gathering and hunting, producing not only subsistence goods but commodities destined for regional and even world markets. These forager-traders have had an ambiguous position in ethnographic analysis, variously represented as relics, degraded hunter-gatherers, or recent upstarts. Forager-Traders in South and Southeast Asia adopts a multidisciplinary approach to these groups, presenting a series of comparative case-studies that analyse the long-term histories of hunting, gathering, trading, power relations, and regional social and biological interactions in this critical region. This book is a fascinating and important addition to the current 'revisionist' debate, and a unique attempt to re-conceptualize our knowledge of forager-traders within the surrounding context of complex polities, populations and economies in South and Southeast Asia.

In both South and Southeast Asia, many upland groups make a living - in whole or part - through gathering and hunting, producing not only subsistence goods but commodities destined for regional and even world markets. These forager-traders have had an ambiguous position in ethnographic analysis, variously represented as relics, degraded hunter-gatherers, or recent upstarts. Forager-Traders in South and Southeast Asia adopts a multidisciplinary approach to these groups, presenting a series of comparative case-studies that analyse the long-term histories of hunting, gathering, trading, power relations, and regional social and biological interactions in this critical region. This book is a fascinating and important addition to the current 'revisionist' debate, and a unique attempt to re-conceptualize our knowledge of forager-traders within the surrounding context of complex polities, populations and economies in South and Southeast Asia.

This multi-author, edited volume includes chapters which deal with both basic and highly complex applications. Glow discharge devices are now being used in very novel ways for the analysis of liquids

The Early Settlement of North America is an examination of the first recognisable culture in the New World: the Clovis complex. Gary Haynes begins his analysis with a discussion of the archaeology of Clovis fluted points in North America and a review of the history of the research on the topic. He presents and evaluates all the evidence that is now available on the artefacts, the human populations of the time, and the environment, and he examines the adaptation of the early human settlers in North America to the simultaneous disappearance of the mammoths and mastodonts. Haynes offers a compelling re-appraisal of our current state of knowledge about the peopling of this continent and provides a significant new contribution to the debate with his own integrated theory of Clovis, which incorporates vital new biological, ecological, behavioural and archaeological data.

This book explains the financial appraisal of capital budgeting projects. The coverage extends from the development of basic concepts, principles and techniques to the application of them in increasingly complex and real-world situations. Identification and estimation (including forecasting) of cash flows, project appraisal formulae, and the application of net present value (NPV), internal rate of return (IRR) and other project evaluation criteria are illustrated with a variety of calculation examples. Risk analysis is extensively covered by the use of risk adjusted discount rate, certainty equivalent, sensitivity, simulation and Monte Carlo analysis. The NPV and IRR models are further applied to forestry, property and international investments. Resource constraints are introduced to the capital budgeting decisions with a variety of worked examples using linear programming technique. All calculations are extensively supported by Excel workbooks on the Web, and each chapter is well revi

This book explains the financial appraisal of capital budgeting projects. The coverage extends from the development of basic concepts, principles and techniques to the application of them in increasingly complex and real-world situations. Identification and estimation (including forecasting) of cash flows, project appraisal formulae, and the application of net present value (NPV), internal rate of return (IRR) and other project evaluation criteria are illustrated with a variety of calculation examples. Risk analysis is extensively covered by the use of risk adjusted discount rate, certainty equivalent, sensitivity, simulation and Monte Carlo analysis. The NPV and IRR models are further applied to forestry, property and international investments. Resource constraints are introduced to the capital budgeting decisions with a variety of worked examples using linear programming technique. All calculations are extensively supported by Excel workbooks on the Web, and each chapter is well revi

Intended for general readers and for students and scholars of poetry, Poetry as Survival is a complex and lucid analysis of the powerful role poetry can play in confronting, surviving, and transcendin

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.

An introductory 2002 textbook, Process Control covers the most essential aspects of process control suitable for a two-semester course. While classical techniques are discussed, also included is a discussion of state space modeling and control, a modern control topic lacking in most introductory texts. MATLAB, a popular engineering software package, is employed as a powerful yet approachable computational tool. Text examples demonstrate how root locus, Bode plots, and time domain simulations can be integrated to tackle a control problem. Classical control and state space designs are compared. Despite the reliance on MATLAB, theory and analysis of process control are well-presented, creating a well-rounded pedagogical text. Each chapter concludes with problem sets, to which hints or solutions are provided. A web site provides excellent support in the way of MATLAB outputs of text examples and MATLAB sessions, references, and supplementary notes. Students and professionals will find it a

Paul Downes combines literary criticism and political history in order to explore responses to the rejection of monarchism in the American revolutionary era. Downes' analysis considers the Declaration of Independence, Franklin's autobiography, Crèvecoeur's Letters from an American Farmer and the works of America's first significant literary figures including Charles Brockden Brown, Washington Irving and James Fenimore Cooper. He claims that the post-revolutionary American state and the new democratic citizen inherited some of the complex features of absolute monarchy, even as they were strenuously trying to assert their difference from it. In chapters that consider the revolution's mock execution of George III, the Elizabethan notion of the 'king's two bodies' and the political significance of the secret ballot, Downes points to the traces of monarchical political structures within the practices and discourses of early American democracy. This is an ambitious study of an important them

Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in this volume, first published in 2002, examine and explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations, such as groups of transformations, Hamiltonian structure and stability. This book and its

Numerical weather prediction is a problem of mathematical physics. The complex flows in the atmosphere and oceans are believed to be accurately modelled by the Navier-Stokes equations of fluid mechanics together with classical thermodynamics. However, due to the enormous complexity of these equations, meteorologists and oceanographers have constructed approximate models of the dominant, large-scale flows that control the evolution of weather systems and that describe, for example, the dynamics of cyclones and ocean eddies. The simplifications often result in models that are amenable to solution both analytically and numerically. The lectures in these volumes examine and explain why such simplifications to Newton's second law produce accurate, useful models and, just as the meteorologist seeks patterns in the weather, mathematicians seek structure in the governing equations, such as groups of transformations, Hamiltonian structure and stability. This 2002 book and its companion show how

This book uses comparative island archaeology to reinterpret a vital phase in early Aegean history. Cyprian Broodbank presents the first modern analysis of Cycladic culture, tracing the development of Neolithic and Early Bronze Age societies in these islands from first colonisation through to incorporation, three millennia later, in the world system of the Minoan palaces and the wider Near East. The archaeology of this region is rich and well documented, and allows Dr Broodbank to reformulate early Cycladic history and to deploy detailed examples that challenge established approaches to island archaeology. He shows that islanders can actively define their cultural space and environments, and that their communities are linked by complex relations to the non-insular world. This book provides fresh perspectives and challenges for island archaeologists and Mediterranean specialists.

This book is an innovative historical study of piracy in the Graeco-Roman world from the Archaic period to Late Antiquity. It explores the conditions which allowed piracy to flourish in the ancient Mediterranean, especially the close relationship between warfare and piracy, and examines the impact which pirates had upon ancient society. Particular attention is paid to the numerous states and rulers who claimed to be actively suppressing piracy for the good of all. In many cases these claims turn out to be highly exaggerated ones, intended to enhance the prestige of those on whose behalf they were made. Surprisingly, in view of the prominence of pirates in many works of classical literature, this book is the first to offer detailed analysis of the portrayal of piracy by ancient writers, including Homer, Cicero and the ancient novels, taking account of the political, social and literary contexts which shaped their accounts.

`I would encourage undergraduates students to read it, for it does summarise well a classical Marxist analysis of social policy and welfare' - Social PolicyThe anti-capitalist movement is increasingly

This book examines the selected writings of John of Wales, a thirteenth-century Franciscan scholar. Though overshadowed historically by men like Thomas Aquinas and Bonaventure, John contributed significantly to the preaching explosion of the later Middle Ages, devoting his scholastic energies to the production of encyclopedic preaching aids for the growing number of the devout and learned emerging from the new universities. Through a detailed analysis of his world view, the author establishes John's strong interest in politics and contemporary social issues and helps to explain why his writings appealed to young preachers and the popular imagination. John's historic popularity and literary influence are also fully explored. His works seem to have been an important source of classical material for European literary texts of the period, and therefore, in addition to historians and theologians, this unprecedented book will appeal to those interested in the survival and transmission of Gre

A Community Transformed traces the restructuring of Havering between 1500 and 1620 through detailed analysis of demographic patterns, the economy, religion, social and cultural forms, and local administration and law. McIntosh's study, the most complex and richly drawn portrait of any English community in this period, goes beyond local history in illuminating the transition from medieval to early modem life. A Community Transformed is the sequel to Professor McIntosh's acclaimed work Autonomy and Community: The Royal Manor of Havering, 1200–1500, published by Cambridge in 1986.

In this innovative study of Apollonius Rhodius' influential epic poem from the Hellenistic period, the author aims both to offer fresh insights into popular critical issues and consider it from new perspectives. The principal, unifying concern is the poet's measured and complex use of language and the manipulation of meaning generated therewith. The first part presents a detailed analysis of the poem's constantly shifting commentary on the voyage of the Argo as articulated throughout all four books of the poem, and the conflicting strategies according to which the epic journey of the Argonauts is presented for interpretation. The second part of the book identifies hitherto unexplored descriptive, thematic and image-related rhythms within the narrative, which serve both to bind the poem together and to generate further complexities of meaning. Accessible to non-specialists, with all Greek quotations accompanied by an English translation.

The festivals of the Athenian sacred calendar constitute a vital key to classical Greek culture and religion. Erika Simon sets out here to explicate those complex and often obscure festivals. By car

The mass entry of women into the labour market, the decline of the male breadwinner norm and the rise of the dual-earner family have all profoundly transformed the societies of the Western industrialised world. This book argues that childcare has become increasingly 'defamilised' or collectivised as mothers have joined the labour market, causing significant impact on welfare policies. As a result, the complex relationship between family change and policy reform calls for a rethinking of the relationship between the welfare state, labour markets and working parents. Rather than concentrating on the changing models of motherhood, Leira advocates the need to consider the effects of the gendered division of work and welfare on fathers' opportunities to be supported as carers for children. Her analysis incorporates important new empirical data from Finland, Denmark, Norway and Sweden.

Science, Vine and Wine in Modern France examines the role of science in the civilization of wine in modern France. Viticulture, the science of the vine itself, and oenology, the science of winemaking, are its subjects. Together they can boast of at least two major triumphs: the creation of the post-phylloxera vines that repopulated late-nineteenth-century vineyards devastated by the disease; and the understanding of the complex structure of wine that eventually resulted in the development of the widespread wine models of Bordeaux, Burgundy, and Champagne. This is the first analysis of the scientific battle over the best way to save the French vineyards and the first account of the growth of oenological science in France since Chaptal and Pasteur.

This book is a comprehensive analysis of Chinese masculinity. While there is a vast Eurocentric scholarship on gender and sexuality, there has been little work addressing these issues within the Chinese context. Kam Louie uses the concepts of wen (cultural attainment) and wu (martial valour) to explain attitudes to masculinity. This revises most Western analyses of Asian masculinity that rely on the yin-yang binary. Examining classical and contemporary Chinese literature and film, the book also looks at the Chinese diaspora to consider Chinese masculinity within and outside China. Its use of a largely indigenous framework to analyse Chinese masculinity makes it an exciting addition to this burgeoning field.

This graduate-level textbook on thermal physics covers classical thermodynamics, statistical mechanics and its applications. It describes theoretical methods to calculate thermodynamic properties, such as the equation of state, specific heat, Helmholtz free energy, magnetic susceptibility and phase transitions of macroscopic systems. In addition to the more standard material covered, this book also describes powerful techniques, which are not found elsewhere, to determine the correlation effects on which the thermodynamic properties are based. Particular emphasis is given to the cluster variation method and a novel formulation is developed for its expression in terms of correlation functions. Although a basic knowledge of quantum mechanics is required, the mathematical formulations are accessible and entirely self-contained. The book will therefore constitute an ideal companion text for graduate students studying courses on the theory of complex analysis, classical mechanics, classical

This graduate-level textbook on thermal physics covers classical thermodynamics, statistical mechanics and its applications. It describes theoretical methods to calculate thermodynamic properties, such as the equation of state, specific heat, Helmholtz free energy, magnetic susceptibility and phase transitions of macroscopic systems. In addition to the more standard material covered, this book also describes powerful techniques, which are not found elsewhere, to determine the correlation effects on which the thermodynamic properties are based. Particular emphasis is given to the cluster variation method and a novel formulation is developed for its expression in terms of correlation functions. Although a basic knowledge of quantum mechanics is required, the mathematical formulations are accessible and entirely self-contained. The book will therefore constitute an ideal companion text for graduate students studying courses on the theory of complex analysis, classical mechanics, classical

In recent years it has become apparent that mentally ill people are at increased risk of committing crimes of violence. Most writing and research about crime and mental disorder has focused necessarily on the immediate problems which confront clinicians and law makers - assessing and managing the future risk of violence. In this important new book the authors attempt to step back from these immediate preoccupations and describe the criminality of the mentally ill and try to identify the complex chain of factors which cause it. As part of their analysis they examine a unique cohort composed of 15,117 persons born in Stockholm who were studied from pregnancy to the age of thirty. While they conclude that we still do not understand exactly how and why persons with major mental disorders commit crimes, their findings make a valuable contribution to ongoing debates on mental health and criminal justice policy and practice.

This stunning book represents the most comprehensive analysis to date of the complex relationships between black political thought and black political identity and behavior. Ranging from Frederick Dou