Mathematics of Discrete Structures for Computer Science

Eneas Sweetland (E. S.) Dallas (1828–1879) was a journalist who worked for The Times among other publications and whose interest in psychology and love of poetry led to his writing the two-volume – though he originally intended four – The Gay Science, published in 1866. The work takes its title from an expression used by Provençal troubadours to describe the art of composing poetry, and the volumes are concerned with the unclear and often shifting boundaries between art and science and whether they can be reconciled. Volume 2 considers this question in relation to pleasure: what it is, the historical and philosophical understanding of this emotion and sensation, whether it should be pursued, and its relation to artistic production. The remainder of the book looks at the issue of the ethics of art and the nature of artistic enterprise, as well as the changing stance of the viewer.

Systematic Conservation Planning provides a clear, comprehensive guide to the process of deriving a conservation area network for regions, which will best represent the biodiversity of regions in the most cost-effective way. The measurement of biodiversity, design of field sampling strategies, alongside different data treatment methods are detailed helping to provide a conceptual framework for identifying conservation area networks, underpinned by the concept of complementarity. Setting conservation targets and then multi-criteria analyses, using complementarity but bringing in other criteria reflecting competing uses of land or water, to show how conservation area networks can achieve conservation targets in ways that also allow for the production of food, fiber and shelter are also discussed. Providing a clear procedure for identifying conservation priority areas underpinned by cutting edge science, this book will be of interest to graduate students, academics, planners and decision

Systematic Conservation Planning provides a clear, comprehensive guide to the process of deriving a conservation area network for regions, which will best represent the biodiversity of regions in the most cost-effective way. The measurement of biodiversity, design of field sampling strategies, alongside different data treatment methods are detailed helping to provide a conceptual framework for identifying conservation area networks, underpinned by the concept of complementarity. Setting conservation targets and then multi-criteria analyses, using complementarity but bringing in other criteria reflecting competing uses of land or water, to show how conservation area networks can achieve conservation targets in ways that also allow for the production of food, fiber and shelter are also discussed. Providing a clear procedure for identifying conservation priority areas underpinned by cutting edge science, this book will be of interest to graduate students, academics, planners and decision

After colonization, indigenous people faced an extractive property rights regime for both their land and knowledge. This book outlines that regime, and how the symbolic function of international intellectual property continues today to assist states to enclose indigenous peoples' knowledge. Drawing on more than 200 interviews, Peter Drahos examines the response of indigenous people to the colonizer's non-developmental property rights. The case studies reveal how they have adapted to the state's extractive order through a process of regulatory bricolage. In order to create a new developmental future for themselves, indigenous developmental networks have been forged - high trust networks that include partnerships with science. Intellectual Property, Indigenous People and their Knowledge argues for a developmental intellectual property order for indigenous people based on a combination of simple rules, principles and a process of regulatory convening.

After colonization, indigenous people faced an extractive property rights regime for both their land and knowledge. This book outlines that regime, and how the symbolic function of international intellectual property continues today to assist states to enclose indigenous peoples' knowledge. Drawing on more than 200 interviews, Peter Drahos examines the response of indigenous people to the colonizer's non-developmental property rights. The case studies reveal how they have adapted to the state's extractive order through a process of regulatory bricolage. In order to create a new developmental future for themselves, indigenous developmental networks have been forged - high trust networks that include partnerships with science. Intellectual Property, Indigenous People and their Knowledge argues for a developmental intellectual property order for indigenous people based on a combination of simple rules, principles and a process of regulatory convening.

Each volume of this series of companions to major philosophers contains specially commissioned essays by an international team of scholars, together with a substantial bibliography, and will serve as a reference work for students and nonspecialists. One aim of the series is to dispel the intimidation such readers often feel when faced with the work of a difficult and challenging thinker. Blaise Pascal (1623–62) occupies a position of pivotal importance in many domains: philosophy, mathematics, physics, religious polemics and apologetics. In this volume a team of leading scholars presents the full range of Pascal's achievement and surveys the intellectual background of his thought and the reception of his work. New readers and nonspecialists will find this the most convenient and accessible guide to Pascal currently available. Advanced students and specialists will find a conspectus of recent developments in the interpretation of Pascal.

Each volume of this series of companions to major philosophers contains specially commissioned essays by an international team of scholars, together with a substantial bibliography, and will serve as a reference work for students and nonspecialists. One aim of the series is to dispel the intimidation such readers often feel when faced with the work of a difficult and challenging thinker. Blaise Pascal (1623–62) occupies a position of pivotal importance in many domains: philosophy, mathematics, physics, religious polemics and apologetics. In this volume a team of leading scholars presents the full range of Pascal's achievement and surveys the intellectual background of his thought and the reception of his work. New readers and nonspecialists will find this the most convenient and accessible guide to Pascal currently available. Advanced students and specialists will find a conspectus of recent developments in the interpretation of Pascal.

Our world and the people within it are increasingly interpreted and classified by automated systems. At the same time, automated classifications influence what happens in the physical world. These entanglements change what it means to interact with governance, and shift what elements of our identity are knowable and meaningful. In this cyber-physical world, or 'world state', what is the role for law? Specifically, how should law address the claim that computational systems know us better than we know ourselves? Monitoring Laws traces the history of government profiling from the invention of photography through to emerging applications of computer vision for personality and behavioral analysis. It asks what dimensions of profiling have provoked legal intervention in the past, and what is different about contemporary profiling that requires updating our legal tools. This work should be read by anyone interested in how computation is changing society and governance, and what it is about p

Our world and the people within it are increasingly interpreted and classified by automated systems. At the same time, automated classifications influence what happens in the physical world. These entanglements change what it means to interact with governance, and shift what elements of our identity are knowable and meaningful. In this cyber-physical world, or 'world state', what is the role for law? Specifically, how should law address the claim that computational systems know us better than we know ourselves? Monitoring Laws traces the history of government profiling from the invention of photography through to emerging applications of computer vision for personality and behavioral analysis. It asks what dimensions of profiling have provoked legal intervention in the past, and what is different about contemporary profiling that requires updating our legal tools. This work should be read by anyone interested in how computation is changing society and governance, and what it is about p

Modern BASIC programmers will be delighted to learn that the routines and demonstration programs from the highly acclaimed reference book Numerical Recipes: The Art of Scientific Computing are now available in their language of choice. Numerical Recipes, by William H. Press, Brian P. Flannery, Saul A. Teukolsky and William T. Vetterling, is a computing and numerical analysis. It is accompanied by the Numerical Recipes Example Book containing programs that demonstrate the subroutines. Julien C. Sprott has translated all of the recipes and programs, over 350 in all, into BASIC. This book brings the routines and programs together in a single source that includes computer code and code captions from both the book and example book and the commentary from the example book. It is recommended for use with one of the main Numerical Recipes books. The author employs Microsoft QuickBasic 4.5, but the recipes are easily adapted for other modern forms of BASIC. The programs contained in this book a

Political economy has been an essential realm of inquiry and has attracted myriad intellectual adherents for much of the period of modern scholarship. The discipline's formal split into the distinct studies of political science and economics in the nineteenth-century, while advantageous for certain scientific developments, has biased the way economists and political scientists think about many issues, and has placed artificial constraints on the study of many important social issues. This volume calls for a reaffirmation of the importance of the unified study of political economy, and explores the frontiers of the interaction between politics and markets. This volume brings together intellectual leaders of various areas, drawing upon state-of-the-art theoretical and empirical analysis from each of the underlying disciplines. Each chapter, while beginning with a survey of existing work, focuses on profitable lines of inquiry for future developments. Particular attention is devoted to fi

Political economy has been an essential realm of inquiry and has attracted myriad intellectual adherents for much of the period of modern scholarship. The discipline's formal split into the distinct studies of political science and economics in the nineteenth-century, while advantageous for certain scientific developments, has biased the way economists and political scientists think about many issues, and has placed artificial constraints on the study of many important social issues. This volume calls for a reaffirmation of the importance of the unified study of political economy, and explores the frontiers of the interaction between politics and markets. This volume brings together intellectual leaders of various areas, drawing upon state-of-the-art theoretical and empirical analysis from each of the underlying disciplines. Each chapter, while beginning with a survey of existing work, focuses on profitable lines of inquiry for future developments. Particular attention is devoted to fi

The biological functions debate is a perennial topic in the philosophy of science. In the first full-length account of the nature and importance of biological functions for many years, Justin Garson presents an innovative new theory, the 'generalized selected effects theory of function', which seamlessly integrates evolutionary and developmental perspectives on biological functions. He develops the implications of the theory for contemporary debates in the philosophy of mind, the philosophy of medicine and psychiatry, the philosophy of biology, and biology itself, addressing issues ranging from the nature of mental representation to our understanding of the function of the human genome. Clear, jargon-free, and engagingly written, with accessible examples and explanatory diagrams to illustrate the discussion, his book will be highly valuable for readers across philosophical and scientific disciplines.

The biological functions debate is a perennial topic in the philosophy of science. In the first full-length account of the nature and importance of biological functions for many years, Justin Garson presents an innovative new theory, the 'generalized selected effects theory of function', which seamlessly integrates evolutionary and developmental perspectives on biological functions. He develops the implications of the theory for contemporary debates in the philosophy of mind, the philosophy of medicine and psychiatry, the philosophy of biology, and biology itself, addressing issues ranging from the nature of mental representation to our understanding of the function of the human genome. Clear, jargon-free, and engagingly written, with accessible examples and explanatory diagrams to illustrate the discussion, his book will be highly valuable for readers across philosophical and scientific disciplines.

Why did Einstein tirelessly study unified field theory for more than thirty years? In this book, the author argues that Einstein believed he could find a unified theory of all of nature's forces by repeating the methods he thought he had used when he formulated general relativity. The book discusses Einstein's route to the general theory of relativity, focusing on the philosophical lessons that he learnt. It then addresses his quest for a unified theory for electromagnetism and gravity, discussing in detail his efforts with Kaluza-Klein and, surprisingly, the theory of spinors. From these perspectives, Einstein's critical stance towards the quantum theory comes to stand in a new light. This book will be of interest to physicists, historians and philosophers of science.

This book presents an easy-to-read discussion of domain decomposition algorithms, their implementation and analysis. The relationship between domain decomposition and multigrid methods is carefully explained at an elementary level, and discussions of the implementation of domain decomposition methods on massively parallel super computers are also included. All algorithms are fully described and explained, and a mathematical framework for the analysis and complete understanding of the methods is also carefully developed. In addition, numerous numerical examples are included to demonstrate the behaviour of this important class of numerical methods. This book is ideal for graduate students about to embark on a career in computational science. It will also be a valuable resource for all those interested in parallel computing and numerical computational methods.

Irrigation has been used for thousands of years to maximize the performance, efficiency and profitability of crops and it is a science that is constantly evolving. This potential for improved crop yields has never been more important as population levels and demand for food continue to grow. Recognising the need for a coherent and accessible review of international irrigation research, this book examines the factors influencing water productivity in individual crops. It focuses on nine key plantation/industrial crops on which millions of people in the tropics and subtropics depend for their livelihoods (banana, cocoa, coconut, coffee, oil palm, rubber, sisal, sugar cane and tea). Linking crop physiology, agronomy and irrigation practices, this is a valuable resource for planners, irrigation engineers, agronomists and producers concerned with the international need to improve water productivity in agriculture in the face of increased pressure on water resources.

This completely new edition of The Cambridge Companion to Chomsky surveys Chomsky's contributions to the science of language, to socioeconomic-political analysis and criticism, and to the study of the human mind. The first section focuses on the aims of Chomsky's recent 'biological-minimalist' turn in the science of language, and shows how Chomsky's view of the nature of language and its introduction to the human species has recently developed. The second section focuses on Chomsky's view of the mind and its parts - and how to study them. Finally, the third section examines some of Chomsky's many contributions to socio-political history and critique. This new edition examines Chomsky's views on a wide range of issues, from his views of the lexicon, language's evolution, and the study of mind to the status of capitalism and the Palestine-Israel conflict. It will be essential reading for anyone with an interest in Chomsky's ideas.

This completely new edition of The Cambridge Companion to Chomsky surveys Chomsky's contributions to the science of language, to socioeconomic-political analysis and criticism, and to the study of the human mind. The first section focuses on the aims of Chomsky's recent 'biological-minimalist' turn in the science of language, and shows how Chomsky's view of the nature of language and its introduction to the human species has recently developed. The second section focuses on Chomsky's view of the mind and its parts - and how to study them. Finally, the third section examines some of Chomsky's many contributions to socio-political history and critique. This new edition examines Chomsky's views on a wide range of issues, from his views of the lexicon, language's evolution, and the study of mind to the status of capitalism and the Palestine-Israel conflict. It will be essential reading for anyone with an interest in Chomsky's ideas.

Packed with incredible photos, tons of fun facts, crafts, activities, exclusive National Geographic Explorer interviews, and fascinating features about animals, science, nature, and more! Kids who want to know everything about everything need the National Geographic Kids Almanac! The latest edition of this internationally bestselling almanac features an all-new section on top scientific breakthroughs, including an exclusive sneak peek for kids of what some scientists are calling one of the greatest discoveries of the 21st century! Practical reference material, including fast facts and maps of every country, has been fully updated. Homework help on key topics is sprinkled throughout the book. This is a must-have book for curious kids!

This comprehensive volume authoritatively describes our understanding of the complex and fascinating jovian system. Written by a team of world experts, it brings together every aspect of the giant planetary system, from the deep interior of Jupiter to the distant tiny satellites and swarms of escaping gas and dust. Chapters present a synthesis of experimental data from the Voyager, Galileo and Cassini missions, from telescopes on the ground and in space, and from theoretical models on the different components that make up the Jupiter system. This book is a valuable introduction for graduate students and an indispensable resource for all researchers in planetary science.

For the third edition of this successful undergraduate text, the author has made a number of changes to improve the presentation and clarify some of the arguments, and has also brought several of the applications up to date. The new material includes an elementary, descriptive introduction to the ideas behind the new science of chaos. The overall objectives of the book are unchanged: to lead the student to a thorough understanding of the basic concepts of vibrations and waves, to show how these concepts unify a wide variety of familiar physics, and to open doors to advanced topics which they illuminate. Each section of the book contains a brief summary of its salient contents. There are approximately 180 problems to which all numerical answers are provided, together with hints for their solution. This book is designed both for use as a text for an initial undergraduate course on vibrations and waves, and for a reference at later stages when more advanced topics or applications are met.

Nonlinear waves are pervasive in nature, but are often elusive when they are modelled and analysed. This book develops a natural approach to the problem based on phase modulation. It is both an elaboration of the use of phase modulation for the study of nonlinear waves and a compendium of background results in mathematics, such as Hamiltonian systems, symplectic geometry, conservation laws, Noether theory, Lagrangian field theory and analysis, all of which combine to generate the new theory of phase modulation. While the build-up of theory can be intensive, the resulting emergent partial differential equations are relatively simple. A key outcome of the theory is that the coefficients in the emergent modulation equations are universal and easy to calculate. This book gives several examples of the implications in the theory of fluid mechanics and points to a wide range of new applications.

Originally published during the early part of the twentieth century, the Cambridge Manuals of Science and Literature were designed to provide concise introductions to a broad range of topics. They were written by experts for the general reader and combined a comprehensive approach to knowledge with an emphasis on accessibility. Brewing by A. Chaston Chapman was first published in 1912. The volume presents an account of the methods and scientific principles underlying the process of brewing.

Originally published during the early part of the twentieth century, the Cambridge Manuals of Science and Literature were designed to provide concise introductions to a broad range of topics. They were written by experts for the general reader and combined a comprehensive approach to knowledge with an emphasis on accessibility. This 1913 volume by Vernon Lee explores the philosophical significance of the concepts of beauty and aesthetic preference, written in terms intended to be intelligible to the lay reader.

This book is an ambitious attempt to develop a cognitive approach to religion. Focusing particularly on ritual action, it borrows analytical methods from linguistics and other cognitive sciences. The authors, a philosopher of science and a scholar of comparative religion, provide a lucid critical review of established approaches to religion, and make a strong plea for the combination of interpretation and explanation. Often represented as competitive approaches, they are rather, complementary, equally vital to the study of symbolic systems.

Labour internationalism is often viewed as impossible or inevitable, depending upon political perspective. O'Brien argues for a more nuanced, diverse understanding of labour internationalism, identifying six different 'faces', shaped by the national or global orientation of particular groups in the fields of production, regulation and ideas. Providing a general view of labour's global activity and a case study of the Southern Initiative on Globalisation and Trade Union Rights (SIGTUR), the book illustrates how the productive and regulatory structures of the global economy are pushing labour internationalism in particular directions. It details how leftist unions in Argentina, Australia, Brazil, India, the Philippines, South Africa, and South Korea have tried to bridge their differences and launch collective actions. Drawing upon twenty years of participant observation, O'Brien reveals a specific Global South approach based upon anti-imperialism, anti-capitalism and empathetic internati

This is the first musicological study entirely devoted to a comprehensive analysis of musical Holocaust representations in the Western art music tradition. Through a series of chronological case studies grounded in primary source analysis, Amy Lynn Wlodarski analyses the compositional processes and conceptual frameworks that provide key pieces with their unique representational structures and critical receptions. The study examines works composed in a variety of musical languages - from Arnold Schoenberg's dodecaphonic A Survivor from Warsaw to Steve Reich's minimalist Different Trains - and situates them within interdisciplinary discussions about the aesthetics and ethics of artistic witness. At the heart of this book are important questions about how music interacts with language and history; memory and trauma; and politics and mourning. Wlodarski's detailed musical and cultural analyses provide new models for the assessment of the genre, illustrating the benefits and consequences of

This is the first musicological study entirely devoted to a comprehensive analysis of musical Holocaust representations in the Western art music tradition. Through a series of chronological case studies grounded in primary source analysis, Amy Lynn Wlodarski analyses the compositional processes and conceptual frameworks that provide key pieces with their unique representational structures and critical receptions. The study examines works composed in a variety of musical languages - from Arnold Schoenberg's dodecaphonic A Survivor from Warsaw to Steve Reich's minimalist Different Trains - and situates them within interdisciplinary discussions about the aesthetics and ethics of artistic witness. At the heart of this book are important questions about how music interacts with language and history; memory and trauma; and politics and mourning. Wlodarski's detailed musical and cultural analyses provide new models for the assessment of the genre, illustrating the benefits and consequences of

Russian historian and jurist Sir Paul Vinogradoff (1854–1925) maintained throughout his life a serious scholarly interest in the history of Great Britain, his adopted country. Elected to a professorship at Oxford in 1903, to the British Academy in 1905, and knighted for services to the realm in increasing Anglo-Russian understanding during the war (1917), Vinogradoff demonstrates in this book of 1892 both his interest in feudal England and his historiographic approach, which relied on detailed research using primary sources to examine individuals, communities, and social structures. Divided into two essays - 'The Peasantry of the Feudal Age' and 'The Manor and the Village Community' - the work used England's extensive feudal records to draw a general character of the period. Villainage will interest students of English or European mediaeval history and scholars of mediaeval legal history and of developments in nineteenth-century historiography.

This book was first published in 1992. Aboriginal people in Australia's Gulf Country had been dealing with Whites for more than one hundred years. Whitefella Comin' depicts life at Doomadgee, an Aboriginal settlement administered by Brethren missionaries from the early 1930s until 1983. Dr Trigger's portrayal of life at Doomadgee was the first to be published by an anthropologist about such a settlement in Queensland. Through detailed historical and ethnographic study, the author seeks understanding of Aboriginal responses to the intrusions of Australian society. He examines coercion and violence on the frontier, the incorporation of Aboriginal people into the pastoral industry and their reactions to both the authoritarianism and benevolent paternalism of Christian missionaries. The influence of government policies and administrative practices is examined throughout the book. In addressing the structures and processes of power relations between Aborigines and Whites, the author develop

Combining developments in the field of social movement theory regarding framing, collective identity, and emotions with insights from humourology, the seventeen essays in this book show the power of humour in framing social and political protest across a wide range of historical and spatial settings. The authors explore under what conditions laughter can serve the cause of the protesters; how humour has strengthened social protest; to what degree humour has been an effective tool for contentious social movements; and how humour can further the development of the collective identity of a social movement. The essays deal with a broad variety of historical and spatial settings, in quite different political structures, from open democratic societies to harsh repressive regimes, from the Zapatistas in Mexico to Vietnamese garment workers, from sixteenth-century Augsburg to Madrid and Stockholm in the 1990s.

Aircraft are mainly bought by two groups of buyers:1. Airlines for their own use2. Operating lessors for onward leasing to airlinesBoth groups of buyers require substantial external funding, both debt and equity, to accommodate these purchases.Historically five key sources have funded the aviation industry:1. bank debt (secured and unsecured)2. export credit agency guaranteed debt (secured)3.capital markets (secured and unsecured bonds; equity and debt solutions)4. internal cash flow generation5. tax based leasing products This is the leading text providing guidance on all the funding options available, the best way to secure funding and how to ensure that robust legal structures framing the commercial deal are in place.The book is divided into four core sections:Part A: Market Context which sets the scene giving the user market context and an overview of aircraft financingPart B: Transaction structuring which looks at the credit, the asset, the legal structuring and tax driversPart C:

How are different cultures to be described and compared? This book provides a clear and concise discussion of the theoretical issues involved in ethnographic description and comparative study. Taking up the classic problems in the study of of social organisation, Professor Goodenough describes the major issues in the cross-cultural study of kinship and the family, revealing the kinds of constants, both formal and functional, on which such study must be based. The result is new definitions of marriage, family and parenthood for use in cross-cultural analysis and a greater understanding of this form of analysis itself. The statement on the interdependence of description and comparison in cultural anthropology and its implications for a science of culture, provides fresh insights into cross-cultural analysis for both the theoretical and the practical anthropologist.

Why do international peacebuilding organizations sometimes succeed and sometimes fail, even within the same country? Bridging the gaps between the peacekeeping, peacebuilding, and global governance scholarship, this book argues that international peacebuilding organizations repeatedly fail because they are accountable to global actors, not to local institutions or people. International peacebuilding organizations can succeed only when country-based staff bypass existing accountability structures and empower local stakeholders to hold their global organizations accountable for achieving local-level peacebuilding outcomes. In other words, the innovative, if seemingly wayward, actions of individual country-office staff are necessary to improve peacebuilding performance. Using in-depth studies of organizations operating in Burundi over a fifteen-year period, combined with fieldwork in the Democratic Republic of the Congo, Nepal, South Sudan, and Sudan, this book will be of interest to scho

This slim volume contains four little-known texts by Pierre Bourdieu on the question of reflexivity, which was a key theme in his work.For Bourdieu, reflexivity was not an exercise in introspection but rather a way of applying the tools of sociology to itself. The aim is to make explicit and control the effects of the presuppositions, standpoints and dispositions that the researcher brings to the conduct of social science research. Bourdieu advocates an attitude of epistemological vigilance that helps to uncover the invisible effects of the social determinants that weigh on the researcher, effects that are difficult to perceive by the mere desire to be lucid. Questioning the social position and presuppositions of the researcher at every opportunity loosens the hold of scholastic and other biases on the outcome of research.By clarifying and illustrating the principles of reflexivity, the four texts in this volume lay the groundwork for the kind of reflexive social science that Bourdieu

In recent years what has come to be called the 'New Mechanism' has emerged as a framework for thinking about the philosophical assumptions underlying many areas of science, especially in sciences such as biology, neuroscience, and psychology. This book offers a fresh look at the role of mechanisms, by situating novel analyses of central philosophical issues related to mechanisms within a rich historical perspective of the concept of mechanism as well as detailed case studies of biological mechanisms (such as apoptosis). It develops a new position, Methodological Mechanism, according to which mechanisms are to be viewed as causal pathways that are theoretically described and are underpinned by networks of difference-making relations. In contrast to metaphysically inflated accounts, this study characterises mechanism as a concept-in-use in science that is deflationary and metaphysically neutral, but still methodologically useful and central to scientific practice.

This book is the first comprehensive treatment of the 'small politics' of rural communities in the Late Roman world. It places the diverse fates of those communities within a generalized model for exploring rural social systems. Fundamentally, social interactions in rural contexts in the period revolved around the desire of individual households to insure themselves against catastrophic subsistence failure and the need of the communities in which they lived to manage the attendant social tensions, inequalities and conflicts. A focus upon the politics of reputation in those communities provides a striking contrast to the picture painted by the legislation and the writings of Rome's literate elite: when viewed from the point of view of the peasantry, issues such as the Christianization of the countryside, the emergence of new types of patronage relations, and the effects of the new system of taxation upon rural social structures take on a different aspect.

This book is the first comprehensive treatment of the 'small politics' of rural communities in the Late Roman world. It places the diverse fates of those communities within a generalized model for exploring rural social systems. Fundamentally, social interactions in rural contexts in the period revolved around the desire of individual households to insure themselves against catastrophic subsistence failure and the need of the communities in which they lived to manage the attendant social tensions, inequalities and conflicts. A focus upon the politics of reputation in those communities provides a striking contrast to the picture painted by the legislation and the writings of Rome's literate elite: when viewed from the point of view of the peasantry, issues such as the Christianization of the countryside, the emergence of new types of patronage relations, and the effects of the new system of taxation upon rural social structures take on a different aspect.

Devoted to counterparts of classical structures of mathematical analysis in analysis over local fields of positive characteristic, this book treats positive characteristic phenomena from an analytic viewpoint. Building on the basic objects introduced by L. Carlitz - such as the Carlitz factorials, exponential and logarithm, and the orthonormal system of Carlitz polynomials - the author develops a kind of differential and integral calculi. He also expands on the basics of an analytic theory of (Carlitz's) differential equations, providing a useful foundation for the study of various special functions. The differential calculus is extended to a type of Rota's umbral calculus, and an investigation is made of the corresponding rings of differential operators. A theory of quasi-holonomic modules over these rings, having some common features with holonomic modules in the sense of Bernstein, is also connected to some special functions in the spirit of Zeilberger's theory.