Mathematics of Discrete Structures for Computer Science

This book analyses how Calon Gypsies in Brazil have responded to global financial transformations and shifted their economic practices from itinerant trade to moneylending. It also explores their role as ethnic credit providers, offering rare insight into the financial lives of poor and lower-middle-class Brazilians.More broadly, this volume examines how ethnic difference is created in a context where fixed and collective structures supporting ethnic identity are missing. It is important reading for economic anthropologists, cultural economists and all those interested in processes of financialisation from a local perspective, as well as those fascinated by informal economies, how exchange and debt relate to social and political marginality, and how financial credit becomes 'domesticated' by communities.

The Subjects of Art History provides an introduction to the historiography and theory of the history of art. Examining a variety of theoretical approaches, the editors and contributors to this volume provide interpretations of the history and contemporary relevance of such important methodologies as semiotics, phenomenology, feminism, gay and lesbian studies, museology, and computer applications, among other topics. Each essay, specially commissioned for this volume, gives a fresh perspective on the topic by demonstrating how a particular approach can be applied to the understanding and interpretation of specific works of art. This volume will be a timely contribution to the current debate on the theory and practice of art history.

Discover a rigorous treatment of aerogels processing and techniques for characterization with this easy-to-use reference. Presents the basics of aerogel synthesis and gelation to open porous nanostructures, and the processing of wet gels like ambient and supercritical drying leading to aerogels. Describes their essential properties with their measurement techniques and theoretical models used to analyse relations to their nanostructure. Linking the fundamentals and with practical applications, this is a useful toolkit for advanced undergraduates, and graduate students doing research in material and polymer science, physical chemistry, and chemical and environmental engineering.

This book offers a comprehensive treatment of the philosophical system of the seventeenth-century philosopher Pierre Gassendi. Gassendi's importance is widely recognized and is essential for understanding early modern philosophers and scientists such as Locke, Leibniz and Newton. Offering a systematic overview of his contributions, LoLordo situates Gassendi's views within the context of sixteenth- and early seventeenth-century natural philosophy as represented by a variety of intellectual traditions, including scholastic Aristotelianism, Renaissance Neo-Platonism, and the emerging mechanical philosophy. LoLordo's work will be essential reading for historians of early modern philosophy and science.

This book offers a comprehensive treatment of the philosophical system of the seventeenth-century philosopher Pierre Gassendi. Gassendi's importance is widely recognized and is essential for understanding early modern philosophers and scientists such as Locke, Leibniz and Newton. Offering a systematic overview of his contributions, LoLordo situates Gassendi's views within the context of sixteenth- and early seventeenth-century natural philosophy as represented by a variety of intellectual traditions, including scholastic Aristotelianism, Renaissance Neo-Platonism, and the emerging mechanical philosophy. LoLordo's work will be essential reading for historians of early modern philosophy and science.

Planning Australia provides a comprehensive introduction to the major issues and activities that constitute urban and regional planning in Australia today. Incorporating contemporary theory and practice, it contextualises planning in terms of its theoretical, ideological and professional foundations. The book adopts an interdisciplinary approach to the subject, underpinned by the principles of sustainability and social equity. It canvasses the history of the discipline, its relationship to broader governance structures and its legislative framework. Fully revised and updated, this edition features new chapters on healthy planning and transport planning. Written in an accessible style and richly illustrated with instructive case study examples, Planning Australia is an indispensable resource for students, practitioners and decision-makers, as well as anyone interested in the history and future of planning in Australia.

Dr Seuren's study deals with the problem of presenting an adequate model of grammatical description. The model he proposes conforms in its main outlines to the transformational generative grammar established by Chomsky, but differs in important respects. These mainly affect that part of Chomsky's syntactic component known as the 'base', which generates basic or 'deep' structures. In the model of the base proposed here two main constituents are distinguished for every deep structure representation of a sentence, vis-a-vis the operators and the nucleus. The deep structure of a sentence is thus seen to be very similar to the logical structure of a proposition. The arguments given in support of this analysis are based on mainly on considerations of simplicity and semantic adequacy.

Governments typically build and maintain public infrastructure, which they fund through taxes. But in the past twenty-five years, many developing and advanced economies have introduced public-private partnerships (PPPs), which bundle finance, construction, and operation into a long-term contract with a private firm. In this book, the authors provide a summary of what they believe are the main lessons learned from the interplay of experience and the academic literature on PPPs, addressing such key issues as when governments should choose a PPP instead of a conventional provision, how PPPs should be implemented, and the appropriate governance structures for PPPs. The authors argue that the fiscal impact of PPPs is similar to that of conventional provisions and that they do not liberate public funds. The case for PPPs rests on efficiency gains and service improvements, which often prove elusive. Indeed, pervasive renegotiations, faulty fiscal accounting, and poor governance threaten the P

Governments typically build and maintain public infrastructure, which they fund through taxes. But in the past twenty-five years, many developing and advanced economies have introduced public-private partnerships (PPPs), which bundle finance, construction, and operation into a long-term contract with a private firm. In this book, the authors provide a summary of what they believe are the main lessons learned from the interplay of experience and the academic literature on PPPs, addressing such key issues as when governments should choose a PPP instead of a conventional provision, how PPPs should be implemented, and the appropriate governance structures for PPPs. The authors argue that the fiscal impact of PPPs is similar to that of conventional provisions and that they do not liberate public funds. The case for PPPs rests on efficiency gains and service improvements, which often prove elusive. Indeed, pervasive renegotiations, faulty fiscal accounting, and poor governance threaten the P

Once widely regarded as the workers greatest hope for a better world, the ALP today would rather project itself as a responsible manager of Australian capitalism. Labor's Conflict provides an insightful account of the transformations in the Party's policies, performance and structures since its formation. Seasoned political analysts, Tom Bramble and Rick Kuhn offer an incisive appraisal of the Party's successes and failures, betrayals and electoral triumphs in terms of its competing ties with bosses and workers. The early chapters outline diverse approaches to understanding the nature of the Party and then assess the ALP's evolution in response to major social upheavals and events, from the strikes of the 1890s, through two World Wars, the Great Depression, and the post-war boom. The records of the Whitlam, Hawke, Keating, Rudd and Gillard governments are then dissected in detail. The compelling conclusion offers alternatives to the Australian Labor Party, for those interested in progr

The Great Wall of China is renowned as one of the most impressive and intriguing man-made structures on earth. It is also the subject of an awesome mythology, embedded in both learned and popular imaginations, which has grown up and now obscured the historical record. Even the maps which chart the Wall's position offer erroneous accounts of a phenomenon which has never been accurately surveyed. Arthur Waldron reveals that the notion of an ancient and continuously existing Great Wall, one of modern China's national symbols and a legend in the eyes of the West, is in fact a myth. His fascinating account reveals the strategic and political context for the decision to build walls as fortified defences, and explores its profound implications for nomadic and agricultural life under the Ming dynasty. Taking up the insights offered into more recent Chinese politics, the book concludes with a searching investigation of the Wall's new meanings in the myths - departing from that history - fostere

Ready to look under the hood and discover how cars really work?How Cars Work is a colorful, beginner-friendly guide packed with cool diagrams, simple science, and real-world examples—all designed to make learning about cars exciting and easy!Inside, you’ll discover:How engines create power and how transmissions and drivetrains deliver it to the wheelsHow brakes, suspension, steering, and tires work together for safety and controlHow exhaust, electrical, and computer systems keep cars running smoothlyA first look at electric cars, hybrids, and cutting-edge automotive technologiesWhat makes this book awesome:Clear, easy-to-understand language for kids, teens, and curious beginnersFun facts, detailed diagrams, and simple explanations on nearly every pageReal-world examples showing how car systems work in everyday drivingAn engaging way to explore car mechanics, science, and technology without feeling overwhelmedWhether you’re a young car lover, a curious teen, or a total beginner, How Car

Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.

Markov chains are an important idea, related to random walks, which crops up widely in applied stochastic analysis. They are used, for example, in performance modelling and evaluation of computer networks, queuing networks, and telecommunication systems. The main point of the present book is to provide methods, based on the construction of Lyapunov functions, of determining when a Markov chain is ergodic, null recurrent, or transient. These methods can also be extended to the study of questions of stability. Of particular concern are reflected random walks and reflected Brownian motion. The authors provide not only a self-contained introduction to the theory but also details of how the required Lyapunov functions are constructed in various situations.

In the era of 'Algorithmic Medicine, ' the integration of Artificial Intelligence (AI) in healthcare holds immense potential to address critical challenges faced by the industry. Drawing upon the expertise and experience of the authors in medicine, data science, medical informatics, administration, and entrepreneurship, this textbook goes beyond theoretical discussions to outline practical steps for transitioning AI from the experimental phase to real-time clinical integration. Using the Translational Science methodology, each chapter of the book concisely and perspicuously addresses the key issues associated with AI implementation in healthcare. Covering technical, clinical, ethical, regulatory, and legal considerations, the authors present evidence-based solutions and frameworks to overcome these challenges. Engaging case studies and a literature review of peer-reviewed studies and official documents from reputed organizations provide a balanced perspective, bridging the gap between

This ambitious book looks 'behind the model' to reveal how economists use formal models to generate insights into the economy. Drawing on recent work in the philosophy of science and economic methodology, the book presents a novel framework for understanding the logic of economic modeling. It also reveals the ways in which economic models can mislead rather than illuminate. Importantly, the book goes beyond purely negative critique, proposing a concrete program of methodological reform to better equip economists to detect potential mismatches between their models and the targets of their inquiry. Ranging across economics, philosophy, and social science methods, and drawing on a variety of examples, including the recent financial crisis, Behind the Model will be of interest to anyone who has wondered how economics works - and why it sometimes fails so spectacularly.

This ambitious book looks 'behind the model' to reveal how economists use formal models to generate insights into the economy. Drawing on recent work in the philosophy of science and economic methodology, the book presents a novel framework for understanding the logic of economic modeling. It also reveals the ways in which economic models can mislead rather than illuminate. Importantly, the book goes beyond purely negative critique, proposing a concrete program of methodological reform to better equip economists to detect potential mismatches between their models and the targets of their inquiry. Ranging across economics, philosophy, and social science methods, and drawing on a variety of examples, including the recent financial crisis, Behind the Model will be of interest to anyone who has wondered how economics works - and why it sometimes fails so spectacularly.

Australia has always imported overseas technology, largely out of necessity, but has this been exploitative, fostering a relationship of dependence, or used to Australia's advantage? Jan Todd explores this question in the context of nineteenth-century science. In her important study, Todd argues that the technology transfer was far more complex than has been widely acknowledged. She shows that technology systems reflect national characteristics, institutions and priorities, drawing general conclusions about Australian science and technology in an imperial context. Much of the book is devoted to two fascinating case studies: the anthrax vaccination for sheep and the cyanide process of gold extraction, both transferred from Europe. In both cases, considering a range of economic, political and cultural factors, she traces a process of creative adaptation to these technologies.

This book describes how computer programs can generate narratives and how studies of computational narrative can illuminate how humans tell stories. Combining an introduction to relevant concepts related to automatic storytelling with accessible descriptions of well-known computer programs that illustrate how such concepts are employed, the book is aimed at an interdisciplinary audience and assumes little or no background in computer science. The book introduces the most relevant techniques employed over the last 60 years for the development of computer models for narrative generation, including narrative templates, problem-solving, planning, author engagement and reflection, and statistical methods such as deep neural networks, ending with an examination of the societal implications of the development of automatic narrative generator systems.

Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modelers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modeling, and data assimilation.

Written by a group of international experts in their field, this book is a review of Lagrangian observation, analysis and assimilation methods in physical and biological oceanography. This multidisciplinary text presents new results on nonlinear analysis of Lagrangian dynamics, the prediction of particle trajectories, and Lagrangian stochastic models. It includes historical information, up-to-date developments, and speculation on future developments in Lagrangian-based observations, analysis, and modeling of physical and biological systems. Containing contributions from experimentalists, theoreticians, and modelers in the fields of physical oceanography, marine biology, mathematics, and meteorology, this book will be of great interest to researchers and graduate students looking for both practical applications and information on the theory of transport and dispersion in physical systems, biological modeling, and data assimilation.

Emerging from the scientific parameters underpinning REDD+ (including the measurement of carbon stocks, reporting and verification), Law, Tropical Forests and Carbon considers the crucial challenges for global and national governance and the legal rights and interests of indigenous people and local communities, all of which have fundamental implications for development and poverty alleviation. With contributions from leading experts in the fields of law, governance, science, development studies and geography, it sheds light on the complexity of REDD+ and offers perspectives on the extent to which REDD+ agreements can be enforced under international law and in concert with new private and public domestic institutions.

This book examines the theology and ethics of land use, especially the practices of modern industrialized agriculture, in light of critical biblical exegesis. Nine interrelated essays explore the biblical writers' pervasive concern for the care of arable land against the background of the geography, social structures, and religious thought of ancient Israel. This approach consistently brings out neglected aspects of texts, both poetry and prose, that are central to Jewish and Christian traditions. Rather than seeking solutions from the past, Davis creates a conversation between ancient texts and contemporary agrarian writers; thus she provides a fresh perspective from which to view the destructive practices and assumptions that now dominate the global food economy. The biblical exegesis is wide-ranging and sophisticated; the language is literate and accessible to a broad audience.

This book examines the theology and ethics of land use, especially the practices of modern industrialized agriculture, in light of critical biblical exegesis. Nine interrelated essays explore the biblical writers' pervasive concern for the care of arable land against the background of the geography, social structures, and religious thought of ancient Israel. This approach consistently brings out neglected aspects of texts, both poetry and prose, that are central to Jewish and Christian traditions. Rather than seeking solutions from the past, Davis creates a conversation between ancient texts and contemporary agrarian writers; thus she provides a fresh perspective from which to view the destructive practices and assumptions that now dominate the global food economy. The biblical exegesis is wide-ranging and sophisticated; the language is literate and accessible to a broad audience.

Victorian science changed language from a tool into a natural phenomenon, evolving independently of its speakers. Will Abberley explores how science and fiction interacted in imagining different stories of language evolution. Popular narratives of language progress clashed with others of decay and degeneration. Furthermore, the blurring of language evolution with biological evolution encouraged Victorians to re-imagine language as a mixture of social convention and primordial instinct. Abberley argues that fiction by authors such as Charles Kingsley, Thomas Hardy and H. G. Wells not only reflected these intellectual currents, but also helped to shape them. Genres from utopia to historical romance supplied narrative models for generating thought experiments in the possible pasts and futures of language. Equally, fiction that explored the instinctive roots of language intervened in debates about language standardisation and scientific objectivity. These textual readings offer new perspec

Victorian science changed language from a tool into a natural phenomenon, evolving independently of its speakers. Will Abberley explores how science and fiction interacted in imagining different stories of language evolution. Popular narratives of language progress clashed with others of decay and degeneration. Furthermore, the blurring of language evolution with biological evolution encouraged Victorians to re-imagine language as a mixture of social convention and primordial instinct. Abberley argues that fiction by authors such as Charles Kingsley, Thomas Hardy and H. G. Wells not only reflected these intellectual currents, but also helped to shape them. Genres from utopia to historical romance supplied narrative models for generating thought experiments in the possible pasts and futures of language. Equally, fiction that explored the instinctive roots of language intervened in debates about language standardisation and scientific objectivity. These textual readings offer new perspec

Ecohydrology of Water-Controlled Ecosystems addresses the connections between the hydrologic cycle and plant ecosystems, with special emphasis on arid and semi-arid climates. This important topic is treated by building suitable mathematical models of the physics involved and then applying them to study the ecosystem structure and its response to rainfall and climate forcing in different parts of the world, including savannas, grasslands and forests. It investigates the vegetation response to water stress (drought), the hydrologic control on cycles of soil nutrients, and the dynamics of plant competition for water. The book also offers insights into processes closely related to soil moisture dynamics, such as soil-atmosphere interaction and soil gas emissions. This book will appeal to advanced students and researchers from a large range of disciplines, including environmental science, hydrology, ecology, earth science, civil and environmental engineering, agriculture and atmospheric sci

Cultures of Inquiry provides an overview of research methodologies in social science, historical and cultural studies. Facing Kant's proposition that pure reason cannot contain social inquiry, John R. Hall uses a method of hermeneutic deconstruction to produce a 'critique of impure reason', thereby charting a 'third path' to knowledge. Inquiries conventionally allocated to science or interpretation, modern or postmodern, he argues, depend upon interconnected methodologies that transcend present-day disciplinary and interdisciplinary boundaries. He identifies four formative discourses and eight methodological practices of inquiry, and explores new possibilities for translation between different types of knowledge. Cultures of Inquiry neither exoticizes academic subcultures nor essentializes Culture as the spirit of academe. Instead, it addresses workaday issues of research via a sociology of knowledge that speaks to controversies concerning how inquiry is and ought to be practiced under

Cultures of Inquiry provides an overview of research methodologies in social science, historical and cultural studies. Facing Kant's proposition that pure reason cannot contain social inquiry, John R. Hall uses a method of hermeneutic deconstruction to produce a 'critique of impure reason', thereby charting a 'third path' to knowledge. Inquiries conventionally allocated to science or interpretation, modern or postmodern, he argues, depend upon interconnected methodologies that transcend present-day disciplinary and interdisciplinary boundaries. He identifies four formative discourses and eight methodological practices of inquiry, and explores new possibilities for translation between different types of knowledge. Cultures of Inquiry neither exoticizes academic subcultures nor essentializes Culture as the spirit of academe. Instead, it addresses workaday issues of research via a sociology of knowledge that speaks to controversies concerning how inquiry is and ought to be practiced under

This is the revised and expanded second edition of the hugely popular Numerical Recipes: the Art of Scientific Computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner, it proceeds from mathematical and theoretical considerations to actual, practical computer routines. With over 100 new routines, bringing the total to well over 300, plus upgraded versions of many of the original routines, this second edition, first published in 1993, is the most practical, comprehensive handbook of scientific computing available today. The book retains the informal, easy-to-read style that made the first edition so popular, even while introducing some more advanced topics. It is an ideal textbook for scientists and engineers, and an indispensable reference for anyone who works in scientific computing. The second edition is availabLe in FORT

Exploring the overlap of mathematics and engineering network synthesis, this book presents a rigorous treatment of the key principles underpinning linear lumped passive time-invariant networks. Based around a series of lectures given by the author, this thoughtfully written book draws on his wide experience in the field, carefully revealing the essential mathematical structure of network synthesis problems. Topics covered include passive n-ports, broadband matching, the design of passive multiplexes and two-state passive devices. It also includes material not usually found in existing texts, such as the theoretical behavior of transverse electromagnetic (TEM) coupled transmission lines. Introducing fundamental principles in a formal theorem-proof style, illustrated by worked examples, this book is an invaluable resource for graduate students studying linear networks and circuit design, academic researchers, and professional circuit engineers.

A Handbook of Categorical Algebra is designed to give, in three volumes, a detailed account of what should be known by everybody working in, or using, category theory. As such it will be a unique reference. The volumes are written in sequence, with the first being essentially self-contained, and are accessible to graduate students with a good background in mathematics. Volume 1, which is devoted to general concepts, can be used for advanced undergraduate courses on category theory. After introducing the terminology and proving the fundamental results concerning limits, adjoint functors and Kan extensions, the categories of fractions are studied in detail; special consideration is paid to the case of localizations. The remainder of the first volume studies various 'refinements' of the fundamental concepts of category and functor.

Democracies have a problem with expertise. Expert knowledge both mediates and facilitates public apprehension of problems, yet it also threatens to exclude the public from consequential judgments and decisions located in technical domains. This book asks: how can we have inclusion without collapsing the very concept of expertise? How can public judgment be engaged in expert practices in a way that does not reduce to populism? Drawing on deliberative democratic theory and social studies of science, Critical Elitism argues that expert authority depends ultimately on the exercise of public judgment in a context in which there are live possibilities for protest, opposition and scrutiny. This account points to new ways of looking at the role of civil society, expert institutions, and democratic innovations in the constitution of expert authority within democratic systems. Using the example of climate science, Critical Elitism highlights not only the risks but also the benefits of contesting

Democracies have a problem with expertise. Expert knowledge both mediates and facilitates public apprehension of problems, yet it also threatens to exclude the public from consequential judgments and decisions located in technical domains. This book asks: how can we have inclusion without collapsing the very concept of expertise? How can public judgment be engaged in expert practices in a way that does not reduce to populism? Drawing on deliberative democratic theory and social studies of science, Critical Elitism argues that expert authority depends ultimately on the exercise of public judgment in a context in which there are live possibilities for protest, opposition and scrutiny. This account points to new ways of looking at the role of civil society, expert institutions, and democratic innovations in the constitution of expert authority within democratic systems. Using the example of climate science, Critical Elitism highlights not only the risks but also the benefits of contesting

The classic translation of this most important medieval Jewish text, presented in one volume for the first time. The twelfth-century Arabic text The Guide of the Perplexed is a monument of biblical exegesis and is widely regarded as one of the most important works of Jewish philosophy. Written by the Sephardic Jewish rabbi Moses ben Maimon (commonly known as Maimonides), the Guide takes the form of a letter to a disciple who is perplexed by the attempt to square a literalist reading of scripture with reason, science, and tradition. Maimonides' instructive response proved liberative for generations of both Jewish and Christian philosophers and continues to inspire to this day. Shlomo Pines's translation has served students and scholars for decades, and it is presented here, with Leo Strauss's influential introduction, in one volume for the first time.

Molecular simulation is a powerful tool in materials science, physics, chemistry and biomolecular fields. This updated edition provides a pragmatic introduction to a wide range of techniques for the simulation of molecular systems at the atomic level. The first part concentrates on methods for calculating the potential energy of a molecular system, with new chapters on quantum chemical, molecular mechanical and hybrid potential techniques. The second part describes methods examining conformational, dynamical and thermodynamical properties of systems, covering techniques including geometry-optimization, normal-mode analysis, molecular dynamics, and Monte Carlo simulation. Using Python, the second edition includes numerous examples and program modules for each simulation technique, allowing the reader to perform the calculations and appreciate the inherent difficulties involved in each. This is a valuable resource for researchers and graduate students wanting to know how to use atomic-sc

This book challenges the ongoing scholarly debates on poor people's negotiations with democracy. It demonstrates the varied ways in which the poor engage with their elected representatives, political mediators and dominant classes in order to advance their claims. Roy explains the variations by directing attention to the dynamic interaction between the opportunity structures available to the poor and the social relations of power in which they are embedded. He analyses these intersections as 'political spaces' which both enable and constrain popular practices. Through examination of the 'political spaces' available to the poor in four different localities, Roy outlines a new analytic framework to understanding poor people's politics. Based on these observations, the book makes a strong case for an approach to democracy that appreciates people's ambivalences towards democracy. Roy urges researchers of democracy to step beyond either enthusiastic narratives - the inevitability of democra

In South America indigenous languages are extremely diverse. There are over one hundred language families in this region alone. Contributors from around the world explore the history and structure of these languages, combining insights from archaeology and genetics with innovative linguistic analysis. The book aims to uncover regional patterns and potential deeper genealogical relations between the languages. Based on a large-scale database of features from sixty languages, the book analyses major language families such as Tupian and Arawakan, as well as the Quechua/Aymara complex in the Andes, the Isthmo-Colombian region and the Andean foothills. It explores the effects of historical change in different grammatical systems and fills gaps in the World Atlas of Language Structures (WALS) database, where South American languages are underrepresented. An important resource for students and researchers interested in linguistics, anthropology and language evolution.

This book deals with the rise and fall of the kingdom of Northumbria. It examines the mechanisms of ethnic, political, social and religious change which, beginning after the end of the Roman Empire, welded the large and disparate area between the Humber and the Firth of Forth into one of the most powerful kingdoms of early medieval England, and those which led to its disintegration and its replacement by political structures of northern England and southern Scotland. The story is set in a wider European context so that the history of Northumbria is seen as paradigmatic for an understanding of state formation and religious and cultural change in the early medieval world. Full attention is given to archaeological and art-historical material, and the extent to which narrative sources were shaped by sectional interests and created imagined visions of the past.

Modelling large-scale wave fields and their interaction with coastal and offshore structures has become much more feasible over the last two decades with increases in computer speeds. Wave modelling c