Feature Extraction

The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.

The Cambridge History of Seventeenth-Century Philosophy offers a uniquely comprehensive and authoritative overview of early-modern philosophy written by an international team of specialists. As with previous Cambridge histories of philosophy the subject is treated by topic and theme, and since history does not come packaged in neat bundles, the subject is also treated with great temporal flexibility, incorporating frequent reference to medieval and Renaissance ideas. The basic structure of the volumes corresponds to the way an educated seventeenth-century European might have organised the domain of philosophy. Thus, the history of science, religious doctrine, and politics feature very prominently. The narrative that unfolds begins with an intellectual world dominated by a synthesis of Aristotelianism and scholastic philosophy, but by the end of the period the mechanistic or 'corpuscularian' philosophy has emerged and exerted its full impact on traditional metaphysics, ethics, theology,

This up-to-date edition makes Euripides' most famous and influential play accessible to students of Greek reading their first tragedy as well as to more advanced students. The introduction analyzes Medea as a revenge-plot, evaluates the strands of motivation that lead to her tragic insistence on killing her own children, and assesses the potential sympathy of a Greek audience for a character triply marked as other (barbarian, witch, woman). A unique feature of this book is the introduction to tragic language and style. The text, revised for this edition, is accompanied by an abbreviated critical apparatus. The commentary provides morphological and syntactic help for inexperienced students and more advanced observations on vocabulary, rhetoric, dramatic techniques, stage action, and details of interpretation, from the famous debate of Medea and Jason to the 'unmotivated' entrance of Aegeus and the controversial monologue of Medea.

This edited volume draws together a wide range of exciting developments in the study of marital interaction. A significant feature of the book is its focus, not only on conflict and negative interactions but also on the processes by which couples maintain happy and constructive relationships. The chapters review and integrate the extensive literature in this area, as well as presenting important research findings. The contributors come from the disciplines of communication, social psychology and clinical psychology, and have national and international reputations for their work in this area. The findings reflect developments in theory and methodology, and have important implications for those working to strengthen and repair marital relationships.

The sounds of language can be divided into consonants, vowels, and tones - the use of pitch to convey word meaning. Seventy percent of the world's languages use pitch in this way. Assuming little or no prior knowledge of the topic, this textbook provides a clearly organized introduction to tone and tonal phonology. Comprehensive in scope, it examines the main types of tonal systems found in Africa, the Americas, and Asia, using examples from the widest possible range of tone languages. It provides students with a basic grasp of the simple phonetics of tone, and covers key topics such as the distinctive feature systems suitable for tonal contrasts, allophonic and morphophonological tonal alterations, and how to analyze them within Optimality Theory. The book also examines the perception and acquisition of tone, as well as the interface between tonal phonology and the morphosyntax.

Why are forced displacement, ethnic cleansing and genocide an enduring feature of state systems? In this book, Heather Rae locates these practices of 'pathological homogenisation' in the processes of state building. Political elites have repeatedly used cultural resources to redefine bounded political communities as exclusive moral communities, from which outsiders must be expelled. Showing that these practices predate the age of nationalism, Rae examines cases from both pre-nationalist and nationalist eras: the expulsion of the Jews from fifteenth century Spain, the persecution of the Huguenots under Louis XIV, and in the twentieth century, the Armenian genocide, and ethnic cleansing in former Yugoslavia. She argues that those atrocities prompted the development of international norms of legitimate state behaviour that increasingly define sovereignty as conditional. Rae concludes by examining two 'threshold' cases - the Czech Republic and Macedonia - to identify the factors that may i

Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be app

Finance provides a dramatic example of the successful application of advanced mathematical techniques to the practical problem of pricing financial derivatives. This self-contained 2002 text is designed for first courses in financial calculus aimed at students with a good background in mathematics. Key concepts such as martingales and change of measure are introduced in the discrete time framework, allowing an accessible account of Brownian motion and stochastic calculus: proofs in the continuous-time world follow naturally. The Black-Scholes pricing formula is first derived in the simplest financial context. The second half of the book is then devoted to increasing the financial sophistication of the models and instruments. The final chapter introduces more advanced topics including stock price models with jumps, and stochastic volatility. A valuable feature is the large number of exercises and examples, designed to test technique and illustrate how the methods and concepts can be app

Why are forced displacement, ethnic cleansing and genocide an enduring feature of state systems? In this book, Heather Rae locates these practices of 'pathological homogenisation' in the processes of state building. Political elites have repeatedly used cultural resources to redefine bounded political communities as exclusive moral communities, from which outsiders must be expelled. Showing that these practices predate the age of nationalism, Rae examines cases from both pre-nationalist and nationalist eras: the expulsion of the Jews from fifteenth century Spain, the persecution of the Huguenots under Louis XIV, and in the twentieth century, the Armenian genocide, and ethnic cleansing in former Yugoslavia. She argues that those atrocities prompted the development of international norms of legitimate state behaviour that increasingly define sovereignty as conditional. Rae concludes by examining two 'threshold' cases - the Czech Republic and Macedonia - to identify the factors that may i

In this important study, Professor McIntosh argues against the suggestion that social regulation was a distinctive feature of the decades around 1600, resulting from Puritanism. Instead, through an examination of 255 village and small-town communities distributed throughout England, Professor McIntosh demonstrates that concern with wrongdoing mounted gradually between 1370 and 1600. In an attempt to maintain good order and enforce ethical conduct, local leaders prosecuted people who slandered or quarrelled with their neighbours, engaged in sexual misdeeds, operated unruly alehouses, or refused to work. Professor McIntosh also explores who the offenders were as well as the factors that led to misbehaviour and shaped responses to it. More generally, Professor McIntosh sheds light on the transition from medieval to early modern patterns and succeeds here in opening up little-known sources and new research methods.

Pilgrimage was a central feature of medieval English life which affected history, politics, art and literature. The shrines were destroyed during the Reformation and pilgrimage stopped, yet the idea of pilgrimage continued - refashioned - in Protestant theology and in the exploration of the newly discovered world. By reaching beyond the Reformation to explore the transformation of the idea of the pilgrim in Protestant spirituality, this book confronts the religious experience of the English laity over half a millennium. The attractions for pilgrims of journeys to Jerusalem and to Canterbury and other English religious shrines are considered, while the political aspects of pilgrimage are discussed in relation to the architectural, documentary and pictorial evidence for the expression of lay piety in late medieval England. The cult of St Thomas of Canterbury is studied in particular detail, up to the suppression and in the revival of the cult in the sixteenth century.

From beginning to end of the Iliad, Agamemnon and Achilleus are locked in a high-stakes struggle for dominance based on their efforts to impose competing definitions of loss incurred and the nature of compensation thereby owed. This typology of scenes involving apoina, or 'ransom' and poine, or 'revenge' is the basis of Donna Wilson's detailed anthropology of compensation in Homer, which she locates in the wider context of agonistic exchange. Wilson argues that a struggle over definitions is a central feature of elite competition for status in the zero-sum and fluid ranking system characteristic of Homeric society. This system can be used to explain why Achilleus refuses Agamemnon's 'compensation' in Book 9, as well as why and how the embassy tries to mask it. Ransom, Revenge, and Heroic Identity in the Iliad thus examines the traditional semantic, cultural and poetic matrix of which compensation is an integral part.

Stochastic processes with jumps and random measures are importance as drivers in applications like financial mathematics and signal processing. This 2002 text develops stochastic integration theory for both integrators (semimartingales) and random measures from a common point of view. Using some novel predictable controlling devices, the author furnishes the theory of stochastic differential equations driven by them, as well as their stability and numerical approximation theories. Highlights feature DCT and Egoroff's Theorem, as well as comprehensive analogs results from ordinary integration theory, for instance previsible envelopes and an algorithm computing stochastic integrals of càglàd integrands pathwise. Full proofs are given for all results, and motivation is stressed throughout. A large appendix contains most of the analysis that readers will need as a prerequisite. This will be an invaluable reference for graduate students and researchers in mathematics, physics, electrical en

This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.

Imitation guides the behaviour of a range of species. Scientific advances in the study of imitation at multiple levels from neurons to behaviour have far-reaching implications for cognitive science, neuroscience, and evolutionary and developmental psychology. This volume, first published in 2002, provides a summary of the research on imitation in both Europe and America, including work on infants, adults, and nonhuman primates, with speculations about robotics. A special feature of the book is that it provides a concrete instance of the links between developmental psychology, neuroscience, and cognitive science. It showcases how an interdisciplinary approach to imitation can illuminate long-standing problems in the brain sciences, including consciousness, self, perception-action coding, theory of mind, and intersubjectivity. The book addresses what it means to be human and how we get that way.

This 2002 book examines the interaction between ocean waves and oscillating systems. With a focus on linear analysis of low-amplitude waves, the text is designed to convey a thorough understanding of

The influence of the lifespan approach has been an important feature of recent research in developmental psychology, as has a growing interest in the relationship between personality and development. This important new book, edited by two distinguished psychologists, explores the relationship between personality and development from a life-course perspective. The book presents current theoretical approaches and new empirical findings from ongoing studies conducted by leading researchers in North America and Europe. It is unique in focussing on successful personality development, where developmental psychology in the past seems to have focussed almost entirely on problem behaviour and risk of maladaption. The book has a multidisciplinary appeal and will be of interest to students and researchers in the fields of developmental psychology, adult development and aging, and personality and social psychology.

Efforts to create and mould new technologies have been a central, recurrent feature of the American experience since at least the time of the Revolution. In Regulating Railroad Innovation, historian Steven Usselman brings this neglected aspect of American history to light. For nearly a century, railroad technology persistently posed novel challenges for Americans, prompting them to re-examine their most cherished institutions and beliefs. Business managers, inventors, consumers, and politicians all strained to contain the forces of innovation and to channel technical change toward the ends they desired. Moving through time from the first experimental lines through the polished but troubled railroad machines of the early twentieth century, Usselman examines diverse forums ranging from legislatures, and evolving corporate bureaucracies to laboratories, engineering societies, and world's fairs. In the process, his book situates technology within the dynamic history of an emergent industri

Efforts to create and mould new technologies have been a central, recurrent feature of the American experience since at least the time of the Revolution. In Regulating Railroad Innovation, historian Steven Usselman brings this neglected aspect of American history to light. For nearly a century, railroad technology persistently posed novel challenges for Americans, prompting them to re-examine their most cherished institutions and beliefs. Business managers, inventors, consumers, and politicians all strained to contain the forces of innovation and to channel technical change toward the ends they desired. Moving through time from the first experimental lines through the polished but troubled railroad machines of the early twentieth century, Usselman examines diverse forums ranging from legislatures, and evolving corporate bureaucracies to laboratories, engineering societies, and world's fairs. In the process, his book situates technology within the dynamic history of an emergent industri

Political extremism is widely considered to be the product of irrational behavior. The distinguishing feature of this collection by well-known economists and political scientists from North America, Europe and Australia is to propose a variety of explanations which all insist on the rationality of extremism. Contributors use variants of this approach to shed light on subjects such as the conditions under which democratic parties take extremist positions, the relationship between extremism and conformism, the strategies adopted by revolutionary movements, and the reasons why extremism often leads to violence. The authors identify four core issues in the study of the phenomenon: the nature (definition) of extremism and its origins in both democratic and authoritarian settings, the capacity of democratic political systems to accommodate extremist positions, the strategies (civil disobedience, assassination, lynching) chosen by extremist groups, and the circumstances under which extremism

This guide explains when and how to extract the third molar, emphasizing efficient surgical protocols that preserve the tissue environment. Special attention is given to the use of clinical data, sta

For many people the existence of God is by no means a sufficiently clear feature of reality. This problem, the fact of divine hiddenness, has been a source of existential concern and has sometimes been taken as a rationale for support of atheism or agnosticism. In this collection of essays, a distinguished group of philosophers of religion explore the question of divine hiddenness in considerable detail. The issue is approached from several perspectives including Jewish, Christian, atheist and agnostic. There is coverage of the historical treatment of divine hiddenness as found in the work of Maimonides, St. John of the Cross, Jonathan Edwards, Kierkegaard, and various Biblical writers. A substantial introduction clarifies the main problems of and leading solutions to divine hiddenness. Primarily directed at philosophers of religion, theologians, and scholars of religious studies, this collection could also serve as a textbook for upper-level courses in philosophy of religion.

In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James r

Social action is central to social thought. This centrality reflects the overwhelming causal significance of action for social life, the centrality of action to any account of social phenomena, and the fact that conventions and normativity are features of human activity. This book provides philosophical analyses of fundamental categories of human social action, including cooperative action, conventional action, social norm governed action, and the actions of the occupants of organizational roles. A distinctive feature of the book is that it applies these theories of social action categories to some important moral issues that arise in social contexts such as the collective responsibility for environmental pollution, humanitarian intervention, and dealing with the rights of minority groups. Avoiding both the excessively atomistic individualism of rational choice theorists and implausible collectivist assumptions, this important book will be widely read by philosophers of the social scie

What do we do if different studies appear to give different answers? When applying research to questions for individual patients or for health policy, one of the challenges is interpreting such apparently conflicting research. A systematic review is a method to systematically identify relevant research, appraise its quality, and synthesize the results. The last two decades have seen increasing interest and developments in methods for doing high quality systematic reviews. Part I of this book provides a clear introduction to the concepts of reviewing, and lucidly describes the difficulties and traps to avoid. A unique feature of the book is its description, in Part II, of the different methods needed for different types of health care questions: frequency of disease, prognosis, diagnosis, risk, and management. As well as illustrative examples, there are exercises for each of the sections. This is essential reading for those interested in synthesizing health care research.

This quarterly publication acts as an international forum for practitioners and academics by publishing cutting-edge research covering all aspects of architectural endeavour. Fully illustrated throughout, Architectural Research Quarterly includes sections on design, history, theory, environmental design, construction, information technology, and practice. Other features include occasional reports, letters pages and an end feature, Insight. There is also the Architectural Research Quarterly Directory - a listing of specialist research and consultancy with an online, cumulative version which aims to provide a lasting and invaluable resource for all. Architectural Research Quarterly presents information in a way that is accessible to all and is essential reading for practitioners in industry and consultancy as well as for academic researchers. Reviews of significant buildings are written at a length which can no longer be sustained by other architectural journals. All articles are generou

Numerical analysis is an increasingly important link between pure mathematics and its application in science and technology. This textbook provides an introduction to the justification and development of constructive methods that provide sufficiently accurate approximations to the solution of numerical problems, and the analysis of the influence that errors in data, finite-precision calculations, and approximation formulas have on results, problem formulation and the choice of method. It also serves as an introduction to scientific programming in MATLAB, including many simple and difficult, theoretical and computational exercises. A unique feature of this book is the consequent development of interval analysis as a tool for rigorous computation and computer assisted proofs, along with the traditional material.

The Skeptical Environmentalist challenges widely held beliefs that the environmental situation is getting worse and worse. The author, himself a former member of Greenpeace, is critical of the way in which many environmental organisations make selective and misleading use of the scientific evidence. Using the best available statistical information from internationally recognised research institutes, Bjørn Lomborg systematically examines a range of major environmental problems that feature prominently in headline news across the world. His arguments are presented in non-technical, accessible language and are carefully backed up by over 2500 footnotes allowing readers to check sources for themselves. Concluding that there are more reasons for optimism than pessimism, Bjørn Lomborg stresses the need for clear-headed prioritisation of resources to tackle real, not imagined problems. The Skeptical Environmentalist offers readers a non-partisan stocktaking exercise that serves as a useful co

More and more working computer professionals are confronted with the use, maintenance, or customization of cryptographic components and program certification mechanisms for local or mobile code. This text for advanced undergraduate and beginning graduate students tells what every computer scientist ought to know about cryptographic systems, security protocols, and secure information flow in programs. Highlights include a detailed description of the new advanced encryption standard Rijndael; a complete description of an optimal public-key encryption using RSA which turns 'textbook RSA' into a practical implementation; a current, and formal discussion of standard security models for information flow in computer programs or human organizations; and a discussion of moral, legal, and political issues. Another novel feature of the book is the presentation of a formal model-checking tool for specifying and debugging security protocols. The book also includes numerous implementation exercises

This ground-breaking quarterly publication acts as an international forum for practitioners and academics by publishing cutting-edge research covering all aspects of architectural endeavour. Fully illustrated throughout, Architectural Research Quarterly includes sections on design, history, theory, environmental design, construction, information technology, and practice. Other features include occasional reports, letters pages and an end feature, Insight. There is also the Architectural Research Quarterly Directory - a listing of specialist research and consultancy with an online, cumulative version which aims to provide a lasting and invaluable resource for all. Architectural Research Quarterly presents information in a way that is accessible to all and is essential reading for practitioners in industry and consultancy as well as for academic researchers. Reviews of significant buildings are written at a length which can no longer be sustained by other architectural journals. All arti

The control of vibrating systems is a significant issue in the design of aircraft, spacecraft, bridges and high-rise buildings. This 2001 book discusses the control of vibrating systems, integrating structural dynamics, vibration analysis, modern control and system identification. Integrating these subjects is an important feature in that engineers will need only one book, rather than several texts or courses, to solve vibration control problems. The book begins with a review of basic mathematics needed to understand subsequent material. Chapters then cover more recent and valuable developments in aerospace control and identification theory, including virtual passive control, observer and state-space identification, and data-based controller synthesis. Many practical issues and applications are addressed, with examples showing how various methods are applied to real systems. Some methods show the close integration of system identification and control theory from the state-space perspec

Between 1100 and 1600, the emphasis on reason in the learning and intellectual life of Western Europe became more pervasive and widespread than ever before in the history of human civilization. Of crucial significance was the invention of the university around 1200, within which reason was institutionalized and where it became a deeply embedded, permanent feature of Western thought and culture. It is therefore appropriate to speak of an Age of Reason in the Middle Ages, and to view it as a forerunner and herald of the Age of Reason that was to come in the seventeenth century. The object of this study is twofold: to describe how reason was manifested in the curriculum of medieval universities, especially in the subjects of logic, natural philosophy and theology; and to explain how the Middle Ages acquired an undeserved reputation as an age of superstition, barbarism, and unreason.

Structural proof theory is a branch of logic that studies the general structure and properties of logical and mathematical proofs. This book is both a concise introduction to the central results and methods of structural proof theory, and a work of research that will be of interest to specialists. The book is designed to be used by students of philosophy, mathematics and computer science. The book contains a wealth of results on proof-theoretical systems, including extensions of such systems from logic to mathematics, and on the connection between the two main forms of structural proof theory - natural deduction and sequent calculus. The authors emphasize the computational content of logical results. A special feature of the volume is a computerized system for developing proofs interactively, downloadable from the web and regularly updated.

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

International negotiations have become an increasingly widespread feature of international affairs, as the number of parties involved have grown, and regional and global fora have multiplied. Cecilia Albin examines the role of considerations of justice and fairness in these negotiations. She argues that negotiators do not simply pursue their narrow interests or those of their countries, but regularly take principles of justice and fairness into account. These principles come into play at an early stage, as talks are structured and agendas set; in the bargaining process itself; and in the implementation of and compliance with agreements. The analysis is based on cases in four important areas: the environment; international trade; ethnic conflict (the Israeli-Palestinian conflict); and arms control. Drawing on a mass of empirical data, including a large number of interviews, this book relates the abstract debate over international norms and ethics to the realities of international relati

International negotiations have become an increasingly widespread feature of international affairs, as the number of parties involved have grown, and regional and global fora have multiplied. Cecilia Albin examines the role of considerations of justice and fairness in these negotiations. She argues that negotiators do not simply pursue their narrow interests or those of their countries, but regularly take principles of justice and fairness into account. These principles come into play at an early stage, as talks are structured and agendas set; in the bargaining process itself; and in the implementation of and compliance with agreements. The analysis is based on cases in four important areas: the environment; international trade; ethnic conflict (the Israeli-Palestinian conflict); and arms control. Drawing on a mass of empirical data, including a large number of interviews, this book relates the abstract debate over international norms and ethics to the realities of international relati

This ground-breaking quarterly publication acts as an international forum for practitioners and academics by publishing cutting-edge research covering all aspects of architectural endeavour. Fully illustrated throughout, Architectural Research Quarterly includes sections on design, history, theory, environmental design, construction, information technology, and practice. Other features include occasional reports, letters pages and an end feature, Insight. There is also the Architectural Research Quarterly Directory - a listing of specialist research and consultancy with an online, cumulative version which aims to provide a lasting and invaluable resource for all. Architectural Research Quarterly presents information in a way that is accessible to all and is essential reading for practitioners in industry and consultancy as well as for academic researchers. Articles in this issue include: Domestic type and urban image: three mews houses in Dublin and Observations on masonry vaulting.

Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to

Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to

This ground-breaking quarterly publication acts as an international forum for practitioners and academics by publishing cutting-edge research covering all aspects of architectural endeavour. Fully illustrated throughout, Architectural Research Quarterly includes sections on design, history, theory, environmental design, construction, information technology, and practice. Other features include occasional reports, letters pages and an end feature, Insight. There is also the Architectural Research Quarterly Directory - a listing of specialist research and consultancy with an online, cumulative version which aims to provide a lasting and invaluable resource for all. Articles in this issue include: The aesthetics of gravity; The individual and mass housing: the delicate balance; The Atacama desert's last nitrate cities; Following the crowd: spatial layout and crowd behaviour; Building methods in the architecture of Aalvaro Siza.