Mathematics of Discrete Structures for Computer Science

Continuing his groundbreaking analysis of economic structures, Douglass North develops an analytical framework for explaining the ways in which institutions and institutional change affect the performance of economies, both at a given time and over time. Institutions exist, he argues, due to the uncertainties involved in human interaction; they are the constraints devised to structure that interaction. Yet, institutions vary widely in their consequences for economic performance; some economies develop institutions that produce growth and development, while others develop institutions that produce stagnation. North first explores the nature of institutions and explains the role of transaction and production costs in their development. The second part of the book deals with institutional change. Institutions create the incentive structure in an economy, and organisations will be created to take advantage of the opportunities provided within a given institutional framework. North argues t

Continuing his groundbreaking analysis of economic structures, Douglass North develops an analytical framework for explaining the ways in which institutions and institutional change affect the performance of economies, both at a given time and over time. Institutions exist, he argues, due to the uncertainties involved in human interaction; they are the constraints devised to structure that interaction. Yet, institutions vary widely in their consequences for economic performance; some economies develop institutions that produce growth and development, while others develop institutions that produce stagnation. North first explores the nature of institutions and explains the role of transaction and production costs in their development. The second part of the book deals with institutional change. Institutions create the incentive structure in an economy, and organisations will be created to take advantage of the opportunities provided within a given institutional framework. North argues t

From a foremost expert on the science of emotions and consultant to Pixar’s Inside Out, a groundbreaking and essential exploration into the history, science, and greater understanding of aweAwe is mysterious. How do we begin to quantify the goose bumps we feel when we see the Grand Canyon, or the utter amazement when we watch a child walk for the first time? How do you put into words the collective effervescence of standing in a crowd and singing in unison, or the wonder you feel while gazing at centuries-old works of art? Up until fifteen years ago, there was no science of awe, the feeling we experience when we encounter vast mysteries that transcend our understanding of the world. Scientists were studying emotions like fear and disgust, emotions that seemed essential to human survival. Revolutionary thinking, though, has brought into focus how, through the span of evolution, we’ve met our most basic needs socially. We’ve survived thanks to our capacities to cooperate, form communitie

For the past hundred years, the social survey has been a major tool of social investigation, and its use has also been linked to social reform. Starting with the landmark surveys of Charles Booth in London and Jane Addams in Chicago, social surveys in both Britain and the Unites States investigated poverty, unemployment and other difficult social conditions. While in Britain there was marked continuity between the early studies of Booth and others, in the US the social survey movement exercised curiously little impact upon empirical social science. This 2001 book traces the history of the social Survey in Britain and the US, with two chapters on Germany and France. It discusses the aims and interests of those who carried out early surveys, and the links between the social survey and the growth of empirical social science. The contributors are drawn from a range of disciplines, including history, sociology, political science, demography and geography.

Do you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction – the most powerful tool for solving problems – rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

Do you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction – the most powerful tool for solving problems – rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

This book looks at the rise, during this century, of planned development. Most discussion has stressed differences in the style, content and organization of planning in various countries, but this book focuses on the similarities, arguing that it is done in much the same way everywhere, and for basically the same reasons. It begins by tracing the history of modern planning to the efforts of Russia and the western countries earlier this century to organize and control industrialization and economic growth. It looks at the characteristic structures, processes and organizations; of planning and the conflicts in intentions and aspirations of modern states and of ordinary people. A detailed case study of planning in Malaysia is also included.

How much of global warming is due to human activities? How far will it be possible to adapt to changes of climate? Sir John Houghton's definitive, full colour guide to climate change answers these questions and more by providing the best and latest information available, including the latest IPCC findings. The simple, logical flow of ideas gives an invaluable grounding in the science, as well as the physical and human impacts of climate change, for undergraduate students across a wide range of disciplines. Accessible to both scientists and non-scientists, the text avoids mathematical equations and includes more technical material in boxes, while simple figures help students to understand the conclusions the science leads to without being overwhelmed by vast amounts of data. Questions for students to consider and test their understanding are included in each chapter, along with carefully selected further reading to expand their knowledge.

How much of global warming is due to human activities? How far will it be possible to adapt to changes of climate? Sir John Houghton's definitive, full colour guide to climate change answers these questions and more by providing the best and latest information available, including the latest IPCC findings. The simple, logical flow of ideas gives an invaluable grounding in the science, as well as the physical and human impacts of climate change, for undergraduate students across a wide range of disciplines. Accessible to both scientists and non-scientists, the text avoids mathematical equations and includes more technical material in boxes, while simple figures help students to understand the conclusions the science leads to without being overwhelmed by vast amounts of data. Questions for students to consider and test their understanding are included in each chapter, along with carefully selected further reading to expand their knowledge.

You live your entire waking life immersed in your inner experiences (thoughts, feelings, sensations and so on) – private phenomena created by you, just for you, your own way. Despite their intimacy and ubiquity, you probably do not know the characteristics of your own inner phenomena; neither does psychology or consciousness science. Investigating Pristine Inner Experience explores how to apprehend inner experience in high fidelity. This book will transform your view of your own inner experience, awaken you to experiential differences between people and thereby reframe your thinking about psychology and consciousness science, which banned the study of inner experience for most of a century and yet continued to recognize its fundamental importance. The author, a pioneer in using beepers to explore inner experience, draws on his 35 years of studies to provide fascinating and provocative views of everyday inner experience and experience in bulimia, adolescence, the elderly, schizophrenia,

In the 1970s, Xerox pioneered the involvement of social science researchers in technology design and in developing better ways of working. The Xerox legacy is a hybrid methodology that combines an ethnographic interest in direct observation in settings of interest with an ethnomethodological concern to make the study of interactional work an empirical, investigatory matter. This edited volume is an overview of Xerox's social science tradition. It uses detailed case studies showing how the client engagement was conducted over time and how the findings were consequential for business impact. Case studies in retail, production, office and home settings cover four topics: practices around documents, the customer front, learning and knowledge-sharing, and competency transfer. The impetus for this book was a 2003 Xerox initiative to transfer knowledge about conducting ethnographically grounded work practice studies to its consultants so that they may generate the kinds of knowledge generated

This book provides a concise but broad overview of the engineering, science and flight history of planetary landers and atmospheric entry probes designed to explore the atmospheres and surfaces of other planets. It covers engineering aspects specific to such vehicles which are not usually treated in traditional spacecraft engineering texts. Examples are drawn from over thirty different lander and entry probe designs that have been used for lunar and planetary missions since the early 1960s. The authors provide detailed illustrations of many vehicle designs from different international space programs, and give basic information on their missions and payloads, irrespective of the mission's success or failure. Several missions are discussed in more detail to demonstrate the broad range of the challenges involved and the solutions implemented. This will form an important reference for professionals, academic researchers and graduate students involved in planetary science, aerospace enginee

This book provides a concise but broad overview of the engineering, science and flight history of planetary landers and atmospheric entry probes designed to explore the atmospheres and surfaces of other planets. It covers engineering aspects specific to such vehicles which are not usually treated in traditional spacecraft engineering texts. Examples are drawn from over thirty different lander and entry probe designs that have been used for lunar and planetary missions since the early 1960s. The authors provide detailed illustrations of many vehicle designs from different international space programs, and give basic information on their missions and payloads, irrespective of the mission's success or failure. Several missions are discussed in more detail to demonstrate the broad range of the challenges involved and the solutions implemented. This will form an important reference for professionals, academic researchers and graduate students involved in planetary science, aerospace enginee

Why has autonomy been a leading idea in philosophical writing on bioethics, and why has trust been marginal? In this important book, Onora O'Neill suggests that the conceptions of individual autonomy so widely relied on in bioethics are philosophically and ethically inadequate, and that they undermine rather than support relations of trust. She shows how Kant's non-individualistic view of autonomy provides a stronger basis for an approach to medicine, science and biotechnology, and does not marginalize untrustworthiness, while also explaining why trustworthy individuals and institutions are often undeservingly mistrusted. Her arguments are illustrated with issues raised by practices such as the use of genetic information by the police or insurers, research using human tissues, uses of new reproductive technologies, and media practices for reporting on medicine, science and technology. Autonomy and Trust in Bioethics will appeal to a wide range of readers in ethics, bioethics and relate

Why has autonomy been a leading idea in philosophical writing on bioethics, and why has trust been marginal? In this important book, Onora O'Neill suggests that the conceptions of individual autonomy so widely relied on in bioethics are philosophically and ethically inadequate, and that they undermine rather than support relations of trust. She shows how Kant's non-individualistic view of autonomy provides a stronger basis for an approach to medicine, science and biotechnology, and does not marginalize untrustworthiness, while also explaining why trustworthy individuals and institutions are often undeservingly mistrusted. Her arguments are illustrated with issues raised by practices such as the use of genetic information by the police or insurers, research using human tissues, uses of new reproductive technologies, and media practices for reporting on medicine, science and technology. Autonomy and Trust in Bioethics will appeal to a wide range of readers in ethics, bioethics and relate

This book covers the experimental and theoretical understanding of surface and thin film processes. It presents a unique description of surface processes in adsorption and crystal growth, including bonding in metals and semiconductors. Emphasis is placed on the strong link between science and technology in the description of, and research for, new devices based on thin film and surface science. Practical experimental design, sample preparation and analytical techniques are covered, including detailed discussions of Auger electron spectroscopy and microscopy. Thermodynamic and kinetic models of structure are emphasised throughout. The book provides extensive leads into practical and research literature, as well as resources on the World Wide Web (see http://venables.asu.edu/book). Each chapter contains problems which aim to develop awareness of the subject and the methods used. Aimed as a graduate textbook, this book will also be useful as a sourcebook for graduate students, researchers

This is the first comprehensive volume in English on Cassirer's philosophy for over seventy years. Eleven leading Cassirer scholars address all of the key aspects of Cassirer's multi-faceted thought and situate them in the wider context of his philosophy of culture. Their essays demonstrate the depth and richness of a philosophical enterprise that still awaits recognition as one of the most original contributions to twentieth-century philosophy. Interpreting Cassirer will prove invaluable not only for Cassirer scholars and researchers of early twentieth-century philosophy, but also for scholars of the philosophy of culture, language, science, art, history, and mind.

This is the first comprehensive volume in English on Cassirer's philosophy for over seventy years. Eleven leading Cassirer scholars address all of the key aspects of Cassirer's multi-faceted thought and situate them in the wider context of his philosophy of culture. Their essays demonstrate the depth and richness of a philosophical enterprise that still awaits recognition as one of the most original contributions to twentieth-century philosophy. Interpreting Cassirer will prove invaluable not only for Cassirer scholars and researchers of early twentieth-century philosophy, but also for scholars of the philosophy of culture, language, science, art, history, and mind.

This is a volume of papers organized by Professor Leontief for the 1976 meeting of the Economics section of the British Association for the Advancement of Science. After a paper by Professor Leontief applying input-output to the future of the world economy, other papers consider prices, regional problems, material supplies, urban problems, technical progress, unemployment and energy policy. There are two papers with a broader view of the British economy, one surveying government policy on the industrial structure of the economy and one considering the use of input-output for monitoring the development of the economy.

Iran has remained one of the most effective tools in Russia's foreign policy towards the West for more than two hundred years. Drawing on previously unpublished and recently declassified sources which change the established wisdom on many aspects of the history of Russia and Iran, Denis V. Volkov examines this relationship, and situates it within the broader context of Oriental studies. With a particular focus on the activities of scholars-diplomats, as well as scholars involved in academia, missionary activities and the military within their own professional domains, Volkov analyses the interaction of intellectuals with state structures and their participation in the process of shaping and conducting foreign policy towards Iran. This work explores the specific institutional practices of Russia's Oriental studies, including organisation of scholarly intelligence networks, taking advantage of state power for the promotion of institutional and individual interests, and profound engagemen

Iran has remained one of the most effective tools in Russia's foreign policy towards the West for more than two hundred years. Drawing on previously unpublished and recently declassified sources which change the established wisdom on many aspects of the history of Russia and Iran, Denis V. Volkov examines this relationship, and situates it within the broader context of Oriental studies. With a particular focus on the activities of scholars-diplomats, as well as scholars involved in academia, missionary activities and the military within their own professional domains, Volkov analyses the interaction of intellectuals with state structures and their participation in the process of shaping and conducting foreign policy towards Iran. This work explores the specific institutional practices of Russia's Oriental studies, including organisation of scholarly intelligence networks, taking advantage of state power for the promotion of institutional and individual interests, and profound engagemen

As our nearest star, the Sun offers a unique opportunity to study stellar physics in action. Following the success of his previous books, Galaxies and The Stars, Roger Tayler presents the first full picture of how studies of the Sun and the solar system help us understand stars in general and other planetary systems. Using mathematics appropriate for advanced undergraduate students in physics, this textbook provides a broad and wide-ranging introduction to the Sun as a star. Succinct derivations of key results - such as the properties of spectral lines, the theory of stellar oscillations, plasma physics, magnetohydrodynamics and dynamo theory - are provided in a number of handy appendices, ensuring that the book is completely self contained. Altogether, this is an invaluable textbook for students studying the Sun, stars, the solar-terrestrial environment and the formation of planetary systems.

As our nearest star, the Sun offers a unique opportunity to study stellar physics in action. Following the success of his previous books, Galaxies and The Stars, Roger Tayler presents the first full picture of how studies of the Sun and the solar system help us understand stars in general and other planetary systems. Using mathematics appropriate for advanced undergraduate students in physics, this textbook provides a broad and wide-ranging introduction to the Sun as a star. Succinct derivations of key results - such as the properties of spectral lines, the theory of stellar oscillations, plasma physics, magnetohydrodynamics and dynamo theory - are provided in a number of handy appendices, ensuring that the book is completely self contained. Altogether, this is an invaluable textbook for students studying the Sun, stars, the solar-terrestrial environment and the formation of planetary systems.

Quasicrystals and Geometry brings together for the first time the many strands of contemporary research in quasicrystal geometry and weaves them into a coherent whole. The author describes the historical and scientific context of this work, and carefully explains what has been proved and what is conjectured. This, together with a bibliography of over 250 references, provides a solid background for further study. The discovery in 1984 of crystals with 'forbidden' symmetry posed fascinating and challenging problems in many fields of mathematics, as well as in the solid state sciences. Increasingly, mathematicians and physicists are becoming intrigued by the quasicrystal phenomenon, and the result has been an exponential growth in the literature on the geometry of diffraction patterns, the behaviour of the Fibonacci and other nonperiodic sequences, and the fascinating properties of the Penrose tilings and their many relatives.

SUNAKO OF THES SCIENCE ROOMThe pressure is mountig on Kyouhei and the boys to turn Sunako into a lady, in order to get their rent for free! But when they find out that Sunako has been spending a lot o

Offering a new perspective, this textbook demystifies the operation of electric machines by providing an integrated understanding of electromagnetic fields, electric circuits, numerical analysis, and computer programming. It presents fundamental concepts in a rigorous manner, emphasising underlying physical modelling assumptions and limitations, and provides detailed explanations of how to implement the finite element method to explore these concepts using Python. It includes explanations of the conversion of concepts into algorithms, and algorithms into code, and examples building in complexity, from simple linear-motion electromagnets to rotating machines. Over 100 theoretical and computational end-of-chapter exercises test understanding, with solutions for instructors and downloadable Python code available online. Ideal for graduates and senior undergraduates studying electric machines, electric machine design and control, and power electronic converters and power systems engineerin

Why do recordings of speakers engaging in reported speech at British Prime Minister's Questions from the 1970s–80s sound so distant to us? This cutting-edge study explores how the practices of quoting have changed at parliamentary question time in light of changing conventions and an evolving media landscape. Comparing data from authentic audio and video recordings from 1978 to 1988 and from 2003 to 2013, it provides evidence for qualitative and quantitative changes at the micro level (e.g., grammaticalisation processes in the reporting clause) and in more global structures (e.g., rhetorical patterns, and activities). These analytic findings contribute to the theoretical modelling of evidentiality in English, our understanding of constructions, interaction, and change, and of PMQs as an evolving community of practice. One of the first large-scale studies of recent change in an interactional genre of English, this ground-breaking monograph offers a framework for a diachronic interaction

The social and intellectual vitality of Judaism and Christianity in antiquity was in large part a function of their ability to articulate a viably transcendent hope for the human condition. Narratives of Paradise - based on the concrete symbol of the Garden of Delights - came to play a central role for Jews, Christians, and eventually Muslims too. The essays in this volume highlight the multiple hermeneutical perspectives on biblical Paradise from Second Temple Judaism and Christian origins to the systematic expositions of Augustine and rabbinic literature. They show that while early Christian and Jewish sources draw on texts from the same Bible, their perceptions of Paradise often reflect the highly different structures of the two sister religions. Dealing with a wide variety of texts, these essays explore major themes such as the allegorical and literal interpretations of Paradise, the tension between heaven and earth, and Paradise's physical location in space and time.

The social and intellectual vitality of Judaism and Christianity in antiquity was in large part a function of their ability to articulate a viably transcendent hope for the human condition. Narratives of Paradise - based on the concrete symbol of the Garden of Delights - came to play a central role for Jews, Christians, and eventually Muslims too. The essays in this volume highlight the multiple hermeneutical perspectives on biblical Paradise from Second Temple Judaism and Christian origins to the systematic expositions of Augustine and rabbinic literature. They show that while early Christian and Jewish sources draw on texts from the same Bible, their perceptions of Paradise often reflect the highly different structures of the two sister religions. Dealing with a wide variety of texts, these essays explore major themes such as the allegorical and literal interpretations of Paradise, the tension between heaven and earth, and Paradise's physical location in space and time.

A unique and critical analysis of the wealth of research conducted on the biology, biochemistry and chemical ecology of the rapidly growing field of insect cuticular hydrocarbons. Authored by leading experts in their respective fields, the twenty chapters show the complexity that has been discovered in the nature and role of hydrocarbons in entomology. Covers, in great depth, aspects of chemistry (structures, qualitative and quantitative analysis), biochemistry (biosynthesis, molecular biology, genetics, evolution), physiology, taxonomy, and ecology. Clearly presents to the reader the array of data, ideas, insights and historical disagreements that have been accumulated during the past half century. An emphasis is placed on the role of insect hydrocarbons in chemical communication, especially among the social insects. Includes the first review on the chemical synthesis of insect hydrocarbons. The material presented is a major resource for current researchers and a source of ideas for n

This book focuses on the theory of phonon interactions in nanoscale structures with particular emphasis on modern electronic and optoelectronic devices. The continuing progress in the fabrication of semiconductor nanostructures with lower dimensional features has led to devices with enhanced functionality and even novel devices with new operating principles. The critical role of phonon effects in such semiconductor devices is well known. There is therefore a great need for a greater awareness and understanding of confined phonon effects. A key goal of this book is to describe tractable models of confined phonons and how these are applied to calculations of basic properties and phenomena of semiconductor heterostructures. The level of presentation is appropriate for undergraduate and graduate students in physics and engineering with some background in quantum mechanics and solid state physics or devices. A basic understanding of electromagnetism and classical acoustics is assumed.

Punishment is the common response to crime and deviance in all societies. However, its particular form and purpose are also linked to specific features of the structure of these societies at a particular time and place. Through a comparative historical analysis of punishment, this 2005 book is designed to identify and examine the sources of similarity and differences in types of economic punishments, incapacitation devices and structures, and lethal and non-lethal forms of corporal punishment over time and place. We will look closely at punishment responses to crime and deviance across different regions of the world and in specific countries like the United States, China, and Saudi Arabia. It is hoped that the reader will gain an appreciation for both the universal and context-specific nature of punishment and its use for purposes of social control, social change, and the elimination of threat to the prevailing authorities.

Punishment is the common response to crime and deviance in all societies. However, its particular form and purpose are also linked to specific features of the structure of these societies at a particular time and place. Through a comparative historical analysis of punishment, this 2005 book is designed to identify and examine the sources of similarity and differences in types of economic punishments, incapacitation devices and structures, and lethal and non-lethal forms of corporal punishment over time and place. We will look closely at punishment responses to crime and deviance across different regions of the world and in specific countries like the United States, China, and Saudi Arabia. It is hoped that the reader will gain an appreciation for both the universal and context-specific nature of punishment and its use for purposes of social control, social change, and the elimination of threat to the prevailing authorities.

This book focuses on the theory of phonon interactions in nanoscale structures with particular emphasis on modern electronic and optoelectronic devices. The continuing progress in the fabrication of semiconductor nanostructures with lower dimensional features has led to devices with enhanced functionality and even novel devices with new operating principles. The critical role of phonon effects in such semiconductor devices is well known. There is therefore a great need for a greater awareness and understanding of confined phonon effects. A key goal of this book is to describe tractable models of confined phonons and how these are applied to calculations of basic properties and phenomena of semiconductor heterostructures. The level of presentation is appropriate for undergraduate and graduate students in physics and engineering with some background in quantum mechanics and solid state physics or devices. A basic understanding of electromagnetism and classical acoustics is assumed.

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

Why is the ocean important? Why do people study it? Find out about protecting the ocean and its plants and animals in this BBC Earth reader. The Ladybird Do You Know? graded readers series comprises a range of non-fiction STEM titles for young learners of English. Covering a variety of topics, Do You Know? adopts an enquiry-based approach, and includes motivating video content, project work and critical thinking activities to develop students' linguistic and twenty-first century skills.Recommended for children aged 7+, there are four levels progressing from CEFR level Pre-A1 to level A2. Each reader is accompanied by online video content, audio, video and comprehension activities, and suggestions for project work. Protecting the Ocean, a Level 4 Reader, is A2 in the CEFR framework and supports YLE Flyers exams.The longer text is made up of sentences with up to three clauses, more complex past and future tense structures, modal verbs and a wider variety of conjunctions.

The book is an introduction to some of the 1967–1974 results and techniques in classical lattice statistical mechanics. It is written in the language of probability theory rather than that of physics, and is thus aimed primarily at mathematicians who might have little or no background in physics. This area of statistical mechanics is presently enjoying a rapid growth and the book should allow a graduate student or research mathematician to find out what is happening in it. The book is self-contained except for some basic concepts of probability theory, and can be read by any undergraduate student in mathematics who has a reasonable background in probability.

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990. The area of symplectic geometry has developed rapidly in the past ten years with major new discoveries that were motivated by and have provided links with many other subjects such as dynamical systems, topology, gauge theory, mathematical physics and singularity theory. The conference brought together a number of leading experts in these areas of mathematics. The contributions to this volume reflect the richness of the subject and include expository papers as well as original research. They will be an essential source for all research mathematicians in symplectic geometry.

This book, first published in 2000, is based on the modern conceptual understanding of crystal fields. It provides readers with clear instructions and a set of computer programs for the phenomenological analysis of energy spectra of magnetic ions in solids. The text clarifies several issues that have historically produced confusion in this area, particularly the effects of covalency and ligand polarization on the energy spectra of magnetic ions. Readers are shown how to employ a hierarchy of parametrized models to extract as much information as possible from observed lanthanide and actinide spectra. This book of crystal field theory describes all of the available phenomenological models, together with the conceptual and computational tools necessary for their use. It will be of particular interest to graduate students and researchers working in the development of opto-electronic systems and magnetic materials.