Mathematics of Discrete Structures for Computer Science

Ideal theory is important not only for the intrinsic interest and purity of its logical structure but because it is a necessary tool in many branches of mathematics. In this introduction to the modern theory of ideals, Professor Northcott assumes a sound background of mathematical theory but no previous knowledge of modern algebra. After a discussion of elementary ring theory, he deals with the properties of Noetherian rings and the algebraic and analytical theories of local rings. In order to give some idea of deeper applications of this theory the author has woven into the connected algebraic theory those results which play outstanding roles in the geometric applications.

Network science is the key to managing social communities, designing the structure of efficient organizations and planning for sustainable development. This book applies network science to contemporary social policy problems. In the first part, tools of diffusion and team design are deployed to challenges in adoption of ideas and the management of creativity. Ideas, unlike information, are generated and adopted in networks of personal ties. Chapters in the second part tackle problems of power and malfeasance in political and business organizations, where mechanisms in accessing and controlling informal networks often outweigh formal processes. The third part uses ideas from biology and physics to understand global economic and financial crises, ecological depletion and challenges to energy security. Ideal for researchers and policy makers involved in social network analysis, business strategy and economic policy, it deals with issues ranging from what makes public advisories effective

In the second edition of New Learning: Elements of a Science of Education, renowned authors Mary Kalantzis and Bill Cope explore the contemporary debates and challenges in education. In this time of dramatic social change, education represents significant possibilities and opportunities. Written in accessible and lively style, this book examines learners and their learning environments and considers how schools can prepare their students for the future. Featuring new classroom examples, case studies and excellent online resources at newlearningonline.com, this book strikes a balance between theoretical understandings and their practical applications. Fully revised and updated, the second edition and its companion website include greater coverage of educational psychology and cognitive science perspectives, the use of assessment in education and curriculum developments around the world. New Learning, Second Edition is an inspiring and comprehensive resource for pre-service and in-servic

The diagnosis of mental illness is frequently accompanied by sleep problems; conversely, people experiencing sleep problems may subsequently develop mental illness. Sleep and Mental Illness looks at this close correlation and considers the implications of research findings that have emerged in the last few years. Additionally, it surveys the essential concepts and practical tools required to deal with sleep and co-morbid psychiatric problems. The volume is divided into three main sections: basic science, neuroendocrinology, and clinical science. Included are over 30 chapters on topics such as neuropharmacology, insomnia, depression, dementia, autism, and schizophrenia. Relevant questionnaires for the assessment of sleep disorders, including quality-of-life measurement tools, are provided. There is also a summary table of drugs for treating sleep disorders. This interdisciplinary text will be of interest to clinicians working in psychiatry, behavioral sleep medicine, neurology, pulmonar

Creativity in Product Innovation describes a remarkable technique for improving the creativity process in product design. Certain 'regularities' in product development are identifiable, objectively verifiable and consistent for almost any kind of product. These regularities are described by the authors as Creativity Templates. This book describes the theory and implementation of these templates, showing how they can be used to enhance the creative process and thus enable people to be more productive and focused. Representing the culmination of years of research on the topic of creativity in marketing, the Creativity Templates approach has been recognised as a breakthrough in such journals as Science, Journal of Marketing Research, Management Science, and Technological Forecasting and Social Change. It has been successfully implemented through workshops in international companies including Philips Consumer Electronics, Ford Motor Co., Ogilvy & Mather Worldwide, Kodak, Coca-Cola and many

Creativity in Product Innovation describes a remarkable technique for improving the creativity process in product design. Certain 'regularities' in product development are identifiable, objectively verifiable and consistent for almost any kind of product. These regularities are described by the authors as Creativity Templates. This book describes the theory and implementation of these templates, showing how they can be used to enhance the creative process and thus enable people to be more productive and focused. Representing the culmination of years of research on the topic of creativity in marketing, the Creativity Templates approach has been recognised as a breakthrough in such journals as Science, Journal of Marketing Research, Management Science, and Technological Forecasting and Social Change. It has been successfully implemented through workshops in international companies including Philips Consumer Electronics, Ford Motor Co., Ogilvy & Mather Worldwide, Kodak, Coca-Cola and many

The central role of soil chemistry in the ecosystem and other disciplines is becoming increasingly important. For example the effects of the increased levels of atmospheric carbon dioxide, and accelerated use of pesticides, on soil fertility has been a focus of much high-level debate. This text begins by defining the relationship between soil chemistry and other fields such as plant science and pollution science. A detailed description of the components of soils follows, including inorganic, mineral and organic matter. The book addresses cogent issues such as soil fertility and soil pollution. In a concluding chapter, a review of future analytic advances in the study of soil chemistry is given, emphasising the importance of the soil chemist in equitable and sustainable land use and agricultural policy. The book is an ideal starting point for the student undertaking undergraduate study in the environmental and soil sciences.

Acta Numerica surveys annually the most important developments in numerical mathematics and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important and timely developments in a manner accessible to the wider community of professionals with an interest in scientific computing. Acta Numerica volumes have proved to be a valuable tool not only for researchers and professionals wishing to develop their understanding of numerical techniques and algorithms and follow new developments, but also as an advanced teaching aid at colleges and universities. Many of the original articles have been used as the prime resource for graduate courses. This particular volume was originally published in 2002.

Acta Numerica surveys annually the most important developments in numerical mathematics and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important and timely developments in a manner accessible to the wider community of professionals with an interest in scientific computing. Acta Numerica volumes have proved to be a valuable tool not only for researchers and professionals wishing to develop their understanding of numerical techniques and algorithms and follow new developments, but also as an advanced teaching aid at colleges and universities. Many of the original articles have been used as the prime resource for graduate courses. This particular volume was originally published in 2003.

Acta Numerica surveys annually the most important developments in numerical mathematics and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important and timely developments in a manner accessible to the wider community of professionals with an interest in scientific computing. Acta Numerica volumes have proved to be a valuable tool not only for researchers and professionals wishing to develop their understanding of numerical techniques and algorithms and follow new developments, but also as an advanced teaching aid at colleges and universities. Many of the original articles have been used as the prime resource for graduate courses. This particular volume was originally published in 2004.

The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. The most topical areas of current research are covered: valued fields, Hrushovski constructions (from model theory), algorithmic randomness, relative computability (from computability theory), strong forcing axioms and cardinal arithmetic, large cardinals and determinacy (from set theory), as well as foundational topics such as algebraic set theory, reverse mathematics, and unprovability. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.

This is an introduction to p-adic analysis which is elementary yet complete and which displays the variety of applications of the subject. Dr Schikhof is able to point out and explain how p-adic and 'real' analysis differ. This approach guarantees the reader quickly becomes acquainted with this equally 'real' analysis and appreciates its relevance. The reader's understanding is enhanced and deepened by the large number of exercises included throughout; these both test the reader's grasp and extend the text in interesting directions. As a consequence, this book will become a standard reference for professionals (especially in p-adic analysis, number theory and algebraic geometry) and will be welcomed as a textbook for advanced students of mathematics familiar with algebra and analysis.

Acta Numerica surveys annually the most important developments in numerical mathematics and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important and timely developments in a manner accessible to the wider community of professionals with an interest in scientific computing. Acta Numerica volumes have proved to be a valuable tool not only for researchers and professionals wishing to develop their understanding of numerical techniques and algorithms and follow new developments, but also as an advanced teaching aid at colleges and universities. Many of the original articles have been used as the prime resource for graduate courses. This particular volume was originally published in 2004.

Acta Numerica surveys annually the most important developments in numerical mathematics and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important and timely developments in a manner accessible to the wider community of professionals with an interest in scientific computing. Acta Numerica volumes have proved to be a valuable tool not only for researchers and professionals wishing to develop their understanding of numerical techniques and algorithms and follow new developments, but also as an advanced teaching aid at colleges and universities. Many of the original articles have been used as the prime resource for graduate courses. This particular volume was originally published in 2002.

Research on social networks has become a significant area of investigation in the social sciences, and social network concepts and tools are widely employed across many subfields within the field. This volume introduces political theorists and researchers to new theoretical, methodological, and substantive tools for extending political network research into new realms and revitalizing established domains. The authors synthesize new understandings of multimodal political networks, consisting of two or more types of social entities - voters, politicians, parties, events, organizations, nations - and the complex relations between them. They discuss ways to theorize about multimodal connections, methods for measuring and analyzing multimodal datasets, and how the results can reveal new insights into political structures and action. Several empirical applications demonstrate in great detail how multimodal analysts can detect and visualize political communities consisting of diverse social e

Research on social networks has become a significant area of investigation in the social sciences, and social network concepts and tools are widely employed across many subfields within the field. This volume introduces political theorists and researchers to new theoretical, methodological, and substantive tools for extending political network research into new realms and revitalizing established domains. The authors synthesize new understandings of multimodal political networks, consisting of two or more types of social entities - voters, politicians, parties, events, organizations, nations - and the complex relations between them. They discuss ways to theorize about multimodal connections, methods for measuring and analyzing multimodal datasets, and how the results can reveal new insights into political structures and action. Several empirical applications demonstrate in great detail how multimodal analysts can detect and visualize political communities consisting of diverse social e

Water justice is becoming an ever-more pressing issue in times of increasing water-based inequalities and discrimination. Megacities, mining, forestry, industry and agribusiness claim an increasingly large share of available surface and groundwater reserves. Water grabbing and pollution generate poverty and endanger ecosystems' sustainability. Beyond large, visible injustices, the book also unfolds the many 'hidden' water world injustices, subtly masked as 'rational', 'equitable' and 'democratic'. It features critical conceptual approaches, including analysis of environmental, social, cultural and legal issues surrounding the distribution and management of water. Illustrated with case studies of historic and contemporary water injustices and contestations around the world, the book lays new ground for challenging current water governance forms and unequal power structures. It also provides inspiration for building alternative water realities. With contributions from renowned scholars,

Ultrasound provides a unique diagnostic perspective in cerebrovascular disorders, with extremely high temporal resolution and excellent spatial display of extracranial arteries, brain structures and cerebral vessels. This comprehensive text covers the fundamentals of ultrasound physics, new technology, and clinical applications in all ages. It provides a firm grounding in hemodynamics and describes computational models for study of the cerebral circulation. Extracranial applications in assessing the carotid and vertebral arteries are discussed in detail, as are intracranial Doppler applications in stroke, subarachnoid hemorrhage, arteriovenous malformations, interventional and surgical procedures, and the detection and monitoring of cerebral microembolism. These and other topics, both clinical and technical, are presented by leading authorities in the field, with extensive illustrations, and tables are included for the standardized classification of cerebrovascular diseases based on i

Should we believe in God? In this new book, written for a new generation, the brilliant science writer and author of The God Delusion, explains why we shouldn't. Should we believe in God? Do we need

More than 125 gut-friendly recipes plus science-backed advice for wellness in body and mindThis game-changing cookbook will make you rethink how you eat.It turns out that gut health is the root of all

When a mysterious fairy arrives in the science room after school and tells it occupants they have magical potential, every one of the girls in the room becomes a magical girl! Then, the fairy asks for

An unforgettable year in the life of a visionary high school science teacher and his award-winning students, as they try to get into college, land a date for the prom, and possibly change the world.Fo

Ever since his family moved to Texas, nothing seems to be going right for Bertie. He manages to alienate most of the Science Squad at the first meeting before they even begin their project. And things

"For the first time, a historian of science draws evidence from across the world to show how humans and other animals are astonishingly similar when it comes to their feelings and the ways in which th

Char-Broil's Grill Yourself Skinny is for everyone who loves grilled foods and healthy eating. This is not a fad diet book but a collection of 130 nutritionally sound recipes that rely on science to p

What happens when a science geek and magic collide?Be careful what you wish for. Really. Because wishes are bad. Very bad. They can get you trapped in fantasy worlds full of killer bunny rabbits, evil

The concept of the new citizen is based on the notion that people are not born as citizens, but need to be educated and trained for the role. Rimmerman (public policy and political science, Hobart and

What does it mean to make life? This book focuses on one of the key questions for culture and science in both Shakespeare's time and our own. Shakespeare wrote A Midsummer Night's Dream during a perio

What does it mean to make life? This book focuses on one of the key questions for culture and science in both Shakespeare's time and our own. Shakespeare wrote A Midsummer Night's Dream during a perio

The authors of this book are a middle school librarian and a family and consumer science teacher. For the past ten years, the two have coordinated a community service day at their school. This guide l

Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today. Modular forms formed the inspiration for Langlands' conjectures and play an important role in the description of the cohomology of varieties defined over number fields. This collection of up-to-date articles originated from the conference 'Modular Forms' held on the Island of Schiermonnikoog in the Netherlands. A broad range of topics is covered including Hilbert and Siegel modular forms, Weil representations, Tannakian categories and Torelli's theorem. This book is a good source for all researchers and graduate students working on modular forms or related areas of number theory and algebraic geometry.

Dynamical systems is an area of intense research activity and one which finds application in many other areas of mathematics. This volume comprises a collection of survey articles that review several different areas of research. Each paper is intended to provide both an overview of a specific area and an introduction to new ideas and techniques. The authors have been encouraged to include a selection of open questions as a spur to further research. Topics covered include global bifurcations in chaotic o.d.e.s, knotted orbits in differential equations, bifurcations with symmetry, renormalization and universality, and one-dimensional dynamics. Articles include comprehensive lists of references to the research literature and consequently the volume will provide an excellent guide to dynamical systems research for graduate students coming to the subject and for research mathematicians.

This is a sequel to Dr Weir's undergraduate textbook on Lebesgue Integration and Measure (CUP. 1973) in which he provided a concrete approach to the Lebesgue integral in terms of step functions and went on from there to deduce the abstract concept of Lebesgue measure. In this second volume, the treatment of the Lebesgue integral is generalised to give the Daniell integral and the related general theory of measure. This approach via integration of elementary functions is particularly well adapted to the proof of Riesz's famous theorems about linear functionals on the classical spaces C (X) and LP and also to the study of topological notions such as Borel measure. This book will be used for final year honours courses in pure mathematics and for graduate courses in functional analysis and measure theory.

Understanding personal relationships throughout the life course is one of the most crucial issues in the behavioral and social sciences. This book brings together perspectives from different disciplines on individual development and personal relationships across the life span. The book addresses two pertinent dimensions of personal relationships: 1) structures of relationship networks (e.g. kin vs non-kin, peripheral vs intimate, short-term vs long-term) and 2) processes (i.e. change or stability) and outcomes of personal relationships across the life span. The book stimulates discussion of personal relationships as resources for and outcomes of individual development throughout the life course. Different qualities of personal relationships serve as catalysts for individual development. At the same time, relationship qualities reflect changes of developing individuals. The book does not give exclusive priority to one phase of the human life span. Rather, each chapter addresses social d

Understanding personal relationships throughout the life course is one of the most crucial issues in the behavioral and social sciences. This book brings together perspectives from different disciplines on individual development and personal relationships across the life span. The book addresses two pertinent dimensions of personal relationships: 1) structures of relationship networks (e.g. kin vs non-kin, peripheral vs intimate, short-term vs long-term) and 2) processes (i.e. change or stability) and outcomes of personal relationships across the life span. The book stimulates discussion of personal relationships as resources for and outcomes of individual development throughout the life course. Different qualities of personal relationships serve as catalysts for individual development. At the same time, relationship qualities reflect changes of developing individuals. The book does not give exclusive priority to one phase of the human life span. Rather, each chapter addresses social d

In this book, originally published in 1975, Dr Alan Hughes explores issues in the method of political psychology and the rather elusive concept of alienation as a sentiment, presenting a scale for the measurement of alienation as well as scales for measuring authoritarian personality tendency and ethnic bigotry. These scales are used to clarify the origin and nature of ethnic prejudice, particularly anti-Semitism. In presenting fresh research techniques and substantive discoveries, Dr Hughes show how survey data may be analysed to identify structures in political attitudes, for example varieties of radicalism, and the intricate bearing of disposition on individual political experience. A central argument is that political issues 'cluster' in such a way as to make nonsense of the notion of a single Left-Right dimension. This book is not confined to statistical analysis. Its aim is to combine reliable 'hard data' with case-studies which are both illustrative and suggestive and which put

John Barnes's collection of essays covers a variety of topics in sociology and anthropology, including lineage systems, social networks, colonialism, underlying assumptions of social science, and the significance of time in social analysis. Together they identify the author's particular view of social science: he is primarily interested in 'what really happens'. Rather than revamp articles written with a distinctive set of assumptions to bring them into line with current intellectual fashion, Professor Barnes has chosen to let them stand as they are, products of identifiable theoretical stance and modes of exposition. But introductory notes to each chapter set out the context in which the piece was originally written and draw attention to later publications and events that bear on it. An introduction discusses in detail the author's view of social science as the construction of models rather than a search for social laws, while the final chapter presents a model of the modelling proces

John Barnes's collection of essays covers a variety of topics in sociology and anthropology, including lineage systems, social networks, colonialism, underlying assumptions of social science, and the significance of time in social analysis. Together they identify the author's particular view of social science: he is primarily interested in 'what really happens'. Rather than revamp articles written with a distinctive set of assumptions to bring them into line with current intellectual fashion, Professor Barnes has chosen to let them stand as they are, products of identifiable theoretical stance and modes of exposition. But introductory notes to each chapter set out the context in which the piece was originally written and draw attention to later publications and events that bear on it. An introduction discusses in detail the author's view of social science as the construction of models rather than a search for social laws, while the final chapter presents a model of the modelling proces

This volume presents Professor Cohen's original interpretation of the revolution that marked the beginnings of modern science and set Newtonian science as the model for the highest level of achievement in other branches of science. It shows that Newton developed a special kind of relation between abstract mathematical constructs and the physical systems that we observe in the world around us by means of experiment and critical observation. The heart of the radical Newtonian style is the construction on the mind of a mathematical system that has some features in common with the physical world; this system s then modified when the deductions and conclusions drawn from it are tested against the physical universe. Using this system Newton was able to make his revolutionary innovations in celestial mechanics and, ultimately, create a new physics of central forces and the law of universal gravitation. Building on his analysis of Newton's methodology, Professor Cohen explores the fine structu

Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of exercises, some straightforward, some challenging, none uninteresting.