Mathematics of Discrete Structures for Computer Science

The last thirty years have seen great leaps forward in the subject of magnetoconvection. Computational techniques can now explain exotic nonlinear behaviour, transition to chaos and the formation of structures that can be observed on the surface of the Sun. Here, two leading experts present the current state of knowledge of the subject. They provide a mathematical and numerical treatment of the interactions between electrically conducting fluids and magnetic fields that lead to the complex structures and rich behaviour observed on the Sun and other stars, as well as in the interiors of planets like the Earth. The authors' combined analytical and computational approach provides a model for the study of a wide range of related problems. The discussion includes bifurcation theory, chaotic behaviour, pattern formation in two and three dimensions, and applications to geomagnetism and to the properties of sunspots and other features at the solar surface.

The Ozone Layer: A Philosophy of Science Perspective provides the first thorough and accessible history of stratospheric ozone, from the discovery of ozone in the nineteenth century to current investigations of the Antarctic ozone hole. Drawing directly on the extensive scientific literature, Christie uses the story of ozone as a case study for examining fundamental issues relating to the collection and evaluation of evidence, the conduct of scientific debate and the construction of scientific consensus. By linking key debates in the philosophy of science to an example of real-world science, the author not only provides an excellent introduction to the philosophy of science but also challenges many of its preconceptions. This accessible book will interest students and academics concerned with the history, philosophy and sociology of science, as well as having general appeal on this topic of contemporary relevance and concern.

Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach that enlightens difficult concepts and rewards effort. Calculus will continue to be regarded as a modern classic, ideal for honours students and mathematics majors, who seek an alternative to doorstop textbooks on calculus, and the more formidable introductions to real analysis.

Lebesgue integration is a technique of great power and elegance which can be applied in situations where other methods of integration fail. It is now one of the standard tools of modern mathematics, and forms part of many undergraduate courses in pure mathematics. Dr Weir's book is aimed at the student who is meeting the Lebesgue integral for the first time. Defining the integral in terms of step functions provides an immediate link to elementary integration theory as taught in calculus courses. The more abstract concept of Lebesgue measure, which generalises the primitive notions of length, area and volume, is deduced later. The explanations are simple and detailed with particular stress on motivation. Over 250 exercises accompany the text and are grouped at the ends of the sections to which they relate; notes on the solutions are given.

For nearly four decades, Trancework has been the definitive textbook for thousands of professionals undergoing training in the art and science of clinical hypnosis. Now in its 5th edition, this classi

Abe Kobo (1924-1993) was one of Japan's greatest postwar writers, widely recognized for his imaginative science fiction and plays of the absurd. However, he also wrote theoretical criticism for which

The three Science of Synthesis volumes on Biocatalysis in Organic Synthesis present a broad contemporary overview on the state-of-the-art in enzymatic methods for asymmetric synthesis suitable for aca

The three Science of Synthesis volumes on Biocatalysis in Organic Synthesis present a broad contemporary overview on the state-of-the-art in enzymatic methods for asymmetric synthesis suitable for aca

Abe Kobo (1924--1993) was one of Japan's greatest postwar writers, widely recognized for his imaginative science fiction and plays of the absurd. However, he also wrote theoretical criticism for which

Surveys are the principal source of data not only for social science, but for consumer research, political polling, and federal statistics. In response to social and technological trends, rates of sur

Surveys are the principal source of data not only for social science, but for consumer research, political polling, and federal statistics. In response to social and technological trends, rates of sur

Nominated in 1970 by the Academy of Sciences of the Azerbaijan SSR for an award for distinguished contributions to soil science, this translated Russian work presented the main theoretical concepts co

Part of the Art and Science of Photovoltaics seriesHigh-performing photovoltaic systems require a design that produces more electricity in kilowatt hours for less cost. The growing demand for such hi

Collection of review articles highlighting the top science and recent developments in the field of neurology.NOTE: Annals volumes are available for sale as individual books or as a journal. For inform

This book provides a brief overview of both classic and recent social science research in the area of social influence. It offers applications for the business leader for shaping organizational cultur

A textbook for a graduate or advanced undergraduate course for students of science and engineering who have at least an elementary knowledge of calculus. It introduces recent developments in chaos and

Complete, step-by-step instructions and assembly diagrams for making 3 striking 3-D models of star-shaped icosahedrons — 20-sided figures. Hours of creative entertainment for math, science and

Rain Liivoja explores why, and to what extent, armed forces personnel who commit offences abroad are prosecuted under their own country's laws. After clarifying several conceptual uncertainties in the doctrine of jurisdiction and immunities, he applies the doctrine to the extraterritorial deployment of service personnel. Comparing the law and practice of different states, the author shows the sheer breadth of criminal jurisdiction that countries claim over their service personnel. He argues that such claims disclose a discrete category of jurisdiction, with its own scope and rationale, which can be justified as a matter of international law. By distinguishing service jurisdiction as a distinct category, the analysis explains some of the peculiarities of military criminal law and also provides a basis for extending national criminal law to private military contractors serving the state. This book is essential for scholars and practitioners in international and criminal law, especially i

This book examines the theory and the practice of music, in relation to the writing of four major modernist figures: Walter Pater, Ezra Pound, James Joyce, and Gertrude Stein. Brad Bucknell argues that in the nineteenth century, music was often invoked as the paradigm of transcendent art. For the modernists, however, late nineteenth-century debates about music's powerful, but non-referential ability to make meaning became a significant focus for their written work. Bucknell examines modernist writers' relationship and engagement with music - from theories about music and musical-literary relations to the composition of music and libretti - to show how music actually became another complex trope deployed in modernism's justification of its own aesthetic practice. Bucknell's study investigates how music, as a discrete artistic mode of expression, and a recurring theme in the work of these four writers, reveals the intricate and varied nature of the modernist project.

In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for intrinsic delays, due to such things as gestation, maturation or transport. This book is concerned with one of the fundamental questions in the analysis of the effect of delays, namely determining whether they effect the stability of steady states. The analysis is presented for one or two such delays treated both as discrete, where an event which occurred at a precise time in the past has an effect now, and distributed, where the delay is averaged over the population's history. Both of these types occur in biological contexts. The method used to tackle these questions is linear stability analysis which leads to an understanding of the local stability. By avoiding global questions, the author has kept the mathematical prerequisites to a minimum, essentially advanced calculus and ordinary differential equations.

Quantum field theory forms the present theoretical framework for our understanding of the fundamental interactions of particle physics. This up-dated and expanded text examines gauge theories and their symmetries with an emphasis on their physical and technical aspects. Beginning with a new chapter giving a systematic introduction to classical field theories and a short discussion of their canonical quantization and the discrete symmetries C, P and T, the book provides a brief exposition of perturbation theory, the renormalization programme, and the use of the renormalization group equation. It then explores topics of current research interest including chiral symmetry and its breaking, anomalies, and low energy effective lagrangians and some basics of supersymmetry. A chapter on basics of the electroweak theory is now included. Professor Pokorski, a distinguished theoretical physicist, has presented here a self-contained text for graduate courses in physics; the only prerequisite is s

In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for intrinsic delays, due to such things as gestation, maturation or transport. This book is concerned with one of the fundamental questions in the analysis of the effect of delays, namely determining whether they effect the stability of steady states. The analysis is presented for one or two such delays treated both as discrete, where an event which occurred at a precise time in the past has an effect now, and distributed, where the delay is averaged over the population's history. Both of these types occur in biological contexts. The method used to tackle these questions is linear stability analysis which leads to an understanding of the local stability. By avoiding global questions, the author has kept the mathematical prerequisites to a minimum, essentially advanced calculus and ordinary differential equations.

Although the arts have been firmly planted in the Hong Kong school system since the 1950s, they are often sacrificed in place of core subjects and preparation for examinations. Drawing on over fourteen years of exploration and experience, Yau makes the case that arts are critical to cultivating creative mindsets, which are our best resource for innovating and responding to challenges in this complex world of sudden changes. Through case studies and conversations with practising artists and educators, this book demonstrates why arts and education, two normally discrete disciplines, should be broadly integrated into the local Hong Kong curriculum, and how this can be – and has been – achieved. This book is intended for policymakers, educators, arts heads, and artists. The volume will also appeal to readers curious about how and why the arts should be foundational to education and capacity building in the twenty-first century.

Although the arts have been firmly planted in the Hong Kong school system since the 1950s, they are often sacrificed in place of core subjects and preparation for examinations. Drawing on over fourteen years of exploration and experience, Yau makes the case that arts are critical to cultivating creative mindsets, which are our best resource for innovating and responding to challenges in this complex world of sudden changes. Through case studies and conversations with practising artists and educators, this book demonstrates why arts and education, two normally discrete disciplines, should be broadly integrated into the local Hong Kong curriculum, and how this can be – and has been – achieved.This book is intended for policymakers, educators, arts heads, and artists. The volume will also appeal to readers curious about how and why the arts should be foundational to education and capacity building in the twenty-first century.

The science of rheology and its applications have grown steadily. Although polymers dominated in the past, the applications to foods have become increasingly important over the last four decades. The complexity of food rheology has not only generated increased interest among academics, but it has also led to an increased recognition of its importance in the food industry. Emphasizing physics rather than mathematics, Polymer and Food Rheology: Volume 1, Applications to Single-Phase Systems focuses on rheological characteristics and properties of single substances and homogeneous mixtures. It introduces fundamental principles, types of flows, types of instruments, their theory, capabilities, limitations, and sources of error. Both sophisticated rheometers and simple devices and their uses are considered.- Discusses the types of material functions (properties) obtained from the different types of measurements and techniques: shear viscosity, normal stress differences, dynamic mechanical p

Looks at the science of coordination and provides exercises for improving agility and balance.

The study of the relationship between language and thought, and how this apparently differs between cultures and social groups, is a rapidly expanding area of enquiry. This book discusses the relationship between language and the mental organisation of knowledge, based on the results of a fieldwork project carried out in the Kingdom of Tonga in Polynesia. It challenges some existing assumptions in linguistics, cognitive anthropology and cognitive science and proposes a new foundational cultural model, 'radiality', to show how space, time and social relationships are expressed both linguistically and cognitively. A foundational cultural model is knowledge that is repeated in several domains and shared within a cultural homogeneous group. These knowledge structures are lenses through which we interpret the world and guide our behaviour. The book will be welcomed by researchers and students working within the fields of psycholinguistics, anthropological linguistics, cognitive anthropology

The modern view of causation can be traced back to the mechanistic science of Descartes, whose rejection of Aristotelian physics, with its concept of substantial forms, in favor of mechanical explanations was a turning-point in the history of philosophy. However the reasoning which led Descartes and other early moderns in this direction is not well understood. This book traces Descartes' groundbreaking theory of scientific explanation back to the mathematical demonstrations of Aristotelian mechanics and interprets these advances in light of the available arguments for and against substantial forms. It also examines how Descartes' new theory led him to develop a metaphysical foundation for his science that could avoid skeptical objections. It will appeal to a wide range of readers interested in the philosophy and science of the early modern period.

The modern view of causation can be traced back to the mechanistic science of Descartes, whose rejection of Aristotelian physics, with its concept of substantial forms, in favor of mechanical explanations was a turning-point in the history of philosophy. However the reasoning which led Descartes and other early moderns in this direction is not well understood. This book traces Descartes' groundbreaking theory of scientific explanation back to the mathematical demonstrations of Aristotelian mechanics and interprets these advances in light of the available arguments for and against substantial forms. It also examines how Descartes' new theory led him to develop a metaphysical foundation for his science that could avoid skeptical objections. It will appeal to a wide range of readers interested in the philosophy and science of the early modern period.

Acta Numerica is a high-impact factor, prestigious annual publication containing invited surveys by leading researchers in numerical mathematics and scientific computing. The surveys present overviews of developments in their area and provide techniques and analyses. It is essential reading for practitioners and researchers. This volume was originally published in 2007.

Acta Numerica is a high-impact factor, prestigious annual publication containing invited surveys by leading researchers in numerical mathematics and scientific computing. The surveys present overviews of developments in their area and provide techniques and analyses. It is essential reading for practitioners and researchers. This volume was originally published in 2007.

A fellow of Trinity College, Cambridge, and of the Royal Society, William Clifford (1845–79) made his reputation in applied mathematics, but his interests ranged far more widely, encompassing ethics, evolution, metaphysics and philosophy of mind. This posthumously collected two-volume work, first published in 1879, bears witness to the dexterity and eclecticism of this Victorian thinker, whose commitment to the most abstract principles of mathematics and the most concrete details of human experience resulted in vivid and often unexpected arguments. Volume 2 shows Clifford's thorough engagement with scientific thought as a method for illuminating ethical and moral questions. Essays such as 'Body and Mind', 'On the Scientific Basis of Morals' and 'The Ethics of Belief' all variously demonstrate Clifford's core tenet: that beliefs - whether they guide human action or scientific enquiry - 'can never suffer from investigation'.

Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, maths education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. They examined: the challenges of assessing student learning in ways that support instructional improvement; ethical issues related to assessment, including the impact of testing on urban and high-poverty schools; the different (and sometimes conflicting) needs of the different groups; and different frameworks, tools, and methods for assessment, comparing the kinds of information they offer about students' mathematical proficiency. This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowl

Testing matters! It can determine kids' and schools' futures. In a conference at the Mathematical Sciences Research Institute, mathematicians, maths education researchers, teachers, test developers, and policymakers gathered to work through critical issues related to mathematics assessment. They examined: the challenges of assessing student learning in ways that support instructional improvement; ethical issues related to assessment, including the impact of testing on urban and high-poverty schools; the different (and sometimes conflicting) needs of the different groups; and different frameworks, tools, and methods for assessment, comparing the kinds of information they offer about students' mathematical proficiency. This volume presents the results of the discussions. It highlights the kinds of information that different assessments can offer, including many examples of some of the best mathematics assessments worldwide. A special feature is an interview with a student about his knowl

The third edition of this introductory textbook for both science students and non-science majors has been brought completely up-to-date. It reflects recent scientific progress in the field, as well as advances in the political arena around climate change. As in previous editions, it is tightly focussed on anthropogenic climate change. The first part of the book concentrates on the science of modern climate change, including evidence that the Earth is warming and a basic description of climate physics. Concepts such as radiative forcing, climate feedbacks, and the carbon cycle are discussed and explained using basic physics and algebra. The second half of the book goes beyond the science to address the economics and policy options to address climate change. The book's goal is for a student to leave the class ready to engage in the public policy debate on the climate crisis.

The third edition of this introductory textbook for both science students and non-science majors has been brought completely up-to-date. It reflects recent scientific progress in the field, as well as advances in the political arena around climate change. As in previous editions, it is tightly focussed on anthropogenic climate change. The first part of the book concentrates on the science of modern climate change, including evidence that the Earth is warming and a basic description of climate physics. Concepts such as radiative forcing, climate feedbacks, and the carbon cycle are discussed and explained using basic physics and algebra. The second half of the book goes beyond the science to address the economics and policy options to address climate change. The book's goal is for a student to leave the class ready to engage in the public policy debate on the climate crisis.

Provides students with a solid foundation in climate science, with which to understand global warming, natural climate variations, and climate models. As climate models are one of our primary tools for predicting and adapting to climate change, it is vital we appreciate their strengths and limitations. Also key is understanding what aspects of climate science are well understood and where quantitative uncertainties arise. This textbook will inform the future users of climate models and the decision-makers of tomorrow by providing the depth they need, while requiring no background in atmospheric science and only basic calculus and physics. Developed from a course that the author teaches at UCLA, material has been extensively class-tested and with online resources of colour figures, Powerpoint slides, and problem sets, this is a complete package for students across all sciences wishing to gain a solid grounding in climate science.

The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.

Optimal Reliability Design, first published in 2000, provides a detailed introduction to systems reliability and reliability optimization. Techniques for maximizing system reliability are described, focusing on component reliability enhancement and redundancy arrangement. The authors present several case studies and show how optimization techniques are applied in practice. They also pay particular attention to finding methods that give the optimal trade-off between reliability and cost. The book begins with a review of key background material, and a discussion of a range of optimization models. The authors go on to cover optimization tools, such as heuristics, discrete optimization, nonlinear programming, mixed integer programming, optimal arrangement, and metaheuristic algorithms. They also describe the computational implementation of these tools. Many numerical examples are included, and the book contains over 180 homework exercises. It is suitable as a textbook for graduate-level co

Optimal Reliability Design, first published in 2000, provides a detailed introduction to systems reliability and reliability optimization. Techniques for maximizing system reliability are described, focusing on component reliability enhancement and redundancy arrangement. The authors present several case studies and show how optimization techniques are applied in practice. They also pay particular attention to finding methods that give the optimal trade-off between reliability and cost. The book begins with a review of key background material, and a discussion of a range of optimization models. The authors go on to cover optimization tools, such as heuristics, discrete optimization, nonlinear programming, mixed integer programming, optimal arrangement, and metaheuristic algorithms. They also describe the computational implementation of these tools. Many numerical examples are included, and the book contains over 180 homework exercises. It is suitable as a textbook for graduate-level co