Mathematics of Discrete Structures for Computer Science

The two volumes that comprise this work provide a comprehensive guide and source book on the marine use of composite materials. This first volume, Fundamental Aspects, provides a rigourous development of theory. Areas covered include materials science, environmental aspects, production technology, structural analysis and the role of standard test procedures. These volumes will provide an introduction to this important and fast-growing area for students and researchers in naval architecture and maritime engineering. It will also be of value to practising engineers as a comprehensive reference book.

Morphology is particularly challenging, because it is pervaded by irregularity and idiosyncrasy. This book is a study of word structure using a specific theoretical framework known as 'Network Morphology'. It describes the systems of rules which determine the structure of words by construing irregularity as a matter of degree, using examples from a diverse range of languages and phenomena to illustrate. Many languages share common word building strategies and many diverge in interesting ways. These strategies can be understood by distinguishing different notions of 'default'. The Network Morphology philosophy promotes the use of computational implementation to check theories. The accompanying website provides the computer coded version of the Network Morphology model of word structure for readers to test, customize and develop. This book will be a valuable contribution to the fields of linguistic typology and morphology and will be welcomed by researchers and graduate students in these

In this volume, Ozgur Koca offers a comprehensive survey of Islamic accounts of causality and freedom from the medieval to the modern era, as well as contemporary relevance. His book is an invitation for Muslims and non-Muslims to explore a rich, but largely forgotten, aspect of Islamic intellectual history. Here, he examines how key Muslim thinkers, such as Ibn Sina, Ghazali, Ibn Rushd, Ibn Arabi, Suhrawardi, Jurjani, Mulla Sadra and Nursi, among others, conceptualized freedom in the created order as an extension of their perception of causality. Based on this examination, Koca identifies and explores some of the major currents in the debate on causality and freedom. He also discusses the possible implications of Muslim perspectives on causality for contemporary debates over religion and science.

This book is about the methods used for unifying different scientific theories under one all-embracing theory. The process has characterized much of the history of science and is prominent in contemporary physics; the search for a 'theory of everything' involves the same attempt at unification. Margaret Morrison argues that, contrary to popular philosophical views, unification and explanation often have little to do with each other. The mechanisms that facilitate unification are not those that enable us to explain how or why phenomena behave as they do. A feature of this book is an account of many case studies of theory unification in nineteenth- and twentieth-century physics and of how evolution by natural selection and Mendelian genetics were unified into what we now term evolutionary genetics.

The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to the definition of arithmetic differential operators on this field. Buium's theory of arithmetic jet spaces is then developed succinctly in order to define arithmetic operators in general. Features of the book include a comparison of the behaviour of these operators over the p-adic integers and their behaviour over the unramified completion, and a discussion of the relationship between characteristic functions of p-adic discs and arithmetic differential operators that disappears as soon as a single root of unity is adjoined to the p-adic integers. This book is essential reading for researchers and graduate students who want a first introduction to arithmetic differential operators over the p-adic integers.

The IAU Centenary Symposium was held at its General Assembly in Vienna in 2018. It starts with plenary lectures, by Malcolm Longair on 100 years of astronomy, astrophysics and cosmology, and by Catherine Cesarsky, who reflects on a century of IAU history. There follows reminiscences from past IAU presidents and general secretaries and presentations on various aspects of IAU history, including some of the famous astronomers who served the Union. The volume then examines the relations between the IAU and different geographical regions, including the issues relating to the Central Powers after World War I, and the 'China crisis', when China withdrew from the Union in 1960 and was absent for two decades. The IAU's internal structures and organization are reviewed, along with trends in astronomical publishing and astronomical education. IAU S349 finishes with a vision of the IAU's future from its current president, Ewine van Dishoeck.

How can fragmented, divided societies that are not immediately compatible with centralised statehood best adjust to state structures? This book employs both comparative constitutional law and comparative politics, as it proposes the idea of a 'constituent process', whereby public participation in constitution making plays a positive role in state building. This can help to foster a sense of political community and produce a constitution that enhances the legitimacy and effectiveness of state institutions because a liberal-local hybrid can emerge to balance international liberal practices with local customary ones. This book represents a sustained attempt to examine the role that public participation has played during state building and the consequences it has had for the performance of the state. It is also the first attempt to conduct a detailed empirical study of the role played by the liberal-local-hybrid approach in state building.

How can fragmented, divided societies that are not immediately compatible with centralised statehood best adjust to state structures? This book employs both comparative constitutional law and comparative politics, as it proposes the idea of a 'constituent process', whereby public participation in constitution making plays a positive role in state building. This can help to foster a sense of political community and produce a constitution that enhances the legitimacy and effectiveness of state institutions because a liberal-local hybrid can emerge to balance international liberal practices with local customary ones. This book represents a sustained attempt to examine the role that public participation has played during state building and the consequences it has had for the performance of the state. It is also the first attempt to conduct a detailed empirical study of the role played by the liberal-local-hybrid approach in state building.

Concerns have been expressed that gene patents might result in restricted access to research and health care. The exponential growth of patents claiming human DNA sequences might result in patent thickets, royalty stacking and, ultimately, a 'tragedy of the anti-commons' in genetics. The essays in this book explore models designed to render patented genetic inventions accessible for further use in research, diagnosis or treatment. The models include patent pools, clearing house mechanisms, open source structures and liability regimes. They are analysed by scholars and practitioners in genetics, law, economics and philosophy. The volume looks beyond theoretical and scholarly analysis by conducting empirical investigation of existing examples of collaborative licensing models. Those models are examined from a theoretical perspective and tested in a set of operational cases. This combined approach is unique in its kind and prompts well founded and realistic solutions to problems in the cu

Ancient Greece was a place of tremendous political experiment and innovation, and it was here too that the first serious political thinkers emerged. Using carefully selected case-studies, in this book Professor Cartledge investigates the dynamic interaction between ancient Greek political thought and practice from early historic times to the early Roman Empire. Of concern throughout are three major issues: first, the relationship of political thought and practice; second, the relevance of class and status to explaining political behaviour and thinking; third, democracy - its invention, development and expansion, and extinction, prior to its recent resuscitation and even apotheosis. In addition, monarchy in various forms and at different periods and the peculiar political structures of Sparta are treated in detail over a chronological range extending from Homer to Plutarch. The book provides an introduction to the topic for all students and non-specialists who appreciate the continued r

Ancient Greece was a place of tremendous political experiment and innovation, and it was here too that the first serious political thinkers emerged. Using carefully selected case-studies, in this book Professor Cartledge investigates the dynamic interaction between ancient Greek political thought and practice from early historic times to the early Roman Empire. Of concern throughout are three major issues: first, the relationship of political thought and practice; second, the relevance of class and status to explaining political behaviour and thinking; third, democracy - its invention, development and expansion, and extinction, prior to its recent resuscitation and even apotheosis. In addition, monarchy in various forms and at different periods and the peculiar political structures of Sparta are treated in detail over a chronological range extending from Homer to Plutarch. The book provides an introduction to the topic for all students and non-specialists who appreciate the continued r

Africa has the longest record - some 2.5 million years - of human occupation of any continent. For nearly all of this time, its inhabitants have made tools from stone and have acquired their food from its rich wild plant and animal resources. Archaeological research in Africa is crucial for understanding the origins of humans and the diversity of hunter-gatherer ways of life. This book is a synthesis of the record left by Africa's earliest hominin inhabitants and hunter-gatherers, combining the insights of archaeology with those of other disciplines, such as genetics and palaeo-environmental science. African evidence is critical to important debates, such as the origins of stone tool making, the emergence of recognisably modern forms of cognition and behaviour, and the expansion of successive hominins from Africa to other parts of the world.

Africa has the longest record - some 2.5 million years - of human occupation of any continent. For nearly all of this time, its inhabitants have made tools from stone and have acquired their food from its rich wild plant and animal resources. Archaeological research in Africa is crucial for understanding the origins of humans and the diversity of hunter-gatherer ways of life. This book is a synthesis of the record left by Africa's earliest hominin inhabitants and hunter-gatherers, combining the insights of archaeology with those of other disciplines, such as genetics and palaeo-environmental science. African evidence is critical to important debates, such as the origins of stone tool making, the emergence of recognisably modern forms of cognition and behaviour, and the expansion of successive hominins from Africa to other parts of the world.

A forbidden, secret affair proves that all's fair in love and science--from New York Times bestselling author Ali Hazelwood. Rue Siebert might not have it all, but she has enough a few friends she can always count on, the financial stability she yearned for as a kid, and a successful career as a biotech engineer at Kline, one of the most promising start-ups in the field of food science. Her world is stable, pleasant, and hard-fought. Until a hostile takeover and its offensively attractive front man threatens to bring it all crumbling down. Eli Killgore and his business partners want Kline, period. Eli has his own reasons for pushing this deal through--and he's a man who gets what he wants. With one burning exception: Rue. The woman he can't stop thinking about. The woman who's off-limits to him. Torn between loyalty and an undeniable attraction, Rue and Eli throw caution out the lab and the boardroom windows. Their affair is secret, no-strings-attached, and has a built-in deadline: the

NOW IN PAPERBACK!When middle-school mishaps happen, five friends form the S.M.A.R.T. Squad and use their collective skills and the power of STEM to bring order to their school. Join Izzy Newton in the second adventure of this fun new fiction series, where science reigns supreme.With their first mystery solved and first-day jitters triumphantly behind them, Izzy and her pals―the Solving Mysteries and Revealing Truths Squad―start to settle in to the normal day-to-day at Atom Middle School. Izzy even works up the courage to try out for an all-boys sports team! Things are going well until a mysterious illness threatens to shut down the media center―and maybe the entire school. The S.M.A.R.T. Squad is on the case in a race to figure out what ails them. But that's not all. A pop-up science fair causes excitement and tension for the Squad. And Izzy's failure to speak up in her speech class feels like an obstacle she can't overcome. Can the girls pull together to solve the media center mystery

A unique guide to growing up perfectly weird and perfectly happy, by Dr Camilla Pang who was diagnosed with autism age 8 and was the youngest person and first writer of colour to win the Royal Society Science Book Prize for her book, Explaining Humans.FIND YOUR FEET. DISCOVER YOUR QUIRKS. GROW UP PERFECTLY WEIRD, PERFECTLY YOU.As a child Camilla loved patterns and putting things in order. She was obsessed with Stephen Hawking. And the only language she really understood was science. Diagnosed with autism age 8, Camilla saw the world very differently.But with science as her sidekick, she was able to translate ideas she could understand (like gravity, photosynthesis and algorithms) onto things she couldn't (like peer pressure, emotions and finding your voice).Today, Camilla is a scientist and an award-winning author, and she is here to share her scientific survival guide with you - so you can grow up with the courage to be yourself, no matter how different you feel or how tricky you migh

Emphasizing practical understanding over the technicalities of specific algorithms, this elegant textbook is an accessible introduction to the field of optimization, focusing on powerful and reliable convex optimization techniques. Students and practitioners will learn how to recognize, simplify, model and solve optimization problems - and apply these principles to their own projects. A clear and self-contained introduction to linear algebra demonstrates core mathematical concepts in a way that is easy to follow, and helps students to understand their practical relevance. Requiring only a basic understanding of geometry, calculus, probability and statistics, and striking a careful balance between accessibility and rigor, it enables students to quickly understand the material, without being overwhelmed by complex mathematics. Accompanied by numerous end-of-chapter problems, an online solutions manual for instructors, and relevant examples from diverse fields including engineering, data

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler–Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton–Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler–Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton–Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

Engaging the Disengaged addresses strategies and models of immersive teaching and learning that lead to successful schooling outcomes. The new Australian Curriculum emphasises the importance of improved educational participation. This book will equip pre-service teachers with the tools and strategies they need to successfully implement these priorities. Drawing together a diverse range of experts, this book offers innovative ways of thinking about student engagement. Addressing education across early primary, middle and secondary school levels, it explores how differences in culture, sexuality and wealth can alienate students, and examines challenges faced by schools in rural, remote and high-poverty settings. It also offers new ideas for engaging students in subjects such as mathematics, physical education and the arts. Contemporary, real-life case studies help connect theory to practice. Each chapter also includes learning objectives, further reading suggestions and a reflective clos

Continuum mechanics underlies many geological and geophysical phenomena, from earthquakes and faults to the fluid dynamics of the Earth. This interdisciplinary book provides geoscientists, physicists and applied mathematicians with a class-tested, accessible overview of continuum mechanics. Starting from thermodynamic principles and geometrical insights, the book surveys solid, fluid and gas dynamics. In later review chapters, it explores new aspects of the field emerging from nonlinearity and dynamical complexity and provides a brief introduction to computational modeling. Simple, yet rigorous, derivations are used to review the essential mathematics. The author emphasizes the full three-dimensional geometries of real-world examples, enabling students to apply this in deconstructing solid earth and planet-related problems. Problem sets and worked examples are provided, making this a practical resource for graduate students in geophysics, planetary physics and geology and a beneficial

The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings.

The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings.

Harmonic maps between smooth Riemannian manifolds play a ubiquitous role in differential geometry. Examples include geodesics viewed as maps, minimal surfaces, holomorphic maps and Abelian integrals viewed as maps to a circle. The theory of such maps has been extensively developed over the last 40 years, and has significant applications throughout mathematics. This 2001 book extends that theory in full detail to harmonic maps between broad classes of singular Riemannian polyhedra, with many examples being given. The analytical foundation is based on existence and regularity results which use the potential theory of Riemannian polyhedral domains viewed as Brelot harmonic spaces and geodesic space targets in the sense of Alexandrov and Busemann. The work sets out much material on harmonic maps between singular spaces and will hence serve as a concise source for all researchers working in related fields.

This collection explores the relevance of global trade law for data, big data and cross-border data flows. Contributing authors from different disciplines including law, economics and political science analyze developments at the World Trade Organization and in preferential trade venues by asking what future-oriented models for data governance are available and viable in the area of trade law and policy. The collection paints the broad picture of the interaction between digital technologies and trade regulation as well as provides in-depth analyses of critical to the data-driven economy issues, such as privacy and AI, and different countries' perspectives. This title is also available as Open Access on Cambridge Core.

Down by the meadow that blows wild and freeThere's a world full of wonders I want you to see... Great to read aloud and packed full of fun and humour, these stories help young readers aged 5+ to understand the interconnectedness of nature Lively tales told in rhyming verse are followed up with non-fiction explainers which summarise the science behind each story Written by science writer and poet Gabby Dawnay, each read-aloud story celebrates everyday miracles in a woodland. 5 minute stories include:- The Mystery of Mushrooms- The Song of the Deer- The Flight of the Starlings- The Magical Metamorphosis of Frogs- The Dance of the HoneybeeAccessible 5 minute story format· Each story introduces a key scientific topic, starring a sweet, woodland character, from the lifecycle of a mushroom to photosynthesis· Each story ends with a non-fiction information page to explain more about what you've seen in each story Words of praise for this book:"A gift to inform and delight the youngest nature l

The work of women philosophers in the early modern period has traditionally been overlooked, yet their writing on topics such as reality, time, mind and matter holds valuable lessons for our understanding of metaphysics and its history. This volume of new essays explores the work of nine key female figures: Bathsua Makin, Anna Maria van Schurman, Elisabeth of Bohemia, Margaret Cavendish, Anne Conway, Damaris Cudworth Masham, Mary Astell, Catharine Trotter Cockburn, and Émilie Du Châtelet. Investigating issues from eternity to free will and from body to natural laws, the essays uncover long-neglected perspectives and demonstrate their importance for philosophical debates, both then and now. Combining careful philosophical analysis with discussion of the intellectual and historical context of each thinker, they will set the agenda for future enquiry and will appeal to scholars and students of the history of metaphysics, science, religion and feminism.

The work of women philosophers in the early modern period has traditionally been overlooked, yet their writing on topics such as reality, time, mind and matter holds valuable lessons for our understanding of metaphysics and its history. This volume of new essays explores the work of nine key female figures: Bathsua Makin, Anna Maria van Schurman, Elisabeth of Bohemia, Margaret Cavendish, Anne Conway, Damaris Cudworth Masham, Mary Astell, Catharine Trotter Cockburn, and Émilie Du Châtelet. Investigating issues from eternity to free will and from body to natural laws, the essays uncover long-neglected perspectives and demonstrate their importance for philosophical debates, both then and now. Combining careful philosophical analysis with discussion of the intellectual and historical context of each thinker, they will set the agenda for future enquiry and will appeal to scholars and students of the history of metaphysics, science, religion and feminism.

Geoffrey Chaucer is the best-known and most widely read of all medieval British writers, famous for his scurrilous humour and biting satire against the vices and absurdities of his age. Yet he was also a poet of passionate love, sensitive to issues of gender and sexual difference, fascinated by the ideological differences between the pagan past and the Christian present, and a man of science, knowledgeable in astronomy, astrology and alchemy. This concise book is an ideal starting point for study of all his major poems, particularly The Canterbury Tales, to which two chapters are devoted. It offers close readings of individual texts, presenting various possibilities for interpretation, and includes discussion of Chaucer's life, career, historical context and literary influences. An account of the various ways in which he has been understood over the centuries leads into an up-to-date, annotated guide to further reading.

Geoffrey Chaucer is the best-known and most widely read of all medieval British writers, famous for his scurrilous humour and biting satire against the vices and absurdities of his age. Yet he was also a poet of passionate love, sensitive to issues of gender and sexual difference, fascinated by the ideological differences between the pagan past and the Christian present, and a man of science, knowledgeable in astronomy, astrology and alchemy. This concise book is an ideal starting point for study of all his major poems, particularly The Canterbury Tales, to which two chapters are devoted. It offers close readings of individual texts, presenting various possibilities for interpretation, and includes discussion of Chaucer's life, career, historical context and literary influences. An account of the various ways in which he has been understood over the centuries leads into an up-to-date, annotated guide to further reading.

The naturalist and geologist Charles Darwin (1809–82) ranks as one of the most influential scientific thinkers of all time. In the nineteenth century his ideas about the history and diversity of life - including the evolutionary origin of humankind - contributed to major changes in the sciences, philosophy, social thought and religious belief. The Cambridge Companion to Darwin has established itself as an indispensable resource for anyone teaching or researching Darwin's theories and their historical and philosophical interpretations. Its distinguished team of contributors examines Darwin's main scientific ideas and their development; Darwin's science in the context of its times; the influence of Darwinian thought in recent philosophical, social and religious debate; and the importance of Darwinian thought for the future of naturalist philosophy. For this second edition, coverage has been expanded to include two new chapters: on Darwin, Hume and human nature, and on Darwin's theories i

The naturalist and geologist Charles Darwin (1809–82) ranks as one of the most influential scientific thinkers of all time. In the nineteenth century his ideas about the history and diversity of life - including the evolutionary origin of humankind - contributed to major changes in the sciences, philosophy, social thought and religious belief. The Cambridge Companion to Darwin has established itself as an indispensable resource for anyone teaching or researching Darwin's theories and their historical and philosophical interpretations. Its distinguished team of contributors examines Darwin's main scientific ideas and their development; Darwin's science in the context of its times; the influence of Darwinian thought in recent philosophical, social and religious debate; and the importance of Darwinian thought for the future of naturalist philosophy. For this second edition, coverage has been expanded to include two new chapters: on Darwin, Hume and human nature, and on Darwin's theories i

The science of ecology and the practice of resource management are critical to our understanding of the Earth's ecosystems and our efforts to conserve them. This book attempts to bridge the gap between ecology and natural resource management and in particular, focuses on the discipline of plant ecology as a foundation for vegetation and wildlife management. It describes how concepts and approaches used by ecologists to study communities and ecosystems can be applied to their management. Guy R. McPherson and Stephen DeStefano emphasise the importance of thoughtfully designed and carefully conducted scientific studies to both the advancement of ecological knowledge and the application of techniques for the management of plant and animal populations. The book is aimed at natural resource managers, as well as graduate and advanced undergraduate students, who are familiar with fundamental ecological principles and who want to use ecological knowledge as a basis for the management of ecosyst

The science of ecology and the practice of resource management are critical to our understanding of the Earth's ecosystems and our efforts to conserve them. This book attempts to bridge the gap between ecology and natural resource management and in particular, focuses on the discipline of plant ecology as a foundation for vegetation and wildlife management. It describes how concepts and approaches used by ecologists to study communities and ecosystems can be applied to their management. Guy R. McPherson and Stephen DeStefano emphasise the importance of thoughtfully designed and carefully conducted scientific studies to both the advancement of ecological knowledge and the application of techniques for the management of plant and animal populations. The book is aimed at natural resource managers, as well as graduate and advanced undergraduate students, who are familiar with fundamental ecological principles and who want to use ecological knowledge as a basis for the management of ecosyst

Originally published in 1969, this informative textbook is the second edition of the second part of a two-volume set, which explores the subject of statistics in full, from elementary to advanced level. Primarily aimed at university students as a course of self-study, this second part focuses on advanced statistics and contains multiple examples and exercises, predominantly taken from past examination papers so as to meet the requirements of examinations at the time of publication. Chapters cover all of the key topics expected of an advanced-level statistics course; chapter titles include, 'Location and dispersion', 'The binomial distribution' and 'Samples and significance'. Notably, at the end of the book a glossary summarising the terms and formulae is included for reference. This numerical, experimental and practical book will be of great value to scholars of mathematics as well as to anyone with an interest in physics, economics and the history of education.

Originally published in 1958, this informative textbook is the first part of a two-volume set, which explores the subject of statistics in full, from elementary to advanced level. Primarily aimed at school students as a course of self-study, this first part focuses on the elementary and contains multiple examples and exercises, predominantly taken from past examination papers so as to meet the requirements of examinations at the time of publication. Chapters cover all of the key topics expected of an elementary-level statistics course; chapter titles include, 'Frequency distributions', 'Averages' and 'The analysis of a time-series'. Notably, the more difficult sections are marked with asterisks and tables of logarithms, antilogarithms, squares and square roots are included for reference. This 'numerical, experimental and practical' book will be of great value to scholars of mathematics as well as to anyone with an interest in physics, economics and the history of education.

Convex polytopes are the analogues in space of any dimension of convex plane polygons and of convex polyhedra in ordinary space. This book describes a fresh approach to the classification of these objects according to their symmetry properties, based on ideas of topology and transformation group theory. Although there is considerable agreement with traditional treatments, a number of new concepts emerge that present classical ideas in a quite new way. For example, the family of regular convex polytopes is extended to the family of 'perfect polytopes'. Thus the familiar set of five Platonic polyhedra is replaced by the less familiar set of nine perfect polyhedra. Among the many unsolved problems that arise, that of finding all perfect polytopes, and more generally all perfect convex bodies, is perhaps the most attractive. This book will be of value to specialists and graduate students in pure mathematics, especially those studying symmetry theory, convex bodies, and polytopes.

In this concise critical survey, Professor Donoghue looks at Swift's whole output, and expresses a fresh sense of his literary character. In particular, he questions the widespread view that Swift is to be understood in terms of irony, persona or mask. He points out, for instance, that Swift's irony is not continuous, and that his sense of form is not ours. We should not see him as producing elaborate artistic structures, but as meeting particular needs which forced themselves upon him. We need also to identify the 'gestures' through which Swift revealed his characteristic mental attitudes, and behind them to sense his general life-stance; to understand his devices - such as the choice and change of perspective; his deeper pre-occupations - such as the relationship between the body, the mind and the soul; his attitude to and use of language; his conception of the nature of humanity; the characteristics of his verse.

Morality is one of the fundamental structures of any society, enabling complex groups to form, negotiate their internal differences and persist through time. In the first book-length study of Roman popular morality, Dr Morgan argues that we can recover much of the moral thinking of people across the Empire. Her study draws on proverbs, fables, exemplary stories and gnomic quotations, to explore how morality worked as a system for Roman society as a whole and in individual lives. She examines the range of ideas and practices and their relative importance, as well as questions of authority and the relationship with high philosophy and the ethical vocabulary of documents and inscriptions. The Roman Empire incorporated numerous overlapping groups, whose ideas varied according to social status, geography, gender and many other factors. Nevertheless it could and did hold together as an ethical community, which was a significant factor in its socio-political success.

Morality is one of the fundamental structures of any society, enabling complex groups to form, negotiate their internal differences and persist through time. In the first book-length study of Roman popular morality, Dr Morgan argues that we can recover much of the moral thinking of people across the Empire. Her study draws on proverbs, fables, exemplary stories and gnomic quotations, to explore how morality worked as a system for Roman society as a whole and in individual lives. She examines the range of ideas and practices and their relative importance, as well as questions of authority and the relationship with high philosophy and the ethical vocabulary of documents and inscriptions. The Roman Empire incorporated numerous overlapping groups, whose ideas varied according to social status, geography, gender and many other factors. Nevertheless it could and did hold together as an ethical community, which was a significant factor in its socio-political success.