Mathematics of Discrete Structures for Computer Science

Knowledge of the structure of the cosmos, Plato suggests, is important in organizing a human community which aims at happiness. This book investigates this theme in Plato's later works, the Timaeus, Statesman, and Laws. Dominic J. O'Meara proposes fresh readings of these texts, starting from the religious festivals and technical and artistic skills in the context of which Plato elaborates his cosmological and political theories, for example the Greek architect's use of models as applied by Plato in describing the making of the world. O'Meara gives an account of the model of which Plato's world is an image; of the mathematics used in producing the world; and of the relation between the cosmic model and the political science and legislation involved in designing a model state in the Laws. Non-specialist scholars and students will be able to access and profit from the book.

Astronomer and philosopher Sir John Herschel (1792–1871), the son of William and the nephew of Caroline, published his 1833 Treatise on Astronomy in the 'Cabinet Cyclopaedia' series of which the first volume had been his enormously successful Preliminary Discourse on the Study of Natural Philosophy. He is regarded as the founder of the philosophy of science, and made contributions in many fields including mathematics, the newly discovered process of photography, and the botany of southern Africa, which he studied while making astronomical observations of the southern hemisphere, and where he was visited by Darwin and Fitzroy on the Beagle voyage. It was however as the natural successor to his father's astronomical studies that he is best remembered, and this book, which is written for the interested lay person, places strong emphasis on the importance of accurate observation and on avoiding preconceptions or hypotheses not based on such observation.

This book analyzes the links between political economics, governance structures and the distribution of political power in economic policy making. The book theoretically explains and empirically quantifies these interactions. The analysis includes both public good policies and redistributive policies. Part I of the book presents the conceptual foundations of political-economic bargaining and interest group analysis. After presenting the underlying theory, Part II of the book examines ideology, prescription and political power coefficients; Part III analyzes a number of specific structures; and Part IV presents a framework for political econometrics with a number of empirical applications and testable hypotheses. In all four parts of the book, four analytical dimensions of public policy are distinguished: governance structures, political economy, mechanism design and incidence.

This book analyzes the links between political economics, governance structures and the distribution of political power in economic policy making. The book theoretically explains and empirically quantifies these interactions. The analysis includes both public good policies and redistributive policies. Part I of the book presents the conceptual foundations of political-economic bargaining and interest group analysis. After presenting the underlying theory, Part II of the book examines ideology, prescription and political power coefficients; Part III analyzes a number of specific structures; and Part IV presents a framework for political econometrics with a number of empirical applications and testable hypotheses. In all four parts of the book, four analytical dimensions of public policy are distinguished: governance structures, political economy, mechanism design and incidence.

Intended for plant biologists with vast amounts of field data to sort and understand, and also for computer scientists interested in the tools and systems available for plant research, this text prese

As one of the biggest names in contemporary architecture, engineer-cum-architect Santiago Calatrava is internationally famous for the conception and masterful execution of structures akin to high art.

This work brings together critical theorists, artists, and poets using time and temporality as the conceptual framework for investigating a diverse array of experiences and structures of oppression an

This reference book explains the current state of research on contemporary methods and procedures for dealing with historic timber structures. It summarizes the results of a buildings researchers' con

Presenting both classical and state-of-the-art design and analysis techniques for earthen structures, this book provides the fundamentals of foundation engineering. It covers basic soil mechanics, and

Anchors are primarily used in construction of foundations of earth-supported and earth-retaining structures. The fundamental reason for using earth anchors in construction is to transmit the outwardly

Old and New provides a comprehensive overview of intelligent approaches for working with existing building stock. Presented in this volume are everyday projects such as the revitalizing of structures

Globalization and the financial crisis emphasize the problems caused by worldwide banking structures and ask for a reassessment of groups development strategies. This book discusses the impact of the

This book discusses analytical tools for designing energy efficient and lightweight structures that embody the concept of tensegrity. The book provides both static and dynamic analysis of special ten

Setting out design theory for concrete elements and structures and illustrating the practical applications of the theory, the third edition of this popular textbook has been extensively rewritten and

Casablanca is a city of international renown, not least because of its urban structures and features. Celebrated by colonial writers, filmed by Hollywood, magnet for Europeans and Moroccans, Casablan

In light of the growing interest in design and synthesis of building blocks for the self-assembly of complex structures, this book addresses at the field of self-assembly from a theoretical perspecti

This book explains devolution today in terms of the evolution of past structures of government in the component parts of the United Kingdom. Available in paperback for the first time, it highlights th

Part of a 6 level series of readers for children learning English, which provides a variety of fiction and non-fiction titles, this work provides reinforcement of the basic structures and vocabulary c

Part of a series on writing in education and teaching and the development of structures for the promotion of writing, this collection of twenty essays on the use of writing in knowledge communities ex

Suitable for advanced undergraduates and graduate students in mathematics, this introduction to topological groups presumes familiarity with the elementary concepts of set theory, elements of function

This book diagnoses Cambodian teaching quality and presents policy options for reform. Through classroom observation, assessments of mathematics and pedagogical content knowledge, and surveys of teach

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, che

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, che

Kibble (theoretical physics, Imperial College London) and Berkshire (mathematics, Imperial College) cover fundamentals of classical mechanics in this text for undergraduate students of physics and app

Charalambides (mathematics, U. of Athens, Greece) presents a textbook for introductory to intermediate courses in enumerative combinatorics. Beginning with the basic counting principles of addition an

In many problems of applied mathematics, science, engineering or economics, an energy expenditure or its analogue can be approximated by upper and lower bounds. This book provides a unified account of the theory required to establish such bounds, by expressing the governing conditions of the problem, and the bounds, in terms of a saddle functional and its gradients. There are several features, including a chapter on the Legendre dual transformation and some of its singularities. Many substantial examples and exercises are included, especially from the mechanics of fluids, elastic and plastic solids and from optimisation theory. The saddle functional viewpoint gives the book a wide scope. The treatment is straightforward, the only prerequisite being a basic knowledge of the calculus of variations. Part of the book is based on final-year undergraduate courses. This is developed into an account which will interest a wide range of students and professionals in applied mathematics, engineer

For Grades 3-6, this hardcover resource contains explanations of key mathematical content, with directions to the Everyday Mathematics® games.

A grasp of the precision, beauty, and complexity of mathematics requires an understanding of some of the subject's technical aspects. The real number system provides an ideal framework for cultivating

This book presents efficient uncertainty quantification schemes following meta-model-based approaches for stochasticity in material and geometric parameters of laminated composite structures. Several

Contains 55 contributions addressing the designing, making, and understanding of nanotube-based materials, structures, and devices for virtually any possible application. Contributions address topics

Indispensable for every home, library, and office, The Knowledge Book distills thousands of years of humankind’s most significant ideas and achievements? explains how they are linked and why they are important?and packs everything into a single, irresistibly readable volume. The richly illustrated pages burst with essential facts from all major fields of knowledge: science, technology, philosophy, art, religion, economics, and more.Loaded with cross-referencing, fact boxes, and other helpful features, the book is topically organized into five sections: Earth and Space; Mathematics and the Sciences; Politics and Economics; Religion, Philosophy, and Psychology; and the Arts. An introductory spread opens each section, summarizing its biggest ideas and discoveries. Time lines and fact boxes place events in the context of history, while sidebars add interesting details on processes, inventions, and artistic techniques. Famous personalities are introduced in highlighted columns. Finally, eac

Vinod (Fordham U., US) combines his enthusiasm for matrix algebra and for computer software to get the drudgery out of the way. He assumes readers have no experience of the open-source statistics soft

The bond valence model, a description of acid-base bonding, is widely used for analysing and modelling the structures and properties of solids and liquids. Unlike other models of inorganic chemical bo

The Workbook section of the SAM contains a variety of written exercises for chapters 1-15 that recombine the vocabulary and grammar structures presented in the corresponding chapter of the student tex

Street gangs and studies of street gangs have been part of the architecture of American urban and suburban life for decades. Only fairly recently have scholars analyzed the structures and operations o

The analysis and design of structures subjected to time-dependent dynamic loads are explained by Paz (U. of Louisville) and Leigh (U. of Central Florida) at a level suitable for advanced undergraduate

A unique overview of Portuguese oceanic expansion between 1400 and 1800, the essays in this volume treat a wide range of subjects - economy and society, politics and institutions, cultural configurations and comparative dimensions - and radically update data and interpretations on the economic and financial trends of the Portuguese Empire. Interregional networks are analysed in a substantial way. Patterns of settlement, political configurations, ecclesiastical structures, and local powers are put in global context. Language and literature, the arts, and science and technology are revisited with refreshing and innovative approaches. The interaction between Portuguese and local people is studied in different contexts, while the entire imperial and colonial culture of the Portuguese world is looked at synthetically for the first time. In short, this book provides a broad understanding of the Portuguese Empire in its first four centuries as a factor in world history and as a major componen

Materials science has emerged as one of the central pillars of the modern physical sciences and engineering, and is now even beginning to claim a role in the biological sciences. A central tenet in the analysis of materials is the structure-property paradigm, which proposes a direct connection between the geometric structures within a material and its properties. The increasing power of high-speed computation has had a major impact on theoretical materials science and has permitted the systematic examination of this connection between structure and properties. In this graduate textbook, Rob Phillips examines the various methods that have been used in the study of crystals, defects and microstructures and that have made such computations possible. A second key theme is the presentation of recent efforts that have been developed to treat problems involving either multiple spatial or temporal scales simultaneously.

Materials science has emerged as one of the central pillars of the modern physical sciences and engineering, and is now even beginning to claim a role in the biological sciences. A central tenet in the analysis of materials is the structure-property paradigm, which proposes a direct connection between the geometric structures within a material and its properties. The increasing power of high-speed computation has had a major impact on theoretical materials science and has permitted the systematic examination of this connection between structure and properties. In this graduate textbook, Rob Phillips examines the various methods that have been used in the study of crystals, defects and microstructures and that have made such computations possible. A second key theme is the presentation of recent efforts that have been developed to treat problems involving either multiple spatial or temporal scales simultaneously.

Working with data is a foundational concept not only for mathematics, but also for understanding the world around us. Readers will gain exposure to principles of measurement, such as measuring length