Mathematics of Discrete Structures for Computer Science

AMERICAN GOVERNMENT AND POLITICS TODAY is known nationwide for its balanced, unbiased, and up-to-date coverage of constitutional, governmental, political, social, and economic structures and their pr

Intended for application developers familiar with SQL, this guide describes the files, memory structures, and processes that comprise an Oracle database, and explains the implementation of locking, co

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This richly illustrated book provides step-by-step instructions for the construction of over 30 different modular origami structures. The author describes basic folding techniques required to construc

Multiple comparisons are the comparisons of two or more treatments. These may be treatments of a disease, groups of subjects, or computer systems, for example. Statistical multiple comparison methods

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.

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.

A comprehensive review of cutting-edge solid state research, focusing on its prominent example - quantum dot nanostructures - this book features a broad range of techniques for fabrication of these nano-structured semiconductors and control of their quantum properties. Written by leading researchers, the book considers advanced III-V and II-VI semiconductor quantum dots (QDs) realized by self-assembly, lithography and chemical synthesis; novel QD structures in nanowires and graphene; and transport and optical methods for control of single QDs. Significant attention is given to manipulation of single spins and control of their magnetic environment, and generation of quantum light emitted by single dots in dielectric cavities and coupled to plasmons in metallic structures. It is a valuable resource for graduate students and researchers new to this field.

During 1996–7 MSRI held a full academic year program on Combinatorics, with special emphasis on the connections with other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry. The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which represents work done or presented at seminars during the program. It contains contributions on matroid bundles, combinatorial representation theory, lattice points in polyhedra, bilinear forms, combinatorial differential topology and geometry, Macdonald polynomials and geometry, enumeration of matchings, the generalized Baues problem, and Littlewood–Richardson semigroups. These expository articles, written by some of the most respected researchers in the field, will continue to be of use to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.

During 1996–7 MSRI held a full academic year program on Combinatorics, with special emphasis on the connections with other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry. The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which represents work done or presented at seminars during the program. It contains contributions on matroid bundles, combinatorial representation theory, lattice points in polyhedra, bilinear forms, combinatorial differential topology and geometry, Macdonald polynomials and geometry, enumeration of matchings, the generalized Baues problem, and Littlewood–Richardson semigroups. These expository articles, written by some of the most respected researchers in the field, will continue to be of use to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigo

This text addresses a number of technical skills in mathematics, physics, and specific areas of nuclear engineering that will prepare the student for optimum performance in any nuclear engineering or

Groceries, Stamps, nd Measuring Strips: Early Multiplication is one of five units in the Contexts for Learning Mathematics' Investigating Multiplication and Division (3 - 5) The focus of this unit is

Excellent text for upper-level undergraduate and graduate students shows how geometric and algebraic ideas met and grew together into an important branch of mathematics. Lucid coverage of vector field

Statistics is a subject of many uses and surprisingly few effective practitioners. The traditional road to statistical knowledge is blocked, for most, by a formidable wall of mathematics. The approach

An up-to-date text designed for undergraduate courses in control systems engineering and principles of automatic controls. Focuses on design and implementation rather than just the mathematics of cont

Ten years after publication of the popular first edition of this volume, the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interacti

The rapid advance of computer capabilities over the last two decades has opened up a new field of numerical simulations in which detailed physical models can be made to represent the most complex processes. IAU Symposium 270 reviews a wide range of topics relevant to computer modeling in the fields of interstellar gas dynamics, star formation and galactic dynamics. It includes numerical techniques for modeling physical processes such as self-gravitating, radiative magnetohydrodynamics, as well as novel hardware options for acceleration and a view into the future of computation. Observations of interstellar gas and star formation are also reviewed. This book is ideal for graduate students and researchers in the field of numerical astrophysics.

Margaret Cavendish's prolific and wide-ranging contributions to seventeenth-century intellectual culture are impossible to contain within the discrete confines of modern academic disciplines. Paying attention to the innovative uses of genre through which she enhanced and complicated her writings both within literature and beyond, this collection addresses her oeuvre and offers the most comprehensive and multidisciplinary resource on Cavendish's works to date. The astonishing breadth of her varied intellectual achievements is reflected through elegantly arranged sections on History of Science, Philosophy, Literature, Politics and Reception, and New Directions, together with an Afterword by award-winning novelist Siri Hustvedt. The first book to cover nearly all of Cavendish's major works in a single volume, this collection brings together a variety of expert perspectives to illuminate the remarkable ideas and achievements of one of the most fascinating and prolific figures of the early

This textbook of quantitative methods in transportation engineering comes with problems and a solutions manual for adopting course instructors. Basic mathematics and calculus are prerequisites.

This textbook of quantitative methods in transportation engineering comes with problems and a solutions manual for adopting course instructors. Basic mathematics and calculus are prerequisites.

"Intended as supplementary material for undergraduate physics students, this wide-ranging collection of problems in applied mathematics and physics features complete solutions. Topics include kinemati

An introduction to the theory and numerical developments of the homogenization method, designed for researchers, engineers, and advanced graduate students in applied mathematics, mechanical engineerin

Integrating fundamental theory, physical applications, and numerical results, Oostven (mathematics, U. of Groningen, The Netherlands) provides a mathematical framework for a structured approach to str

This second edition of eCommerce Economics addresses the economic issues associated with using computer-mediated electronic networks, such as the Internet, as mechanisms for transferring ownership of

This second edition of eCommerce Economics addresses the economic issues associated with using computer-mediated electronic networks, such as the Internet, as mechanisms for transferring ownership of

This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of integral equations using a blend of abstract 'structural' results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text and it allows a thorough account to be given of many of the types of integral equation which arise in application areas. Since it is not always possible to find explicit solutions of the problems posed, much attention is devoted to obtaining qualitative information and approximations to the solutions, with the associated error estimates. This treatment is intended for final year mathematics undergraduates, postgraduates and research workers in application areas such as numerical analysis and fluid mechanics.

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

Brown (computer music, Queensland U. of technology, Brisbane, Australia) provides an overview of the use of computers in music education for educators teaching all ages of students. It focuses on the

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

'Abd al-Rahman b. 'Amr al-Awza'i (c.707-774) was Umayyad Syria's most influential jurist, part of a generation of scholars who began establishing the first formal structures for the preservation and d

Learn about the Eiffel Tower, beloved and iconic symbol of Paris, France, and one of the most recognizable structures in the world!When the plans for the Eiffel Tower were first announced, many people

Sue Roaf is famed for her approach to design and her awareness of energy efficiency. Here she reveals the concepts, structures and techniques that lie behind the realization of her ideals. By using he

One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction

Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents.

Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents.

Loved by students for the visual and flexible way to build computer skills, the Illustrated Course Guides are ideal for learning Microsoft Excel 2013 regardless of your experience level. Each two-page

Loved by students for the visual and flexible way to build computer skills, the Illustrated Course Guides are ideal for learning Microsoft Excel 2013 regardless of your experience level. Each two-page