Mathematics of Discrete Structures for Computer Science

Design optimization is a standard concept in engineering design, and in other disciplines which utilize mathematical decision-making methods. This textbook focuses on the close relationship between a design problem's mathematical model and the solution-driven methods which optimize it. Along with extensive material on modeling problems, this book also features useful techniques for checking whether a model is suitable for computational treatment. Throughout, key concepts are discussed in the context of why and when a particular algorithm may be successful, and a large number of examples demonstrate the theory or method right after it is presented. This book also contains step-by-step instructions for executing a design optimization project - from building the problem statement to interpreting the computer results. All chapters contain exercises from which instructors can easily build quizzes, and a chapter on 'principles and practice' offers the reader tips and guidance based on the au

This book is ideal for teaching students in engineering or physics the skills necessary to analyze motions of complex mechanical systems such as spacecraft, robotic manipulators, and articulated scientific instruments. Kane's method, which emerged recently, reduces the labor needed to derive equations of motion and leads to equations that are simpler and more readily solved by computer, in comparison to earlier, classical approaches. Moreover, the method is highly systematic and thus easy to teach. This book is a revision of Dynamics: Theory and Applications (1985), by T. R. Kane and D. A. Levinson, and presents the method for forming equations of motion by constructing generalized active forces and generalized inertia forces. Important additional topics include approaches for dealing with finite rotation, an updated treatment of constraint forces and constraint torques, an extension of Kane's method to deal with a broader class of nonholonomic constraint equations, and other recent ad

Thermal systems are essential features in power, chemical processing, air conditioning, and other industries where heat and power are used. As the cost and complexity of designing thermal systems have increased, the need to understand and improve the design process has also grown. This book describes recent progress in the design of thermal systems. The book begins with a brief history and outline of developments in thermal system design. Chapters then discuss computer design tools for the power and chemical industries, predicting physical properties with computational tools, the use of 'pinch analysis' to improve thermal efficiency, applications of the exergy concept, the emerging concept of thermoeconomics, and the potential for artificial intelligence and expert systems in the design of thermal systems. With chapters written by internationally recognised authorities, the book offers a state-of-the-art review for both researchers and practitioners in mechanical, aerospace, chemical,

Thermal systems are essential features in power, chemical processing, air conditioning, and other industries where heat and power are used. As the cost and complexity of designing thermal systems have increased, the need to understand and improve the design process has also grown. This book describes recent progress in the design of thermal systems. The book begins with a brief history and outline of developments in thermal system design. Chapters then discuss computer design tools for the power and chemical industries, predicting physical properties with computational tools, the use of 'pinch analysis' to improve thermal efficiency, applications of the exergy concept, the emerging concept of thermoeconomics, and the potential for artificial intelligence and expert systems in the design of thermal systems. With chapters written by internationally recognised authorities, the book offers a state-of-the-art review for both researchers and practitioners in mechanical, aerospace, chemical,

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance – simulation and sampling, as well as experimental design and data collection – that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing, meta-analysis, and causal inference.

This compact course is written for the mathematically literate reader who wants to learn to analyze data in a principled fashion. The language of mathematics enables clear exposition that can go quite deep, quite quickly, and naturally supports an axiomatic and inductive approach to data analysis. Starting with a good grounding in probability, the reader moves to statistical inference via topics of great practical importance – simulation and sampling, as well as experimental design and data collection – that are typically displaced from introductory accounts. The core of the book then covers both standard methods and such advanced topics as multiple testing, meta-analysis, and causal inference.

Combinatorics is a broad and important area of mathematics, and this textbook provides the beginner with the ideal introduction to many of the different aspects of the subject. By building up from the basics, and demonstrating the relationships between the various branches of combinatorics, Victor Bryant provides a readable text that presents its results in a straightforward way. Numerous examples and exercises, including hints and solutions, are included throughout and serve to lead the reader to some of the deeper results of the subject, many of which are usually excluded from elementary texts. This is an excellent textbook, by an experienced author, for introductory courses in combinatorics and graph theory.

The essays selected for this second volume on the conduct of hostilities examine discrete topics of international humanitarian law that are particularly relevant to 21st century warfare. It commences

Originally published in 1981, this book forms volume 15 of the Encyclopedia of Mathematics and its Applications. The text provides a clear and thorough treatment of its subject, adhering to a clean exposition of the mathematical content of serious formulations of rational physical alternatives of quantum theory as elaborated in the influential works of the period, to which the authors made a significant contribution. The treatment falls into three distinct, logical parts: in the first part, the modern version of accumulated wisdom is presented, avoiding as far as possible the traditional language of classical physics for its interpretational character; in the second part, the individual structural elements for the logical content of the theory are laid out; in part three, the results of section two are used to reconstruct the usual Hilbert space formulation of quantum mechanics in a novel way.

Research into the stability of matter has been one of the most successful chapters in mathematical physics, and is a prime example of how modern mathematics can be applied to problems in physics. A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physicists. The topics covered include electrodynamics of classical and quantized fields, Lieb-Thirring and other inequalities in spectral theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational stability of stars, basics of equilibrium statistical mechanics, and the existence of the thermodynamic limit. The book is an up-to-date account for researchers, and its pedagogical style makes it suitable for advanced undergraduate and graduate courses in mathematical physics.

Free Probability Theory studies a special class of 'noncommutative'random variables, which appear in the context of operators on Hilbert spaces and in one of the large random matrices. Since its emergence in the 1980s, free probability has evolved into an established field of mathematics with strong connections to other mathematical areas, such as operator algebras, classical probability theory, random matrices, combinatorics, representation theory of symmetric groups. Free probability also connects to more applied scientific fields, such as wireless communication in electrical engineering. This 2006 book gives a self-contained and comprehensive introduction to free probability theory which has its main focus on the combinatorial aspects. The volume is designed so that it can be used as a text for an introductory course (on an advanced undergraduate or beginning graduate level), and is also well-suited for the individual study of free probability.

The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.

The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.

This book is intended for advanced undergraduate and graduate students in mechanical and aerospace engineering taking a course commonly called Principles of Turbomachinery or Aerospace Propulsion. It begins with a review of basic thermodynamics and fluid mechanics principles to motivate their application to aerothermodynamics and real-life design issues. This approach is ideal for the reader who will face practical situations and design decisions in the gas turbine industry. Among the features of the book are: • An emphasis on the role of entropy in assessing machine performance • A timely review of flow structures • Revisiting the subsonic and supersonic De Laval nozzle as it applies to bladed turbomachinery components • An applied review of boundary layer principles • And highlighting the importance of invariant properties across a turbomachinery component in carrying out real computational tasks. The text is fully supported by over two hundred figures, numerous examples and homework

Mutualistic interactions between ants and plants involve rewards offered by plants and services performed by ants in a mutually advantageous relationship. The rewards are principally food and/or nest sites, and ants in turn perform a number of services for plants: they disperse and plant seeds; they protect foliage, buds, and reproductive structures from enemies such as herbivores and seed predators; they fertilize plants with essential nutrients; and they may sometimes function as pollinators. In this book, initially published in 1985, Professor Beattie reviews the fascinating natural history of ant–plant interactions, discusses the scientific evidence for the mutualistic nature of these relationships, and reaches some conclusions about the ecological and evolutionary processes that mold them. This important work explores the natural history, experimental approach, and integration with contemporary evolutionary and ecological literature of the time will appeal to a wide variety of bio

This book is intended for advanced undergraduate and graduate students in mechanical and aerospace engineering taking a course commonly called Principles of Turbomachinery or Aerospace Propulsion. It begins with a review of basic thermodynamics and fluid mechanics principles to motivate their application to aerothermodynamics and real-life design issues. This approach is ideal for the reader who will face practical situations and design decisions in the gas turbine industry. Among the features of the book are: • An emphasis on the role of entropy in assessing machine performance • A timely review of flow structures • Revisiting the subsonic and supersonic De Laval nozzle as it applies to bladed turbomachinery components • An applied review of boundary layer principles • And highlighting the importance of invariant properties across a turbomachinery component in carrying out real computational tasks. The text is fully supported by over two hundred figures, numerous examples and homework

Mutualistic interactions between ants and plants involve rewards offered by plants and services performed by ants in a mutually advantageous relationship. The rewards are principally food and/or nest sites, and ants in turn perform a number of services for plants: they disperse and plant seeds; they protect foliage, buds, and reproductive structures from enemies such as herbivores and seed predators; they fertilize plants with essential nutrients; and they may sometimes function as pollinators. In this book, initially published in 1985, Professor Beattie reviews the fascinating natural history of ant–plant interactions, discusses the scientific evidence for the mutualistic nature of these relationships, and reaches some conclusions about the ecological and evolutionary processes that mold them. This important work explores the natural history, experimental approach, and integration with contemporary evolutionary and ecological literature of the time will appeal to a wide variety of bio

A how-to manual on Kabbalistic meditation, this volume is intended for readers who specifically want learn the Hitbonenut method of meditation. Rabbi Pinson presents his teachings in small discrete pa

Self-taught mathematician and father of Boolean algebra, George Boole (1815–1864) published A Treatise on the Calculus of Finite Differences in 1860 as a sequel to his Treatise on Differential Equations (1859). Both books became instant classics that were used as textbooks for many years and eventually became the basis for our contemporary digital computer systems. The book discusses direct theories of finite differences and integration, linear equations, variations of a constant, and equations of partial and mixed differences. Boole also includes exercises for daring students to ponder, and also supplies answers. Long a proponent of positioning logic firmly in the camp of mathematics rather than philosophy, Boole was instrumental in developing a notational system that allowed logical statements to be symbolically represented by algebraic equations. One of history's most insightful mathematicians, Boole is compelling reading for today's student of logic and Boolean thinking.

Though most governments in Southeast Asia are widely described as authoritarian, elections have been a feature of politics in the region for many decades. This volume, bringing together eleven separate case studies by leading authorities, examines the countries that have conducted multi-party elections since the 1940s and 1950s - Indonesia, Malaysia, the Philippines, Thailand, Cambodia, Burma/Myanmar, and Singapore. It identifies the common and distinguishing features of electoral politics in the region. The contributors to this volume, unlike most earlier students of politics in Southeast Asia, conclude that it is not something peculiar to the political culture of the region that shapes its political behaviour. It is, rather, the same political forces and structures that shape politics in North America and Europe.

First published in 1949 as part of the Cambridge Monographs on Physics series, this book assesses the phenomena of surface tension and spreading for various liquids. Burdon examines the spreading of liquids on solids as well as on other liquids, including liquid metals such as mercury and gallium. This book will be of value to anyone with an interest in the history of science.

Return to the final days of the Dyer expedition in the remote Antarctic wastes. The letters from expedition leader Professor William Dyer grow increasingly more desperate as the expedition presses on, leaving sanity behind them. What they discover beneath the ice is meant for no living man to see, Cyclopean structures and alien landscapes that defy history itself. The final act of the Dyer Expedition is a descent into cosmic horror and utter madness. H.P. Lovecraft's At the Mountains of Madness, first published in 1936, is one of the greatest classics of American horror literature. The most ambitious story Lovecraft ever wrote, it has served as a source of inspiration for filmmakers and authors in the decades since his death. This is the second volume of two. Fran蔞is Baranger, an illustrator with experience working in both the film and gaming industries, was fascinated early on by Lovecraft's creatures and visions which populated the darkest recesses of fantasy. Having previously illus

From award winning author Lucy Strange, The Island at the Edge of Night is a dark, suspenseful mystery set on an island where science and magic blur and danger and secrets unfold.Faye Fitzgerald does not remember what she's done to land herself at the Auk Island School. She remembers so little about the night that changed her life. Growing up surrounded by nature with botonist father in the Forest House, she can't cope with the bleak and treeless island where the school sits in seclusion.Where she and the other children are treated more like prisoners than pupils.While her fellow students begin to defy the horrible headmaster within the walls of the school, something is begging for Faye's attention on the outside. "The Knife," the only mountain on the island, is calling for her. And it will draw her into a web of secrets that she could have never thought possible.In this gripping mystery that weaves in and around the line between science and magic, a murdered prince, a majestic stag, a

How oxygen levels in Earth's atmosphere and oceans evolved has always been a central question in Earth System Science. Researchers have developed numerous tracers to tackle this question, utilizing geochemical characteristics of different elements. Iodine incorporated in calcium carbonate (including biogenic) minerals, reported as I/Ca, is a proxy for dissolved oxygen in seawater. Here we review the rationale behind this proxy, its recent applications and some potential future research directions.

This paperback edition of Dr Hudson's advanced textbook presents the theory of small disturbances propagating through solids. The material is set out carefully in mathematical detail. The linearised theory of elasticity has now been replaced by a more fundamental approach based on a generalised theory of continuum mechanics. Despite this change of emphasis in solid mechanics there remain important areas of physics in which the linear theory is clearly of fundamental importance, especially in seismology, noise analysis and the non-destructive testing of materials. This is a textbook suitable for advanced undergraduates in a variety of disciplines, including applied mathematics, applied physics, geophysics and structural and civil engineering. The book is of particular interest to seismologists and physicists engaged in non-destructive testing.

This book shows that the repeated announcements of the death of Hegel's philosophical system have been premature. Hegel's Philosophy of Freedom, Reality, and God brings to light accomplishments for which Hegel is seldom given credit: unique arguments for the reality of freedom, for the reality of knowledge, for the irrationality of egoism, and for the compatibility of key insights from traditional theism and naturalistic atheism. The book responds in a systematic manner to many of the major criticisms leveled at Hegel's system, from Feuerbach and Kierkegaard to Heidegger and Charles Taylor. It provides detailed interpretations of Hegel's Philosophy of Spirit, large parts of his indispensable Science of Logic, and important parts of his Philosophy of Nature and Philosophy of Right. Unlike many academic books on Hegel, this one treats him very much as a 'live' thinker, whom we can learn from today.

This book shows that the repeated announcements of the death of Hegel's philosophical system have been premature. Hegel's Philosophy of Freedom, Reality, and God brings to light accomplishments for which Hegel is seldom given credit: unique arguments for the reality of freedom, for the reality of knowledge, for the irrationality of egoism, and for the compatibility of key insights from traditional theism and naturalistic atheism. The book responds in a systematic manner to many of the major criticisms leveled at Hegel's system, from Feuerbach and Kierkegaard to Heidegger and Charles Taylor. It provides detailed interpretations of Hegel's Philosophy of Spirit, large parts of his indispensable Science of Logic, and important parts of his Philosophy of Nature and Philosophy of Right. Unlike many academic books on Hegel, this one treats him very much as a 'live' thinker, whom we can learn from today.

Billions of dollars are spent annually for the replacement of corroded structures, machinery, and components. Premature failure of bridges or structures due to corrosion can also result in human injur

Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes

Chemical separations are of central importance in many areas of environmental science, whether it is the clean up of polluted water or soil, the treatment of discharge streams from chemical processes, or modification of a specific process to decrease its environmental impact. This book is an introduction to chemical separations, focusing on their use in environmental applications. The authors first discuss the general aspects of separation technology as a unit operation. They also describe how property differences are used to generate separations, the use of separating agents, and the selection criteria for particular separation techniques. The general approach for each technology is to present the chemical and/or physical basis for the process and explain how to evaluate it for design and analysis. The book contains many worked examples and homework problems. It is an ideal textbook for undergraduate and graduate students taking courses on environmental separations or environmental en

One of the perennial themes in philosophy is the problem of our access to the world around us; do our perceptual systems bring us into contact with the world as it is or does perception depend upon our individual conceptual frameworks? This volume of new essays examines reference as it relates to perception, action and realism, and the questions which arise if there is no neutral perspective or independent way to know the world. The essays discuss the nature of referring, concentrating on the way perceptual reference links us with the observable world, and go on to examine the implications of theories of perceptual reference for realism and the way in which scientific theories refer and thus connect us with the world. They will be of interest to a wide range of readers in philosophy of science, epistemology, philosophy of psychology, cognitive science and action theory.

In the late 1980s regional integration emerged as one of the most important developments in world politics. It is not a new phenomenon, however, and this 1999 book presents an analysis of integration across time, and across regions. Walter Mattli examines projects in nineteenth- and twentieth-century Europe, but also in Latin America, North America and Asia since the 1950s. Using the tools of political economy, he considers why some integration schemes have succeeded while many others have failed; what forces drive the process of integration; and under what circumstances outside countries seek to join. Unlike traditional political science approaches, the book stresses the importance of market forces in determining the outcome of integration; but unlike purely economic analyses, it also highlights the impact of institutional factors. The book will provide students of political science, economics, and European studies with a framework for the study of international cooperation.

First published in 1981, this book presents an original approach to an area of great importance in comparative zoology and physiology and evolutionary biology: the evolution of air breathing in vertebrates from aquatic ancestors. The subject is approached from a functional as well as an anatomical viewpoint, utilising knowledge of the physiology of extant animals to trace probable evolutionary steps. Opening with a brief summary of current views of vertebrate evolution, the authors then go on to deal with problems of oxygen transfer in water and air and the structure and function of gills and lungs. Carbon dioxide transfer in water-breathing forms is seen as being tightly coupled to an ion and acid-base regulation. The evolution of air breathing is seen as a several-stage process, beginning with the evolution of accessory air-breathing structures for oxygen uptake.

This book presents methods and results from the theory of Zariski structures and discusses their applications in geometry as well as various other mathematical fields. Its logical approach helps us understand why algebraic geometry is so fundamental throughout mathematics and why the extension to noncommutative geometry, which has been forced by recent developments in quantum physics, is both natural and necessary. Beginning with a crash course in model theory, this book will suit not only model theorists but also readers with a more classical geometric background.

The text presents a modern view of classical mechanics and electromagnetism for today's science and engineering students, including coverage of optics and quantum physics and emphasizing the rela

The story of the RCA VideoDisc is a rare inside look at a company and the way it conducts the complex process of science-based innovation. For nearly fifty years the RCA name was synonymous with innovation in the industries it helped to build - radio and television broadcasting and manufacturing, and electronics. This book, first published in 1986, presents an absorbing account of how RCA shaped a sophisticated consumer electronics technology in a research and development effort that spanned fifteen years. We see how the company's history, its structure, its technical capability, and its competition all influenced the choices that were made in moving VideoDisc from laboratory to development group to market, and ultimately to withdrawal from the marketplace. Graham's book seeks to examine the nature of science-based innovation as a management problem. It also describes the complex workings of a large corporate R&D organization and the relationship that exists between it and the other co

A bestselling author, neuroscientist, and computer engineer unveils a theory of intelligence that will revolutionize our understanding of the brain and the future of AI. For all of neuroscience's advances, we've made little progress on its biggest question: How do simple cells in the brain create intelligence? Jeff Hawkins and his team discovered that the brain uses maplike structures to build a model of the world-not just one model, but hundreds of thousands of models of everything we know. This discovery allows Hawkins to answer important questions about how we perceive the world, why we have a sense of self, and the origin of high-level thought. A Thousand Brains heralds a revolution in the understanding of intelligence. It is a big-think book, in every sense of the word.

The Mahler measure is a fascinating notion and an exciting topic in contemporary mathematics, interconnecting with subjects as diverse as number theory, analysis, arithmetic geometry, special functions and random walks. This friendly and concise introduction to the Mahler measure is a valuable resource for both graduate courses and self-study. It provides the reader with the necessary background material, before presenting the recent achievements and the remaining challenges in the field. The first part introduces the univariate Mahler measure and addresses Lehmer's question, and then discusses techniques of reducing multivariate measures to hypergeometric functions. The second part touches on the novelties of the subject, especially the relation with elliptic curves, modular forms and special values of L-functions. Finally, the Appendix presents the modern definition of motivic cohomology and regulator maps, as well as Deligne–Beilinson cohomology. The text includes many exercises to

Clinical cases provide complete, concise coverage of the biochemical and genetic diseases tested on the USMLE Step 1 and in basic science courses.A strong focus on the clinical aspects of biochemical

This book proposes a new definition of world literature: an archive of democratic mechanisms external to state power. Accordingly, World Literature and the Geographies of Resistance takes shape as an exploration of nonstate space - territories of self-government that contest the vertical command structures of the state. Joel Nickels argues that literature devoted to these processes of spatial occuption can help us imagine democratic alternatives to state space and to the regime of legalized dispossession that goes under the name of globalization. Conceptualized in these terms, world literature can be viewed not as the corollary of 90s-era cosmopolitanism, but as a document of strategies for the militant reorganization of social space. This ambitious book addresses the work of Patrick Chamoiseau, Ousmane Sembene, Miguel Ángel Asturias, Claude McKay, Arundhati Roy, T. S. Eliot and Melvin Tolson. It engages with theories of transnationality, diaspora and postcoloniality, as well as world