Mathematics of Discrete Structures for Computer Science

Presents step-by-step instructions for drawing different types of knights, castles, and other medieval structures.

Surnames are inherited in much the same way as are biological traits. Since surnames were generally adopted - in Europe during Medieval times - their distribution has become very uneven: analysis of the present geographic patterns provides an insight into the kind of redistribution of genes that has resulted from all the migrations of the intervening years. Using non-technical language and a minimum of mathematics, this book presents a lucid description and evaluation of these studies of the genetic structure of human populations. A special feature is the appendix which presents computer-generated maps and distribution diagrams of 100 common surnames in England and Wales.

Surnames are inherited in much the same way as are biological traits. Since surnames were generally adopted - in Europe during Medieval times - their distribution has become very uneven: analysis of the present geographic patterns provides an insight into the kind of redistribution of genes that has resulted from all the migrations of the intervening years. Using non-technical language and a minimum of mathematics, this book presents a lucid description and evaluation of these studies of the genetic structure of human populations. A special feature is the appendix which presents computer-generated maps and distribution diagrams of 100 common surnames in England and Wales.

Optimization is an essential technique for solving problems in areas as diverse as accounting, computer science and engineering. Assuming only basic linear algebra and with a clear focus on the fundamental concepts, this textbook is the perfect starting point for first- and second-year undergraduate students from a wide range of backgrounds and with varying levels of ability. Modern, real-world examples motivate the theory throughout. The authors keep the text as concise and focused as possible, with more advanced material treated separately or in starred exercises. Chapters are self-contained so that instructors and students can adapt the material to suit their own needs and a wide selection of over 140 exercises gives readers the opportunity to try out the skills they gain in each section. Solutions are available for instructors. The book also provides suggestions for further reading to help students take the next step to more advanced material.

Optimization is an essential technique for solving problems in areas as diverse as accounting, computer science and engineering. Assuming only basic linear algebra and with a clear focus on the fundamental concepts, this textbook is the perfect starting point for first- and second-year undergraduate students from a wide range of backgrounds and with varying levels of ability. Modern, real-world examples motivate the theory throughout. The authors keep the text as concise and focused as possible, with more advanced material treated separately or in starred exercises. Chapters are self-contained so that instructors and students can adapt the material to suit their own needs and a wide selection of over 140 exercises gives readers the opportunity to try out the skills they gain in each section. Solutions are available for instructors. The book also provides suggestions for further reading to help students take the next step to more advanced material.

Challenging the cherished notions of colloidal theory, Barry Ninham and Pierandrea Lo Nostro confront the scientific lore of molecular forces and colloidal science in an incisive and thought-provoking manner. The authors explain the development of these classical theories, discussing amongst other topics electrostatic forces in electrolytes, specific ion effects and hydrophobic interactions. Throughout the book they question assumptions, unearth flaws and present new results and ideas. From such analysis, a qualitative and predictive framework for the field emerges; the impact of this is discussed in the latter half of the book through force behaviour in self assembly. Here, numerous diverse phenomena are explained, from surfactants to biological applications, all richly illustrated with pertinent, intellectually stimulating examples. With mathematics kept to a minimum, and historic facts and anecdotes woven through the text, this is a highly engaging and readable treatment for student

Cosmology - the science of the Universe at large - has experienced a renaissance in the decades bracketing the turn of the twenty-first century. Exploring our emerging understanding of cosmology, this text takes two complementary points of view: the physical principles underlying theories of cosmology, and the observable consequences of models of Universal expansion. The book develops cosmological models based on fundamental physical principles, with mathematics limited to the minimum necessary to keep the material accessible for students of physics and astronomy at the advanced undergraduate level. A substantial review of general relativity leading up to the Einstein field equations is included, with derivations of explicit formulations connecting observable features of the Universe to models of its expansion. Self-contained and up to date in respect of modern observations, the text provides a solid theoretical grounding in modern cosmology while preparing readers for the changes that

The study of fracture mechanics of concrete has developed in recent years to the point where it can be used for assessing the durability of concrete structures and for the development of new concrete

Process algebra is a widely accepted and much used technique in the specification and verification of parallel and distributed software systems. This book sets the standard for the field. It assembles the relevant results of most process algebras currently in use, and presents them in a unified framework and notation. The authors describe the theory underlying the development, realization and maintenance of software that occurs in parallel or distributed systems. A system can be specified in the syntax provided, and the axioms can be used to verify that a composed system has the required external behaviour. As examples, two protocols are completely specified and verified in the text: the Alternating-Bit Protocol for Data Communication, and Fischer's Protocol of Mutual Exclusion. The book serves as a reference text for researchers and graduate students in computer science, offering a complete overview of the field and referring to further literature where appropriate.

Bray (U. of Maine) offers a textbook for a one-semester course for upper-level undergraduate students of mathematics, the physical sciences, and engineering; and for graduate students in various other

When Sam Flynn finds his presumed-dead father's computer, he is transported to the computer world known as the Grid, and must fight for survival when he draws the attention of an evil being named Clu.

Real Analysis is indispensable for in-depth understanding and effective application of methods of modern analysis. This concise and friendly book is written for early graduate students of mathematics

Real Analysis is indispensable for in-depth understanding and effective application of methods of modern analysis. This concise and friendly book is written for early graduate students of mathematics

This interpretation of the impact of slavery on African life emphasizes the importance of external demand for slaves - from Occidental and Oriental purchasers - in developing an active trade in slaves within Africa. The book summarizes a wide range of recent literature on slavery for all of tropical Africa. It analyzes the demography, economics, social structure, and ideology of slavery in Africa from the beginning of large-scale exports in the seventeenth century to the gradual elimination of slavery in the twentieth century. While the book is primarily a general survey, it presents interesting research and analysis, especially in the author's demographic model, computer simulation of the slave trade, and analysis of slave prices. The demographic, economic, and social analyses are carefully introduced, so that the book may serve not only as a general introduction to African slavery for an undergraduate audience, but as a primer on interdisciplinary application of social science method

Arising from the 2019 Darwin College Lectures, this book presents essays from seven prominent public intellectuals on the theme of vision. Each author examines this theme through the lens of their own particular area of expertise, making for a lively interdisciplinary volume including chapters on neuroscience, colour perception, biological evolution, astronomy, the future of technology, computer vision, and the visionary core of science. Featuring contributions by professors of neuroscience Paul Fletcher and Anya Hurlbert, professor of zoology Dan-Eric Nilsson, the futurist Sophie Hackford, Microsoft distinguished scientist Andrew Blake, theoretical physicist and author Carlo Rovelli, and Dr Carolin Crawford, the Public Astronomer at the University of Cambridge, this volume will be of interest to anybody curious about how we see the world.

Aquaculture is the science and technology of breeding and growing aquatic plants. Aquaculture has been in practice in China and India for more than 2000 years. However, the realisation of its role in meeting the world's food needs and of the need to develop it as an industry is more recent. Scientific aquaculture can ensure steady and regular protection of fish, which may be increased considerably with planned input of modern technology, similar to the case of scientific agriculture in relation to the production of land-based food crops. Aquaculture has therefore the potential of being the second largest means of food production next only to agriculture. This book presents various features of coastal aquacultural operations with emphasis on theoretical considerations in the planning and design of engineering structures.

Welcome to Semiconductor Device Fabrication Process! This is a nonfiction science book which contains various topics on semiconductor device fabrication process. The process of fabricating semiconductor devices, which are primarily integrated circuit (IC) chips like modern computer processors, microcontrollers, and memory chips like NAND flash and DRAM found in common electrical and electronic equipment, is known as semiconductor device manufacturing. Electronic circuits are gradually built on a wafer consisting of pure semiconducting material using a multi-step sequence of photolithographic and chemical processing techniques such as surface passivation, thermal oxidation, planar diffusion, and junction isolation. Although different compound semiconductors are utilized for specialized applications, silicon is virtually always employed. From commencement to packaged chips ready for distribution, the process requires at least six to eight weeks excluding the circuit design, and it is car

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the first publication in the Perspectives in Logic series, Pour-El and Richards present the first graduate-level treatment of computable analysis within the tradition of classical mathematical reasoning. The book focuses on the computability or noncomputability of standard processes in analysis and physics. Topics include classical analysis, Hilbert and Banach spaces, bounded and unbounded linear operators, eigenvalues, eigenvectors, and equations of mathematical physics. The work is self-contained, and although it is intended primarily for logicians and analysts, it should also be of interest to researchers and graduate students in physics and computer science.

The main purpose of this book is to present all the ingredients for constructing the numerical models for representing the complex nonlinear behavior of structures and their components, which are repr

More and more working computer professionals are confronted with the use, maintenance, or customization of cryptographic components and program certification mechanisms for local or mobile code. This text for advanced undergraduate and beginning graduate students tells what every computer scientist ought to know about cryptographic systems, security protocols, and secure information flow in programs. Highlights include a detailed description of the new advanced encryption standard Rijndael; a complete description of an optimal public-key encryption using RSA which turns 'textbook RSA' into a practical implementation; a current, and formal discussion of standard security models for information flow in computer programs or human organizations; and a discussion of moral, legal, and political issues. Another novel feature of the book is the presentation of a formal model-checking tool for specifying and debugging security protocols. The book also includes numerous implementation exercises

Originally published in 1917, as the second edition of a 1912 original, this textbook presents a detailed and contained introduction on statics written by renowned professor and author S. L. Loney (1860–1939). Primarily aimed at undergraduate students of science, engineering and mathematics, this book considers statics from the very beginning and assumes only elementary prior knowledge of the ordinary processes of the differential and integral calculus and in some articles the notions of solid geometry. Multiple examples are presented throughout and are intended to be useful for students of varying capacity. Chapter titles include, 'Centre of gravity', 'Stable and unstable equilibrium' and 'Thin spherical shells and solid sphere'. Multiple diagrams are included for reference. This accessible book provides an ideal and inspiring introduction to statics and will be of great value to specialists in the field as well as to anyone with an interest in the history of education.

In the past few decades we have come to understand that even motions in simple systems can have complex and surprising properties. Chaotic Dynamics provides a clear introduction to these chaotic phenomena, based on geometrical interpretations and simple arguments, without the need for prior in-depth scientific and mathematical knowledge. Richly illustrated throughout, examples are taken from classical mechanics whose elementary laws are familiar to the reader. In order to emphasize the general features of chaos, the most important relations are also given in simple mathematical forms, independent of any mechanical interpretation. A broad range of potential applications are presented, ranging from everyday phenomena through engineering and environmental problems to astronomical aspects. Chaos occurs in a variety of scientific disciplines, and proves to be the rule, not the exception. This book is primarily intended for undergraduate students in science, engineering, and mathematics.

Developing advanced materials and processes can enable the creation of microsystems (MEMS) with enhanced functionality, and improved performance and reliability. These considerations are of growing importance as MEMS make the difficult transition from research laboratories to full-fledged commercialization. Equally, MEMS designers continue to introduce new device concepts and system architectures which motivate fundamental studies of materials behavior at micrometer- and nanometer length scales. Together, this collection of papers serves as a useful resource for the growing community of scientists and engineers working at the intersection of materials science and microdevices. Firstly it focuses on developing advanced materials specific to sensing and actuation. Section Two presents fundamental studies of the mechanical behavior of microscale and nanoscale structures. Section Three presents new materials and processes that can potentially influence the development of many new and diffe

In 1770, one of the founders of pure mathematics, Leonard Euler (1707–1783), published an algebra textbook for students. It was soon translated into French, with notes and additions by Joseph-Louis Lagrange, another giant of eighteenth-century mathematics, and the French edition was used as the basis of the English edition of 1822 (which also appears in this series), and of this 1790s German edition by Johann Philipp Grüson, Professor of Mathematics to the royal cadets. Volume 1 begins with elementary mathematics of determinate quantities and includes four sections on simple calculations (addition, subtraction, division, multiplication), and progresses to compound calculations (fractions), ratios and proportions. This landmark book showed students the beauty of mathematics, and more significantly, how to do it. It provides tangible evidence of the lively and international mathematical community that flourished despite the political uncertainties of the late eighteenth century.

This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept

This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept

Making Math Accessible for English Language Learners provides practical classroom tips and suggestions to strengthen the quality of classroom instruction for teachers of mathematics. The tips and sugg

Linear algebra forms the basis for much of modern mathematics—theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathemat

Probability Theory, Theory of Random Processes and Mathematical Statistics are important areas of modern mathematics and its applications. They develop rigorous models for a proper treatment for vario

Making Math Accessible for English Language Learners provides practical classroom tips and suggestions to strengthen the quality of classroom instruction for teachers of mathematics. The tips and sugg

Understand common scheduling as well as other advanced operational problems with this valuable reference from a recognized leader in the field. Beginning with basic principles and an overview of linear and mixed-integer programming, this unified treatment introduces the fundamental ideas underpinning most modeling approaches, and will allow you to easily develop your own models. With more than 150 figures, the basic concepts and ideas behind the development of different approaches are clearly illustrated. Addresses a wide range of problems arising in diverse industrial sectors, from oil and gas to fine chemicals, and from commodity chemicals to food manufacturing. A perfect resource for engineering and computer science students, researchers working in the area, and industrial practitioners.

Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. The 5th edition contains extensive new material describing numerous powerful algorithms and methods that represent recent developments in the field. New topics such as active matter and machine learning are also introduced. Throughout, there are many applications, examples, recipes, case studies, and exercises to help the reader fully comprehend the material. This book is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.

Based on a lecture course given at Chalmers University of Technology, this 2002 book is ideal for advanced undergraduate or beginning graduate students. The author first develops the necessary background in probability theory and Markov chains before applying it to study a range of randomized algorithms with important applications in optimization and other problems in computing. Amongst the algorithms covered are the Markov chain Monte Carlo method, simulated annealing, and the recent Propp-Wilson algorithm. This book will appeal not only to mathematicians, but also to students of statistics and computer science. The subject matter is introduced in a clear and concise fashion and the numerous exercises included will help students to deepen their understanding.

Movement is arguably the most fundamental and important function of the nervous system. Purposive movement requires the coordination of actions within many areas of the cerebral cortex, cerebellum, basal ganglia, spinal cord, and peripheral nerves and sensory receptors, which together must control a highly complex biomechanical apparatus made up of the skeleton and muscles. Beginning at the level of biomechanics and spinal reflexes and proceeding upward to brain structures in the cerebellum, brainstem and cerebral cortex, the chapters in this book highlight the important issues in movement control. Commentaries provide a balanced treatment of the articles that have been written by experts in a variety of areas concerned with movement, including behaviour, physiology, robotics, and mathematics.

For graduate or advanced undergraduate students in electronics, electronic engineering, physics, or mathematics, Aluf explains explicit procedures for applying general mathematical representations of

Genetic engineering has been studied for a number of years for understanding the formation of cells and cell structures as well as the processes involved in evolution. The scientific advancements in t

Covers essential content terms in the key subject area of mathematics for elementary level students.

A comprehensive introduction to the field of autonomous robotics aimed at upper-level undergraduates and offering additional online resources.Textbooks that provide a broad algorithmic perspective on the mechanics and dynamics of robots almost unfailingly serve students at the graduate level. Introduction to Autonomous Robots offers a much-needed resource for teaching third- and fourth-year undergraduates the computational fundamentals behind the design and control of autonomous robots. The authors use a class-tested and accessible approach to present progressive, step-by-step development concepts, alongside a wide range of real-world examples and fundamental concepts in mechanisms, sensing and actuation, computation, and uncertainty. Throughout, the authors balance the impact of hardware (mechanism, sensor, actuator) and software (algorithms) in teaching robot autonomy. Features:Rigorous and tested in the classroomWritten for engineering and computer science undergraduates with a soph

Eukaryotic cells are remarkably complex structures, containing a vast repertoire of macromolecules, organelles, and other compartments that orchestrate the tasks required for life. For in-depth studie

Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theo