Mathematics of Discrete Structures for Computer Science

"In this edition of Tony Hawk: Live2Skate, skater Nate Kreece is known for his movie-making skills. So when he loses his computer with all his footage in a fire, he is devastated. But giving up is not

Did you know that duct tape can turn any item of clothing into rainwear? That duct tape over a computer screen will keep your kids from surfing naughty sites on the Web? That a perfect solution for t

Reshaping Environments: An Interdisciplinary Approach to Sustainability in a Complex World draws together a team of specialist authors from disciplines including urban planning, social sciences, engineering and environmental science to examine the diverse influences humans have upon the natural environment. This interdisciplinary approach presents multifaceted responses for complex environmental issues. The book explores current environmental science theories to provide a solid foundation of theoretical knowledge. Drawing on a range of case studies, it develops core analytical skills for application to real-world environmental issues. Reshaping Environments gives environmental science students the tools and insight to comprehend the range of influences society imposes on the natural environment. It is essential reading for those interested in creating a mutually beneficial future for human society and the natural environment.

Essential for students, science and medical graduates who want to understand the basic science of Positron Emission Tomography (PET), this book describes the physics, chemistry, technology and overvie

This concise text was created as a workbook for learning to use vector calculus in practical calculations and derivations. Its only prerequisite is a familiarity with one-dimensional differential and integral calculus. Though it often makes use of physical examples, knowledge of physics itself is not required to study the mathematics of vector calculus. The approach is suitable for advanced undergraduates and graduate students in mathematics, physics, and other areas of science.The two-part treatment opens with a brief text that develops vector calculus from the very beginning and then addresses some more detailed applications. Topics include vector differential operators, vector identities, integral theorems, Dirac delta function, Green's functions, general coordinate systems, and dyadics. The second part consists of answered problems, all closely related to the development of vector calculus in the text. Those who study this book and work out the problems will find that rather than m

Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to

Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to

Random matrices arise from, and have important applications to, number theory, probability, combinatorics, representation theory, quantum mechanics, solid state physics, quantum field theory, quantum gravity, and many other areas of physics and mathematics. This 2001 volume of surveys and research results, based largely on lectures given at the Spring 1999 MSRI program of the same name, covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems. Its stress on the interaction between physics and mathematics will make it a welcome addition to the shelves of graduate students and researchers in both fields, as will its expository emphasis.

Random matrices arise from, and have important applications to, number theory, probability, combinatorics, representation theory, quantum mechanics, solid state physics, quantum field theory, quantum gravity, and many other areas of physics and mathematics. This 2001 volume of surveys and research results, based largely on lectures given at the Spring 1999 MSRI program of the same name, covers broad areas such as topologic and combinatorial aspects of random matrix theory; scaling limits, universalities and phase transitions in matrix models; universalities for random polynomials; and applications to integrable systems. Its stress on the interaction between physics and mathematics will make it a welcome addition to the shelves of graduate students and researchers in both fields, as will its expository emphasis.

This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds was first published in 1982. It was intended be a synthesis of those topics and a broad introduction to the field. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a further knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts were designed to provide an introduction to the more advanced works in the subject.

Understanding the way in which large-scale structures like galaxies form remains the most challenging problem in cosmology today. This text provides an up-to-date and pedagogical introduction to this exciting area of research. Part 1 deals with the Friedmann model, the thermal history of the Universe, and includes a description of observed structures in the Universe. Part 2 describes the theory of gravitational instability in both the linear and non-linear regimes. This part also includes chapters on the microwave background radiation, large-scale velocity fields, quasars and high redshift objects. Part 3 covers inflation, cosmic strings and dark matter. Each chapter is accompanied by a comprehensive set of exercises to help the reader in self-study. The book will be of interest to research and graduate students in cosmology, relativity, theoretical physics, astrophysics and astronomy. It is also suitable for use as a graduate textbook for introductory graduate level courses.

Algorithms permeate our lives in numerous ways, performing tasks that until recently could only be carried out by humans. Artificial Intelligence (AI) technologies, based on machine learning algorithms and big-data-powered systems, can perform sophisticated tasks such as driving cars, analyzing medical data, and evaluating and executing complex financial transactions - often without active human control or supervision. Algorithms also play an important role in determining retail pricing, online advertising, loan qualification, and airport security. In this work, Martin Ebers and Susana Navas bring together a group of scholars and practitioners from across Europe and the US to analyze how this shift from human actors to computers presents both practical and conceptual challenges for legal and regulatory systems. This book should be read by anyone interested in the intersection between computer science and law, how the law can better regulate algorithmic design, and the legal ramificatio

Developments in health, science and technology have long provided fertile analytical ground for social science disciplines. This book focuses on the critical and enduring importance of core concepts i

Developments in health, science and technology have long provided fertile analytical ground for social science disciplines. This book focuses on the critical and enduring importance of core concepts i

Systemic Lupus Erythematosus combines basic science with clinical science to provide a translational treatment of the disease and is a useful reference for specialists in the diagnosis and management

Gathering some 90 entries from the Encyclopedia of Sustainability Science and Technology, this book covers animal breeding and genetics for food, crop science and technology, ocean farming and sustain

Synergized Middle School Chemistry (SMSC) offers a unique approach for teaching middle school science. This book synergizes or puts together lesson sequences using the best practices of science instru

Synergized Middle School Chemistry (SMSC) offers a unique approach for teaching middle school science. This book synergizes or puts together lesson sequences using the best practices of science instru

Maatta (library and information science, U. of South Florida) provides a guide for librarians and library and information science students to becoming an effective readers' advisor and helping contemp

Having lived and worked in Kenya as a correspondent for The Christian Science Monitor from 1987 to 1995, Press (political science, international development, and international affairs, U. of Southern

Explore the rise of technology that may soon rule our lives!What is a computer, how does it work, what are they being used for and what role may they play in the future? Big impactful photos fill the

Explore the rise of technology that may soon rule our lives!What is a computer, how does it work, what are they being used for and what role may they play in the future? Impactful photos fill the page

Wrapped in the glow of the computer or phone screen, we cruise websites; we skim and skip. We glance for a brief moment at whatever catches our eye and then move on. Slow Reading in a Hurried Age remi

A book about Greek legends sparks an idea for a computer game set in a maze. On entering, Sima discovers just how dangerous he maze really is. Before long, the boys in the real world lose track of her

Someone has hacked into the Pope's personal computer-not to spy on the Vatican or to spread a virus, but to send an urgent plea for help: SAVE OUR LADY OF THE TEARS. The crumbling Baroque church in th

More interested in computer games than he is in school, Raheem is tired of being told off by his mum for fooling around in class. He just can't understand what the big deal is with learning, or why he

This is the ideal companion text for mathematicians and physical scientists using mathematical software packages such as Maple. It provides a user-friendly introduction to computer-assisted algebra and demonstrates the use of this technology for deriving approximate solutions to integrals and differential equations. Over 1000 exercises are incorporated with Internet solutions.

The momentous task of assembling such a comprehensive and accurate collection of calendars could only have been achieved by the authors of the definitive text on calendar algorithms, Calendrical Calculations. Using the algorithms outlined in their earlier book, Professors Reingold and Dershowitz have achieved the near-impossible task of simultaneously displaying the date on thirteen different calendars over a three-hundred year period. Represented here are the Gregorian, ISO, Hebrew, Chinese, Coptic, Ethiopic, Persian, Hindu lunar, Hindu solar, and Islamic calendars; another three are easily obtained from the tables with minimal arithmetic ( J.D., R.D. and Julian). The tables also include phases of the moon, dates of solstices and equinoxes, and religious and other special holidays for all the calendars shown. Why produce a book of tables in the computer age? Because computer programs can cover only one or two calendars, have a limited range, are of dubious accuracy, are difficult for

This is the first book to examine and compare how rebels govern civilians during civil wars in Latin America, Africa, Asia, and Europe. Drawing from a variety of disciplinary traditions, including political science, sociology, and anthropology, the book provides in-depth case studies of specific conflicts as well as comparative studies of multiple conflicts. Among other themes, the book examines why and how some rebels establish both structures and practices of rule, the role of ideology, cultural, and material factors affecting rebel governance strategies, the impact of governance on the rebel/civilian relationship, civilian responses to rebel rule, the comparison between modes of state and non-state governance to rebel attempts to establish political order, the political economy of rebel governance, and the decline and demise of rebel governance attempts.

This is the first book to examine and compare how rebels govern civilians during civil wars in Latin America, Africa, Asia, and Europe. Drawing from a variety of disciplinary traditions, including political science, sociology, and anthropology, the book provides in-depth case studies of specific conflicts as well as comparative studies of multiple conflicts. Among other themes, the book examines why and how some rebels establish both structures and practices of rule, the role of ideology, cultural, and material factors affecting rebel governance strategies, the impact of governance on the rebel/civilian relationship, civilian responses to rebel rule, the comparison between modes of state and non-state governance to rebel attempts to establish political order, the political economy of rebel governance, and the decline and demise of rebel governance attempts.

This book provides a comprehensive but concise treatment of the subject of derivatives. It focuses on making essential concepts accessible to a wider audience. The book eschews complicated mathematics and high school level mathematics is sufficient to understand it. It describes and explains various derivative instruments, their use and pricing, and the functioning of derivative markets. It uses a large number of examples to elucidate concepts and illustrate their real-life application. A distinguishing feature of the book is that it goes beyond the narrow perspective of derivative traders and investors and takes a broader approach which enhances its appeal to a range of readers. This book will be useful for students in the fields of economics, econometrics, derivatives, and finance and financial professionals, bankers and investors.

Mathematics has a reputation of being dull and difficult. Here is an antidote. This lively exploration of arithmetic considers its basic processes and manipulations, demonstrating their value and power and justifying an enduring interest in the subject. With humour and insight, the author shows how basic mathematics relates to everyday life – as true now as when this book was originally published in 1940. The introductory treatment of millions, billions and even trillions could be profitably read by aspiring bankers, economists or politicians. H. G. Wells is gently teased for his mistake in applying the law of proportionality in a novel. McKay politely adjusts the astronomical scales selected by the eminent cosmologist Sir James Jeans. He confidently navigates the hazards of averages, approximations and units. For anyone interested in what numbers mean and how they can be used most effectively, this book will still educate and delight.

Now in its third edition, Mathematical Concepts in the Physical Sciences, 3rd Edition provides a comprehensive introduction to the areas of mathematical physics. It combines all the essential math concepts into one compact, clearly written reference.This book is intended for students who have had a two-semester or three-semester introductory calculus course. Its purpose is to help students develop, in a short time, a basic competence in each of the many areas of mathematics needed in advanced courses in physics, chemistry, and engineering. Students are given sufficient depth to gain a solid foundation (this is not a recipe book). At the same time, they are not overwhelmed with detailed proofs that are more appropriate for students of mathematics. The emphasis is on mathematical methods rather than applications, but students are given some idea of how the methods will be used along with some simple applications.

Line up a deck of 52 cards on a table. Randomly choose two cards and switch them. How many switches are needed in order to mix up the deck? Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space this book develops the necessary tools for the asymptotic analysis of these processes. This detailed study culminates with the case-by-case analysis of the cut-off phenomenon discovered by Persi Diaconis. This self-contained text is ideal for graduate students and researchers working in the areas of representation theory, group theory, harmonic analysis and Markov chains. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green's algebras, the complete analysis of the random matchings, and the representation theory of the symmetric group.

This book provides a non-technical overview of the science and tools behind geographic information systems and geographic information science for researchers, students and academics who do not have a

This book provides a non-technical overview of the science and tools behind geographic information systems and geographic information science for researchers, students and academics who do not have a

Primarily intended for postgraduate students and researchers in the fields of condensed matter science, chemical physics and material science, who plan to use the muon spin rotation, relaxation amd re

Bolles has scoured the literature of science to build a treasury that is accessible and riveting, and therefore appealing to readers unfamiliar with science, yet erudite enough for the scientifically

This lively introduction to figurative language explains a broad range of concepts, including metaphor, metonymy, simile, and blending, and develops new tools for analyzing them. It coherently grounds the linguistic understanding of these concepts in basic cognitive mechanisms such as categorization, frames, mental spaces, and viewpoint; and it fits them into a consistent framework which is applied to cross-linguistic data and also to figurative structures in gesture and the visual arts. Comprehensive and practical, the book includes analyses of figurative uses of both word meanings and linguistic constructions. • Provides definitions of major concepts • Offers in-depth analyses of examples, exploring multiple levels of complexity • Surveys figurative structures in different discourse genres • Helps students to connect figurative usage with the conceptual underpinnings of language • Goes beyond English to explore cross-linguistic and cross-modal data

Praise for the Third Edition". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATHThe Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text.The Fourth Edition features important concepts as well as specialized topics, including:The treatment of nilpotent groups, including the Frattini and Fitting subgroupsSymmetric polynomialsThe proof of the fundamental theorem of algebra using symmetric polynomialsThe proof of Wedderburn's theore