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    Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Extensive research and statistics regarding people of color worldwide represent their honorable past-and the agonizing circumstances that have tormented them for the past 300 years.You will learn the answers to these and many more questions: What or who is holding Blacks back from achieving their dreams? Why has the person of color been used and abused for generations? Why is the richest continent, Africa, inhabited by the poorest people? Can a victimization mentality be overcome? So what's wrong with being Black? Nothing.About the Author:Matthew Ashimolowo pastors the largest church in Western Europe, Kingsway International Christian Centre in London. His daily television ministry encourages millions of viewers worldwide, as do his radio programs. Born in Nigeria and now living in Europe, he is a teacher, evangelist, businessman, and award-winning author

    Its rules and pieces have served as a metaphor for society including military strategy, mathematics, artificial intelligence, literature, and the arts. It has been condemned as the devil’s game by popes, rabbis, and imams, and lauded as a guide to proper living by different popes, rabbis, and imams. In his wide-ranging and ever fascinating examination of chess, David Shenk gleefully unearths the hidden history of a game that seems so simple yet contains infinity. From its invention somewhere in India around 500 A.D., to its enthusiastic adoption by the Persians and its spread by Islamic warriors, to its remarkable use as a moral guide in the Middle Ages and its political utility in the Enlightenment, to its crucial importance in the birth of cognitive science and its key role in the new aesthetic of modernism in 20th century art, to its 21st century importance to the development of artificial intelligence and use as a teaching tool in inner-city America, chess has been a remarkably omnipresent factor in the development of civilization. Indeed as Shenk shows, some neuroscientists believe that playing chess may actually alter the structure of the brain, that it may for individuals be what it has been for civilization: a virus that makes us smarter.From the Hardcover edition.

    In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..

    He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.In telling the vibrant story of The Poincare Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

    The "Getting Started" section will give you a great overview and help explain some things for the very beginner. Next, learn some easy stitch patterns in the section "Basic Stitches." When you're ready to try your first project, take a look at the "Potholder Patterns" section, but make sure to read the "Pattern Information & Notes" first for some important stuff that pertains to all the patterns. The ebook is also filled with photos to help you along your way.Why Potholders?Potholders are a great project to work with Tunisian crochet because:• The back/wrong side is hidden between the two layers• Tunisian crochet makes a very thick final product• Working square shapes is easy for the beginnerHave fun, and happy hooking to you!

    Quake, World of Warcraft, Eve Online, and other online games not only offered author Jim Rossignol an excellent escape from the tedium of office life. They also provided him with a diverse global community and a job—as a games journalist.Part personal history, part travel narrative, part philosophical reflection on the meaning of play, This Gaming Life describes Rossignol’s encounters in three cities: London, Seoul, and Reykjavik. From his days as a Quake genius in London’s increasingly corporate gaming culture; to Korea, where gaming is a high-stakes televised national sport; to Iceland, the home of his ultimate obsession, the idiosyncratic and beguiling Eve Online, Rossignol introduces us to a vivid and largely undocumented world of gaming lives.Torn between unabashed optimism about the future of games and lingering doubts about whether they are just a waste of time, This Gaming Life also raises important questions about this new and vital cultural form. Should we celebrate the “serious” educational, social, and cultural value of games, as academics and journalists are beginning to do? Or do these high-minded justifications simply perpetuate the stereotype of games as a lesser form of fun? In this beautifully written, richly detailed, and inspiring book, Rossignol brings these abstract questions to life, immersing us in a vibrant landscape of gaming experiences.“We need more writers like Jim Rossignol, writers who are intimately familiar with gaming, conversant in the latest research surrounding games, and able to write cogently and interestingly about the experience of playing as well as the deeper significance of games.”—Chris Baker, Wired“This Gaming Life is a fascinating and eye-opening look into the real human impact of gaming culture. Traveling the globe and drawing anecdotes from many walks of life, Rossignol takes us beyond the media hype and into the lives of real people whose lives have been changed by gaming. The results may surprise you.”—Raph Koster, game designer and author of A Theory of Fun for Game Design “Is obsessive video gaming a character flaw? In This Gaming Life, Jim Rossignol answers with an emphatic ‘no,’ and offers a passionate and engaging defense of what is too often considered a ‘bad habit’ or ‘guilty pleasure.’”—Joshua Davis, author of The Underdog“This is a wonderfully literate look at gaming cultures, which you don't have to be a gamer to enjoy. The Korea section blew my mind.”—John Seabrook, New Yorker staff writer and author of Flash of Genius and Other True Stories of Inventiondigitalculturebooks is an imprint of the University of Michigan Press and the Scholarly Publishing Office of the University of Michigan Library dedicated to publishing innovative and accessible work exploring new media and their impact on society, culture, and scholarly communication. Visit the website at www.digitalculture.org.

    He finds it in Queensland's spectacular Gulf Country, on the sprawling cattle runs. The Gulf breeds tough men, and Billy is quickly drawn to the excitement and adventure of working with the fiery cattleman and ex-con, Blake Reilly, and his daughter, Jo.Billy finds mateship, danger and romance in the Gulf, but he also finds an untamed land with a history of violence. In the brooding heat and unpredictable storms, the future he had sought unfolds - in ways as turbulent and unexpected as the country itself - and Billy discovers a place where he can at last belong.

    For all ages and all levels of difficulty, these puzzles range from those that can be solved in minutes to those that will beguile for hours.

    This book considers many of those ideas and presents a new solution why three is the magic number.

    It is a seminal RPG (role-playing game) and the inspiration for video games like World of Warcraft and Zelda, fantasy art, and countless other facets of "geek culture." This officially licensed illustrated history provides an unprecedented look at the visual evolution of the game, showing its continued influence on the worlds of pop culture and fantasy. It features more than 700 pieces of artwork--from each edition of the game's core books, supplements, and modules; decades of Dragon and Dungeon magazines; classic advertisements and merchandise; and never-before-seen sketches, large-format canvases, rare photographs, one-of-a-kind drafts, and more from the now-famous designers and artists associated with the game. The superstar author team gained unparalleled access to the archives of Wizards of the Coast and the personal collections of top collectors, as well as the designers and illustrators who created the distinctive characters, concepts, and visuals that have defined fantasy art and gameplay for generations. This is the most comprehensive collection of D&D imagery ever assembled, making this the ultimate collectible for the game's millions of fans around the world.

    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Wood and Bruce F. Wollenberg presented their comprehensive introduction to the engineering and economic factors involved in operating and controlling power generation systems in electric utilities, the electric power industry has undergone unprecedented change. Deregulation, open access to transmission systems, and the birth of independent power producers have altered the structure of the industry, while technological advances have created a host of new opportunities and challenges. In Power Generation, Operation, and Control, Second Edition, Wood and Wollenberg bring professionals and students alike up to date on the nuts and bolts of the field. Continuing in the tradition of the first edition, they offer a practical, hands-on guide to theoretical developments and to the application of advanced operations research methods to realistic electric power engineering problems. This one-of-a-kind text also addresses the interaction between human and economic factors to prepare readers to make real-world decisions that go beyond the limits of mere technical calculations. The Second Edition features vital new material, including: * A computer disk developed by the authors to help readers solve complicated problems * Examination of Optimal Power Flow (OPF) * Treatment of unit commitment expanded to incorporate the Lagrange relaxation technique * Introduction to the use of bounding techniques and other contingency selection methods * Applications suited to the new, deregulated systems as well as to the traditional, vertically organized utilities company Wood and Wollenberg draw upon nearly 30 years of classroom testing to provide valuable data on operations research, state estimation methods, fuel scheduling techniques, and more. Designed for clarity and ease of use, this invaluable reference prepares industry professionals and students to meet the future challenges of power generation, operation, and control.

    The First Edition of this book was highly successful because it reconciled two schools of thought: it skillfully merged the best of traditional calculus with the best of the reform movement. This new edition continues to offer the balanced approach along with Stewart's hallmark features: meticulous accuracy, patient explanations, and carefully graded problems. The content has been refined and the examples and exercises have been updated. In addition, CALCULUS: CONCEPTS AND CONTEXTS, Second Edition now includes a free CD-ROM for students that contains animations, activities, and homework hints. The book integrates the use of the CD throughout by using icons that show students when to use the CD to deepen their understanding of a difficult concept.In CALCULUS: CONCEPTS AND CONTEXTS, this well respected author emphasizes conceptual understanding - motivating students with real world applications and stressing the Rule of Four in numerical, visual, algebraic, and verbal interpretations. All concepts are presented in the classic Stewart style: with simplicity, character, and attention to detail. In addition to his clear exposition, Stewart also creates well thought-out problems and exercises. The definitions are precise and the problems create an ideal balance between conceptual understanding and algebraic skills.