Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.

    The authors are well-known for their clear presentation that makes the material accessible to a a broad audience and requires no special previous mathematical experience. KEY TOPICS: In this new edition, the authors incorporate a somewhat more informal, friendly writing style to present both classical and contemporary theories of computation. Algorithms, complexity analysis, and algorithmic ideas are introduced informally in Chapter 1, and are pursued throughout the book. Each section is followed by problems.

    Learn the Alphabet and pronunciation as well as useful phrases in 8 categories, such as greetings, travel and directions, making friends to business and emergencies. Download, read and enjoy your vacation like never before.

    Illustrated with hundreds of photographs, this visual documentary of Michael Jackson presents all the facts and includes his records, concerts, videos and awards, his public appearances and performances, memorabilia and records you never knew existed.

    This book shows you how to claim your share. Over 200 pages of valuable metal detecting information designed to get you out there finding treasure on your very first outing.Finding treasure with a metal detector is real and doing it is simple and easy once you read this book. There are people finding incredible old coins made from gold and silver, valuable historical relics and old jewelry made from gold, silver and platinum. But you won't find these great treasures unless you know where and how to look. Metal Detecting: A Beginner's Guide shows you this and much more.Veteran detectorist and treasure enthusiast Mark Smith continues to provide great information to anyone interested in the great hobby of metal detecting. In his second book on the subject, he manages to answer the common questions that every novice has when they are thinking about getting started. From choosing the right machine to identifying your valuable treasure, Mark Smith covers these subjects and everything in between in an easy to understand way.While this metal detecting book may be geared towards the novice treasure hunter, there are plenty of choice tips that even experienced treasure hunters can pick up. Mark Smith reveals some of his best guarded metal detecting secrets in this metal detecting guide that puts more treasure in your find's pouch.Fully illustrated diagrams and real life pictures describe in detail the easiest ways to not only locate treasure, but safely recover it as well.Learn how to find more treasure by: understanding common metal detecting terminology, understanding which metal detectors work the best and where, understanding how and why a metal detector works, other equipment you will need, proper etiquette, what you can expect to find, why you should never throw anything away, how to identify your finds, how to identify jewelry, how to tell if it is real gold, how to metal detect with children, which recovery tools work the best, how to recover treasure, how to metal detect private property, how to identify unknown metal detecting finds, metal detecting creeks, rivers and lakes, pinpointing, making weak targets stronger, cleaning your finds, the best places to use your metal detector, selling your finds and more!What are you waiting for? Find out how you can maximize your treasure with this informative metal detecting book today.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Theoretical, yet applied. Statistics for Business and Economics, Eleventh Edition, gives you the best of both worlds. Using a rich array of applications from a variety of industries, McClave/Sincich/Benson clearly demonstrates how to use statistics effectively in a business environment.The book focuses on developing statistical thinking so the reader can better assess the credibility and value of inferences made from data. As consumers and future producers of statistical inferences, readers are introduced to a wide variety of data collection and analysis techniques to help them evaluate data and make informed business decisions. As with previous editions, this revision offers an abundance of applications with many new and updated exercises that draw on real business situations and recent economic events. The authors assume a background of basic algebra.

    The book's careful account is a contemporary balance between theory, application, and historical development, providing it's readers with an insight into how mathematics progresses and is in turn influenced by the natural world.

    

    Two books bound as one.

    Imagine that you face three doors, behind one of which is a prize. You choose one but do not open it. The host--call him Monty Hall--opens a different door, alwayschoosing one he knows to be empty. Left with two doors, will you do better by sticking with your first choice, or by switching to the other remaining door? In this light-hearted yet ultimately serious book, Jason Rosenhouse explores the history of this fascinating puzzle. Using a minimum ofmathematics (and none at all for much of the book), he shows how the problem has fascinated philosophers, psychologists, and many others, and examines the many variations that have appeared over the years. As Rosenhouse demonstrates, the Monty Hall Problem illuminates fundamental mathematical issuesand has abiding philosophical implications. Perhaps most important, he writes, the problem opens a window on our cognitive difficulties in reasoning about uncertainty.

    By 1949, Godel had produced a remarkable proof: In any universe described by the Theory of Relativity, time cannot exist. Einstein endorsed this result reluctantly but he could find no way to refute it, since then, neither has anyone else. Yet cosmologists and philosophers alike have proceeded as if this discovery was never made. In A World Without Time, Palle Yourgrau sets out to restore Godel to his rightful place in history, telling the story of two magnificent minds put on the shelf by the scientific fashions of their day, and attempts to rescue the brilliant work they did together.

    Fundamentals of Biostatistics with CD-Rom.

    From the early Greek influences to the Middle Ages and the Renaissance to the end of the 19th century, trace the fascinating foundation of mathematics as it developed through the ages. Aristotle, Galileo, Kepler, Newton: you know the names. Now here's what they really did, and the effect their discoveries had on our culture, all explained in a way the layperson can understand. Begin with the basis of arithmetic (Plato and the introduction of geometry), and discover why the use of Arabic numerals was critical to the development of both commerce and science. The development of calculus made space travel a reality, while the abacus prefigured the computer. The greats examined in depth include Leonardo da Vinci, a brilliant mathematician as well as artist; Pascal, who laid out the theory of probabilities; and Fermat, whose intriguing theory has only recently been solved.

    . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book ReviewThis major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of New York University noted, "This unique work presents the amazing panorama of mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional analysis, and groups and other algebraic systems.Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference."This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science