Raymond M. Smullyan — a celebrated mathematician, logician, magician, and author — presents a logical labyrinth of more than 200 increasingly complex problems. The puzzles delve into Gödel’s undecidability theorem and other examples of the deepest paradoxes of logic and set theory. Detailed solutions follow each puzzle.

    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..

    Brick by brick, Bennett dismantles the wall of defenses offered by Clinton and his apologists, and casts the clear light of moral reason and common sense on a shameful chapter in American history.

    Now, in this sweeping, monumental memoir, Novak offers the first full account of his involvement in that affair, while also revealing the fascinating story of his remarkable life and career. This is a singular journey through a half century of stories, scandals, and personal encounters with Washington's most powerful and colorful people. Novak has been a Washington insider since the days when the place was a sleepy southern town and journalism was built on shoe leather and the ability to cultivate and keep sources (not to mention the ability to hold one's liquor). He has covered every president since Truman, known (personally and professionally) virtually all the big movers and shakers in D.C., and broken a number of the biggest stories--the Plame story, we see here, being far from the most important. In this book, he puts it all into perspective. He also reveals the extraordinary transformations that have fundamentally remade Washington, politics, and journalism--and his own role in those transformations. Moving beyond the "first draft of history" that is daily journalism, Novak can at last tell the stories behind the stories. He vividly recalls encounters with the Kennedys (angry meetings with Bobby, a scary ride home in Jack's convertible), his unusual relationship with Lyndon Johnson (who hosted Novak's wedding reception and who, "drunk as a loon," had to be carried out of a bar by the young newsman), a decidedly odd off-the-record lunch with Ronald Reagan, and his first meetings with George W. Bush--at which the veteran journalist seriously underestimated the future president. We meet other fascinating characters as well, from Deng Xiaoping to Ted Turner to Ezra Pound. Writing with bracing candor, Novak tells us how politics and journalism truly operate at the highest levels, both publicly and behind closed doors. He is equally open about his private experience. He writes frankly about the days when his drinking reflected too closely the boozy ways of the town. He acknowledges times when his job took precedence over his family. He is reflective about his political journey to the right. And he writes more personally than ever before about his spiritual journey, from his early life as a secular Jew to his conversion to Catholicism at the age of sixty-seven. Packed with riveting, never-before-told stories, "The Prince of Darkness" is a hugely entertaining and equally perceptive view of fifty years in the life of Washington and the people who cover it.

    Fortunately a deal struck: In exchange for a new home, the refugees will work to restore the planet to health under the watchful eye of Lei Organa Solo.While tempers flare between the Duros and the New republic, Han Solo, his son, Jacen and the Ryn called Droma arrive to keep the peace. They are unaware that Leia is on Duro…and that Luke, Mara and Anakin are on their way, searching for a missing Jedi apprentice. And none realize that the Yuuzhan Vong have chosen this embattled planet as the next target in their brutal coreward thrust.Now, as the fragile stability on Duro threatens to collapse into violence, Jaen Solo must face hisgreatest dilemma: At what point does the use of power become aggression? Whatever he decides, his next step could tip the galaxy’s destiny toward the light or toward the darkness-with the life of someone he loves hanging in the balance…

    R is one of the most powerful and flexible statistical software packages available, and enables the user to apply a wide variety of statistical methods ranging from simple regression to generalized linear modelling. Statistics: An Introduction using R is a clear and concise introductory textbook to statistical analysis using this powerful and free software, and follows on from the success of the author's previous best-selling title Statistical Computing. * Features step-by-step instructions that assume no mathematics, statistics or programming background, helping the non-statistician to fully understand the methodology. * Uses a series of realistic examples, developing step-wise from the simplest cases, with the emphasis on checking the assumptions (e.g. constancy of variance and normality of errors) and the adequacy of the model chosen to fit the data. * The emphasis throughout is on estimation of effect sizes and confidence intervals, rather than on hypothesis testing. * Covers the full range of statistical techniques likely to be need to analyse the data from research projects, including elementary material like t-tests and chi-squared tests, intermediate methods like regression and analysis of variance, and more advanced techniques like generalized linear modelling. * Includes numerous worked examples and exercises within each chapter. * Accompanied by a website featuring worked examples, data sets, exercises and solutions: http: //www.imperial.ac.uk/bio/research/crawl... Statistics: An Introduction using R is the first text to offer such a concise introduction to a broad array of statistical methods, at a level that is elementary enough to appeal to a broad range of disciplines. It is primarily aimed at undergraduate students in medicine, engineering, economics and biology - but will also appeal to postgraduates who have not previously covered this area, or wish to switch to using R.

    Once access to the Internet became a reality for large swathes of the world's population, the amount of data generated each day became huge, and continues to grow exponentially. It includes all our uploaded documents, video, and photos, all our social media traffic, our online shopping, even the GPS data from our cars."Big Data" represents a qualitative change, not simply a quantitative one. The term refers both to the new technologies involved, and to the way it can be used by business and government. Dawn E. Holmes uses a variety of case studies to explain how data is stored, analyzed, and exploited by a variety of bodies from big companies to organizations concerned with disease control. Big data is transforming the way businesses operate, and the way medical research can be carried out. At the same time, it raises important ethical issues; Holmes discusses cases such as the Snowden affair, data security, and domestic smart devices which can be hijacked by hackers.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

    From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy

    The manuscript was a palimpsest-a book made from an earlier codex whose script had been scraped off and the pages used again. Behind the script of the thirteenth-century monk's prayer book, the palimpsest revealed the faint writing of a much older, tenth-century manuscript. Part archaeological detective story, part science, and part history, The Archimedes Codex tells the extraordinary story of this lost manuscript, from its tenth-century creation in Constantinople to the auction block at Christie's, and how a team of scholars used the latest imaging technology to reveal and decipher the original text. What they found was the earliest surviving manuscript by Archimedes (287 b.c.-212 b.c.), the greatest mathematician of antiquity-a manuscript that revealed, for the first time, the full range of his mathematical genius, which was two thousand years ahead of modern science.

    With jampacked pages and a full-color illustration for each entry, the book, opened anywhere, is a call to action. (And it’s guaranteed to make you smarter.) Twelve basic categories include Geometry, Patterns, Numbers, Logic and Probability, and Perception. An easy-to-read key at the top of each game ranks its difficulty on a scale of 1 to 10, while indices in the back cross-reference the puzzles. (You’ll find the answers back there, too.)

    Written by the 19th-century mathematician who also gave us "Alive in Wonderland", they are among the most entertaining logical works ever written, and contain some of the most thought-provoking puzzles ever devised.

    Escher -- goes to some of the strangest spots imaginable. It takes us to a place where the purely intellectual enters our daily world: where our outraged senses, overloaded with grocery bills, the price of gas, and what to eat for lunch, are expected to absorb really bizarre ideas. And no better guide to this weird universe exists than the brilliant thinker Clifford A. Pickover, the 21st century's answer to Buckminster Fuller. Come along as Pickover traces the origins of the Mobius strip from the mid-1800s, when the visionary scientist Dr. August Mobius became the first to describe the properties of one-sided surfaces, to the present, where it is an integral part of mathematics, magic, science, art, engineering, literature, and music. It has become a metaphor for change, strangeness, looping, and rejuvenation. Touching on everything from molecules and metal sculptures to postage stamps, architectural structures, and models of our entire universe, The Mobius Strip is lavishly illustrated and gives readers a glimpse into other worlds and new ways of thinking as Pickover reaches across cultures and dimensions.

    Haskell emerged in the last decade as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvellous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures.This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others.

    mean, margin of error, standard deviation, permutations, and correlations-all using Excel

    This comprehensive new edition of the top-selling PHR/SPHR Study Guide provides you expert preparation and review for these challenging exams as well as comprehensive coverage on labor relations, workforce planning, compensation, OSHA regulations.