This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, -The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory.- Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer.In the paper, -On Computable Numbers, with an Application to the Entscheidungsproblem, - Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.

    In this elegant, witty, and ultimately profound meditation on what is beautiful, Crispin Sartwell begins with six words from six different cultures - ancient Greek's "to kalon," the Japanese idea of "wabi-sabi," Hebrew's "yapha," the Navajo concept "hozho," Sanskrit "sundara," and our own English-language "beauty." Each word becomes a door onto another way of thinking about, and looking at, what is beautiful in the world, and in our lives. The earthy and the exalted, the imperfect and the ideal: things, spaces, high art, sounds, aromas, nothingness. Sartwell writes about handfuls of beautiful things - among them, a Japanese teapot and Diana Rigg as Mrs. Emma Peel, the pleasure in a well-used hammer and in pop music and in Vermeer's "Girl in a Red Hat."In Sartwell's hands these six names of beauty -and there could be thousands more-are revealed as simple and profound ideas about our world and our selves.

    Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

      “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.”—Nina MacLaughlin, Boston Globe “Engaging, eminently readable . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.”—Judith Goodstein, American Scientist  Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers readers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

    He asks how today's scientists can claim to predict future climate events when even three-day forecasts prove a serious challenge. Can we predict and control epidemics? Can we accurately foresee our financial future? Or will we only find out about tomorrow when tomorrow arrives?

    At the same time adjacent portions of philosophy and logic are discussed. To the existence of what objects may a given scientific theory be said to be committed? And what considerations may suitably guide us in accepting or revising such ontological commitments? These are among the questions dealt with in this book, particular attention being devoted to the role of abstract entities in mathematics. There is speculation on the mechanism whereby objects of one sort or another come to be posited a process in which the notion of identity plays an important part."This volume of essays has a unity and bears throughout the imprint of Quine's powerful and original mind. It is written with the felicity in the choice of words which makes everything that Quine writes a pleasure to read, and which ranks him among the best contemporary writers on abstract subjects." (Cambridge Review)"Professor Quine's challenging and original views are here for the first time presented as a unity. The chief merit of the book is the heart-searching from which it arose and to which it will give rise. In vigour, conciseness, and clarity, it is characteristic of its author." (Oxford Magazine)

    It is precisely because of the unreliability of vision, of memory, of wanting to believe, of induced belief ... that the Sufis say that an objective perception must be acquired before even familiar things can be seen as they are. "Seeker After Truth" goes beyond the familiar "first do this, then do that" style of handbook, transporting the reader to new ranges of perception, according to his or her capacity. Among the many assumptions questioned are: the objective worth of deep emotional feelings; the superiority of man's social habits over those of rats, and the origin of those habits; the evils of deceit ... The magazine Literary Review said about it: "This book ... is food for many different kinds of study - a book unlike anything our society has produced until recently, in its richness, its unexpectedness, its capacity to shock us into seeing ourselves as others see us, both personally and as a society."

    This book helps you even the odds. Using easy-to-understand explanations and examples, it demystifies probability -- and even offers savvy tips to boost your chances of gambling success Discover how to* Conquer combinations and permutations* Understand probability models from binomial to exponential* Make good decisions using probability* Play the odds in poker, roulette, and other games

    It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them.This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.Visit http://minireference.com for more details.

    Every morning, Marcel Proust sipped his two cups of strong coffee with milk, ate a croissant from one boulangerie, dunking it in his coffee as he slowly read the day’s paper with great care—poring over each headline and section. Only Alain de Botton could have pulled so many useful insights from the oeuvre of one the world’s greatest literary masters. Fascinating and vital, How to Take Your Time will urge you to find the wisdom in defying “the self-satisfaction felt by ‘busy’ men—however idiotic their business—at ‘not having time’ to do what you are doing.” A Vintage Shorts Wellness selection. An ebook short.

    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.

    When I was initiated into sannyasa, I thought I had become a different person forever. The reality was far from it. The only solace: I was not the only one. Having met numerous seekers who visit our ashram to meet My Guru, Om Swami, I realized that most of them had similar woes. My failures were everyday failures for others just as much. They too were dancing to the fickle tunes of their unanchored and untamed minds. But there was hope. Simple instructions from the ingenious mind of My master rescued me. It is his infallible wisdom that I have tried to capture in this book. I hope the lessons in these pages bring you as much peace and clarity as they brought me.

    It features a biography of the author, a full-length analysis of the novel, and a great deal more. If you're studying this novel, reading it for your book club, or if you simply want to know more about it, you'll find this guide informative and helpful. Part of a new series of guides to contemporary novels. The aim of the series is to give readers accessible and informative introductions to some of the most popular, most acclaimed and most influential novels of recent years - from ‘The Remains of the Day' to ‘White Teeth'. A team of contemporary fiction scholars from both sides of the Atlantic has been assembled to provide a thorough and readable analysis of each of the novels in question.

    The book has undergone three editions, several reprints, and revised reprints in a span of 13 years. There are many biochemistry textbooks in the market. Some of them are purely basic while others are applied, and there are very few books which cover both these aspects together. For this reason, the students learning biochemistry in their undergraduate courses have to depend on multiple books to acquire a sound knowledge of the subject. This book, ‘Biochemistry’ is unique with a simultaneous and equal emphasis on basic and applied aspects of biochemistry. This textbook offers an integration of medical and pure sciences, comprehensively written to meet the curriculum requirements of undergraduate courses in medical, dental, pharmacy, life-sciences and other categories (agriculture, veterinary, etc.). This book is designed to develop in students a sustained interest and enthusiasm to learn and develop the concepts in biochemistry in a logical and stepwise manner. It incorporates a variety of pedagogic aids, besides colour illustrations to help the students understand the subject quickly and to the maximum. The summary and biomedical/clinical concepts are intended for a rapid absorption and assimilation of the facts and concepts in biochemistry. The self-assessment exercises will stimulate the students to think rather than merely learn the subject. In addition, these exercises (essays, short notes, fill in the blanks, multiple choice questions) set at different difficulty levels, will cater to the needs of all the categories of learners.New to This Edition The book offers an integration of medical and pure sciences, and is comprehensively written, revised and updated to meet the curriculum requirements of Medical, Pharmacy, Dental, Veterinary, Biotechnology, Agricultural Sciences, Life Sciences, and others studying Biochemistry as one of the subjects. It is the first text book on Biochemistry in English with multi-colour illustrations by an author from Asia. The use of multicolours is for a clearer understanding of the complicated biochemical reactions. It is written in a lucid style with the subject being presented as an engaging story growing from elementary information to the most recent advances, and with theoretical discussions being supplemented with illustrations, flowcharts, and tables for easy understanding of Biochemistry. It has each chapter beginning with a four-line verse followed by the text, biomedical concepts, a summary, and self-assessment exercises. The lively illustrations and text with appropriate headings and sub-headings in bold type faces facilitate reading path clarity and quick recall. It provides the most recent and essential information on Molecular Biology and Biotechnology, Diabetes, Cancer, Free Radicals, Free radicals and Antioxidants, Prostaglandins, etc. It describes a wide variety of case studies and biochemical correlations and several newer biomedical aspects- Metabolic syndrome, Therapeutic diets, Atkins diet, Trans fatty acids, Epigenetics, Nutrigenomics, Recombinant ribozymes, Membrane transport disorders, Pleural fluid etc. It contains the basics (Bioorganic and Biophysical Chemistry, Tools of Biochemistry, Immunology, and Genetics) for beginners to learn easily Biochemistry, origins of biochemical words, confusables in Biochemistry, principles of Practical Biochemistry, and Clinical Biochemistry Laboratory.

    But Vidal was also a terrific conversationalist; indeed Dick Cavett once described him as “the best talker since Oscar Wilde.” Vidal was never more eloquent, or caustic, than when let loose on his favorite topic: the history and politics of the United States.This book is made up from four interviews conducted with his long-time interlocutor, the writer and radio host Jon Wiener, in which Vidal grapples with matters evidently close to his heart: the history of the American Empire, the rise of the National Security State, and his own life in politics, both as a commentator and candidate.The interviews cover a twenty-year span, from 1988 to 2008, when Vidal was at the height of his powers. His extraordinary facility for developing an argument, tracing connections between past and present, and drawing on an encyclopedic knowledge of America’s place in the world, are all on full display. And, of course, it being Gore Vidal, an ample sprinkling of gloriously acerbic one-liners is also provided.