In two years, this ring of card savants earned more than three million dollars. Filled with tense action and incredibly close calls, this is a real-life adventure that could have stepped straight out of a Hollywood film.

    They are all versions of a bigger question: how do you live? How do you do the good or honourable thing, while flourishing and feeling happy? This question obsessed Renaissance writers, none more than Michel Eyquem de Montaigne (1533-92), perhaps the first truly modern individual. A nobleman, public official, and wine-grower, he wrote free-roaming explorations of his thought and experience, unlike anything written before. He called them 'essays', meaning 'attempts' or 'tries'. Into them he put whatever was in his head: his tastes in wine and food, his childhood memories, the way his dog's ears twitched when dreaming, as well as the appalling events of the religious civil wars raging around him. The Essays was an instant bestseller, and more than four hundred years later, Montaigne's honesty and charm still draw people to him. Readers come to him in search of companionship, wisdom and entertainment--and in search of themselves. This book, a spirited and singular biography (and the first full life of Montaigne in English for nearly fifty years), relates the story of his life by way of the questions he posed and the answers he explored. It traces his bizarre upbringing (made to speak only Latin), youthful career and sexual adventures, travels, and friendships with the scholar and poet Etienne de La Boétie and with his adopted 'daughter', Marie de Gournay. And as we read, we also meet his readers--who for centuries have found in Montaigne an inexhaustible source of answers to the haunting question, 'how to live?'

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Or the "Phantom of Fine Hall," a figure many students had seen shuffling around the corridors of the math and physics building wearing purple sneakers and writing numerology treatises on the blackboards. The Phantom was John Nash, one of the most brilliant mathematicians of his generation, who had spiraled into schizophrenia in the 1950s. His most important work had been in game theory, which by the 1980s was underpinning a large part of economics. When the Nobel Prize committee began debating a prize for game theory, Nash's name inevitably came up—only to be dismissed, since the prize clearly could not go to a madman. But in 1994 Nash, in remission from schizophrenia, shared the Nobel Prize in economics for work done some 45 years previously.Economist and journalist Sylvia Nasar has written a biography of Nash that looks at all sides of his life. She gives an intelligent, understandable exposition of his mathematical ideas and a picture of schizophrenia that is evocative but decidedly unromantic. Her story of the machinations behind Nash's Nobel is fascinating and one of very few such accounts available in print (the CIA could learn a thing or two from the Nobel committees).

    . . 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

    Simon looks at his distinguished and varied career, continually asking himself whether (and how) what he learned as a scientist helps to explain other aspects of his life.A brilliant polymath in an age of increasing specialization, Simon is one of those rare scholars whose work defines fields of inquiry. Crossing disciplinary lines in half a dozen fields, Simon's story encompasses an explosion in the information sciences, the transformation of psychology by the information-processing paradigm, and the use of computer simulation for modeling the behavior of highly complex systems.Simon's theory of bounded rationality led to a Nobel Prize in economics, and his work on building machines that think--based on the notion that human intelligence is the rule-governed manipulation of symbols--laid conceptual foundations for the new cognitive science. Subsequently, contrasting metaphors of the maze (Simon's view) and of the mind (neural nets) have dominated the artificial intelligence debate.There is also a warm account of his successful marriage and of an unconsummated love affair, letters to his children, columns, a short story, and political and personal intrigue in academe.

    Along the way she considers how to use a chessboard to plan a worldwide dinner party, how to make a chicken-sandwich sandwich, and how to create infinite cookies from a finite ball of dough. Beyond Infinity shows how this little symbol holds the biggest idea of all. "Beyond Infinity is a spirited and friendly guide--appealingly down to earth about math that's extremely far out." --Jordan Ellenberg, author of How Not to Be Wrong "Dr. Cheng . . . has a knack for brushing aside conventions and edicts, like so many pie crumbs from a cutting board." --Natalie Angier, New York Times

    Using Carl Johan Calleman’s research, as well as the ideas of other Mayan Calendar scholars, Barbara Hand Clow examines 16.4 billion years of evolution to decode the creative patterns of Earth--the World Mind. These great patterns culminated in 2011, but subsequent astrological influences have continued to inspire us to attain oneness and enlightenment. The Mayan Code shows how the time cycles of the Calendar match important periods in the evolutionary data banks of Earth and the Milky Way Galaxy. These stages of evolution converged during the final stage of the Calendar, the period between 1999 and 2011. Evidence of the tightening spiral of time that we experience as time speeding up--war and territoriality, resource management and separation from nature--are all part of daily events we must process during the coming years. Barbara Hand Clow counsels that our own personal healing is the most important factor as we prepare to make this critical leap in human evolution--now referred to as the awakening of the World Mind.

    In Buddha she turns to a figure whose thought is still reverberating throughout the world 2,500 years after his death.Many know the Buddha only from seeing countless serene, iconic images. But what of the man himself and the world he lived in? What did he actually do in his roughly eighty years on earth that spawned one of the greatest religions in world history? Armstrong tackles these questions and more by examining the life and times of the Buddha in this engrossing philosophical biography. Against the tumultuous cultural background of his world, she blends history, philosophy, mythology, and biography to create a compelling and illuminating portrait of a man whose awakening continues to inspire millions.

    With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introduction to many of our most beautiful but least understood ideas, from Einsteinian relativity to string theory, and also invites us to consider why the greatest logician of the twentieth century believed the U.S. Constitution contained a terrible contradiction--and whether the universe truly has a future.

    C. Escher and composer Johann Sebastian Bach, discussing common themes in their work and lives. At a deeper level, the book is a detailed and subtle exposition of concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter has emphasized that GEB is not about mathematics, art, and music but rather about how cognition and thinking emerge from well-hidden neurological mechanisms.

    

    In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

    In trying to explain who he was and how he came to be the object of others' admiration and abuse, Rousseau analyses with unique insight the relationship between an elusive but essential inner self and the variety of social identities he was led to adopt. The book vividly illustrates the mixture of moods and motives that underlie the writing of autobiography: defiance and vulnerability, self-exploration and denial, passion, puzzlement, and detachment. Above all, Confessions is Rousseau's search, through every resource of language, to convey what he despairs of putting into words: the personal quality of one's own existence.

    Brilliant and witty, his memoir reveals Steiner's thoughts on the meaning of the western tradition and its philosophic and religious premises.