But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    Tackling the questions that had been left open by Being and Event, and answering many of his critics in the process, Badiou supplements his pioneering treatment of multiple being with a daring and complex theory of the worlds in which truths and subjects make their mark - what he calls a materialist dialectic. The radical recasting of ontology in Being and Event is followed and complemented here by a thoroughgoing transformation in our very understanding of logic, conceived as a theory not of being but of appearing. Unafraid to resurrect and reinvent the classical themes of philosophy, Badiou gives new meaning to concepts such as object, body and relation, mobilising them in arresting studies that range from the architectural planning of Brasilia to contemporary astronomy, and confronting himself with towering philosophical counterparts (Leibniz, Kant, Hegel, Kierkegaard, Lacan, Deleuze). The book culminates in an impassioned call to 'live for an Idea'.

    Gödel received public recognition of his work in 1951 when he was awarded the first Albert Einstein Award for achievement in the natural sciences--perhaps the highest award of its kind in the United States. The award committee described his work in mathematical logic as "one of the greatest contributions to the sciences in recent times."However, few mathematicians of the time were equipped to understand the young scholar's complex proof. Ernest Nagel and James Newman provide a readable and accessible explanation to both scholars and non-specialists of the main ideas and broad implications of Gödel's discovery. It offers every educated person with a taste for logic and philosophy the chance to understand a previously difficult and inaccessible subject.New York University Press is proud to publish this special edition of one of its bestselling books. With a new introduction by Douglas R. Hofstadter, this book will appeal students, scholars, and professionals in the fields of mathematics, computer science, logic and philosophy, and science.

    This ideal guide shows us how mathematics can illuminate the human condition.

     The next ten years will be a time of massive transition. The wars in the Islamic world will be subsiding, and terrorism will become something we learn to live with. China will be encountering its crisis. We will be moving from a time when financial crises dominate the world to a time when labor shortages will begin to dominate. The new century will be taking shape in the next decade. In The Next Decade, George Friedman offers readers a pro­vocative and endlessly fascinating prognosis for the immedi­ate future. Using Machiavelli’s The Prince as a model, Friedman focuses on the world’s leaders—particularly the American president—and with his trusted geopolitical insight analyzes the complex chess game they will all have to play. The book also asks how to be a good president in a decade of extraordinary challenge, and puts the world’s leaders under a microscope to explain how they will arrive at the decisions they will make—and the consequences these actions will have for us all.From the Hardcover edition.

    H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

    Before this explosive growth into the modern age took place, an all-but-forgotten genius strove for forty years to win acceptance for the atomic theory of matter and an altogether new way of doing physics. Ludwig Boltz-mann battled with philosophers, the scientific establishment, and his own potent demons. His victory led the way to the greatest scientific achievements of the twentieth century. Now acclaimed science writer David Lindley portrays the dramatic story of Boltzmann and his embrace of the atom, while providing a window on the civilized world that gave birth to our scientific era. Boltzmann emerges as an endearingly quixotic character, passionately inspired by Beethoven, who muddled through the practical matters of life in a European gilded age. Boltzmann's story reaches from fin de siecle Vienna, across Germany and Britain, to America. As the Habsburg Empire was crumbling, Germany's intellectual might was growing; Edinburgh in Scotland was one of the most intellectually fertile places on earth; and, in America, brilliant independent minds were beginning to draw on the best ideas of the bureaucratized old world.Boltzmann's nemesis in the field of theoretical physics at home in Austria was Ernst Mach, noted today in the term Mach I, the speed of sound. Mach believed physics should address only that which could be directly observed. How could we know that frisky atoms jiggling about corresponded to heat if we couldn't see them? Why should we bother with theories that only told us what would probably happen, rather than making an absolute prediction? Mach and Boltzmann both believed in the power of science, but their approaches to physics could not have been more opposed. Boltzmann sought to explain the real world, and cast aside any philosophical criteria. Mach, along with many nineteenth-century scientists, wanted to construct an empirical edifice of absolute truths that obeyed strict philosophical rules. Boltzmann did not get on well with authority in any form, and he did his best work at arm's length from it. When at the end of his career he engaged with the philosophical authorities in the Viennese academy, the results were personally disastrous and tragic. Yet Boltzmann's enduring legacy lives on in the new physics and technology of our wired world.Lindley's elegant telling of this tale combines the detailed breadth of the best history, the beauty of theoretical physics, and the psychological insight belonging to the finest of novels.

    But it was C. P. Snow's Rede lecture of 1959 that brought it to prominence and began a public debate that is still raging in the media today. This 50th anniversary printing of The Two Cultures and its successor piece, A Second Look (in which Snow responded to the controversy four years later) features an introduction by Stefan Collini, charting the history and context of the debate, its implications and its afterlife. The importance of science and technology in policy run largely by non-scientists, the future for education and research, and the problem of fragmentation threatening hopes for a common culture are just some of the subjects discussed.

    After all, we ourselves are the product of evolution, and we can tackle many of our gravest challenges –– from lethal resurgence of antiobiotic–resistant diseases to the wave of extinctions that looms before us –– with a sound understanding of the science.

     The Science Book covers every area of science--astronomy, biology, chemistry, geology, math, and physics, and brings the greatest scientific ideas to life with fascinating text, quirky graphics, and pithy quotes.

    Why do people—even identical twins reared in the same home—differ so much in personality? Armed with an inquiring mind and insights from evolutionary psychology, Judith Rich Harris sets out to solve the mystery of human individuality.

    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.

    But since its birth was announced a century ago in 1898 by William James, pragmatism has played a vital role in almost every area of American intellectual and cultural life, inspiring judges, educators, politicians, poets, and social prophets.Now the major texts of American pragmatism, from William James and John Dewey to Richard Rorty and Cornel West, have been brought together and reprinted unabridged. From the first generation of pragmatists, including the Supreme Court Justice Oliver Wendell Holmes and the founder of semiotics, Charles Sanders Peirce, to the leading figures in the contemporary pragmatist revival, including the philosopher Hilary Putnam, the jurist Richard Posner, and the literary critic Richard Poirier, all the contributors to this volume are remarkable for the wit and vigor of their prose and the mind-clearing force of their ideas. Edited and with an Introduction by Louis Menand, Pragmatism: A Reader will provide both the general reader and the student of American culture with excitement and pleasure.

    To truly flourish, the human spirit needs to be present in its surroundings and attuned to the Now. It needs to act on what it knows is possible and to experience how the smallest actions can have massive consequences. This is the reality of the Prophet’s Way, a path--both literal and figurative--that the author walked with his spiritual mentor Herr Müller that skirts the edge of the precipice, where one can experience a truly spontaneous life under seemingly overwhelming and impossible circumstances.In The Prophet’s Way, Thom Hartmann shares his intense spiritual journey, a story that melds recent discoveries in science with ancient truths. Through insightful and engaging vignettes Hartmann teaches that accepting the challenge to have faith means living on the edge--remaining in the moment--because it is here where the material and spiritual worlds meet. He offers readers a unique view into his experiences of expanded consciousness, providing a powerful example of how we can re-create our future by reconnecting to the sacred heartbeat of the world.

    xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years.  In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it.  Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.