This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    The horror of the First World War is still fresh for the protagonists of Time of the Magicians, each of whom finds himself at a crucial juncture. Benjamin, whose life is characterized by false starts and unfinished projects, is trying to flee his overbearing father and floundering in his academic career, living hand to mouth as a critic. Wittgenstein, by contrast, has dramatically decided to divest himself of the monumental fortune he stands to inherit, as a scion of one of the wealthiest industrial families in Europe, in search of absolute spiritual clarity. Meanwhile, Heidegger, having managed to avoid combat in war by serving instead as a meteorologist, is carefully cultivating his career, aligning himself with the great Edmund Husserl and renouncing his prior Catholic associations. Finally, Cassirer is working furiously on the margins of academia, applying himself intensely to his writing and the possibility of a career at Hamburg University. The stage is set for a great intellectual drama, which will unfold across the next decade. The lives and ideas of this extraordinary philosophical quartet will converge as they become world historical figures. But as the Second World War looms on the horizon, their fates will be very different.Wolfram Eilenberger stylishly traces the paths of these remarkable and turbulent lives, which feature not only philosophy but some of the most important economists, politicians, journalists, and artists of the century, including John Maynard Keynes, Hannah Arendt, and Bertrand Russell. In doing so, he tells a gripping story about some of history's most ambitious and passionate thinkers, and illuminates with rare clarity and economy their brilliant ideas, which all too often have been regarded as enigmatic or opaque.

    Pauli was fascinated by the inner reaches of his own psyche and not afraid to dabble in the occult, while Jung looked to science for answers to the psychological questions that tormented him. Their rich friendship led them, in Jung’s words, into “the no-man’s land between physics and the psychology of the unconscious . . . the most fascinating yet the darkest hunting ground of our times.” Both were obsessed with the far-reaching significance of the number “137”—a primal number that seemed to hint at the origins of the universe itself. Their quest to solve its enigma led them on a lifelong journey into the ancient secrets of alchemy, the work of Johannes Kepler, and the Chinese Book of Changes. This is the captivating story of an extraordinary and fruitful collaboration between two of the greatest thinkers of the twentieth century.

    Einstein himself said it was “the most valuable theory of my life,” and “of incomparable beauty.” It describes the evolution of the universe, black holes, the behavior of orbiting neutron stars, and why clocks run slower on the surface of the earth than in space. It even suggests the possibility of time travel.And yet when we think of Einstein's breakthrough year, we think instead of 1905, the year of Einstein's Special Theory of Relativity and his equation E=mc2, as his annus mirabilis, even though the Special Theory has a narrower focus.Today the General Theory is overshadowed by these achievements, regarded as 'too difficult' for ordinary mortals to comprehend. In Einstein's Masterwork, John Gribbin puts Einstein's astonishing breakthrough in the context of his life and work, and makes it clear why his greatest year was indeed 1915 and his General Theory his true masterpiece.

    Discovering untold aspects of Sartre's private and political life, Cohen-Solal weaves together all the elements of an exceptional career. From the description of his previously unknown father to the painful last moments of Sartre's own declining years, this is biography on the grandest scale.

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal.

    a personal confession of its creator and a kind of involuntary and unperceived memoir.". Stewart affirms this maxim in his colorful reinterpretation of the lives and works of 17th-century philosophers Spinoza and Leibniz. In November 1676, the foppish courtier Leibniz, "the ultimate insider... an orthodox Lutheran from conservative Germany," journeyed to The Hague to visit the self-sufficient, freethinking Spinoza, "a double exile... an apostate Jew from licentious Holland." A prodigious polymath, Leibniz understood Spinoza's insight that "science was in the process of rendering the God of revelation obsolete; that it had already undermined the special place of the human individual in nature." Spinoza embraced this new world. Seeing the orthodox God as a "prop for theocratic tyranny," he articulated the basic theory for the modern secular state. Leibniz, on the other hand, spent the rest of his life championing God and theocracy like a defense lawyer defending a client he knows is guilty. He elaborated a metaphysics that was, at bottom, a reaction to Spinoza and collapses into Spinozism, as Stewart deftly shows. For Stewart, Leibniz's reaction to Spinoza and modernity set the tone for "the dominant form of modern philosophy"—a category that includes Kant, Hegel, Bergson, Heidegger and "the whole 'postmodern' project of deconstructing the phallogocentric tradition of western thought." Readers of philosophy may find much to disagree with in these arguments, but Stewart's wit and profluent prose make this book a fascinating read.

    King, Jerry Garcia, Chet Atkins, and many others. Yet there is no major biography of Reinhardt.Now, in Django, Michael Dregni offers a definitive portrait of this great guitarist. Handsome, charismatic, childlike, and unpredictable, Reinhardt was a character out of a picaresque novel. Born in a gypsy caravan at a crossroads in Belgium, he was almost killed in a freak fire that burned half ofhis body and left his left hand twisted into a claw. But with this maimed left hand flying over the frets and his right hand plucking at dizzying speed, Django became Europe's most famous jazz musician, commanding exorbitant fees--and spending the money as fast as he made it. Dregni not onlychronicles this remarkably colorful life--including a fascinating account of gypsy culture--but he also sheds much light on Django's musicianship. He examines his long musical partnership with violinist St�phane Grappelli--the one suave and smooth, the other sharper and more dissonant--and he tracesthe evolution of their novel string jazz ensemble, Quintette du Hot Club de France. Indeed, the author spotlights Django's amazing musical diversity, describing his swing-styled Nouveau Quintette, his big band Django's Music, and his later bebop ensemble, as well as his many compositions, includingsymphonic pieces influenced by Ravel and Debussy and his unfinished organ mass inspired by Bach. And along the way, the author offers vivid snapshots of the jazz scene in Paris--colorful portraits of Josephine Baker, Bricktop, Louis Armstrong, Coleman Hawkins, and countless others--and of Django'svagabond wanderings around France, Europe, and the United States, where he toured with Duke Ellington.Capturing the extraordinary life and times of one of the great musicians of the twentieth century, Django is a must-read portrait of a true original.

    “They are both brilliantly original and outsiders,” the narrator tells us. “They are both besotted with mathematics. But for all their devotion, mathematics is indifferent, unaltered by any of their dramas . . . Against indifference, I want to tell their stories.” Which she does in a haunting, incantatory voice, the two lives unfolding in parallel narratives that overlap in the magnitude of each man’s achievement and demise: Gödel, delusional and paranoid, would starve himself to death; Turing, arrested for homosexual activities, would be driven to suicide. And they meet as well in the narrator’s mind, where facts are interwoven with her desire and determination to find meaning in the maze of their stories: two men devoted to truth of the highest abstract nature, yet unable to grasp the mundane truths of their own lives.A unique amalgam of luminous imagination and richly evoked historic character and event—A Madman Dreams of Turing Machines is a story about the pursuit of truth and its effect on the lives of two men. A story of genius and madness, incredible yet true.

    

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.

    Here, Sokal teams up with Jean Bricmont to expose the abuse of scientific concepts in the writings of today's most fashionable postmodern thinkers. From Jacques Lacan and Julia Kristeva to Luce Irigaray and Jean Baudrillard, the authors document the errors made by some postmodernists using science to bolster their arguments and theories. Witty and closely reasoned, Fashionable Nonsense dispels the notion that scientific theories are mere "narratives" or social constructions, and explored the abilities and the limits of science to describe the conditions of existence.

    A loosely formed autobiography by Andy Warhol, told with his trademark blend of irony and detachmentIn The Philosophy of Andy Warhol—which, with the subtitle "(From A to B and Back Again)," is less a memoir than a collection of riffs and reflections—he talks about love, sex, food, beauty, fame, work, money, and success; about New York, America, and his childhood in McKeesport, Pennsylvania; about his good times and bad in New York, the explosion of his career in the sixties, and his life among celebrities.