"A gem…An unforgettable account of one of the great moments in the history of human thought." —Steven PinkerProbing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

    Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

    [captures] the relentless urgency of Lucretius' didacticism, his passionate conviction and proselytizing fervour.' --The Classical Review

    The central work by one of the century's most influential thinkers, it altered the course of western philosophy. Its revolutionary approach challenged all previous assumptions about the individual's relationship with the world. Known as 'the Bible of existentialism', its impact on culture & literature was immediate & was felt worldwide, from the absurdist drama of Samuel Beckett to the soul-searching cries of the Beat poets.Being & Nothingness is one of those rare books whose influence has affected the mindset of subsequent generations. Seventy years after its 1st publication, its message remains as potent as ever--challenging readers to confront the fundamental dilemmas of human freedom, choice, responsibility & action.

    The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    . . full of intellectual treats and tricks, of whimsy and deep scientific philosophy. It is highbrow entertainment at its best, a teasing challenge to all who aspire to think about the universe." — New York Herald TribuneOne of the world's foremost nuclear physicists (celebrated for his theory of radioactive decay, among other accomplishments), George Gamow possessed the unique ability of making the world of science accessible to the general reader.He brings that ability to bear in this delightful expedition through the problems, pleasures, and puzzles of modern science. Among the topics scrutinized with the author's celebrated good humor and pedagogical prowess are the macrocosm and the microcosm, theory of numbers, relativity of space and time, entropy, genes, atomic structure, nuclear fission, and the origin of the solar system.In the pages of this book readers grapple with such crucial matters as whether it is possible to bend space, why a rocket shrinks, the "end of the world problem," excursions into the fourth dimension, and a host of other tantalizing topics for the scientifically curious. Brimming with amusing anecdotes and provocative problems, One Two Three . . . Infinity also includes over 120 delightful pen-and-ink illustrations by the author, adding another dimension of good-natured charm to these wide-ranging explorations.Whatever your level of scientific expertise, chances are you'll derive a great deal of pleasure, stimulation, and information from this unusual and imaginative book. It belongs in the library of anyone curious about the wonders of the scientific universe. "In One Two Three . . . Infinity, as in his other books, George Gamow succeeds where others fail because of his remarkable ability to combine technical accuracy, choice of material, dignity of expression, and readability." — Saturday Review of Literature

    It would become the world's most baffling mathematical mystery. Simple, elegant, and utterly impossible to prove, Fermat's Last Theorem captured the imaginations of amateur and professional mathematicians for over three centuries. For some it became a wonderful passion. For others it was an obsession that led to deceit, intrigue, or insanity. In a volume filled with the clues, red herrings, and suspense of a mystery novel, Dr. Amir Aczel reveals the previously untold story of the people, the history, and the cultures that lie behind this scientific triumph. From formulas devised for the farmers of ancient Babylonia to the dramatic proof of Fermat's theorem in 1993, this extraordinary work takes us along on an exhilarating intellectual treasure hunt. Revealing the hidden mathematical order of the natural world in everything from stars to sunflowers, "Fermat's Last Theorem" brilliantly combines philosophy and hard science with investigative journalism. The result: a real-life detective story of the intellect, at once intriguing, thought-provoking, and impossible to put down.

    With this work, he created the history of philosophy as a scientific study. He reveals philosophical theory as neither an accident nor an artificial construct, but as an exemplar of its age, fashioned by its antecedents and contemporary circumstances, and serving as a model for the future. The author himself appears to have regarded this book as a popular introduction to his philosophy as a whole, and it remains the most readable and accessible of all his philosophical writings.Eschewing the methods of original history (written during the period in question) and reflective history (written after the period has passed), Hegel embraces philosophic history, which employs a priori philosophical thought to interpret history as a rational process. Reason rules history, he asserts, through its infinite freedom (being self-sufficient, it depends on nothing beyond its own laws and conclusions) and power (through which it forms its own laws). Hegel argues that all of history is caused and guided by a rational process, and God's seemingly unknowable plan is rendered intelligible through philosophy. The notion that reason rules the world, he concludes, is both necessary to the practice of philosophic history and a conclusion drawn from that practice.

    S. Eliot, Marcel Proust, James Joyce, and Gertrude Stein. As Alfred Kazin later wrote, "Wilson was an original, an extraordinary literary artist . . . He could turn any literary subject back into the personal drama it had been for the writer."