Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.

    Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and numbers aren't as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means -- by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms. Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they're stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber's thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America's favorite mathematician.

    Physics and Beyond contains Heisenberg’s most sophisticated statements of his philosophy of quantum theory, and is also a watershed inspiration for the contemporary pragmatist philosophy of science that prevails in academia today.

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    Presenting to the world his remarkable observations using the recently invented telescope--the craters of the moon, the satellites of Jupiter--Galileo dramatically challenged our idea of the perfection of the heavens and the centrality of the Earth in the universe. Indeed, the appearance of the little book is regarded as one of the great moments in the history of science. Planned to coincide with the 400th anniversary of the publication of the Starry Messenger, this is a major new biography of Galileo, a fresh and much more rounded view of the great scientist than found in earlier works. Unlike previous biographers, Heilbron shows us that Galileo was far more than a mathematician: he was deeply knowledgeable in the arts, an expert on the epic poet Ariosto, a fine lutenist. More important, Heilbron notes that years of reading the poets and experimenting with literary forms were not mere sidebars--they enabled Galileo to write clearly and plausibly about the most implausible things. Indeed, Galileo changed the world not simply because he revolutionized astronomy, but because he conveyed his discoveries so clearly and crisply that they could not be avoided or denied. If ever a discoverer was perfectly prepared to make and exploit his discovery, it was the dexterous humanist Galileo aiming his first telescope at the sky. In Galileo, John Heilbron captures not only the great scientist, but also the creative, artistic younger man who would ultimately become the champion of Copernicus, the bête-noire of the Jesuits, and the best-known of all martyrs to academic freedom.

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    In this revised and updated edition of his political classic, he offers fascinating new stories of raw ambition, brutal rivalry, and exquisite seduction and reveals the inside rules that govern the game of power.

    It discusses recent Constitutional Amendments, socio-economic changes and educational experiments.About the AuthorR C Majumdar - Former Vice-Chancellor, Dacca University. H C Raychaudhauri - Former Carmichael Professor of Ancient Indian History and Culture, Calcutta University. Kalikinkar Datta - Former Vice-Chancellor Patna University.Table of Contents Part I: Ancient India Part II: Medieval India. Book I: The Muslim Conquest and the Delhi Sultanate. Book II: The Mughul Empire Part III: Modern India. Book I: The Rise and Growth of the British Power. Book II: Modern India Appendices Genealogical Tables to Part III Bibliography to Part III List of Governors-Generals, List of Prime Ministers and Presidents Chronology Index

    However, he unexpectedly became the favored heir to his father after a failed rebellion by his older brothers in 1173. He became king in 1199, though his reign was tumultuous and short. After a brief peace with Phillip II of France, war broke out again in 1202 and King John lost most of his holdings on the continent. This, coupled with unpopular fiscal policies and treatment of nobles back home, led to conflict upon his return from battle. Buffeted from all sides, King John was pushed in 1215 to sign along with his barons the Magna Carta, a precursor to constitutional governance. But both sides failed to uphold the agreements terms and conflict quickly resumed, leading to John's untimely death a year later to dysentery.Pitched at newcomers to the subject, 1215 and All That will explain how King John's rule and, in particular, his signing of the Magna Carta changed England--and the English--forever, introducing readers to the early days of medieval England. It is the third book in the acclaimed A Very, Very Short History of England series, which captures the major moments of English history with humor and bite.

    Miller's lifelong purpose to answer: What was the underlying aim of the first colonists in coming to America? In what light did they see themselves? As men and women undertaking a mission that was its own cause and justification? Or did they consider themselves errand boys for a higher power which might, as is frequently the habit of authority, change its mind about the importance of their job before they had completed it?These questions are by no means frivolous. They go to the roots of seventeenth-century thought and of the ever-widening and quickening flow of events since then. Disguised from twentieth-century readers first by the New Testament language and thought of the Puritans and later by the complacent transcendentalist belief in the oversoul, the related problems of purpose and reason-for-being have been central to the American experience from the very beginning. Mr. Miller makes this abundantly clear and real, and in doing so allows the reader to conclude that, whatever else America might have become, it could never have developed into a society that took itself for granted.The title, Errand into the Wilderness, is taken from the title of a Massachusetts election sermon of 1670. Like so many jeremiads of its time, this sermon appeared to be addressed to the sinful and unregenerate whom God was about to destroy. But the original speaker's underlying concern was with the fateful ambiguity in the word errand. Whose errand?This crucial uncertainty of the age is the starting point of Mr. Miller's engrossing account of what happened to the European mind when, in spite of itself, it began to become something other than European. For the second generation in America discovered that their heroic parents had, in fact, been sent on a fool's errand, the bitterest kind of all; that the dream of a model society to be built in purity by the elect in the new continent was now a dream that meant nothing more to Europe. The emigrants were on their own. Thus left alone with America, who were they? And what were they to do?In this book, as in all his work, the author of The New England Mind: The Seventeenth Century; The New England Mind: From Colony to Province, and The Transcendentalists, emphasizes the need for understanding the human sources from which the American mainstream has risen. In this integrated series of brilliant and witty essays which he describes as "pieces," Perry Miller invites and stimulates in the reader a new conception of his own inheritance.

    Rather, they recruited an elite group of young women who, with only pencil, paper, and mathematical prowess, transformed rocket design, helped bring about the first American satellites, and made the exploration of the solar system possible. For the first time, Rise of the Rocket Girls tells the stories of these women--known as "human computers"--who broke the boundaries of both gender and science. Based on extensive research and interviews with all the living members of the team, Rise of the Rocket Girls offers a unique perspective on the role of women in science: both where we've been, and the far reaches of space to which we're heading.

    This original work explains how Europe managed to become the dominant player on the world stage for four glorious centuries, effecting one of the most enormous turnarounds in history. Professor Cipolla argues that the force that effected this enormous change was the simultaneous development of guns and sailing ships, and the fusion of the two into a weapon that swept all before it--the gun-carrying ocean-going sailing ship. Ranging in subject from bell-casting to Jesuit missions, and in area from the uncultivated woods of Sussex to the imperial court of China, this book shows how the resources of capital and labor were used to make the most of technological advances that would shape history and the world we know today.

    Each person treats his body as an image of society and Mary Douglas examines the varieties of ritual and symbolic expression and the patterns of social ritual in which they are embodied.Natural Symbols is a book about religion, and less directly, about style. It concerns our own society at least as much as any other, and it has stimulated new insights into religious and political movements and has provoked re-appraisals of current progressive orthodoxies in many fields.

    But now, with the aid of high-speed computers, scientists have been able to penetrate a reality that is changing the way we perceive the universe. Their findings -- the basis for chaos theory -- represent one of the most exciting scientific pursuits of our time.No better introduction to this find could be found than John Briggs and F. David Peat's Turbulent Mirror. Together, they explore the many faces of chaos and reveal how its law direct most of the processes of everyday life and how it appears that everything in the universe is interconnected -- discovering an "emerging science of wholeness."Turbulent Mirror introduces us to the scientists involved in study this endlessly strange field; to the theories that are turning our perception of the world on its head; and to the discoveries in mathematics, biology, and physics that are heralding a revolution more profound than the one responsible for producing the atomic bomb. With practical applications ranging from the control of traffic flow and the development of artifical intelligence to the treatment of heart attacks and schizophrenia, chaos promises to be an increasingly rewarding area of inquiry -- of interest to everyone.

    Alexander Etkind traces how the Russian Empire conquered foreign territories and domesticated its own heartlands, thereby colonizing many peoples, Russians included. This vision of colonization as simultaneously internal and external, colonizing one's own people as well as others, is crucial for scholars of empire, colonialism and globalization. Starting with the fur trade, which shaped its enormous territory, and ending with Russia's collapse in 1917, Etkind explores serfdom, the peasant commune, and other institutions of internal colonization. His account brings out the formative role of foreign colonies in Russia, the self-colonizing discourse of Russian classical historiography, and the revolutionary leaders' illusory hopes for an alliance with the exotic, pacifist sectarians. Transcending the boundaries between history and literature, Etkind examines striking writings about Russia's imperial experience, from Defoe to Tolstoy and from Gogol to Conrad. This path-breaking book blends together historical, theoretical and literary analysis in a highly original way. It will be essential reading for students of Russian history and literature and for anyone interested in the literary and cultural aspects of colonization and its aftermath.