The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    Passages from Antiquity to Feudalism, the companion volume to Perry Anderson’s highly acclaimed and influential Lineages of the Absolutist State, is a sustained exercise in historical sociology to root the development of absolutism in the diverse routes taken from the slave-based societies of Ancient Greece and Rome to fully-fledged feudalism. In the course of this study Anderson vindicates and refines the explanatory power of a Marxist conception of history, whilst casting a fascinating light on Greece, Rome, the Germanic invasion, nomadic society, and the different patterns of the evolution of feudalism in Northern, Mediterranean, Eastern and Western Europe.

    Smoking has gone from doctor recommended to deadly. We used to think the Earth was the center of the universe and that Pluto was a planet. For decades, we were convinced that the brontosaurus was a real dinosaur. In short, what we know about the world is constantly changing.   But it turns out there’s an order to the state of knowledge, an explanation for how we know what we know. Samuel Arbesman is an expert in the field of scientometrics—literally the science of science. Knowl­edge in most fields evolves systematically and predict­ably, and this evolution unfolds in a fascinating way that can have a powerful impact on our lives.   Doctors with a rough idea of when their knowl­edge is likely to expire can be better equipped to keep up with the latest research. Companies and govern­ments that understand how long new discoveries take to develop can improve decisions about allocating resources. And by tracing how and when language changes, each of us can better bridge gen­erational gaps in slang and dialect.   Just as we know that a chunk of uranium can break down in a measurable amount of time—a radioactive half-life—so too any given field’s change in knowledge can be measured concretely. We can know when facts in aggregate are obsolete, the rate at which new facts are created, and even how facts spread.   Arbesman takes us through a wide variety of fields, including those that change quickly, over the course of a few years, or over the span of centuries. He shows that much of what we know consists of “mesofacts”—facts that change at a middle timescale, often over a single human lifetime. Throughout, he of­fers intriguing examples about the face of knowledge: what English majors can learn from a statistical analysis of The Canterbury Tales, why it’s so hard to measure a mountain, and why so many parents still tell kids to eat their spinach because it’s rich in iron.   The Half-life of Facts is a riveting journey into the counterintuitive fabric of knowledge. It can help us find new ways to measure the world while accepting the limits of how much we can know with certainty.

    She also explores the ambiguous moral implications inherent in this kind of warfare: Are these nefarious forms of weaponry ingenious or cowardly? Admirable or reprehensible?

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    To be curious was to delve into matters that didn't concern you - after all, the original sin stemmed from a desire for forbidden knowledge. Through curiosity our innocence was lost.Yet this hasn't deterred us. Today we spend vast sums trying to recreate the first instants of creation in particle accelerators, out of pure desire to know. There seems now to be no question too vast or too trivial to be ruled out of bounds: Why can fleas jump so high? What is gravity? What shape are clouds? Today curiosity is no longer reviled, but celebrated.Examining how our inquisitive impulse first became sanctioned, changing from a vice to a virtue, Curiosity begins with the age when modern science began, a time that spans the lives of Galileo and Isaac Newton. It reveals a complex story, in which the liberation - and the taming - of curiosity was linked to magic, religion, literature, travel, trade and empire.By examining the rise of curiosity, we can ask what has become of it today: how it functions in science, how it is spun and packaged and sold, how well it is being sustained and honoured, and how the changing shape of science influences the kinds of questions it may ask.

    At the dawn of the 21st millennium the world is still experiencing these anxieties, as seen by the onslaught of fantasies of renewal, doomsday predictions, and New Age prophecies.This fascinating book explores the millenarianism that flourished in western Europe between the eleventh and sixteenth centuries. Covering the full range of revolutionary and anarchic sects and movements in medieval Europe, Cohn demonstrates how prophecies of a final struggle between the hosts of Christ and Antichrist melded with the rootless poor's desire to improve their own material conditions, resulting in a flourishing of millenarian fantasies. The only overall study of medieval millenarian movements, The Pursuit of the Millennium offers an excellent interpretation of how, again and again, in situations of anxiety and unrest, traditional beliefs come to serve as vehicles for social aspirations and animosities.

    Between 1929 and 1932 the Soviet Communist Party struck a double blow at the Russian peasantry: dekulakization, the dispossession and deportation of millions of peasant families, and collectivization, the abolition of private ownership of land and the concentration of the remaining peasants in party-controlled "collective" farms. This was followed in 1932-33 by a "terror-famine," inflicted by the State on the collectivized peasants of the Ukraine and certain other areas by setting impossibly high grain quotas, removing every other source of food, and preventing help from outside--even from other areas of the Soviet Union--from reaching the starving populace. The death toll resulting from the actions described in this book was an estimated 14.5 million--more than the total number of deaths for all countries in World War I.Ambitious, meticulously researched, and lucidly written, The Harvest of Sorrow is a deeply moving testament to those who died, and will register in the Western consciousness a sense of the dark side of this century's history.

    A published version has been keenly awaited ever since the lectures were given, and Berlin had always hoped to complete a book based on them. But despite extensive further work this hope was not fulfilled, and the present volume is an edited transcript of his spoken words.For Berlin, the Romantics set in motion a vast, unparalleled revolution in humanity's view of itself. They destroyed the traditional notions of objective truth and validity in ethics with incalculable, all-pervasive results. As he said of the Romantics elsewhere: The world has never been the same since, and our politics and morals have been deeply transformed by them. Certainly this has been the most radical, and indeed dramatic, not to say terrifying, change in men's outlook in modern times.In these brilliant lectures Berlin surveys the myriad attempts to define Romanticism, distills its essence, traces its developments from its first stirrings to its apotheosis, and shows how its lasting legacy permeates our own outlook. Combining the freshness and immediacy of the spoken word with Berlin's inimitable eloquence and wit, the lectures range over a cast of the greatest thinkers and artists of the eighteenth and nineteenth centuries, including Kant, Rousseau, Diderot, Schiller, Schlegel, Novalis, Goethe, Blake, Byron, and Beethoven. Berlin argues that the ideas and attitudes held by these and other figures helped to shape twentieth-century nationalism, existentialism, democracy, totalitarianism, and our ideas about heroic individuals, individual self-fulfillment, and the exalted place of art. This is the record of an intellectual bravura performance--of one of the century's most influential philosophers dissecting and assessing a movement that changed the course of history.

    His analysis explains not only the deficiencies of the self-regulating market, but the potentially dire social consequences of untempered market capitalism. New introductory material reveals the renewed importance of Polanyi's seminal analysis in an era of globalization and free trade.

    “I walk with a new spring in my step and I look at life through physics-colored eyes,” wrote one such fan. When Lewin’s lectures were made available online, he became an instant YouTube celebrity, and The New York Times declared, “Walter Lewin delivers his lectures with the panache of Julia Child bringing French cooking to amateurs and the zany theatricality of YouTube’s greatest hits.” For more than thirty years as a beloved professor at the Massachusetts Institute of Technology, Lewin honed his singular craft of making physics not only accessible but truly fun, whether putting his head in the path of a wrecking ball, supercharging himself with three hundred thousand volts of electricity, or demonstrating why the sky is blue and why clouds are white. Now, as Carl Sagan did for astronomy and Brian Green did for cosmology, Lewin takes readers on a marvelous journey in For the Love of Physics, opening our eyes as never before to the amazing beauty and power with which physics can reveal the hidden workings of the world all around us. “I introduce people to their own world,” writes Lewin, “the world they live in and are familiar with but don’t approach like a physicist—yet.” Could it be true that we are shorter standing up than lying down? Why can we snorkel no deeper than about one foot below the surface? Why are the colors of a rainbow always in the same order, and would it be possible to put our hand out and touch one? Whether introducing why the air smells so fresh after a lightning storm, why we briefly lose (and gain) weight when we ride in an elevator, or what the big bang would have sounded like had anyone existed to hear it, Lewin never ceases to surprise and delight with the extraordinary ability of physics to answer even the most elusive questions. Recounting his own exciting discoveries as a pioneer in the field of X-ray astronomy—arriving at MIT right at the start of an astonishing revolution in astronomy—he also brings to life the power of physics to reach into the vastness of space and unveil exotic uncharted territories, from the marvels of a supernova explosion in the Large Magellanic Cloud to the unseeable depths of black holes. “For me,” Lewin writes, “physics is a way of seeing—the spectacular and the mundane, the immense and the minute—as a beautiful, thrillingly interwoven whole.” His wonderfully inventive and vivid ways of introducing us to the revelations of physics impart to us a new appreciation of the remarkable beauty and intricate harmonies of the forces that govern our lives.

    Drawing on newly opened archives and the reminiscences of the major players, John Lewis Gaddis explains not just what happened but why—from the months in 1945 when the U.S. and the U.S.S.R. went from alliance to antagonism to the barely averted holocaust of the Cuban Missile Crisis to the maneuvers of Nixon and Mao, Reagan and Gorbachev. Brilliant, accessible, almost Shakespearean in its drama, The Cold War stands as a triumphant summation of the era that, more than any other, shaped our own.

    Yet they remain among the most mysterious of concepts. Is space an entity? Why does time have a direction? Could the universe exist without space and time? Can we travel to the past? Greene has set himself a daunting task: to explain non-intuitive, mathematical concepts like String Theory, the Heisenberg Uncertainty Principle, and Inflationary Cosmology with analogies drawn from common experience. From Newton’s unchanging realm in which space and time are absolute, to Einstein’s fluid conception of spacetime, to quantum mechanics’ entangled arena where vastly distant objects can instantaneously coordinate their behavior, Greene takes us all, regardless of our scientific backgrounds, on an irresistible and revelatory journey to the new layers of reality that modern physics has discovered lying just beneath the surface of our everyday world.

    In this masterfully written and brilliantly informed work of scientific history and explanation, Dr. Thorne, the Feynman Professor of Theoretical Physics at Caltech, leads his readers through an elegant, always human, tapestry of interlocking themes, coming finally to a uniquely informed answer to the great question: what principles control our universe and why do physicists think they know the things they think they know? Stephen Hawking's A Brief History of Time has been one of the greatest best-sellers in publishing history. Anyone who struggled with that book will find here a more slowly paced but equally mind-stretching experience, with the added fascination of a rich historical and human component.

    The author shows that no matter how bizarre a people's behavior may seem, it always stems from concrete social and economic conditions. It is by isolating and identifying these conditions that we will be able to understand and cope with some of our own apparently senseless life styles. In a devastating attack on the shamans of the counterculture, the author states the case for a return to objective consciousness and a rational set of political commitments.