The Golden Section—otherwise known as phi, the golden mean, or the golden ratio—is one of the most elegant and beautiful rations in the universe.Defined as a line segment divided into two unequal parts, such that the ratio of the shorter portion to the longer portion is the same as the ratio of the longer portion to the whole, it pops up throughout nature—in water, DNA, the proportions of fish and butterflies, and the number of teeth we possess—as well as in art and architecture, music, philosophy, science, and mathematics.Beautifully illustrated, The Golden Section tells the story of this remarkable construct and its wide-ranging impact on civilization and the natural world.

    Drawing on transcripts from their meetings during their time together at Cal Tech, Mlodinow shares Feynman's provocative thoughts and observations. At once a moving portrait of a friendship and an affecting account of Feynman's final, creative years, this book celebrates the inspiring legacy of one of the greatest thinkers of our time.

    That collaboration would mark the dawn of modern science . . . and end in murder.Johannes Kepler changed forever our understanding of the universe with his three laws of planetary motion. He demolished the ancient model of planets moving in circular orbits and laid the foundation for the universal law of gravitation, setting physics on the course of revelation it follows to this day. Kepler was one of the greatest astronomers of all time. Yet if it hadn't been for the now lesser-known Tycho Brahe, the man for whom Kepler apprenticed, Kepler would be a mere footnote in today's science books. Brahe was the Imperial Mathematician at the court of the Holy Roman Emperor in Prague and the most famous astronomer of his era. He was one of the first great systematic empirical scientists and one of the earliest founders of the modern scientific method. His forty years of planetary observations—an unparalleled treasure of empirical data—contained the key to Kepler's historic breakthrough. But those observations would become available to Kepler only after Brahe's death. This groundbreaking history portrays the turbulent collaboration between these two astronomers at the turn of the seventeenth century and their shattering discoveries that would mark the transition from medieval to modern science. But that is only half the story. Based on recent forensic evidence (analyzed here for the first time) and original research into medieval and Renaissance alchemy—all buttressed by in-depth interviews with leading historians, scientists, and medical specialists—the authors have put together shocking and compelling evidence that Tycho Brahe did not die of natural causes, as has been believed for four hundred years. He was systematically poisoned—most likely by his assistant, Johannes Kepler. An epic tale of murder and scientific discovery, Heavenly Intrigue reveals the dark side of one of history’s most brilliant minds and tells the story of court politics, personal intrigue, and superstition that surrounded the protean invention of two great astronomers and their quest to find truth and beauty in the heavens above.

    It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.

    A strong gravitational wave will briefly change that distance by less than the thickness of a human hair. We have perhaps less than a few tenths of a second to perform this measurement. And we don’t know if this infinitesimal event will come next month, next year or perhaps in thirty years.In 1916 Einstein predicted the existence of gravitational waves: miniscule ripples in the very fabric of spacetime generated by unfathomably powerful events. If such vibrations could somehow be recorded, we could observe our universe for the first time through sound: the hissing of the Big Bang, the whale-like tunes of collapsing stars, the low tones of merging galaxies, the drumbeat of two black holes collapsing into one. For decades, astrophysicists have searched for a way of doing so…In 2016 a team of hundreds of scientists at work on a billion-dollar experiment made history when they announced the first ever detection of a gravitational wave, confirming Einstein’s prediction. This is their story, and the story of the most sensitive scientific instrument ever made: LIGO.Based on complete access to LIGO and the scientists who created it, Black Hole Blues provides a firsthand account of this astonishing achievement: a compelling, intimate portrait of cutting-edge science at its most awe-inspiring and ambitious.

    Scott places the critical problem of the peasant household—subsistence—at the center of this study. The fear of food shortages, he argues persuasively, explains many otherwise puzzling technical, social, and moral arrangements in peasant society, such as resistance to innovation, the desire to own land even at some cost in terms of income, relationships with other people, and relationships with institutions, including the state.Once the centrality of the subsistence problem is recognized, its effects on notions of economic and political justice can also be seen. Scott draws from the history of agrarian society in lower Burma and Vietnam to show how the transformations of the colonial era systematically violated the peasants’ “moral economy” and created a situation of potential rebellion and revolution.Demonstrating keen insights into the behavior of people in other cultures and a rare ability to generalize soundly from case studies, Scott offers a different perspective on peasant behavior that will be of interest particularly to political scientists, anthropologists, sociologists, and Southeast Asianists.“The book is extraordinarily original and valuable and will have a very broad appeal. I think the central thesis is correct and compelling.”—Clifford Geertz “In this major work, … Scott views peasants as political and moral actors defending their values as well as their individual security, making his book vital to an understanding of peasant politics.”—Library Journal

    Indeed, many physicists today believe that there are other dimensions beyond the four of our space-time, and that a unified vision of the various forces of nature can be achieved, if we consider that everything we see around us, from the trees to the stars are nothing but vibrations in hyperspace. Hyperspace theory - and its more recent derivation, superstring theory - is the eye of this revolution. In this book, Michio Kaku shows us a fascinating panorama, which completely changes our view of the cosmos, and takes us on a dazzling journey through new dimensions: wormholes connecting parallel universes, time machines, "baby universes" and more. Similar wonders are emerging in some pages in which everything is explained with elegant simplicity and where the mathematical formulation is replaced by imaginative illustrations that allow the problems to be visualized. The result is a very entertaining and surprising book, which even leaves behind the greatest fantasies of the old science fiction authors.

    Now, two of the world's most eminent thinkers -- University of London physicists David Bohm, a former protege of Einstein's and one of the world's most respected quantum physicists, and Stanford neurophysiologist Karl Pribram, one of the architects of our modern understanding of the brain -- believe that the universe itself may be a giant hologram, quite literally a kind of image or construct created, at least in part, by the human mind. This remarkable new way of looking at the universe explains not only many of the unsolved puzzles of physics, but also such mysterious occurrences as telepathy, out-of-body and near death experiences, "lucid" dreams, and even religious and mystical experiences such as feelings of cosmic unity and miraculous healings.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    Nelson Algren declared it a “City on the Make.” Carl Sandburg dubbed it the “City of Big Shoulders.” Upton Sinclair christened it “The Jungle,” while New Yorkers, naturally, pronounced it “the Second City.” At last there is a book for all of us, whatever we choose to call Chicago. In this magisterial biography, historian Dominic Pacyga traces the storied past of his hometown, from the explorations of Joliet and Marquette in 1673 to the new wave of urban pioneers today. The city’s great industrialists, reformers, and politicians—and, indeed, the many not-so-great and downright notorious—animate this book, from Al Capone and Jane Addams to Mayor Richard J. Daley and President Barack Obama. But what distinguishes this book from the many others on the subject is its author’s uncommon ability to illuminate the lives of Chicago’s ordinary people. Raised on the city’s South Side and employed for a time in the stockyards, Pacyga gives voice to the city’s steelyard workers and kill floor operators, and maps the neighborhoods distinguished not by Louis Sullivan masterworks, but by bungalows and corner taverns.  Filled with the city’s one-of-a-kind characters and all of its defining moments, Chicago: A Biography is as big and boisterous as its namesake—and as ambitious as the men and women who built it.

    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    The authors propose that the 20th century was not only the American century, but also the century of human capital. That is, her educational system made America the richest nation on earth.

    Out of the Gobi draws a vivid picture of the raw human energy and the will to succeed against all odds.Shan only finished elementary school when Mao Zedong's Cultural Revolution tore his country apart. He was a witness to the brutality and absurdity of Mao's policies during one of the most tumultuous eras in China's history. Exiled to the Gobi Desert at age 15 and denied schooling for 10 years, he endured untold hardships without ever giving up his dream for an education. Shan's improbable journey, from the Gobi to the "People's Republic of Berkeley" and far beyond, is a uniquely American success story - told with a splash of humor, deep insight and rich and engaging detail.This powerful and personal perspective on China and America will inform Americans' view of China, humanizing the country, while providing a rare view of America from the prism of a keen foreign observer who lived the American dream.Says former Federal Reserve chair Janet Yellen: "Shan's life provides a demonstration of what is possible when China and the United States come together, even by happenstance. It is not only Shan's personal history that makes this book so interesting but also how the stories of China and America merge in just one moment in time to create an inspired individual so unique and driven, and so representative of the true sprits of both countries."