The more we discover, the more puzzling the universe appears to be. How and why are the laws of nature what they are? A philosopher and a physicist, world-renowned for their radical ideas in their fields, argue for a revolution. To keep cosmology scientific, we must replace the old view in which the universe is governed by immutable laws by a new one in which laws evolve. Then we can hope to explain them. The revolution that Roberto Mangabeira Unger and Lee Smolin propose relies on three central ideas. There is only one universe at a time. Time is real: everything in the structure and regularities of nature changes sooner or later. Mathematics, which has trouble with time, is not the oracle of nature and the prophet of science; it is simply a tool with great power and immense limitations. The argument is readily accessible to non-scientists as well as to the physicists and cosmologists whom it challenges.

    A strikingly beautiful woman and a devoted celibate, she lived in a city as turbulent and troubled as Baghdad or Beirut is today. She achieved fame not only in her special field, but also as a philosopher, religious thinker, and teacher who attracted a large popular following. Her life ended tragically in violence at the hands of a rampaging mob of Christian fanatics, who killed her for her "pagan" beliefs, some say at the instigation of St. Cyril of Alexandria.This is the first biography of Hypatia to integrate all aspects of her life. Mathematician Michael Deakin emphasizes that, though she was a philosopher, she was first and foremost a mathematician and astronomer of great accomplishment. In a fascinating narrative that brings to life a richly diverse ancient society, he describes her work so that the mathematics, presented in straightforward terms, finds its true place in the context of her life as a whole. Deakin supplies full detail on the historical, intellectual, and religious context of Hypatia’s times. He also analyzes the pattern of her life and thought, and finally gives an account of the events leading up to her lynch-mob execution. Although this outrageous crime has made Hypatia a powerful symbol of intellectual freedom and feminist aspiration to this day, Deakin makes clear that the important intellectual contributions of her life’s work should not be overshadowed by her tragic death.

    Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    stood in front of the Lincoln Memorial looking out over thousands of troubled Americans who had gathered in the name of civil rights and uttered his now famous words, "I have a dream . . ." It was a speech that changed the course of history.This fortieth-anniversary edition honors Martin Luther King Jr.'s courageous dream and his immeasurable contribution by presenting his most memorable words in a concise and convenient edition. As Coretta Scott King says in her foreword, "This collection includes many of what I consider to be my husband's most important writings and orations." In addition to the famed keynote address of the 1963 march on Washington, the renowned civil rights leader's most influential words included here are the "Letter from a Birmingham Jail," the essay "Pilgrimage to Nonviolence," and his last sermon, "I See the Promised Land," preached the day before he was assassinated.

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    For real.If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel.Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry," from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.

    In this book, Dr. Humphreys explains this phenomenon with his new cosmology including an easy-to-read popular summary and two technical papers.

    A brilliant visual storyteller, Redniss has hand-designed more than 100 color collages to tell Curie’s story, fascinating in its scientific significance and its sometimes whimsical, sometimes haunting mix of romance and intrigue. Bringing together archival photos, images, and clippings with dazzling line drawings and a compelling narrative, Radioactive is far more than just an art book or a graphic novel: It is a stunning visual biography and a true work of art.

    From the transistor to the laser, it s hard to find an aspect of modern life that hasn t been touched by Bell Labs. Why did so many transformative ideas come from Bell Labs? In "The Idea Factory," Jon Gertner traces the origins of some of the twentieth century s most important inventions and delivers a riveting and heretofore untold chapter of American history. At its heart this is a story about the life and work of a small group of brilliant and eccentric men Mervin Kelly, Bill Shockley, Claude Shannon, John Pierce, and Bill Baker who spent their careers at Bell Labs. Their job was to research and develop the future of communications. Small-town boys, childhood hobbyists, oddballs: they give the lie to the idea that Bell Labs was a grim cathedral of top-down command and control.Gertner brings to life the powerful alchemy of the forces at work behind Bell Labs inventions, teasing out the intersections between science, business, and society. He distills the lessons that abide: how to recruit and nurture young talent; how to organize and lead fractious employees; how to find solutions to the most stubbornly vexing problems; how to transform a scientific discovery into a marketable product, then make it even better, cheaper, or both. Today, when the drive to invent has become a mantra, Bell Labs offers us a way to enrich our understanding of the challenges and solutions to technological innovation. Here, after all, was where the foundational ideas on the management of innovation were born. "The Idea Factory" is the story of the origins of modern communications and the beginnings of the information age a deeply human story of extraordinary men who were given extraordinary means time, space, funds, and access to one another and edged the world into a new dimension."

    Astrophysicist Adam Frank traces the question of alien life and intelligence from the ancient Greeks to the leading thinkers of our own time, and shows how we as a civilization can only hope to survive climate change if we recognize what science has recently discovered: that we are just one of ten billion trillion planets in the Universe, and it’s highly likely that many of those planets hosted technologically advanced alien civilizations. What’s more, each of those civilizations must have faced the same challenge of civilization-driven climate change.Written with great clarity and conviction, Light of the Stars builds on the inspiring work of pioneering scientists such as Frank Drake and Carl Sagan, whose work at the dawn of the space age began building the new science of astrobiology; Jack James, the Texas-born engineer who drove NASA’s first planetary missions to success; Vladimir Vernadsky, the Russian geochemist who first envisioned the Earth’s biosphere; and James Lovelock and Lynn Margulis, who invented Gaia theory. Frank recounts the perilous journey NASA undertook across millions of miles of deep space to get its probes to Venus and Mars, yielding our first view of the cosmic laws of planets and climate that changed our understanding of our place in the universe.Thrilling science at the grandest of scales, Light of the Stars explores what may be the largest question of all: What can the likely presence of life on other worlds tell us about our own fate?

    The first is the astonishing achievement of the Human Genome Project, which, it was anticipated, would identify the genetic basis of those characteristics that distinguish humans from their primate cousins. The second is the phenomenal advance in brain imaging that now permits neuroscientists to observe the brain 'in action' and thus account for the remarkable properties of the human mind.But that is not how it has turned out. It is simply not possible to get from the monotonous sequence of genes along the Double Helix to the near infinite diversity of the living world, nor to translate the electrical firing of the brain into the creativity of the human mind. This is not a matter of not knowing all the facts. Rather, science has inadvertently discovered that its theories are insufficient to conjure the wonder of the human experience from the bare bones of our genes and brains.We stand on the brink of a tectonic shift in our understanding of ourselves that will witness the rediscovery of the central premise of Western philosophy that there is 'more than we can know'. Lucid, compelling and utterly engaging, ‘Why Us?’ offers a convincing and provocative vision of the new science of being human.

    Gordon strips engineering of its confusing technical terms, communicating its founding principles in accessible, witty prose.For anyone who has ever wondered why suspension bridges don't collapse under eight lanes of traffic, how dams hold back--or give way under--thousands of gallons of water, or what principles guide the design of a skyscraper, a bias-cut dress, or a kangaroo, this book will ease your anxiety and answer your questions.Structures: Or Why Things Don't Fall Down is an informal explanation of the basic forces that hold together the ordinary and essential things of this world--from buildings and bodies to flying aircraft and eggshells. In a style that combines wit, a masterful command of his subject, and an encyclopedic range of reference, Gordon includes such chapters as "How to Design a Worm" and "The Advantage of Being a Beam," offering humorous insights in human and natural creation.Architects and engineers will appreciate the clear and cogent explanations of the concepts of stress, shear, torsion, fracture, and compression. If you're building a house, a sailboat, or a catapult, here is a handy tool for understanding the mechanics of joinery, floors, ceilings, hulls, masts--or flying buttresses.Without jargon or oversimplification, Structures opens up the marvels of technology to anyone interested in the foundations of our everyday lives.

    In forty-two consecutive scenes, each at a different 'power of ten' level of magnification, readers are taken from the dimension of one billion light years to the realm of the atom. The text and other illustrations depict what we can perceive at each progressively smaller level of magnitude. "A brilliant pictorial and textual embodiment of a wonderful idea." Stephen Jay Gould Videos of Powers of Ten are available from: RITELtd. Cross Tree, Walton Street, Walton in Gordano, Clevedon, Avon BS21 7AW Tel: 01275-340279 Fax: 01275-340327

    How can it be possible that the world we see is not objective reality? And how can our senses be useful if they are not communicating the truth? Hoffman grapples with these questions and more over the course of this eye-opening work.Ever since Homo sapiens has walked the earth, natural selection has favored perception that hides the truth and guides us toward useful action, shaping our senses to keep us alive and reproducing. We observe a speeding car and do not walk in front of it; we see mold growing on bread and do not eat it. These impressions, though, are not objective reality. Just like a file icon on a desktop screen is a useful symbol rather than a genuine representation of what a computer file looks like, the objects we see every day are merely icons, allowing us to navigate the world safely and with ease.The real-world implications for this discovery are huge. From examining why fashion designers create clothes that give the illusion of a more “attractive” body shape to studying how companies use color to elicit specific emotions in consumers, and even dismantling the very notion that spacetime is objective reality, The Case Against Reality dares us to question everything we thought we knew about the world we see.

    He had eighty seconds to exceed the speed of sound and begin the climb to a target no civilian pilot had ever reached. There was a chance he would not come back alive. If he did, he would make history as the world’s first commercial astronaut. The spectacle defied reason, the result of an improbable contest dreamed up by entrepreneur Peter Diamandis, whose vision for a new race to space – requiring small teams to do what only the world’s largest governments had done before – had been dismissed as fantastical. The tale begins in Mount Vernon, N.Y. Diamandis was the son of hard working Greek immigrants who wanted their science prodigy to do the family proud and become a doctor. Peter was a dutiful son, but from the time he was eight years old, staying up late to watch Apollo 11 land on the moon, he had one goal: getting to space. He started a national student space club while at MIT. He launched a rocket company in Houston while getting a medical degree from Harvard - a degree he pursued to improve his chances of becoming an astronaut. But when he realized NASA was winding down manned space flight, Diamandis set out on one of the great entrepreneurial adventure stories of our time. If the government wouldn’t send him to space, he would create a private spaceflight industry and get there himself.In the 1990s, the idea of private space flight was the stuff of science fiction. The undaunted Diamandis found inspiration in an unlikely place: the first golden age of aviation. Reading Charles Lindbergh’s The Spirit of St. Louis, Diamandis was stunned that the aviator had attempted the first transatlantic flight from New York to Paris to win a $25,000 prize. The historic flight galvanized the commercial airline industry. Why, Diamandis thought, couldn’t a similar contest be held for space flight? In 1996, standing under the arch of St. Louis – the city where Lindbergh found his backers - Diamandis announced the $10 million Xprize. To win, a privately funded team would have to build and fly a manned rocket into space twice – in two weeks. The deadline: December 31, 2004.   On a brilliant morning in the Mojave Desert, with little time to spare, a bullet-shaped rocket called SpaceShipOne was launched. The story of SS1, and other scrappy teams in the hunt – all spurred by Diamandis as he struggled to keep the prize afloat – became a testament to the American spirit of ingenuity and oversized dreams. The winning of the Xprize marked the end of the government’s monopoly over space.   Julian Guthrie, author of The Billionaire and The Mechanic, an acclaimed bestselling account of Oracle CEO Larry Ellison’s pursuit of the America’s Cup, thought she knew about obsessive pursuits, but the XPrize race spurred another level of drama, sacrifice, and technical wizardry. With Diamandis’ cooperation, Guthrie had access to all of the players – from Richard Branson and John Carmack to Burt Rutan – and has melded their stories into a spellbinding narrative, a combination of Rocket Boys and The New New Thing. In the end, as Diamandis dreamed, the result wasn’t just a victory for one team; it was the foundation for a new industry, including SpaceX, Virgin Galactic, Blue Origin and others. Today, SpaceShipOne hangs in the Smithsonian’s Air and Space Museum, above the Apollo 11 capsule and next to Lindbergh’s Spirit of St. Louis plane.