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.

    With a hundred dollars in his pocket, a beat up cavalry saddle, and a faraway look in his eye, John Egenes saddled his horse Gizmo and started down the trail on an adventure across the North American continent. Their seven month journey took them across 11 states from California to Virginia, ocean to ocean.. As they left the pressing confinement of the city behind them, the pair experienced the isolation and loneliness of the southwestern deserts, the vastness of the prairie, and the great landscapes that make up America. Across hundreds of miles of empty land they slept with coyotes and wild horses under the stars, and in urban areas they camped alone in graveyards and abandoned shacks. Along the way John and Gizmo were transformed from inexperienced horse and rider to veterans of the trail. With his young horse as his spiritual guide John slowly began to comprehend his own place in the world and to find peace within himself. Full of heart and humor, Egenes serves up a tale that's as big as the America he witnessed, an America that no longer exists. It was a journey that could only have been experienced step by step, mile by mile, from the view between a horse's ears.

    The Story of Western Science shows us the joy and importance of reading groundbreaking science writing for ourselves and guides us back to the masterpieces that have changed the way we think about our world, our cosmos, and ourselves.Able to be referenced individually, or read together as the narrative of Western scientific development, the book's twenty-eight succinct chapters lead readers from the first science texts by Hippocrates, Plato, and Aristotle through twentieth-century classics in biology, physics, and cosmology. The Story of Western Science illuminates everything from mankind's earliest inquiries to the butterfly effect, from the birth of the scientific method to the rise of earth science and the flowering of modern biology.Each chapter recommends one or more classic books and provides entertaining accounts of crucial contributions to science, vivid sketches of the scientist-writers, and clear explanations of the mechanics underlying each concept. The Story of Western Science reveals science to be a dramatic undertaking practiced by some of history's most memorable characters. It reminds us that scientific inquiry is a human pursuit—an essential, often deeply personal, sometimes flawed, frequently brilliant way of understanding the world.In the tradition of her perennial bestseller The-Well Educated Mind, Susan Wise Bauer delivers an accessible, entertaining, and illuminating springboard into the scientific education you never had.

    They have transformed the way we see ourselves - and each other. They have inspired debate, dissent, war and revolution. They have enlightened, outraged, provoked and comforted. They have enriched lives - and destroyed them. Now Penguin brings you the works of the great thinkers, pioneers, radicals and visionaries whose ideas shook civilization and helped make us who we are.Written after the discovery of over forty Bronze Age burial urns in seventeenth-century Norfolk, Sir Thomas Browne's profound consideration of the inevitability of death remains one of the most fascinating and poignant of all reflections upon the vanity of mankind's lust for immortality.

    She was Lord Byron's daughter and acted as interpretress for Charles Babbage, the computer pioneer. She was one of the first people to write programmes of instruction for Babbage's analytical engines.