In this collection of landmark mathematical works, editor Stephen Hawking has assembled the greatest feats humans have ever accomplished using just numbers and their brains.

    Lacking the ability to measure their longitude, sailors throughout the great ages of exploration had been literally lost at sea as soon as they lost sight of land. Thousands of lives, and the increasing fortunes of nations, hung on a resolution.The scientific establishment of Europe—from Galileo to Sir Issac Newton—had mapped the heavens in both hemispheres in its certain pursuit of a celestial answer. In stark contrast, one man, John Harrison, dared to imagine a mechanical solution—a clock that would keep precise time at sea, something no clock had ever been able to do on land. Longitude is a dramatic human story of an epic scientific quest and Harrison's forty-year obsession with building his perfect timekeeper, known today as the chronometer. Full of heroism and chicanery, it is also a fascinating brief history of astronomy, navigation, and clock-making, and opens a new window on our world.On its 10th anniversary, a gift edition of this classic book, with a forward by one of history's greatest explorers, and eight pages of color illustrations.

    He was such a daydreamer that people called him a blockhead.When Leonardo grew up and traveled the world, he was inspired by the numbers used in different countries. Then he realized that many things in nature, from the number of petals on a flower to the spiral of a nautilus shell, seem to follow a certain pattern. The boy who was once teased for being a blockhead had discovered what came to be known as the Fibonacci Sequence!

    Gardner's illuminating autobiography is a candid self-portrait by the man evolutionary theorist Stephen Jay Gould called our single brightest beacon for the defense of rationality and good science against mysticism and anti-intellectualism.Gardner takes readers from his childhood in Oklahoma to his varied and wide-ranging professional pursuits. He shares colorful anecdotes about the many fascinating people he met and mentored, and voices strong opinions on the subjects that matter to him most, from his love of mathematics to his uncompromising stance against pseudoscience. For Gardner, our mathematically structured universe is undiluted hocus-pocus--a marvelous enigma, in other words.Undiluted Hocus-Pocus offers a rare, intimate look at Gardner's life and work, and the experiences that shaped both.

    A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

    The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

     Theo Aronson's The Kaisers is the story of six people whose bitter differences were a microcosm of, and greatly influenced, a national conflict which echoed all round the world. Kaiser Wilhelm I, born 1797, King of Prussia 1861, proclaimed Emperor of all Germany 1871, died only in 1888 an autocratic, militaristic man of the eighteenth century completely opposed to the liberalizing ideas which swept Europe in his lifetime. In contrast his Empress, Augusta, was progressive in thought, open-minded in outlook, yet with all had a taste for the theatrical and pageantry of her royal status. The best of her was seen in their son, Kaiser Frederick III, who was Crown Prince for all but the last few cancer-torn weeks of his life. He personified the best of European liberalism of the nineteenth century. In this he was supported—many said unduly influenced by his energetic and vivacious English wife Victoria, Queen Victoria's eldest and 'Dearest Child', who brought to the marriage the enlightened ideals and hopes of her shrewd, practical mother and her far-seeing father, the Prince Consort. The tragedy, the tempting speculation of Germany's history, is that this couple reigned for only three months before Frederick III's death brought their son to the throne. Kaiser Wilhelm II, 'Kaiser Bill' of the first World War, was again the antithesis of everything his parents stood for. Queen Victoria's hopes that her grandson might be 'wise, sensible, courageous — liberal-minded — good and pure', could hardly have been more misplaced. The sixth, the dominating figure in the Hohenzollern story, is Prince Otto von Bismarck, the ruthless 'Iron Chancellor', virtual dictator of Germany for nearly thirty years. He served all three Kaisers, claiming with justification that on his shoulders he had carried the first to the Imperial throne—where he manipulated him to his will despite the hatred and manoeuvrings of the Empress Augusta. He feared the reign of the short-lived second Kaiser and feared more perhaps (and never missed an opportunity to disparage) the Empress Victoria and the constant, commonsense influence from England of her mother. (`That', he said ruefully after their one meeting, 'was a woman ! One could do business with her ! ') Their son he flattered, siding with him against his parents, and in so doing brought about his own downfall, when the vainglorious young man he had schooled as Crown Prince came as Kaiser to believe that he could do without his mentor. But for Europe it was too late, and the policies of one and the vanities of the other were already leading Europe helter-skelter into the holocaust of 'the Kaiser's War'. Theo Aronson's gifts as a writer have deservedly brought him high regard as a chronicler of the complex histories of Europe's great ruling Houses. Rarely have his talents been better employed than in this study of the comet-like rise and fall of the House of Hohenzollern, the House of the Kaisers of Germany. It is a story of bitter, almost continual conflict, yet even in what can now be seen as a path to inevitable destruction Mr. Aronson finds passages of light and shade that show the Hohenzollerns not simply as Wagnerian puppets posturing on a vast European stage, but people deserving of our understanding and compassion.

    In an era when women were rarely permitted any serious schooling, this twenty-seven-year-old’s nimble conversation and unusual brilliance led Voltaire, then in his late thirties, to wonder, “Why did you only reach me so late?” They fell immediately and passionately in love.Through the prism of their tumultuous fifteen-year relationship we see the crumbling of an ancient social order and the birth of the Enlightenment. Together the two lovers rebuilt a dilapidated and isolated rural chateau at Cirey where they conducted scientific experiments, entertained many of the leading thinkers of the burgeoning scientific revolution, and developed radical ideas about the monarchy, the nature of free will, the subordination of women, and the separation of church and state. But their time together was filled with far more than reading and intellectual conversation. There were frantic gallopings across France, sword fights in front of besieged German fortresses, and a deadly burning of Voltaire’s books by the public executioner at the base of the grand stairwell of the Palais de Justice in Paris. The pair survived court intrigues at Versailles, narrow escapes from agents of the king, a covert mission to the idyllic lakeside retreat of Frederick the Great of Prussia, forays to the royal gambling tables (where Emilie put her mathematical acumen to lucrative use), and intense affairs that bent but did not break their bond.Along with its riveting portrait of Voltaire as a vulnerable romantic, Passionate Minds at last does justice to the supremely unconventional life and remarkable achievements of Emilie du Châtelet—including her work on the science of fire and the nature of light. Long overlooked, her story tells us much about women’s lives at the time of the Enlightenment. Equally important, it demonstrates how this graceful, quick-witted, and attractive woman worked out the concepts that would lead directly to the “squared” part of Einstein’s revolutionary equation: E=mc2.Based on a rich array of personal letters, as well as writings from houseguests, neighbors, scientists, and even police reports, Passionate Minds is both panoramic and intimate in feeling. It is an unforgettable love story and a vivid rendering of the birth of modern ideas.

    A perfect introduction to mathematical concepts for young readers, written by a Newbery honor-winning author!This colorfully illustrated biography of the Greek philosopher and scientist Eratosthenes, who compiled the first geography book and accurately measured the globe's circumference, is just right for budding mathematicians, scientists, historians, and librarians! Filled with fascinating details about Eratosthenes's world (and in print since 1994), kids are sure to flip through the pages time and again.

    Goebbels.And further, for the brilliant account of one of the most breath-taking epochs in English history, when that kingdom was ravaged by a bloody civil war and the tides of fortune swayed from one to the other side of the opposing camps—the King against his parliament, tyranny against freedom—culminating in the dramatic execution of Charles I, and the establishment of a republic, all of which assumes added significance in the light of today’s events.

    He revolutionized the field of topology, which studies properties of geometric configurations that are unchanged by stretching or twisting. The Poincare conjecture lies at the heart of modern geometry and topology, and even pertains to the possible shape of the universe. The conjecture states that there is only one shape possible for a finite universe in which every loop can be contracted to a single point.Poincare's conjecture is one of the seven "millennium problems" that bring a one-million-dollar award for a solution. Grigory Perelman, a Russian mathematician, has offered a proof that is likely to win the Fields Medal, the mathematical equivalent of a Nobel prize, in August 2006. He also will almost certainly share a Clay Institute millennium award.In telling the vibrant story of The Poincare Conjecture, Donal O'Shea makes accessible to general readers for the first time the meaning of the conjecture, and brings alive the field of mathematics and the achievements of generations of mathematicians whose work have led to Perelman's proof of this famous conjecture.

    By tracking a pendulum's path as it swung repeatedly across the interior of the large ceremonial hall, Foucault offered the first definitive proof -- before an audience that comprised the cream of Parisian society, including the future emperor, Napoleon III -- that the earth revolves on its axis.Through careful, primary research, world-renowned author Amir Aczel has revealed the life of a gifted physicist who had almost no formal education in science, and yet managed to succeed despite the adversity he suffered at the hands of his peers. The range and breadth of Foucault's discoveries is astonishing: He gave us the modern electric compass, devised an electric microscope, invented photographic technology, and made remarkable deductions about color theory, heat waves, and the speed of light. Yet until now so little has been known about his life.Richly detailed and evocative, Pendulum tells of the illustrious period in France during the Second Empire; of Foucault's relationship with Napoleon III, a colorful character in his own right; and -- most notably -- of the crucial triumph of science over religion.Dr. Aczel has crafted a fascinating narrative based on the life of this most astonishing and largely unrecognized scientist, whose findings answered many age-old scientific questions and posed new ones that are still relevant today.

    When he was in fourth grade, he even had to drop out of school and work to help his poor family make ends meet. Read all about how the man we know as the famous young chocolatier finally struck it rich -- in money, love, and chocolate!

    But ask a physicist and there’s no doubt that James Clerk Maxwell will be near the top of the list.  Maxwell, an unassuming Victorian Scotsman, explained how we perceive colour. He uncovered the way gases behave. And, most significantly, he transformed the way physics was undertaken in his explanation of the interaction of electricity and magnetism, revealing the nature of light and laying the groundwork for everything from Einstein’s special relativity to modern electronics.   Along the way, he set up one of the most enduring challenges in physics, one that has taxed the best minds ever since. ‘Maxwell’s demon’ is a tiny but thoroughly disruptive thought experiment that suggests the second law of thermodynamics, the law that governs the flow of time itself, can be broken. This is the story of a groundbreaking scientist, a great contributor to our understanding of the way the world works, and his duplicitous demon.

    Retells the story of Louis Pasteur, whose unwavering belief in the concept of germs led to a cure for rabies.