Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science. He explores the relationship between Newton and Leibniz, the men behind the calculus; looks at how the mathematics that Euler invented 200 years ago paved the way for the internet and discovers how Fourier transformed our understanding of heat, light and sound. In addition, he finds out how Galois’ mathematics describes the particles that make up our universe, how Gaussian distribution underpins modern medicine, and how Riemann’s maths helped Einstein with his theory of relativity. Finally, he introduces Cantor, who discovered infinite numbers; Poincaré, whose work gave rise to chaos theory; G.H. Hardy, whose work inspired the millions of codes that help to keep the internet safe, and Nicolas Bourbaki, the mathematician who never was. The BBC Radio 4 series looking at the people who shaped modern mathematics, written and presented by Marcus du Sautoy. 1 CDs, 150 minutes

    In Physics of the Impossible, the renowned physicist Michio Kaku explores to what extent the technologies and devices of science fiction that are deemed equally impossible today might well become commonplace in the future.From teleportation to telekinesis, Kaku uses the world of science fiction to explore the fundamentals—and the limits—of the laws of physics as we know them today. He ranks the impossible technologies by categories—Class I, II, and III, depending on when they might be achieved, within the next century, millennia, or perhaps never. In a compelling and thought-provoking narrative, he explains:· How the science of optics and electromagnetism may one day enable us to bend light around an object, like a stream flowing around a boulder, making the object invisible to observers “downstream”· How ramjet rockets, laser sails, antimatter engines, and nanorockets may one day take us to the nearby stars· How telepathy and psychokinesis, once considered pseudoscience, may one day be possible using advances in MRI, computers, superconductivity, and nanotechnology· Why a time machine is apparently consistent with the known laws of quantum physics, although it would take an unbelievably advanced civilization to actually build oneKaku uses his discussion of each technology as a jumping-off point to explain the science behind it. An extraordinary scientific adventure, Physics of the Impossible takes readers on an unforgettable, mesmerizing journey into the world of science that both enlightens and entertains.

    In the eighteenth century, this palace was a world of skulduggery, intrigue, politicking, etiquette, wigs, and beauty spots, where fans whistled open like switchblades and unusual people were kept as curiosities. Lucy Worsley's The Courtiers charts the trajectory of the fantastically quarrelsome Hanovers and the last great gasp of British court life. Structured around the paintings of courtiers and servants that line the walls of the King's Staircase of Kensington Palace-paintings you can see at the palace today-The Courtiers goes behind closed doors to meet a pushy young painter, a maid of honor with a secret marriage, a vice chamberlain with many vices, a bedchamber woman with a violent husband, two aging royal mistresses, and many more. The result is an indelible portrait of court life leading up to the famous reign of George III , and a feast for both Anglophiles and lovers of history and royalty.

    Smallpox. Incurable and horrifying Ebola-related fevers. For two decades, while a fearful world prepared for nuclear winter, an elite team of Russian bioweaponeers began to till a new killing field: a bleak tract sown with powerful seeds of mass destruction—by doctors who had committed themselves to creating a biological Armageddon. Biohazard is the never-before-told story of Russia’s darkest, deadliest, and most closely guarded Cold War secret.   No one knows more about Russia’s astounding experiments with biowarfare than Ken Alibek. Now the mastermind behind Russia’s germ warfare effort reveals two decades of shocking breakthroughs . . . how Moscow’s leading scientists actually reengineered hazardous microbes to make them even more virulent . . . the secrets behind the discovery of an invisible, untraceable new class of biological agents just right for use in political assassinations . . . the startling story behind Russia’s attempt to turn a sample of the AIDS virus into the ultimate bioweapon. And in a chilling work of real-world intrigue, Biohazard offers us all a rare glimpse into a shadowy scientific underworld where doctors manufacture mass destruction, where witnesses to errors are silenced forever, and where ground zero is closer than we ever dared believe.

     Emerging as a market town from a cluster of hill villages in the eighth and seventh centuries B.C., Rome grew to become the ancient world’s preeminent power. Everitt fashions the story of Rome’s rise to glory into an erudite page-turner filled with lasting lessons for our time. He chronicles the clash between patricians and plebeians that defined the politics of the Republic. He shows how Rome’s shrewd strategy of offering citizenship to her defeated subjects was instrumental in expanding the reach of her burgeoning empire. And he outlines the corrosion of constitutional norms that accompanied Rome’s imperial expansion, as old habits of political compromise gave way, leading to violence and civil war. In the end, unimaginable wealth and power corrupted the traditional virtues of the Republic, and Rome was left triumphant everywhere except within its own borders. Everitt paints indelible portraits of the great Romans—and non-Romans—who left their mark on the world out of which the mighty empire grew: Cincinnatus, Rome’s George Washington, the very model of the patrician warrior/aristocrat; the brilliant general Scipio Africanus, who turned back a challenge from the Carthaginian legend Hannibal; and Alexander the Great, the invincible Macedonian conqueror who became a role model for generations of would-be Roman rulers. Here also are the intellectual and philosophical leaders whose observations on the art of government and “the good life” have inspired every Western power from antiquity to the present: Cato the Elder, the famously incorruptible statesman who spoke out against the decadence of his times, and Cicero, the consummate orator whose championing of republican institutions put him on a collision course with Julius Caesar and whose writings on justice and liberty continue to inform our political discourse today. Rome’s decline and fall have long fascinated historians, but the story of how the empire was won is every bit as compelling. With The Rise of Rome, one of our most revered chroniclers of the ancient world tells that tale in a way that will galvanize, inform, and enlighten modern readers.

    Acclaimed writer James Reston, Jr., offers a gripping narrative of the epic battle that left Jerusalem in Muslim hands until the twentieth century, bringing an objective perspective to the gallantry, greed, and religious fervor that fueled the bloody clash between Christians and Muslims.As he recounts this rousing story, Reston brings to life the two legendary figures who led their armies against each other. He offers compelling portraits of Saladin, the wise and highly cultured leader who created a united empire, and Richard the Lionheart, the romantic personification of chivalry who emerges here in his full complexity and contradictions. From its riveting scenes of blood-soaked battles to its pageant of fascinating, larger-than-life characters, Warriors of God is essential history, history that helps us understand today's world.

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index

      Liberty and equality. Human rights. Freedom of thought and expression. Belief in reason and progress. The value of scientific inquiry. These are just some of the ideas that were conceived and developed during the Enlightenment, and which changed forever the intellectual landscape of the Western world. Spanning hundreds of years of history, Anthony Pagden traces the origins of this seminal movement, showing how Enlightenment concepts directly influenced modern culture, making possible a secular, tolerant, and, above all, cosmopolitan world.   Everyone can agree on its impact. But in the end, just what was Enlightenment? A cohesive philosophical project? A discrete time period in the life of the mind when the superstitions of the past were overthrown and reason and equality came to the fore? Or an open-ended intellectual process, a way of looking at the world and the human condition, that continued long after the eighteenth century ended? To address these questions, Pagden introduces us to some of the unforgettable characters who defined the Enlightenment, including David Hume, the Scottish skeptic who advanced the idea of a universal “science of man”; François-Marie Arouet, better known to the world as Voltaire, the acerbic novelist and social critic who challenged the authority of the Catholic Church; and Immanuel Kant, the reclusive German philosopher for whom the triumph of a cosmopolitan world represented the final stage in mankind’s evolution. Comprehensive in his analysis of this heterogeneous group of scholars and their lasting impact on the world, Pagden argues that Enlightenment ideas go beyond the “empire of reason” to involve the full recognition of the emotional ties that bind all human beings together. The “human science” developed by these eminent thinkers led to a universalizing vision of humanity, a bid to dissolve the barriers past generations had attempted to erect between the different cultures of the world.   A clear and compelling explanation of the philosophical underpinnings of the modern world, The Enlightenment is a scintillating portrait of a period, a critical moment in history, and a revolution in thought that continues to this day.Praise for Anthony Pagden’s Worlds at War, winner of the Washington Institute Book Prize   “Bold, panoramic and highly readable, at times a page-turner.”—The New York Times Book Review  “A masterpiece of stunning scope, readability, and relevance. Worlds at War makes epic battles of the past come alive as illuminations of what is happening today in Iraq, Iran, and Afghanistan.”—Strobe Talbott, author of The Great Experiment   “A grand synthesis of military and intellectual history, political philosophy and theology, Worlds at War delivers the old-fashioned pleasures of vivid prose and lively narration.”—Newsday   “Absorbing . . . Pagden writes smart, fluent, lively prose. His book is a pleasure to read.”—The Houston Chronicle  “Timely and provocative . . . enlightening.”—The Plain DealerFrom the Hardcover edition.

    A remarkable popular history of the English Civil War, from the perspectives of those involved in this most significant turning point in British history.The compelling narrative draws on new sources such as letters, memoirs, ballads and plays to bring to life the Roundheads and Cavaliers, the foot soldiers, war widows and witchfinders of one of the most significant turning points in British history, culminating in Oliver Cromwell’s triumph and the execution of Charles I.By blending the political and the personal, Diane Purkiss illuminates both the ideologies behind the English Civil War and the fears of those who fought in it; the men who were destroyed by the conflict and those, such as Oliver Cromwell, who were defined by it.

    This is but a fraction of one man’s life spent collecting every book on every subject – including antique and modern worlds, science and law, as well as playing cards, pornography, and popular music.Who was Hernando Columbus and how did he achieve this?Set to the backdrop of Christopher Columbus’ paradigm-defining explorations of the New World and beyond, and cutting across events of the Renaissance and Reformation, this book follows Hernando Columbus’ bibliomania and curation of the first ever library of its kind.

    Although valuable, the risk is that we ignore variations and end up with a skewed view of reality. In evolutionary terms, the result is a view in which humans are the inevitable pinnacle of evolutionary progress, instead of, as Stephen Jay Gould patiently argues, "a cosmic accident that would never arise again if the tree of life could be replanted." The implications of Gould's argument may threaten certain of our philosophical and religious foundations but will in the end provide us with a clearer view of, and a greater appreciation for, the complexities of our world.

    Coated in red dust, the terrain is bewilderingly empty. And yet multiple spacecraft are circling Mars, sweeping over Terra Sabaea, Syrtis Major, the dunes of Elysium, and Mare Sirenum—on the brink, perhaps, of a staggering find, one that would inspire humankind as much as any discovery in the history of modern science.In this beautifully observed, deeply personal book, Georgetown scientist Sarah Stewart Johnson tells the story of how she and other researchers have scoured Mars for signs of life, transforming the planet from a distant point of light into a world of its own.Johnson’s fascination with Mars began as a child in Kentucky, turning over rocks with her father and looking at planets in the night sky. She now conducts fieldwork in some of Earth’s most hostile environments, such as the Dry Valleys of Antarctica and the salt flats of Western Australia, developing methods for detecting life on other worlds. Here, with poetic precision, she interlaces her own personal journey—as a female scientist and a mother—with tales of other seekers, from Percival Lowell, who was convinced that a utopian society existed on Mars, to Audouin Dollfus, who tried to carry out astronomical observations from a stratospheric balloon. In the process, she shows how the story of Mars is also a story about Earth: This other world has been our mirror, our foil, a telltale reflection of our own anxieties and yearnings.Empathetic and evocative, The Sirens of Mars offers an unlikely natural history of a place where no human has ever set foot, while providing a vivid portrait of our quest to defy our isolation in the cosmos.

    In reality, the flamboyant royal family appear, in many ways, to have behaved much like most other monarchies. Their story, however, is none the less enthralling for that. It is populated by such unforgettable figures as mad Queen Juana, progressing through Spain with her husband’s decaying body; the ‘heroically fertile’ Maria Theresa, and the quixotic Maximilian, ‘Emperor’ of Mexico.

    In the process he tackles the question that has obsessed historians ever since: What made eighteenth-century Britain such fertile soil for inventors? Rosen’s answer focuses on a simple notion that had become enshrined in British law the century before: that people had the right to own and profit from their ideas.    The result was a period of frantic innovation revolving particularly around the promise of steam power. Rosen traces the steam engine’s history from its early days as a clumsy but sturdy machine, to its coming-of-age driving the wheels of mills and factories, to its maturity as a transporter for people and freight by rail and by sea. Along the way we enter the minds of such inventors as Thomas Newcomen and James Watt, scientists including Robert Boyle and Joseph Black, and philosophers John Locke and Adam Smith—all of whose insights, tenacity, and ideas transformed first a nation and then the world. William Rosen is a masterly storyteller with a keen eye for the “aha!” moments of invention and a gift for clear and entertaining explanations of science. The Most Powerful Idea in the World will appeal to readers fascinated with history, science, and the hows and whys of innovation itself.

    William H. Cropper vividly portrays the life and accomplishments of such giants as Galileo and Isaac Newton, Marie Curie and Ernest Rutherford, Albert Einstein and NielsBohr, right up to contemporary figures such as Richard Feynman, Murray Gell-Mann, and Stephen Hawking. We meet scientists--all geniuses--who could be gregarious, aloof, unpretentious, friendly, dogged, imperious, generous to colleagues or contentious rivals. As Cropper captures their personalities, he also offers vivid portraits of their great moments of discovery, their bitter feuds, their relations with family and friends, their religious beliefs and education. In addition, Cropper has grouped these biographies by discipline--mechanics, thermodynamics, particle physics, and others--eachsection beginning with a historical overview. Thus in the section on quantum mechanics, readers can see how the work of Max Planck influenced Niels Bohr, and how Bohr in turn influenced Werner Heisenberg.Our understanding of the physical world has increased dramatically in the last four centuries. With Great Physicists, readers can retrace the footsteps of the men and women who led the way.