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

    Three Guides in One! Identification, Values, Lapidary UsesDesigned with beginners in mind, yet filled with valuable technical information for advanced collectors, "Collecting Rocks, Gems and Minerals" takes you from being just someone who appreciates rocks to a true "collector."Easy-to-use, quick reference format arranged by category and color of stoneCovers both lapidary and mineral display materialsProvides values and tips for locating, buying and collectingIncludes organics such as amber, bone, coral, pearl and shellLists chemical group, system, hardness, opacity, fracture, specific gravity and moreContains more than 650 full-color photosForeword by Johann Zenz, world renowned agate expert, author and lecturer

    Captured in lavish detail and sumptuous color, here are scores of objects dating back to the reigns and tombs of such fabled kings and queens as Akhenaten, Nefertiti, and, of course, Tutankhamun, the richest trove of all. From superbly sculpted life-sized statues to elegantly inlaid furniture to funerary urns and myriad implements that guarantee safe passage to the Afterlife, they offer vivid insights into the skillful workmanship and astonishing sophistication of Egyptian culture in the golden age of the pharaohs. Intricate golden jewelry glitters with precious gems, while bas-relief panels depict great events and religious ceremonies. Each photograph is accompanied by a precise description of materials, subject, and significance.

    Keenly aware that the course of the nation's destiny lay westward—and that a "Voyage of Discovery" would be necessary to determine the nature of the frontier—President Thomas Jefferson commissioned Meriwether Lewis to lead an expedition from the Missouri River to the northern Pacific coast and back. From 1804 to 1806, accompanied by co-captain William Clark, the Shoshone guide Sacajawea, and thirty-two men, Lewis mapped rivers, traced the principal waterways to the sea, and established the American claim to the territories of Idaho, Washington, and Oregon. Together the captains kept this journal: a richly detailed record of the flora and fauna they sighted, the native tribes they encountered, and the awe-inspiring landscape they traversed, from their base camp near present-day St. Louis to the mouth of the Columbia River, that has become an incomparable contribution to the literature of exploration and the writing of natural history.

    Schama, the author of the highly acclaimed Citizens and The Embarrassment of Riches, is one of the most popular and celebrated historians of our day, and in this magnificent work he brings history to dramatic life with a wealth of stories and vivid, colorful detail, reanimating familiar figures and events and drawing them skillfully into a powerful and compelling narrative. Schama's perspective moves from the birth of civilization to the Norman Conquest; through the religious wars and turbulance of the Middle Ages to the sovereignties of Henry II, Richard I and King John; through the outbreak of the Black Death, which destroyed nearly half of Europe's population, through the reign of Edward I and the growth of national identity in Wales and Scotland, to the intricate conflicts of the Tudors and the clash between Elizabeth I and Mary Queen of Scots. Driven by the drama of the stories themselves but exploring at the same time a network of interconnected themes--the formation of a nation state, the cyclical nature of power, the struggles between the oppressors and the oppressed--this is a superbly readable and illuminating account of a great nation, and its extraordinary history.

    By presenting actual experiences and analyzing them as they are described, the author conveys the developmental thought processes employed and shows a style of thinking that leads to successful results is something that can be learned. Along with spectacular successes, the author also conveys how failures contributed to shaping the thought processes. Provides the reader with a style of thinking that will enhance a person's ability to function as a problem-solver of complex technical issues. Consists of a collection of stories about the author's participation in significant discoveries, relating how those discoveries came about and, most importantly, provides analysis about the thought processes and reasoning that took place as the author and his associates progressed through engineering problems.

    This is the story of the Roman Empire as seen by the Britons, Gauls, Germans, Hellenes, Persians, and Africans. In place of the propaganda pushed on us by the Romans, we’ll see these people as they really were. The Vandals didn’t vandalize—the Romans did. The Goths didn’t sack Rome—the Romans did. Traversing the landscape of the Roman Empire, Terry Jones brings wit, irreverence, and the very latest scholarship to transform a history that seemed well past its sell-date.

    The linear metaphor is ubiquitous in everyday visual representations of time—in almanacs, calendars, charts, and graphs of all sorts. Even our everyday speech is filled with talk of time having a "before" and an "after" or being "long" and "short." The timeline is such a familiar part of our mental furniture that it is sometimes hard to remember that we invented it in the first place. And yet, in its modern form, the timeline is not even 250 years old. The story of what came before has never been fully told, until now. Cartographies of Time is the first comprehensive history of graphic representations of time in Europe and the United States from 1450 to the present. Authors Daniel Rosenberg and Anthony Grafton have crafted a lively history featuring fanciful characters and unexpected twists and turns. From medieval manuscripts to websites, Cartographies of Time features a wide variety of timelines that in their own unique ways—curving, crossing, branching—defy conventional thinking about the form. A fifty-four-foot-long timeline from 1753 is mounted on a scroll and encased in a protective box. Another timeline uses the different parts of the human body to show the genealogies of Jesus Christ and the rulers of Saxony. Ladders created by missionaries in eighteenth-century Oregon illustrate Bible stories in a vertical format to convert Native Americans. Also included is the April 1912 Marconi North Atlantic Communication chart, which tracked ships, including the Titanic, at points in time rather than by theirgeographic location, alongside little-known works by famous figures, including a historical chronology by the mapmaker Gerardus Mercator and a chronological board game patented by Mark Twain. Presented in a lavishly illustrated edition, Cartographies of Time is a revelation to anyone interested in the role visual forms have played in our evolving conception of history.

    Out of Control chronicles the dawn of a new era in which the machines and systems that drive our economy are so complex and autonomous as to be indistinguishable from living things.

    We see the relentless propaganda, the cut-throat politics, the brutality and repression that lay behind the appearance of unchanging monarchy.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    The Medieval Machine tells how, between the years 900 and 1300, Europeans created their first industrial revolution, which set Western civilization on the road to global dominance. Gimpel describes the main features of this early machine age: the pervasive use of waterpower (the oil of the medieval era); the agricultural innovations that energized the population through better nourishment; the spread of mining along with mechanized iron mills; and the appearance of modern industrial problems such as labor unrest and pollution. This is a story of technology triumphant: architect-engineers were adulated; there were tallest-building contests like those of the twentieth century. The climax comes with the invention of the key modern device-the mechanical clock. The subsequent technological decline, Gimpel explains, was due to plague, famine, and a reversion to mysticism.In the epilogue, Gimpel asserts that the West in his time faced another technological decline; he did not foresee the digital boom of the 1980s and 90s and the development of a post-industrial economies. Nevertheless, his predictions may provide valuable material for historians of the recent past.

    The Gieses take us through the full cycle of a medieval year, dictated by the rhythms of the harvest. We learn what lords and serfs alike would have worn, eaten, and done for leisure, and of the outside threats the castle always hoped to keep at bay.For medieval buffs and anyone who wants to learn more about this fascinating era, Life in a Medieval Castle is as timely today as when it was first published.

    Rebecca Fraser's dramatic portrayal of the scientists, statesmen, explorers, soldiers, traders, and artists who forged Britain's national institutions is the perfect introduction to British history.Just as much as kings and queens, battles and empire, Britain's great themes have been the liberty of the individual, the rule of law, and the parliamentary democracy invented to protect them. Ever since Caractacus and Boudicca surprised the Romans with the bravery of their resistance, Britain has stood out as the home of freedom. From Thomas More to William Wilberforce, from Gladstone to Churchill, Britain's history is studded with heroic figures who have resisted tyranny in all its guises, whether it be the Stuart kings' belief in divine right, the institution of slavery, or the ambitions of Napoleon and Hitler.

    Paper serves nearly every function of our lives. It is the technology with which we have made sense of the world. Yet the age of paper is ending. Ebooks now outsell their physical counterparts. Still, there are some uses of paper that seem unlikely to change - Christmas won't be Christmas without wrapped presents or crackers. And the language of paper - documents, files and folders - has survived digitisation. In Paper: An Elegy Ian Sansom builds a museum of paper and explores its paradox - its vulnerability and durability. This book is a timely meditation on the very paper it's printed on.