For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    Reveals the important contributions of mathematics to the physical and social sciences, philosophy, religion, literature, and art.

    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.

    For five years in his mid-twenties, he sailed on the BEAGLE around the world, exploring jungles, climbing mountains, trekking across deserts. With every new landfall, he had new adventures: he rode through bandit country, was thrown into jail by revolutionaries, took part in an armed raid with marines, survived two earthquakes, hunted and fished. He suffered the terrible cold and rain of Tierra del Fuego, the merciless heat of the Australian outback and the inner pangs of heartbreak. He also made the discoveries that finally led him to formulate his theory of Natural Selection as the driving force of evolution. The five-year voyage of the BEAGLE was the basis for all Darwin's later work; but it also turned him from a friendly idler into the greatest scientist of his century. Kevin Jackson is a writer, broadcaster and film-maker. His most recent book is Constellation of Genius: 1922 and All That Jazz (Farrar Strauss Giroux, 2013). He lives in Cambridge, England.

    Pure Mathematics 1 corresponds to unit P1. It covers quadratics, functions, coordinate geometry, circular measure, trigonometry, vectors, series, differentiation and integration.

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    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.

    Today, these paradoxes remain on the cutting edge of our investigations into the fabric of space and time. Zeno's Paradox uses the motion paradox as a jumping-off point for an exploration of the twenty-five-hundred-year quest to uncover the true nature of the universe. From Galileo to Einstein to Stephen Hawking, some of the greatest minds in history have tackled the problem and made spectacular breakthroughs, but through it all, the paradox of motion remains.

    A child prodigy, Pascal made essential additions to Descartes's work at age sixteen. By age nineteen, he had invented the world's first mechanical calculator. But despite his immense contributions to modern science and mathematical thinking, it is Pascal's wager with God that set him apart from his peers as a man fully engaged with both religious and scientific pursuits.One night in 1654, Pascal had a visit from God, a mystical experience that changed his life. Struggling to explain God's existence to others, Pascal dared to apply his mathematical work to religious faith, playing dice with divinity: he argued for the existence of God, basing his position not on rigorous logical principles as did Aquinas or Anselm of Canterbury, but on outcomes—his famous wager. By applying to the existence of God the same rules that governed the existence and position of the universe itself, Pascal sounded the death knell for medieval "certainties" and paved the way for modern thinking.

    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.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    Although it is usually seen as an unqualified success, the Battle for Normandy was actually a much more closely fought affair. In The D-Day Deception the author and journalist Alex Gerlis explores whether it would have been won at all without the Allied deception operation. It was not until the 1970s that details began to emerge the Allies’ top secret and audacious deception plan. Operation Fortitude succeeded in confusing the Germans about where the Allies were going to land: would it be Normandy, or the Pas de Calais? The D-Day Deception looks at the part the deception played in the eventual Allied victory and asks to what extent it may have been helped by those in the German High Command and intelligence organizations who by 1944 wanted to see a swift end to the war. Alex Gerlis was born in Grimsby, Lincolnshire and now lives with his family in West London. He was a BBC journalist for over 25 years, leaving in 2011 to concentrate on his writing. He is the author of The Best of Our Spies, a highly acclaimed espionage thriller based on D-Day and especially the deception operation that played a big part in its success. The Best of Our Spies was published in December 2012, since when it has featured prominently in the Amazon Kindle Spy best-selling lists and has over 180 Amazon reviews.

    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.

    Three local women notice the couple's suspicious behaviour and apprehend them. The two are handed over to the police, charged and sent for trial. A month later, a young doctor is shot dead on the streets of Mohill, Co. Leitrim. The two incidents are connected, but how? In the days following the shooting of Dr Paddy Muldoon, the name of a local priest was linked to the killing and  rumours abounded of a connection to the events in Dublin a month earlier and also that an IRA gang had been recruited to carry out the murder. However, despite an investigation at the time, the murder remained unsolved for almost 100 years. Now, newly discovered archive material from a range of sources, including the Muldoon family, has made it possible to piece together the circumstances surrounding the doctor's death, and reveals how far senior figures in the Church, State and IRA were willing to go to cover up a scandal.

    Carter would participate in a number of expeditions against the Comanche and other tribes in the Texas-area. It was during one of these campaigns that he was brevetted first lieutenant and awarded the Medal of Honor for his "most distinguished gallantry" against the Comanche in Blanco Canyon on a tributary of the Brazos River on October 10, 1871. He became a successful author in his later years writing several books based on his military career, including On the Border with Mackenzie (1935), as well as a series of booklets detailing his years as an Indian fighter on the Texas frontier. Carter writes: "IT IS nearly fifty years since these tragedies occurred. There are few survivors. The writer is, perhaps, the only one. This is written in the vague hope that this chronicle of the events of that period may possibly prove of some lasting and, perhaps, historical value to posterity. "The country all about the scene of these tragical events—the Texas Panhandle—was then wild, unsettled, covered with sage brush, scrub oak and chaparral, and its only inhabitants were Indians, buffalo, lobo wolves, coyotes, jack-rabbits, prairie-dogs and rattlesnakes, with here and there a few scattered herds of antelope. The railroad, that great civilizing agency, the telegraph, the telephone, and the many other marvelous inventions of man, have wrought such a wonderful transformation in our great western country that the American Indian will, if he has not already, become a race of the past, and history alone will record the remarkable deeds and strange career of an almost extinct people. With these miraculous changes has come the total extermination of the buffalo—the Indians' migratory companion and source of living—and pretty much all of the wild game that in almost countless numbers freely roamed those vast prairies. Where now the railroads girdle that country the nomadic redman lived his free and careless life and the bison thrived and roamed undisturbed at that period— where are now the appliances of modern civilization, and prosperous communities, then nothing but desolation reigned for many miles around. "In the expansion and peopling of this vast country, our little Army was most closely identified. In fact, it was the pioneer of civilization. The life was full of danger, hardships, privations, and sacrifices, little known or appreciated by the present generation. "Where populous towns, ranches and well-tilled farms, grain fields, orchards, and oil "gushers" are now located, with railroads either running through or near them, we were making trails, upon which the main roads now run, in search of hostile savages, for the purpose of punishing them or compelling them to go into the Indian reservations, and to permit the settlers, then held back by the murderous acts of these redskins, to advance and spread the civilization of the white man throughout the western tiers of counties in that far-off western panhandle of Texas."