Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

    From Egyptian wall paintings to the Venetian Renaissance, impressionism to digital images, Philip Ball tells the fascinating story of how art, chemistry, and technology have interacted throughout the ages to render the gorgeous hues we admire on our walls and in our museums.Finalist for the 2002 National Book Critics Circle Award.

    He charts a path toward a life without illusions and delusions, revealing how we can endure both crisis and transformation, and adapt to a changed scene, as cats have always done.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    Even modern neuroscience has tended, until recently, to concentrate on the cognitive aspects of brain function, disregarding emotions. This attitude began to change with the publication of Descartes’ Error in 1995. Antonio Damasio—"one of the world’s leading neurologists" (The New York Times)—challenged traditional ideas about the connection between emotions and rationality. In this wondrously engaging book, Damasio takes the reader on a journey of scientific discovery through a series of case studies, demonstrating what many of us have long suspected: emotions are not a luxury, they are essential to rational thinking and to normal social behavior.

    They Call It Pacific is an insightful account of events leading up to the war and beyond from an authority on Japanese-American affairs at the time. It is also a thrilling journal detailing Lee’s unbelievable real-time escape from the Philippine Islands with the help of the Filipino resistance. The book contains extensive accounts of the battle for the Philippines on Bataan and Corregidor, interviews with soldiers including General Douglas MacArthur, talks with Japanese prisoners, and descriptions of combat as the author accompanied Navy pilots such as Swede Larson on flights over Guadalcanal. This new edition of They Call It Pacific has been updated with footnotes and images from the Japanese invasion of the Philippines. *Includes original footnotes. *Includes photographs from World War 2.

    He revisits the meme, the unit of cultural information that he named and wrote about in his groundbreaking work The Selfish Gene. He makes moving tributes to friends and colleagues, including a eulogy for novelist Douglas Adams; he shares correspondence with the evolutionary biologist Stephen Jay Gould; and he visits with the famed paleoanthropologists Richard and Maeve Leakey at their African wildlife preserve. He concludes the essays with a vivid note to his ten-year-old daughter, reminding her to remain curious, to ask questions, and to live the examined life.

    Francis Fukuyama's prescient analysis of religious fundamentalism, politics, scientific progress, ethical codes, and war is as essential for a world fighting fundamentalist terrorists as it was for the end of the Cold War. Now updated with a new afterword, The End of History and the Last Man is a modern classic.

     Free BONUS Inside! Voltaire, born François-Marie Arouet in Paris, France, was a writer and leading figure of the Enlightenment. His insistence that all authority could and must be questioned was so radical, he ended up in prison several times and was ultimately exiled. Voltaire’s writings were instrumental in influencing the American and French revolutions. Man as a being with natural rights was a radical concept at the time, but one which the American founding fathers embraced. Voltaire’s anger was specifically directed at the arbitrary powers of the state and the church. The French legal system treated aristocrats differently than ordinary citizens. The Catholic church, too, wielded its dictatorial power. Voltaire incurred the wrath of both kings and bishops with his unrelenting attacks on such abuses of freedom. Unwilling to be silenced, Voltaire continued his demand for individual freedom throughout the span of his entire life. Only after his death was he officially welcomed back to Paris, and Voltaire’s remains now rest in the Parisian Panthéon, the burial place for the country’s national heroes. Discover a plethora of topics such as Literary Success and Financial Failure Émilie: The Love of His Life Years in Exile Candide and Morality Voltaire’s Final Year and Death And much more! So if you want a quick and easy to read book on Voltaire, simply scroll up and click the "Buy now" button for instant access!

    It is a collection of essays, observations and rituals, and outlines LaVey's Satanic ideology. It contains the core principles of the Church of Satan and is considered the foundation of the philosophy and dogma that constitute LaVeyan Satanism.

    Yates traces the art of memory from its treatment by Greek orators, through its Gothic transformations in the Middle Ages, to the occult forms it took in the Renaissance, and finally to its use in the seventeenth century. This book, the first to relate the art of memory to the history of culture as a whole, was revolutionary when it first appeared and continues to mesmerize readers with its lucid and revelatory insights.

    In Objectivity, Lorraine Daston and Peter Galison chart the emergence of objectivity in the mid-nineteenth-century sciences -- and show how the concept differs from alternatives, truth-to-nature and trained judgment. This is a story of lofty epistemic ideals fused with workaday practices in the making of scientific images.From the eighteenth through the early twenty-first centuries, the images that reveal the deepest commitments of the empirical sciences -- from anatomy to crystallography -- are those featured in scientific atlases: the compendia that teach practitioners of a discipline what is worth looking at and how to look at it. Atlas images define the working objects of the sciences of the eye: snowflakes, galaxies, skeletons, even elementary particles.Galison and Daston use atlas images to uncover a hidden history of scientific objectivity and its rivals. Whether an atlas maker idealizes an image to capture the essentials in the name of truth-to-nature or refuses to erase even the most incidental detail in the name of objectivity or highlights patterns in the name of trained judgment is a decision enforced by an ethos as well as by an epistemology.As Daston and Galison argue, atlases shape the subjects as well as the objects of science. To pursue objectivity -- or truth-to-nature or trained judgment -- is simultaneously to cultivate a distinctive scientific self wherein knowing and knower converge. Moreover, the very point at which they visibly converge is in the very act of seeing not as a separate individual but as a member of a particular scientific community. Embedded in the atlas image, therefore, are the traces of consequential choices about knowledge, persona, and collective sight. Objectivity is a book addressed to any one interested in the elusive and crucial notion of objectivity -- and in what it means to peer into the world scientifically.

    Mary and Olive had already been told they were going to an ack-ack training camp in Berkshire, and she crossed her fi ngers, hoping that she would be setting off with them. Finally, the corporal came to her name. ‘Private Ward,’ she called out. ‘Anti-aircraft.’At that moment, Jessie couldn’t have been happier. She was joining the artillery, and would soon be giving the Germans what for.”In the summer of 1940, Britain stood alone against Germany. The British Army stood at just over one and a half million men, while the Germans had three times that many, and a population almost twice the size of ours from which to draw new waves of soldiers. Clearly, in the fight against Hitler, manpower alone wasn’t going to be enough.Eighteen-year-old Jessie Ward defied her mother to join the ATS, leaving her quiet home for the rigours of training, the camaraderie of the young women who worked together so closely and to face a war that would change her life forever.Overall, more than half a million women served in the armed forces during the Second World War. This book tells the story of just one of them. But in her story is reflected the lives of hundreds of thousands of others like them – ordinary girls who went to war, wearing their uniforms with pride.

    Bradley was the chief of scouts of the 7th Infantry under General John Gibbon. After George Armstrong Custer and the 7th Cavalry headed up Rosebud Creek to the Little Bighorn, Gibbon's Montana Column was to approach the Little Bighorn Valley from the west and trap the Sioux and Cheyenne between the two forces. Custer attacked early and Lt. Bradley and his scouts were the first to find the bodies of five companies that perished under the boy general. In this remarkable journal, kept during the 1876 campaign up to the discovery of the disaster at the Little Bighorn, soldier-scholar and historian Bradley observed and recorded some of the most important events of the entire summer. Reading betwen the lines, you get Bradley's opinion of Custer and others he served alongside. Intending to publish the journal, Bradley began rewriting it from his notes in 1877. Sadly, he was killed at the Battle of Big Hole. Fortunately for history, his widow donated his papers to the Montana Historical Society and here for the first time is the journal in an annotated, well-formatted edition for e-readers, tablets, and smartphones. Every memoir of the American Indian Wars provides us with another view of the movement that changed the country forever. Be sure to LOOK INSIDE by clicking the cover above or download a sample.

    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."