From the death of Archimedes at the hands of an irritated Roman soldier to the concoction of a superconducting witches' brew at the close of the twentieth century, the stories in Eurekas and Euphorias pour out, told with wit and relish by Walter Gratzer. Open this book at random and you may chance on the clumsy chemist named Sapper who broke a thermometer in a reaction vat and made the discovery that launched the modern dyestuff industry. Or the physicist who dissolved his gold Nobel Prize medal in acid to prevent it from falling into the hands of the Nazis. We meet mathematicians and physicists in prison cells, and even in a madhouse, making important advances in their field. And we witness the careers, sometimes tragic, sometimes carefree, of the great women scientists, from Hypatia of Alexandria, to Sophie Germain and Sonia Kovalevskaya, to Marie Curie and her relentless battle with the French Academy. A glorious parade unfolds to delight the reader, with stories to astonish, to instruct, and most especially, to entertain.

    Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in CALCULUS: THE CLASSIC EDITION, 5th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

    Like you, the elements have lives: personalities and attitudes, talents and shortcomings, stories rich with meaning. You may think of them as the inscrutable letters of the periodic table but you know them much better than you realise. Welcome to a dazzling tour through history and literature, science and art. Here you'll meet iron that rains from the heavens and noble gases that light the way to vice. You'll learn how lead can tell your future while zinc may one day line your coffin. You'll discover what connects the bones in your body with the Whitehouse in Washington, the glow of a streetlamp with the salt on your dinner table. From ancient civilisations to contemporary culture, from the oxygen of publicity to the phosphorus in your pee, the elements are near and far and all around us. Unlocking their astonishing secrets and colourful pasts, Periodic Tales will take you on a voyage of wonder and discovery, excitement and novelty, beauty and truth. Along the way, you'll find that their stories are our stories, and their lives are inextricable from our own.

    This wondrous machine was created not by MIT Robotics Lab, but by Hephaestus, the Greek god of invention. More than 2,500 years ago, long before medieval automata, and centuries before technology made self-moving devices possible, Greek mythology was exploring ideas about creating artificial life—and grappling with still-unresolved ethical concerns about biotechne, “life through craft.” In this compelling, richly illustrated book, Adrienne Mayor tells the fascinating story of how ancient Greek, Roman, Indian, and Chinese myths envisioned artificial life, automata, self-moving devices, and human enhancements—and how these visions relate to and reflect the ancient invention of real animated machines.As early as Homer, Greeks were imagining robotic servants, animated statues, and even ancient versions of Artificial Intelligence, while in Indian legend, Buddha’s precious relics were defended by robot warriors copied from Greco-Roman designs for real automata. Mythic automata appear in tales about Jason and the Argonauts, Medea, Daedalus, Prometheus, and Pandora, and many of these machines are described as being built with the same materials and methods that human artisans used to make tools and statues. And, indeed, many sophisticated animated devices were actually built in antiquity, reaching a climax with the creation of a host of automata in the ancient city of learning, Alexandria, the original Silicon Valley.A groundbreaking account of the earliest expressions of the timeless impulse to create artificial life, Gods and Robots reveals how some of today’s most advanced innovations in robotics and AI were foreshadowed in ancient myth—and how science has always been driven by imagination. This is mythology for the age of AI.

     Free BONUS Inside! James Clerk Maxwell was a brilliant mathematician and scientist, but his impact on this world goes even deeper than that. Maxwell singlehandedly overturned what was believed to be fact with a whole new outlook on fundamental aspects of the universe. Maxwell is often credited as one of the first pioneers of quantum physics and rightly so because it was Maxwell who envisioned particles such as electrons spinning inside an electric current before anyone else had so much as guessed that such a thing might be possible. The rarefied scientific mind of James Clerk Maxwell has left us with a lasting legacy of incredible innovations in thought that still affect us to this very day. Read this book in order to get a full grasp of just what kind of enlightening fire this nineteenth-century Prometheus has gifted all of humanity with. Discover a plethora of topics such as Early Life and Loss The World’s First Color Photograph Maxwell’s Equations The Cavendish Laboratory Illness and Death And much more! So if you want a straightforward book on James Clerk Maxwell, simply scroll up and click the "Buy now" button for instant access!

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    Martin as source material for Game of Thrones, comes a classic book on innovation and technological change in medieval EuropeIn this account of Europe’s rise to world leadership in technology, Frances and Joseph Gies show how early modern technology and experimental science were direct outgrowths of the decisive innovations of medieval Europe, in the tools and techniques of agriculture, craft industry, metallurgy, building construction, navigation, and war. The Gieses report that many of Europe’s most important inventions—the horse harness, the stirrup, the magnetic compass, cotton and silk cultivation and manufacture, papermaking, firearms, and “Arabic” numerals—had their origins outside Europe, in China, India, and the Middle East. Europe synthesized its own innovations—the three-field system, water power in industry, the full-rigged ship, the putting-out system—into a powerful new combination of technology, economics, and politics.

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    Using Everett's unpublished papers (recently discovered in his son's basement) and dozens of interviews with his friends, colleagues, and surviving family members, Byrne paints, for the general reader, a detailed portrait of the genius who invented an astonishing way of describing our complex universe from the inside. Everett's mathematical model (called the "universal wave function") treats all possible events as "equally real," and concludes that countless copies of every person and thing exist in all possible configurations spread over an infinity of universes: many worlds. Afflicted by depression and addictions, Everett strove to bring rational order to the professional realms in which he played historically significant roles. In addition to his famous interpretation of quantum mechanics, Everett wrote a classic paper in game theory; created computer algorithms that revolutionized military operations research; and performed pioneering work in artificial intelligence for top secret government projects. He wrote the original software for targeting cities in a nuclear hot war; and he was one of the first scientists to recognize the danger of nuclear winter. As a Cold Warrior, he designed logical systems that modeled "rational" human and machine behaviors, and yet he was largely oblivious to the emotional damage his irrational personal behavior inflicted upon his family, lovers, and business partners. He died young, but left behind a fascinating record of his life, including correspondence with such philosophically inclined physicists as Niels Bohr, Norbert Wiener, and John Wheeler. These remarkable letters illuminate the long and often bitter struggle to explain the paradox of measurement at the heart of quantum physics. In recent years, Everett's solution to this mysterious problem-the existence of a universe of universes-has gained considerable traction in scientific circles, not as science fiction, but as an explanation of physical reality.

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    The books published on the subject are so technical that only a person trained in pure physics and higher mathematics is able to fully understand them. In order to make a popular explanation of this far-reaching theory available, the present book is published.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    It describes how the laws and discoveries of information theory now support controversial revisions to Darwinian evolution, begin to unravel the mysteries of language, memory and dreams, and stimulate provocative ideas in psychology, philosophy, art, music, computers and even the structure of society. Perhaps its most fascinating and unexpected surprise is the suggestion the order and complexity may be as natural as disorder and disorganization. Contrary to the entropy principle, which implies that order is the exception and confusion the rule, information theory asserts that order and sense can indeed prevail against disorder and nonsense. From the simplest forms of organic life to the words used to express our most complex ideas, from our genes to our dreams, from microcomputers to telecommunications, virtually everything around us follows simple rules of information. Life and the material world, like language, remain "grammatical." Grammatical man inhabits a grammatical universe.

    To be curious was to delve into matters that didn't concern you - after all, the original sin stemmed from a desire for forbidden knowledge. Through curiosity our innocence was lost.Yet this hasn't deterred us. Today we spend vast sums trying to recreate the first instants of creation in particle accelerators, out of pure desire to know. There seems now to be no question too vast or too trivial to be ruled out of bounds: Why can fleas jump so high? What is gravity? What shape are clouds? Today curiosity is no longer reviled, but celebrated.Examining how our inquisitive impulse first became sanctioned, changing from a vice to a virtue, Curiosity begins with the age when modern science began, a time that spans the lives of Galileo and Isaac Newton. It reveals a complex story, in which the liberation - and the taming - of curiosity was linked to magic, religion, literature, travel, trade and empire.By examining the rise of curiosity, we can ask what has become of it today: how it functions in science, how it is spun and packaged and sold, how well it is being sustained and honoured, and how the changing shape of science influences the kinds of questions it may ask.

    The theme of Heisenberg's exposition is that words and concepts familiar in daily life can lose their meaning in the world of relativity and quantum physics. This in turn has profound philosophical implications for the nature of reality and for our total world view.