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.

    But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    With blazing originality, The Fourth Turning illuminates the past, explains the present, and reimagines the future. Most remarkably, it offers an utterly persuasive prophecy about how America's past will predict its future.Strauss and Howe base this vision on a provocative theory of American history. The authors look back five hundred years and uncover a distinct pattern: Modern history moves in cycles, each one lasting about the length of a long human life, each composed of four eras--or turnings--that last about twenty years and that always arrive in the same order. In The Fourth Turning, the authors illustrate these cycles using a brilliant analysis of the post-World War II period.First comes a High, a period of confident expansion as a new order takes root after the old has been swept away. Next comes an Awakening, a time of spiritual exploration and rebellion against the now-established order. Then comes an Unraveling, an increasingly troubled era in which individualism triumphs over crumbling institutions. Last comes a Crisis--the Fourth Turning--when society passes through a great and perilous gate in history. Together, the four turnings comprise history's seasonal rhythm of growth, maturation, entropy, and rebirth.The Fourth Turning offers bold predictions about how all of us can prepare, individually and collectively, for America's next rendezvous with destiny.

    His column was called "Natural Acts," and for the next fifteen years he delighted Outside's readers with his fascinating ruminations on the world around us. The Boilerplate Rhino brings together twenty-six of Quammen's most thoughtful and engaging essays from that column, none previously printed in any of his earlier books. In lucid, penetrating, and often quirkily idiosyncratic prose, David Quammen takes his readers with him as he explores the world. His travels lead him to rattlesnake handlers in Texas; a lizard specialist in Baja; the dinosaur museum in Jordan, Montana; and halfway across Indonesia in search of the perfect Durian fruit. He ponders the history of nutmeg in the southern Moluccas, meditates on bioluminescent beetles while soaking in the waters of the Amazon, and delivers "The Dope on Eggs" from a chicken ranch near his hometown in Montana. Quammen's travels are always jumping-off points to explore the rich and sometimes horrifying tension between humankind and the natural world, in all its complexity and ambivalence. The result is another irrepressible assortment of ideas to explore, conundrums to contemplate, and wondrous creatures to behold.

    Heisenberg’s principle implied that scientific quantities/concepts do not have absolute, independent meaning, but acquire meaning only in terms of the experiments used to measure them. This proposition, undermining the cherished belief that science could reveal the physical world with limitless detail and precision, placed Heisenberg in direct opposition to the revered Albert Einstein. The eminent scientist Niels Bohr, Heisenberg’s mentor and Einstein’s long-time friend, found himself caught between the two.Uncertainty chronicles the birth and evolution of one of the most significant findings in the history of science, and portrays the clash of ideas and personalities it provoked. Einstein was emotionally as well as intellectually determined to prove the uncertainty principle false. Heisenberg represented a new generation of physicists who believed that quantum theory overthrew the old certainties; confident of his reasoning, Heisenberg dismissed Einstein’s objections. Bohr understood that Heisenberg was correct, but he also recognized the vital necessity of gaining Einstein’s support as the world faced the shocking implications of Heisenberg’s principle.

    Why does this superhero without superpowers fascinate us? What does that fascination say about us? Batman and Psychology explores these and other intriguing questions about the masked vigilante, including: Does Batman have PTSD?  Why does he fight crime? Why as a vigilante? Why the mask, the bat, and the underage partner? Why are his most intimate relationships with “bad girls” he ought to lock up? And why won't he kill that homicidal, green-haired clown?Gives you fresh insights into the complex inner world of Batman and Bruce Wayne and the life and characters of Gotham CityExplains psychological theory and concepts through the lens of one of the world’s most popular comic book charactersWritten by a psychology professor and “Superherologist” (scholar of superheroes)

    Yet shy of fame and never one to steal the spotlight Armstrong was always reluctant to discuss his personal side of events. Here for the first time is the definitive story of Neil's life of flight he shared for five decades with a trusted friend - Jay Barbree.Working from 50 years of conversations he had with Neil, from notes, interviews, NASA spaceflight transcripts, and remembrances of those Armstrong trusted, Barbree writes about Neil's three passions - flight, family, and friends. This is the inside story of Neil Armstrong from the time he flew combat missions in the Korean War and then flew a rocket plane called the X-15 to the edge of space, to when he saved his Gemini 8 by flying the first emergency return from Earth orbit and then flew Apollo-Eleven to the moon's Sea of Tranquility.Together Neil and Jay discussed everything, from his love of flying, to the war years, and of course his time in space. The book is full of never-before-seen photos and personal details written down for the first time, including what Armstrong really felt when he took that first step on the moon, what life in NASA was like, his relationships with the other astronauts, and what he felt the future of space exploration should be.As the only reporter to have covered all 166 American astronaut flights and moon landings Jay knows these events intimately. Neil Armstrong himself said, "Barbree is history's most experienced space journalist. He is exceptionally well qualified to recall and write the events and emotions of our time." Through his friendship with Neil and his dedicated research, Barbree brings us the most accurate account of his friend's life of flight, the book he planned for twenty years.

    Beginning at Stonehenge and ending with the current crisis in String Theory, the story of this eternal question to uncover the mysteries of the universe describes a narrative that includes some of the greatest discoveries of all time and leading personalities, including Aristotle, Copernicus, and Isaac Newton, and the rise to the modern era of Einstein, Eddington, and Hawking.

    Starting in Paris, Jean-Baptiste-Joseph Delambre would make his way north to Dunkirk, while Pierre-François-André Méchain voyaged south to Barcelona. Their mission was to measure the world, and their findings would help define the meter as one ten-millionth of the distance between the pole and the equator-- a standard that would be used for all people, for all time. "The Measure of All Things" is the astonishing tale of one of history's greatest scientific adventures. Yet behind the public triumph of the metric system lies a secret error, one that is perpetuated in every subsequent definition of the meter. As acclaimed historian and novelist Ken Alder discovered through his research, there were only two people on the planet who knew the full extent of this error: Delambre and Méchain themselves. By turns a science history, detective tale, and human drama, "The Measure of All Things" describes a quest that succeeded as it failed, and continues to enlighten and inspire to this day.

    Diarmuid Jeffreys traces the story of aspirin from the drug's origins in ancient Egypt, through its industrial development at the end of the nineteenth century and its key role in the great flu pandemic of 1918, to its subsequent exploitation by the pharmaceutical conglomerates and the marvelous powers still being discovered today.

    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    The key feature of this classic title is the section of star charts that are cherished by backyard astronomers everywhere. Each new edition has outsold the previous one because of thorough revisions and additional new material.NightWatch has been acclaimed as the best general interest introduction to astronomy. The fourth edition has improvements over the 3rd edition in every chapter, including:The famous charts, ideal for stargazers using a small telescope or binoculars A complete update of the equipment section, including computerized telescopes An enlarged photography section, including how-to instructions for using the new generation of digital cameras for astronomical photography, both with and without a telescope The tables of future solar and lunar eclipses, planetary conjunctions and planet locations, updated through 2025. This edition includes star charts for use in the southern hemisphere. There are also dozens of new photographs throughout the book that show the latest thrilling discoveries made by current space observatories and probes.

    or a bit of both.The interests of Athanasius Kircher, the legendary seventeenth-century priest-scientist, knew no bounds. From optics to music to magnetism to medicine, he offered up inventions and theories for everything, and they made him famous across Europe. His celebrated museum in Rome featured magic lanterns, speaking statues, the tail of a mermaid, and a brick from the Tower of Babel. Holy Roman Emperors were his patrons, popes were his friends, and in his spare time he collaborated with the Baroque master Bernini.But Kircher lived during an era of radical transformation, in which the old approach to knowledge - what he called the "art of knowing" - was giving way to the scientific method and modern thought. A Man of Misconceptions traces the rise, success, and eventual fall of this fascinating character as he attempted to come to terms with a changing world.With humor and insight, John Glassie returns Kircher to his rightful place as one of history’s most unforgettable figures.A Scientific American Best Science Book of 2012An Atlantic Wire Best Book of 2012A New York Times Book Review "Editor's Choice”

    The Milky Way alone encompasses 30 trillion potential home planets. Scientists Trefil and Summers bring readers on a marvelous experimental voyage through the possibilities of life--unlike anything we have experienced so far--that could exist on planets outside our own solar system.Life could be out there in many forms: on frozen worlds, living in liquid oceans beneath ice and communicating (and even battling) with bubbles; on super-dense planets, where they would have evolved body types capable of dealing with extreme gravity; on tidally locked planets with one side turned eternally toward a star; and even on "rogue worlds," which have no star at all. Yet this is no fictional flight of fancy: the authors take what we know about exoplanets and life on our own world and use that data to hypothesize about how, where, and which sorts of life might develop. Imagined Life is a must-have for anyone wanting to learn how the realities of our universe may turn out to be far stranger than fiction.

    Set in Edwardian London and on the stormy coasts of Cornwall, Cape Cod, and Nova Scotia, Thunderstruck evokes the dynamism of those years when great shipping companies competed to build the biggest, fastest ocean liners, scientific advances dazzled the public with visions of a world transformed, and the rich outdid one another with ostentatious displays of wealth. Against this background, Marconi races against incredible odds and relentless skepticism to perfect his invention: the wireless, a prime catalyst for the emergence of the world we know today. Meanwhile, Crippen, “the kindest of men,” nearly commits the perfect crime. With his superb narrative skills, Erik Larson guides these parallel narratives toward a relentlessly suspenseful meeting on the waters of the North Atlantic. Along the way, he tells of a sad and tragic love affair that was described on the front pages of newspapers around the world, a chief inspector who found himself strangely sympathetic to the killer and his lover, and a driven and compelling inventor who transformed the way we communicate. Thunderstruck presents a vibrant portrait of an era of séances, science, and fog, inhabited by inventors, magicians, and Scotland Yard detectives, all presided over by the amiable and fun-loving Edward VII as the world slid inevitably toward the first great war of the twentieth century. Gripping from the first page, and rich with fascinating detail about the time, the people, and the new inventions that connect and divide us, Thunderstruck is splendid narrative history from a master of the form.