The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

    Updated atlas contains maps of every U.S. state that are 35% larger than the standard atlas version plus over 350 detailed city inset and national park maps and a comprehensive, unabridged index. Road construction projects and updates highlighted for every state and conveniently located above the maps. Contains mileage chart showing distances between 77 North American cities and national parks with driving times map. Tough spiral binding allows the book to lay open easily. Other Features Best of the Road - Our editor's favorite road trips from our Best of the Road collection follows scenic routes along stretches of coastline, both east and west, to forests mountains, and prairies; and through small towns and big cities. For a weekend or a week there's something for everyone. Tell Rand! As much as we work to keep our atlases up to date, conditions change quickly and new construction projects begin frequently. If you know of something we haven't captured in our atlas, let us know at randmcnally.com/tellrand. Tourism websites and phone numbers for every U.S. state and Canadian province on map pages

      As the nation’s iconic calendar, the 2020 edition will forecast cultural, culinary, and other life-changing trends; preview notable astronomical events; provide time- and money-saving tips for gardeners of all varieties; set the hook for best fishing days; forecast traditionally 80 percent–accurate weather; and cover a range of related topics, including anniversaries, folklore, husbandry, home remedies, recipes, amusement, contests, and more—too much more to mention—all in the inimitable way it has done since 1792.

    With the author's own wonderful Alaska stories and information on wildlife, native culture, landmarks, historical sites, shopping, and more, you won t miss a thing. Upton's Handbook traces the route used by most Alaska cruises, with maps and text keyed to a route numbering/navigational system that is frequently announced onboard, allowing the passenger to easily follow his ship s progress from Mile One. The wonderful illustrated maps and color photography throughout keep you informed throughout your journey, making a wonderful souvenir when it ends.

    How does Jane Goodall’s relationship with her dog Rusty inform her thinking about our relationship to other species? Which time and place would Jared Diamond most prefer to live in, in light of his work on the role of chance in history? What does driving a sports car have to do with Steven Weinberg’s quest for the “theory of everything”? Physicist and journalist Stefan Klein’s intimate conversations with nineteen of the world’s best-known scientists (including three Nobel Laureates) let us listen in as they talk about their paradigm-changing work—and how it is deeply rooted in their daily lives. • Cosmologist Martin Rees on the beginning and end of the world • Evolutionary biologist Richard Dawkins on egoism and selflessness • Neuroscientist V. S. Ramachandran on consciousness • Molecular biologist Elizabeth Blackburn on aging • Philosopher Peter Singer on morality • Physician and social scientist Nicholas Christakis on human relationships • Biochemist Craig Venter on the human genome • Chemist and poet Roald Hoffmann on beauty

    No one seemed able to agree on a cause. (Dark matter? Tensor–vector–scalar gravity? Collisions with gravitons?) What did seem clear to those who became obsessed with it was that the Pioneer Anomaly had the potential to upend Einstein and Newton—to change everything we know about the universe.With riveting prose and the precision of an expert, Konstantin Kakaes gives us a scientific police procedural, tracking the steps of those who sought to unravel this high-stakes enigma. His thrilling account draws on extensive interviews and archival research, following the story from the Anomaly’s initial discovery, through decades of tireless investigation, to its ultimate conclusion. “The Pioneer Detectives” is a definitive account not just of the Pioneer Anomaly but of how scientific knowledge gets made and unmade, with scientists sometimes putting their livelihoods on the line in pursuit of cosmic truth. Perfect for fans of John McPhee, Thomas Kuhn, and Ed McBain, this is also an immensely enjoyable story accessible to anyone who loves brilliant, fascinating long-form journalism.* * * ABOUT THE AUTHOR: Konstantin Kakaes is a Bernard L. Schwartz fellow at the New America Foundation, writing about science and technology, and is the former Mexico City bureau chief for The Economist. His work has been published in The Wall Street Journal, Foreign Policy, and The Washington Post and appears frequently in Slate. Before becoming a journalist, he studied physics at Harvard University.

    But its journey within the Sun takes hundreds of thousands of years. What is going on in there? What are light and heat? How does the Sun produce them and how on earth did scientists discover this?In this astonishing and enlightening adventure, you'll travel millions of miles from inside the Sun to its surface and to Earth, where the light at the end of its journey is allowing you to read right now. You'll discover how the Sun works (including what it sounds like), the latest research in solar physics and how a solar storm could threaten everything we know. And you'll meet the groundbreaking scientists, including the author, who pieced this extraordinary story together.

    Now, in this new and highly revealing biography, Tom Lodge draws on a wide range of original sources to uncover a host of fresh insights about the shaping of Mandela's personality and public persona, from his childhood days and early activism, through his twenty-seven years of imprisonment, to his presidency of the new South Africa. The book follows Mandela from his education at two elite Methodist boarding schools to his role as a moderating but powerful force in the African National Congress. Throughout, Lodge emphasizes the crucial interplay between Mandela's public career and his private world, revealing how Mandela drew moral and political strength from encounters in which everyday courtesy and even generosity softened conflict. Indeed, the lessons Mandela learned as a child about the importance of defeating ones opponents without dishonoring them were deeply engrained. They shaped a politics of grace and honor that was probably the only approach that could have enabled South Africa's relatively peaceful transition to democracy. Here then is a penetrating look at one of the most celebrated political figures of our time, illuminating a pivotal moment in recent world history.Authoritative and fair-minded...deserves to be read widely.--Adam Roberts, The EconomistA fascinating, indeed riveting, and plausible as well as persuasive examination of why Nelson Mandela should have acquired a world following and can remain as he does an iconic figure even in the 21st century. It is certain to provoke much heated debate.--Desmond Tutu

    Broken down by region, this unusual guide features 70 aerial photographs; a fold-out map of North America showing major flight paths; profiles of each region covering its landforms, waterways, and cities; tips on spotting major sights, such as the Northern Lights, the Grand Canyon, and Disney World; tips on spotting not-so-major sights such as prisons, mines, and Interstates; and straightforward, friendly text on cloud shapes, weather patterns, the continent's history, and more. A terrific book for kids, frequent flyers, and armchair travelers alike, Window Seat is packed with curious facts and colorful illustration, proving that flying doesn't have to be a snooze. When it's possible to "read" the landscape from above, a whole world unfolds at your feet.

    From the emergence of life at deep-sea vents to solar-powered starships sailing through the galaxy, from the Big Bang to the intricacies of intelligence in many life forms, acclaimed author Ann Druyan documents where humanity has been and where it is going, using her unique gift of bringing complex scientific concepts to life. With evocative photographs and vivid illustrations, she recounts momentous discoveries, from the Voyager missions in which she and her husband, Carl Sagan, participated to Cassini-Huygens's recent insights into Saturn's moons. This breathtaking sequel to Sagan's masterpiece explains how we humans can glean a new understanding of consciousness here on Earth and out in the cosmos--again reminding us that our planet is a pale blue dot in an immense universe of possibility.

    Readers will find an enlightening history of the vacuum: how the efforts to make a better vacuum led to the discovery of the electron; the understanding that the vacuum is filled with fields; the ideas of Newton, Mach, and Einstein on the nature of space and time; the mysterious aether and how Einstein did away with it; and the latest ideas that the vacuum is filled with the Higgs field. The story ranges from the absolute zero of temperature and the seething vacuum of virtual particles and anti-particles that fills space, to the extreme heat and energy of the early universe. It compares the ways that substances change from gas to liquid and solid with the way that the vacuum of our universe has changed as the temperature dropped following the Big Bang. It covers modern ideas that there may be more dimensions to the void than those that we currently are aware of and even that our universe is but one in a multiverse. The Void takes us inside a field of science that may ultimately provide answers to some of cosmology's most fundamental questions: what lies outside the universe, and, if there was once nothing, then how did the universe begin?

    In the past, discoveries often had to wait for the rise of the next generation to see questions in a new light and let go of old truisms. Today, in a world that is defined by a rapid rate of change, staying on the cutting edge has as much to do with shedding outdated notions as adopting new ones. In this spirit, John Brockman, publisher of the online salon Edge.org ("the world's smartest website"—The Guardian), asked 175 of the world's most influential scientists, economists, artists, and philosophers: What scientific idea is ready for retirement?Jared Diamond explores the diverse ways that new ideas emerge * Nassim Nicholas Taleb takes down the standard deviation * Richard Thaler and novelist Ian McEwan reveal the usefulness of "bad" ideas * Steven Pinker dismantles the working theory of human behavior * Richard Dawkins renounces essentialism * Sherry Turkle reevaluates our expectations of artificial intelligence * Physicist Andrei Linde suggests that our universe and its laws may not be as unique as we think * Martin Rees explains why scientific understanding is a limitless goal * Alan Guth rethinks the origins of the universe * Sam Harris argues that our definition of science is too narrow * Nobel Prize winner Frank Wilczek disputes the division between mind and matter * Lawrence Krauss challenges the notion that the laws of physics were preordained * plus contributions from Daniel Goleman, Mihaly Csikszentmihalyi, Nicholas Carr, Rebecca Newberger Goldstein, Matt Ridley, Stewart Brand, Sean Carroll, Daniel C. Dennett, Helen Fisher, Douglas Rushkoff, Lee Smolin, Kevin Kelly, Freeman Dyson, and others.

    Seeking to address the various challenges of off-camera lighting, professional photographers and advanced amateurs alike will find a range of confidence-building instruction, beginning with basic how’s and why’s of lighting for creative effect, the types of equipment available and instruction about their proper use, clear definitions of various technical concepts such as managing shutter speed and controlling flash exposure, using ambient light as well as natural sunlight during a shoot, and incorporating off-camera flash into a portrait session. Concluding this lesson plan is a look at five different real-life photo sessions, each employing a different flash technique. Here, photographers get a deeper understanding of each concept put into practice, marrying the elements of lighting with the natural elements presented by the shoot.

    There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.