Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

    Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

    In doing so, the authors synthesize information from astronomy, biology, and paleontology, and apply it to what we know about the rise of life on Earth and to what could possibly happen elsewhere in the universe. Everyone who has been thrilled by the recent discoveries of extrasolar planets and the indications of life on Mars and the Jovian moon Europa will be fascinated by Rare Earth, and its implications for those who look to the heavens for companionship.

    But there remains a critical gap in our knowledge: we still know very little about what happened in the first seconds after the Big Bang. At the Edge of Time focuses on what we have recently learned and are still striving to understand about this most essential and mysterious period of time at the beginning of cosmic history.Delving into the remarkable science of cosmology, Dan Hooper describes many of the extraordinary and perplexing questions that scientists are asking about the origin and nature of our world. Hooper examines how we are using the Large Hadron Collider and other experiments to re-create the conditions of the Big Bang and test promising theories for how and why our universe came to contain so much matter and so little antimatter. We may be poised to finally discover how dark matter was formed during our universe's first moments, and, with new telescopes, we are also lifting the veil on the era of cosmic inflation, which led to the creation of our world as we know it.Wrestling with the mysteries surrounding the initial moments that followed the Big Bang, At the Edge of Time presents an accessible investigation of our universe and its origin.

    This essay by Copernicus (1473-1543), revolutionized the way we look at the earth's placement in the universe, and paved the way for many great scientists, including Galileo and Isaac Newton, whose theories stemmed from this model. Featuring a biography of Copernicus and an accessible, enlightening introduction, both written by the renowned physicist Stephen Hawking, On the Revolution of Heavenly Spheres provides a fascinating look at the theories which shaped our modern understanding of astronomy and physics.

    Guth’s startling theory—widely regarded as one of the most important contributions to science during the twentieth century—states that the big bang was set into motion by a period of hyper-rapid “inflation,” lasting only a billion-trillion-billionth of a second. The Inflationary Universe is the passionate story of one leading scientist’s effort to look behind the cosmic veil and explain how the universe began.

    In this lively and compact introduction, astrophysicist Andrew King reveals how the laws of physics force stars to evolve, driving them through successive stages of maturity before their inevitable and sometimes spectacular deaths, to end as remnants such as black holes. The book shows how we know what stars are made of, how gravity forces stars like the Sun to shine by transmuting hydrogen into helium in their centers, and why this stage is so long-lived and stable. Eventually the star ends its life in one of just three ways, and much of its enriched chemical content is blasted into space in its death throes. Every dead star is far smaller and denser than when it began, and we see how astronomers can detect these stellar corpses as pulsars and black holes and other exotic objects. King also shows how astronomers now use stars to measure properties of the Universe, such as its expansion. Finally, the book asks how it is that stars form in the first place, and how they re-form out of the debris left by stars already dead. These birth events must also be what made planets, not only in our solar system, but around a large fraction of all stars.

    A total eclipse of the Sun will be visible from within a narrow corridor that traverses the United States. The path of the Moon's umbral shadow will begin in the northern Pacific and cross the USA from west to east from Oregon to South Carolina. The Moon's penumbral shadow will produce a partial eclipse visible from most of North America. In fact, the 2017 full eclipse is such an important sky event that sky watchers in Europe are already planning trips to view it. 2017 Guide to the Night Sky provides all of the information needed to view this exciting eclipse and track its path. The time zones and transit of the eclipse will be noted inside the book's jacket for quick and easy reference.The night sky makes for exciting viewing any time of the year, and 2017 Guide to the Night Sky is the ideal guide to help amateur astronomers find their way for the entire 12 months. With monthly charts and other diagrams set for a latitude of 40 degrees North, it shows how the visible stars change from month to month and includes the many sky events that occur throughout the year. It is highly practical for beginning sky gazers because the objects and events may be observed with the naked eye, or nothing more complicated than a pair of binoculars.The month-by-month guides include sky activity charts and moon calendars; meteors (with dates of showers, including hourly rate of radiants); the Planets; ecliptic charts; diagrams of interesting events; plus sky and constellation maps throughout.An appendix includes a full glossary; the Greek Alphabet; the constellation genitives, abbreviations and English names; a table of common asterisms; further information; recommended astronomy journals, societies, institutions and organizations; software, and internet sources.Especially useful for beginning sky watchers, this guide will be fully updated to 2017. Its small and light format makes it the ideal portable reference for backyard astronomers.

    Its unique approach communicates the richness and diversity of CIS in a lucid and accessible format. This fully revised and updated second edition reinforces the view of CIS as a gateway to science and problem solving, sets out the scientific principles that govern its use, and describes the impact of people on its development, design, and success. The second edition of Geographic Information Systems and Science includes:A new five-part structure: Foundations; Principles; Techniques; Analysis; and Management and Policy.All-new personality boxes of current GIS practitioners.New real-world applications of GIS.New or expanded coverage of important current topics:Location-based servicesDistributed computingVirtual and augmented realitiesHomeland securityBusiness GIS and geodemographicsThe emergence of geoportalsGrand challenges of GIScienceA new suite of instructor and student resources http://www.wiley.com/go/longleyThe second edition of Geographic Information Systems and Science is essential reading for undergraduates taking courses in GIS within departments of Geography, Environmental Science, Business (and Public) Administration, Computer Science, Urban Studies, Planning, Information Science, Civil Engineering, and Archaeology. It is also provides a key resource for foundation GIS courses on taught MSc and other higher-degree programs. Professional users of GIS from governmental organizations and industries across the private sector will find this book an invaluable resource with a wealth of relevant applications.

    A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text.

    Together, they explain virtually everything about the world we live in. But, almost a century after their advent, most people haven't the slightest clue what either is about. Did you know that there's so much empty space inside matter that the entire human race could be squeezed into the volume of a sugar cube? Or that you grow old more quickly on the top floor of a building than on the ground floor? And did you realise that 1 percent of the static on a TV tuned between stations is a relic of the Big Bang?

    An Introduction to Meteorology (13th Edition)

    From Heliocentrism to dark matter, and from Kepler’s laws of planetary motion and orbits to Olber’s paradox and the Shapley-Curtis debate, she explains ideas at the cutting-edge of scientific enquiry, making them comprehensible and accessible to the layperson. Planets and solar system Cosmic microwave background Supermassive black holes Heliocentrism Big bang nucleosynthesis Galaxy formation and evolution Kepler’s laws General relativity Gravitational lensing Galileo Special relativity Stars: types Newton’s laws of motion Black holes Stars: births of stars Gravitation String theory Stars: deaths of stars Spectrum Astroparticle physics Stars: life cycles Milky Way Cosmic rays The sun: fusion and sunspots Doppler shift and redshift Higgs boson Pulsars Shapley-Curtis debate Anthropic principle Cepheids and variable stars Olbers paradox Hubble sequence of galaxy types Gamma ray bursts Hubble’s law Dark matter Exoplanets Cosmic distance ladder Large scale structure Theories of creation Big bang Galaxy clusters and voids Earth-moon giant impact theory Cosmic inflation X-ray background Astrobiology Dark energy Radio galaxies Fermi paradox Matter and antimatter Quasars and active galactic nuclei

    10,000 first printing.

    The book is designed for advanced undergraduates or beginning graduate students and assumes no prior knowledge of general relativity. An emphasis is placed on developing the readers' physical insight rather than losing them with complex math. An approachable writing style and wealth of fresh and imaginative analogies from "everyday" physics are used to make the concepts of cosmology more accessible. The book is unique in that it not only includes recent major developments in cosmology, like the cosmological constant and accelerating universe, but also anticipates key developments expected in the next few years, such as detailed results on the cosmic microwave background.