But from the perspective of mathematics, groupings of ten are arbitrary, and can have serious shortcomings. Twelve would be better for divisibility, and eight is smaller and well suited to repeated halving. Grouping by two, as in binary code, has turned out to have its own remarkable advantages.Paul Lockhart reveals arithmetic not as the rote manipulation of numbers--a practical if mundane branch of knowledge best suited for balancing a checkbook or filling out tax forms--but as a set of ideas that exhibit the fascinating and sometimes surprising behaviors usually reserved for higher branches of mathematics. The essence of arithmetic is the skillful arrangement of numerical information for ease of communication and comparison, an elegant intellectual craft that arises from our desire to count, add to, take away from, divide up, and multiply quantities of important things. Over centuries, humans devised a variety of strategies for representing and using numerical information, from beads and tally marks to adding machines and computers. Lockhart explores the philosophical and aesthetic nature of counting and of different number systems, both Western and non-Western, weighing the pluses and minuses of each.A passionate, entertaining survey of foundational ideas and methods, Arithmetic invites readers to experience the profound and simple beauty of its subject through the eyes of a modern research mathematician.

    Back in print in a newly designed edition, this influential cultural, architectural, and social history of New York is even more popular, selling out its first printing on publication. Rem Koolhaas's celebration and analysis of New York depicts the city as a metaphor for the incredible variety of human behavior. At the end of the nineteenth century, population, information, and technology explosions made Manhattan a laboratory for the invention and testing of a metropolitan lifestyle -- "the culture of congestion" -- and its architecture. "Manhattan," he writes, "is the 20th century's Rosetta Stone . . . occupied by architectural mutations (Central Park, the Skyscraper), utopian fragments (Rockefeller Center, the U.N. Building), and irrational phenomena (Radio City Music Hall)." Koolhaas interprets and reinterprets the dynamic relationship between architecture and culture in a number of telling episodes of New York's history, including the imposition of the Manhattan grid, the creation of Coney Island, and the development of the skyscraper. Delirious New York is also packed with intriguing and fun facts and illustrated with witty watercolors and quirky archival drawings, photographs, postcards, and maps. The spirit of this visionary investigation of Manhattan equals the energy of the city itself.

    2/27/34) has challenged corporations, government agencies & institutions to be more accountable to the public. In 1965, "Unsafe at Any Speed" changed the face of the automobile industry & made him a household name. As a result of his efforts, cars have more safety features. His lobbying & writing on the food industry insured that the food we buy is required to pass strict guidelines before reaching the consumer. One of his greatest achievements was the 1974 amendment to the Freedom of Information Act that gave increased public access to government documents. This brought freedom of press to a new level, resulting in increased access for journalists. He's cofounded numerous public interest groups including Public Citizen, Critical Mass, Commercial Alert & the Center for Study of Responsive Law. In 2000 he mounted a 2nd bid for president as a candidate for the Green Party, & today continues to be a relentless force for grassroots activism & democratic change in the USA.

    Green shows you how the planet Pluto relates to the evolutionary and karmic lessons in this life and how past lives can be understood through the position of Pluto in your chart.Beyond presenting key principles and ideas about the nature of the evolutionary journey of the Soul, this book supplies practical, concise and specific astrological methods and techniques that pinpoint the answers to the above questions. If you are a professional counselor or astrologer, this book is indispensable to your practice. The reader who studies this material carefully and applies it to his or her own chart will discover an objective vehicle to uncover the essence of his or her own state of being. The understanding that this promotes can help you cooperate with, instead of resist, the evolutionary and karmic lessons in your life. Green describes the position of Pluto through all of the signs and houses, explains the aspects and transits of Pluto, discusses Pluto in aspect to the Moon's Nodes, and gives sample charts and readings. It is the most complete look at this "new" planet ever.

    Now the man himself and a lifetime of his insightful views on a range of topics spring off the page in this, his first nonfiction collection, which encompasses articles, lectures, essays, travel pieces, and an "Autobiography of Ideas." It All Adds Up is a fascinating journey through literary America over the last forty years, guided by one of the "most gifted chroniclers in the Western World" (The London Times).

    With Magneto depowered and Xavier gravely injured, it seems their reign as the preeminent mutants has ended. But neither of these old soldiers is willing to go gentle into that good night Fresh off a groundbreaking run on Messiah CompleX, writer Mike Carey takes on mutantkind's most iconic figures, as well as some of the most important moments in X-Men history.Collecting: X-Men: Legacy 208-212

    This is his story.

    Now, drawing on a lifetime of study with native healers, herbalist and ethnobotanist E. Barrie Kavasch offers a step-by-step guide to bringing this beautiful tradition into your own life--from vibrantly colorful outdoor circle designs to miniature dish, windowsill, or home altar adaptations. Inside you’ll find:• Planting guides for medicine wheel gardens in every zone, from desert Southwest to northern woodlands• A beautifully illustrated encyclopedia of 50 key healing herbs, including propagation needs, traditional and modern uses, and cautions• Easy-to-follow herbal recipes, from teas and tonics to skin creams and soaps--plus delicious healing foods• Ideas for herbal crafts and ceremonial objects, including smudge sticks, wind horses, prayer ties, and spirit shields• Seasonal rituals, offerings, and meditations to bless and empower your garden and your friends, and much more Practical, beautiful, and inspiring, The Medicine Wheel Garden leads us on a powerful journey to rediscovering the sacred in everyday life as we cultivate our gardens . . . and our souls.

    With Pictures Showing What Happens on Each Page of Thomas Pynchon's Novel Gravity's Rainbow, artist Zak Smith at once eases and expands readers’ experience of the book. A leading exponent of punk-based, DIY art, Smith here presents his most ambitious project to date — an art book exactly as long as the work it’s interpreting: 760 drawings, paintings, photos, and less definable images in 760 pages. Extraordinary tableaux of the detritus of war — a burned-out Königstiger tank, a melted machine gun — coexist alongside such phantasmagoric Pynchon inventions as the “stumbling bird” and “Girgori the octopus.” Smith has stated his aim to be “as literal as possible” in interpreting Gravity’s Rainbow, but his images are as imaginative and powerfully unique as the prose they honor.

    A thought-provoking examination of the nature of visual representation, it remains ever-relevant to all the visual arts.A well-known painter and printmaker, Dow taught for many years at Columbia University and acted as a mentor to countless young artists, including Georgia O'Keeffe. His text, presented in a workbook format, offers teachers and students a systematic approach to composition. It explores the creation of freely constructed images based on harmonic relations between lines, colors, and dark and light patterns. The author draws upon the traditions of Japanese art to discuss a theory of "flat" formal equilibrium as an essential component of pictorial creation. Practical and well-illustrated, this classic guide offers valuable insights into modern design.

    As its Ship Mother, kept alive in a state of pseudoimmortality, she has provided wisdom and counsel to succeeding generations of its crew, self-exiled survivors of earth’s great plague. But now, to escape the ravages of space radiation, the giant starship has returned to earth, only to discover a world on the verge of extinction, its barren surface blanketed in a crystalline substance that resembles ice and that is slowly, inexorably encapsulating the planet. Zoya is chosen as emissary to this strange new earth, and now she must approach its denizens and find a suitable home for her desperate crew among the shrinking lands.But what she finds shakes Zoya to her core: groups of humans huddled like moles in underground techno-warrens called preserves, and a pseudospiritual order known as the Ice Nuns, who seek control of the physics-defying crystals and enslave their disciples in their crazed quest for truth. For on this once green land, Ice and the science behind it are now the only God–and mastering this grand ecology of information the only higher calling. Allies are few and far between, but somehow Zoya must uncover the secrets of Ice and halt its expansion. That is, if the snow witches don’t get her first...

    Chiron is the smallest planet in our solar system and was discovered only in the 1970s. In this comprehensive study of the planet, Melanie Reinhart examines its meaning and symbolism in psychological terms, and explores how it has added another dimension to astrology. Named after the mythical centaur, Chiron is identified with the figure of the "wounded healer, " and represents a spirit of philosophical independence, compassion, and a sense of trust in our inner selves. Rich in mythological anecdotes, literary allusions, and historical perspectives, with in-depth case studies, information tables, and a completely updated and expanded ephemeris for the twenty-first century, "Chiron and the Healing Journey" is an indispensable book for the practicing astrologer and will fascinate anyone interested in the subject.

    He takes us into the secret world of "Survivor" Spoilers, where avid internet users pool their knowledge to unearth the show's secrets before they are revealed on the air. He introduces us to young "Harry Potter" fans who are writing their own Hogwarts tales while executives at Warner Brothers struggle for control of their franchise. He shows us how "The Matrix" has pushed transmedia storytelling to new levels, creating a fictional world where consumers track down bits of the story across multiple media channels.Jenkins argues that struggles over convergence will redefine the face of American popular culture. Industry leaders see opportunities to direct content across many channels to increase revenue and broaden markets. At the same time, consumers envision a liberated public sphere, free of network controls, in a decentralized media environment. Sometimes corporate and grassroots efforts reinforce each other, creating closer, more rewarding relations between media producers and consumers. Sometimes these two forces are at war.Jenkins provides a riveting introduction to the world where every story gets told and every brand gets sold across multiple media platforms. He explains the cultural shift that is occurring as consumers fight for control across disparate channels, changing the way we do business, elect our leaders, and educate our children.

    100-178 CE) of Egypt consists of four books. The title given in some manuscripts meaning 'Mathematical Treatise in Four Books', in others 'The Prognostics addressed to Syrus'. The subject of the work is astrology, which in Ptolemy's time as down to the Renaissance was fused as a respectable science with astronomy. Translations and commentaries of the "Tetrabiblos" are few, and only three Greek texts had been printed (all in the 16th century) before the present text, begun by F. Boll and finished by Emilie Boer in 1940.

    Simons presents not only the popular eight-point method but also divining techniques and other authentic Chinese methods that make analysis more complete. Illustrations.