This gorgeous book features clear, entertaining, and enlightening commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties.  With its lush format and layflat dimensions that closely approximate the golden ratio, this is the ultimate coffee table book for math enthusiasts, architects, designers, and fans of sacred geometry.

    Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

    Increasingly, the decisions that affect our lives--where we go to school, whether we can get a job or a loan, how much we pay for health insurance--are being made not by humans, but by machines. In theory, this should lead to greater fairness: Everyone is judged according to the same rules.But as mathematician and data scientist Cathy O'Neil reveals, the mathematical models being used today are unregulated and uncontestable, even when they're wrong. Most troubling, they reinforce discrimination--propping up the lucky, punishing the downtrodden, and undermining our democracy in the process.

    Hailed as "a masterpiece" and as "the single most profound reference of its kind." it is the most comprehensive and authoritative text on tarot available today.

    Bernard Haisch contends that there is a purpose and an underlying intelligence behind the Universe, one that is consistent with modern science, especially the Big Bang and evolution. It is based on recent discoveries that there are numerous coincidences and fine-tunings of the laws of nature that seem extraordinarily unlikely.A more rational concept of God is called for. As astrophysicist Sir James Jeans wrote, "the Universe begins to look more like a great thought than like a great machine."Despite bestsellers by Christopher Hitchens, Richard Dawkins, and Sam Harris that have denounced the evils of religion and proclaimed that science has shown that there is no God, The Purpose-Guided Universe shows how one can believe in God and science.

    This wonderfully insightful volume introduces some of the metaphors useful for establishing attitudes required for the soul's advancement: trust, confidence, hope, and detachment. It is a reminder that when any substance or entity undergoes dissolution, it must eventually be resolved or re-crystalized in a new, possibly higher and more noble form.

    But magic - the idea that we have a connection with the universe - has developed a bad reputation.It has been with us for millennia - from the curses and charms of ancient Greek, Roman and Jewish magic, to the shamanistic traditions of Eurasia, indigenous America and Africa, and even quantum physics today. Even today seventy-five per cent of the Western world holds some belief in magic, whether snapping wishbones, buying lottery tickets or giving names to inanimate objects.Drawing on his decades of research, with incredible breadth and authority, Professor Chris Gosden provides a timely history of human thought and the role it has played in shaping civilization, and how we might use magic to rethink our understanding of the world.

    Paramahansa Yogananda presents an illuminating explanation of Lord Krishna's sublime Yoga message that he preached to the world - the way of right activity and meditation for divine communion.

    Tom Cowan has pursued this theme in a lyrical cross-cultural exploration of shamanism and the Celtic imagination that examines the myths and tales of the ancient Celtic poets and storytellers, and outlines techniques used to access the shaman's world.Tom Cowan is the author of 'How to Top Into Your Own Genius' and coauthor of 'Power of the Witch and Love Magic'."An engrossing, intelligent, and shamanically well-informed work that is an important gift to all those Westerners seeking a knowledge of Celtic shamanism"MICHAEL HARNER, PH. D., author of 'The Way of the Shaman'"An important and fascinating work on Celtic shamanism. Highly recommended"SERGE KAHILI KING, author of 'Urban Shaman'"A fascinating and entertaining study…(illuminating) glimpses of an original Celtic shamanism that appears in British and Irish folklore and literary remains. 'Fire in the Head' also offers an account of Celtic supernaturalism in general, and unveils the mysterious background of certain folk heroes, such as Robin Hood"AKE HULTKRANTZ, author of 'Native Religions of North America'"A remarkable exploration of shamanism (using) cross-cultural myths to explain the history and roots of the Celtic spirit"SANDRA INGERMAN, author of 'Soul Retrieval: Mending the Fragmented Self'

    Yet, inexplicably, in the light of astonishing intellectual and technological advancement, Man's progress has been halted in one crucial area; he still indulges the primitive beast within and makes war upon his neighbors.As a result of seven years of intense research, William Bramley has uncovered the sinister thread that links humanity's darkest events -- from the wars of the ancient pharaohs to the assassination of JFK. In this remarkable, shocking and absolutely compelling work, Bramley presents disturbing evidence of an alien presence on Earth -- extraterrestrial visitors who have conspired to dominate Humankind through violence and chaos since the beginning of time...a conspiracy which continues to this very day.

    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.

    In Turing’s Cathedral, George Dyson focuses on a small group of men and women, led by John von Neumann at the Institute for Advanced Study in Princeton, New Jersey, who built one of the first computers to realize Alan Turing’s vision of a Universal Machine. Their work would break the distinction between numbers that mean things and numbers that do things—and our universe would never be the same. Using five kilobytes of memory (the amount allocated to displaying the cursor on a computer desktop of today), they achieved unprecedented success in both weather prediction and nuclear weapons design, while tackling, in their spare time, problems ranging from the evolution of viruses to the evolution of stars. Dyson’s account, both historic and prophetic, sheds important new light on how the digital universe exploded in the aftermath of World War II. The proliferation of both codes and machines was paralleled by two historic developments: the decoding of self-replicating sequences in biology and the invention of the hydrogen bomb. It’s no coincidence that the most destructive and the most constructive of human inventions appeared at exactly the same time.  How did code take over the world? In retracing how Alan Turing’s one-dimensional model became John von Neumann’s two-dimensional implementation, Turing’s Cathedral offers a series of provocative suggestions as to where the digital universe, now fully three-dimensional, may be heading next.

    Some special features of Volume I include: complete sample character readings with step-by-step guidelines, and illustrations of how to resolve the conflicts and ambiguities present in any character reading.

    Eliot Porter's photographs of the natural world, spanning thirty-five years and five continents -- from an Antarctic ice floe to an American desert to an Icelandic lava field -- reveal in mesmerizing ways what scientists are beginning to see for themselves: the patterns, relations, and interactions present in nature's disorder and wildness. This is the perfect marriage of image and text -- brilliant full-color photographs by the preeminent nature photographer of his generation together with an illuminating essay by the widely praised author of Chaos.