Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

    In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

    Lieberman illuminates how these ongoing changes have brought many benefits, but also have created novel conditions to which our bodies are not entirely adapted, resulting in a growing incidence of obesity and new but avoidable diseases, including type-2 diabetes. He proposes that many of these chronic illnesses persist and in some cases are intensifying because of "dysevolution," a pernicious dynamic whereby only the symptoms rather than the causes of these maladies are treated. And finally—provocatively—he advocates the use of evolutionary information to help nudge, push, and sometimes oblige us to create a more salubrious environment.(With charts and line drawings throughout.)From the Hardcover edition.

    Harmony is central. There are two key aspects to the visual structure of Islamic design, calligraphy using Arabic script-one of the world's great calligraphic traditions-and abstract ornamentation using a varied but remarkably integrated visual language. This art of pure ornament revolves around two central themes; crystalline geometric patterns, the harmonic and symmetrical subdivision of the plane giving rise to intricately interwoven designs that speak of infinity and the omnipresent center; and idealized plant form, spiraling tendrils, leaves, buds and flowers embodying organic life and rhythm.1. WIDE APPEAL: Anyone interested in science, mathematics, design, architecture, and the natural world.2. AUTHORITATIVE: A compelling blend of scholarship and visual presentation, packs an enormous amount of information into a short space.3. BEAUTIFUL PACKAGE: A bargain at $10.00. Winner of First Prize for Nonfiction at the New York Book Show4. SERIES PURPOSE: All are aimed at bringing ancient wisdom forward into the 21st century.5. INSPIRING: The perfect entrée into a challenging topic; will inspire other reading.

    Approaching the memorial, the ground slopes gently downward, and the low walls emerging on either side, growing out of the earth, extend and converge at a point below and ahead. Walking into the grassy site contained by the walls of this memorial, we can barely make out the carved names upon the memorial's walls. These names, seemingly infinite in number, convey the sense of overwhelming numbers, while unifying these individuals into a whole.... So begins the competition entry submitted in 1981 by a Yale undergraduate for the design of the Vietnam Veterans Memorial in Washington, D.C. -- subsequently called "as moving and awesome and popular a piece of memorial architecture as exists anywhere in the world." Its creator, Maya Lin, has been nothing less than world famous ever since. From the explicitly political to the un-ashamedly literary to the completely abstract, her simple and powerful sculpture -- the Rockefeller Foundation sculpture, the Southern Poverty Law Center Civil Rights Memorial, the Yale Women's Table, Wave Field -- her architecture, including The Museum for African Art and the Norton residence, and her protean design talents have defined her as one of the most gifted creative geniuses of the age. Boundaries is her first book: an eloquent visual/verbal sketchbook produced with the same inspiration and attention to detail as any of her other artworks. Like her environmental sculptures, it is a site, but one which exists at a remove so that it may comment on the personal and artistic elements that make up those works. In it, sketches, photographs, workbook entries, and original designs are held together by a deeply personal text. Boundaries is a powerful literary and visual statement by "a leading public artist" (Holland Carter). It is itself a unique work of art.

    This is apparent in the many attempts to purge colour from art, literature and architecture, either by making it the property of some "foreign" body - the oriental, the feminine, the infantile the vulgar or the pathological - or by relegating it to the realm of the superficial, the inessential or the cosmetic, which in many cases amounts to the same thing. In Chromophobia, David Batchelor analyzes the history of, and motivations behind, chromophobia, from its beginnings through examples of nineteenth-century literature, twentieth-century architecture and film, to Pop art, minimalism and the art and architecture of the present day. Batchelor suggests how colour fits, or fails to fit, into the cultural imagination of the West, exploring such diverse themes as Melville's "great white whale," Le Corbusier's "journey to the East," Huxley's experiments with mescaline. Dorothy's travels in the Land of Oz and the implication of modern artists' experiments with industrial paints and materials.

    The highly readable texts and over 800 beautiful full-color images come together in a unique way to convey hidden dimensions of meaning. Each of the ca. 350 essays examines a given symbol’s psychic background, and how it evokes psychic processes and dynamics. Etymological roots, the play of opposites, paradox and shadow, the ways in which diverse cultures have engaged a symbolic image—all these factors are taken into consideration.Authored by writers from the fields of psychology, religion, art, literature, and comparative myth, the essays flow into each other in ways that mirror the psyche’s unexpected convergences. There are no pat definitions of the kind that tend to collapse a symbol; a still vital symbol remains partially unknown, compels our attention and unfolds in new meanings and manifestations over time. Rather than merely categorize, The Book of Symbols illuminates how to move from the visual experience of a symbolic image in art, religion, life, or dreams to directly experiencing its personal and psychological resonance.The Book of Symbols sets new standards for thoughtful exploration of symbols and their meanings, and will appeal to a wide range of readers: artists, designers, dreamers and dream interpreters, psychotherapists, self-helpers, gamers, comic book readers, religious and spiritual searchers, writers, students, and anyone curious about the power of archetypal images.

    This new, revised and extended edition of this seminal work will not only inspire architects and students to design more holistic architecture, but will enrich the general reader's perception of the world around them. The Eyes of the Skin has become a classic of architectural theory and consists of two extended essays. The first surveys the historical development of the ocular-centric paradigm in western culture since the Greeks, and its impact on the experience of the world and the nature of architecture. The second examines the role of the other senses in authentic architectural experiences, and points the way towards a multi-sensory architecture which facilitates a sense of belonging and integration.

    But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.

    Finding patterns and making meaningful connections inside complex data networks has emerged as one of the biggest challenges of the twenty-first century. In recent years, designers, researchers, and scientists have begun employing an innovative mix of colors, symbols, graphics, algorithms, and interactivity to clarify, and often beautify, the clutter. From representing networks of friends on Facebook to depicting interactions among proteins in a human cell, Visual Complexity presents one hundred of the most interesting examples of information-visualization by the field's leading practitioners.

    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.

    Introducing students to a variety of established theories of art, he presents the traditional sets of criteria of Realism, Expressionism, and Formalism, which are in turn updated by recent sources of Poststructuralism. Barrett applies each of these theories to challenging works of contemporary art, pointing out the strengths and weaknesses of each mode of interpretation. He encourages students to consider many criteria when evaluating an artwork, to critically examine judgments made by others, and to make informed judgments of their own. Ideal for courses in aesthetics, art theory, art criticism, and the philosophy of art, Why Is That Art? is organized chronologically according to the history of aesthetics. It features sixty-seven illustrations (twenty-six in a full-color insert), discusses a wide range of American and European artists, and includes an exceptional overview of postmodern pluralism. This unique book will provide students with a newfound appreciation for contemporary art, scholarship, and reasoned argumentation, giving them the confidence to join the fascinating discourse on contemporary art.

    Its authors present a new view of cognition that has important social and ethical implications, for, they assert, the only world we humans can have is the one we create together through the actions of our coexistence. Written for a general audience as well as for students, scholars, and scientists and abundantly illustrated with examples from biology, linguistics, and new social and cultural phenomena, this revised edition includes a new afterword by Dr. Varela, in which he discusses the effect the book has had in the years since its first publication.

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    Rucker acquaints us with Godel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations.Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Godel's incompleteness theorems. His personal encounters with Godel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.