In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    But can you make that trendy new lamp jibe with your grandmother's heirloom dresser?The fabulous Beekman Boys answer with a resounding "Yes!" in their new book, Beekman 1802 Style. Through more than 200 stunning photographs from Country Living magazine and never-before-seen images of the Beekman farmhouse, the boys use their city-turned-country-boy charm and style to help with all things home. Their unique home design tips and tricks for mixing high and low, East and West, indoors and outdoors, and traditional with modern will help you create a home that is inviting, warm, and--perhaps most important--fabulous.

    Groundbreaking in every way when first published, this book is a simple, straightforward, direct calculus text. It's popularity is directly due to its broad use of applications, the easy-to-understand writing style, and the wealth of examples and exercises which reinforce conceptualization of the subject matter. The author wrote this text with three objectives in mind. The first was to make the book more student-oriented by expanding discussions and providing more examples and figures to help clarify concepts. To further aid students, guidelines for solving problems were added in many sections of the text. The second objective was to stress the usefulness of calculus by means of modern applications of derivatives and integrals. The third objective, to make the text as accurate and error-free as possible, was accomplished by a careful examination of the exposition, combined with a thorough checking of each example and exercise.

    This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs. A Beginner's Guide to Constructing, the Universe shows you: Why cans, pizza, and manhole covers are round.Why one and two weren't considered numbers by the ancient Greeks.Why squares show up so often in goddess art and board games.What property makes the spiral the most widespread shape in nature, from embryos and hair curls to hurricanes and galaxies. How the human body shares the design of a bean plant and the solar system. How a snowflake is like Stonehenge, and a beehive like a calendar. How our ten fingers hold the secrets of both a lobster a cathedral, and much more.

    Suitable for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory, this book aims to give students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences.

    In this small volume, Miranda Lundy presents a unique introduction to this most ancient and timeless of universal sciences.Sacred Geometry demonstrates what happens to space in two dimensions - a subject last flowering in the art, science and architecture of the Renaissance and seen in the designs of Stonehenge, mosque decorations and church windows. With exquisite hand-drawn images throughout showing the relationship between shapes, the patterns of coin circles, and the definition of the golden section, it will forever alter the way in which you look at a triangle, hexagon, arch, or spiral.

    Studioilse, the award-winning design studio founded by Ilse Crawford, bridges the worlds of interior design, architecture, and product design with the philosophy of putting the human being at the center. Fascinated by what drives us and makes us feel alive, Crawford says: "When I look at making spaces, I don’t just look at the visual. I’m much more interested in the sensory thing, in thinking about it from the human context, the primal perspective, the thing that touches you." Featuring Studioilse’s work to date, from private residences to hotels, restaurants, and retail projects, this book illustrates the effectiveness of design grounded in human needs and desires. Layering materials and textures, combined with her understanding of human behavior, Crawford’s designs are sensual and accessible. A forerunner of the holistic design movement a decade ago, her humanistic approach has now become the norm. This volume illustrates why Crawford’s design philosophy is so seminal—her work has influenced not only a generation of Dutch and European designers, but also Americans due to her acclaimed Soho House New York. With new photography and essays by Crawford and design critic Edwin Heatcote, this inspirational volume is sure to be one of the most important design books of the year.

    Originally marked out by eye and later by use of a stretched cord, in time these forms came to be made with the simple tools of ruler and compass.This small book introduces the origins and basic principles of geometric constructions using these ancient tools, before going on to cover dozens of geometric forms, from practical fundamentals to more challenging constructions.

    Le Modulor was published in 1950 and after meeting with success, Le Corbusier went on to publish Modulor 2 in 1955. In many of Le Corbusier's most notable buildings, including the Chapel at Ronchamp and the Unite d'habitation, evidence of his Modulor system can be seen. These two volumes form an important and integral part of Le Corbusier's theoretical writings.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    Through the worst years of the Great Depression as many as five thousand laborers toiled twenty-four hours a day, seven days a week, to erect the huge structure that would harness the Colorado River and transform the American West.Construction of the giant dam was a triumph of human ingenuity, yet the full story of this monumental endeavor has never been told. Now, in an engrossing, fast-paced narrative, Joseph E. Stevens recounts the gripping saga of Hoover Dam. Drawing on a wealth of material, including manuscript collections, government documents, contemporary newspaper and magazine accounts, and personal interviews and correspondence with men and women who were involved with the construction, he brings the Hoover Dam adventure to life.Described here in dramatic detail are the deadly hazards the work crews faced as they hacked and blasted the dam’s foundation out of solid rock; the bitter political battles and violent labor unrest that threatened to shut the job down; the deprivation and grinding hardship endured by the workers’ families; the dam builders’ gambling, drinking, and whoring sprees in nearby Las Vegas; and the stirring triumphs and searing moments of terror as the massive concrete wedge rose inexorably from the canyon floor.Here, too, is an unforgettable cast of characters: Henry Kaiser, Warren Bechtel, and Harry Morrison, the ambitious, headstrong construction executives who gambled fortune and fame on the Hoover Dam contract; Frank Crowe, the brilliant, obsessed field engineer who relentlessly drove the work force to finish the dam two and a half years ahead of schedule; Sims Ely, the irascible, teetotaling eccentric who ruled Boulder City, the straightlaced company town created for the dam workers by the federal government; and many more men and women whose courage and sacrifice, greed and frailty, made the dam’s construction a great human, as well as technological, adventure.Hoover Dam is a compelling, irresistible account of an extraordinary American epic.

    But in Art & Physics, Leonard Shlain tracks their breakthroughs side by side throughout history to reveal an astonishing correlation of visions.From teh classical Greek sculptors to Andy Warhol and Jasper Johns, and from Aristotle to Einstein, aritsts have foreshadowed the discoveries of scientists, such as when Money and Cezanne intuited the coming upheaval in physics that Einstein would initiate. In this lively and colorful narrative, Leonard Shlain explores how artistic breakthroughs could have prefigured the visionary insights of physicists on so many occasions throughtout history.Provacative and original, Art & Physics is a seamless integration of the romance of art and the drama of science...and exhilarating history of ideas.

    Appropriated, chewed up, mulled over, digested, contemplated, and contorted - gathering up along the way fashion, ecology, politics, and art - architectural concepts become veritable things unto themselves in the present tense. As astoundingly diverse as contemporary architecture is, most importantly it is a reflection of what's happening right now all over the world, in people's minds and in the global collective consciousness. The many faces of world architecture today make for a mind-expanding book. Here you'll find the most recent work of over 60 architects and firms, including familiar names such as O. Gehry, Meier, Ando, Foster, and Starck, as well as a host of newcomers sure to be the architecture-celebrities of future generations. Highlights include Jakob & MacFarlane's morphological Restaurant at the Centre Georges Pompidou, Diller & Scofidio's "Blur Building" proposal for the International Expo 2001 in Switzerland (an ovular structure suspended over a lake, encapsulated by a fine mist of water, creating the look of a cloud hovering over the lake), and Herzog & de Meuron's remarkable Tate Modern. Proving that contemporary architecture is not limited to physical building design, New York firm Asymptote's Guggenheim Virtual Museum is also included, a place where visitors can take a cyber-stroll through rooms that are designed to be "compelling spatial environments." Presented alphabetically by architect or firm, Architecture Now! can be used like a reference guide, with extensive photographs and illustrations, biographical and contact information for designers, and a careful selection of today's most influential architects.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    If you are new to the Zentangle process, you will enjoy other books in this series: 'Zentangle Basics', 'Zentangle 2', and 'Totally Tangled'. These intriguing patterns all begin by following the Zen of tangle basics - start with simple lines and fill in the spaces, one step at a time. There are no mistakes, only opportunities. Like life, the designs develop into something unique and beautiful as they grow. This inspiring book is packed with plenty of ideas for combining tangles to create rich and delightful graphics.