From the observations of Ptolemy and Kepler to the Harmony of the Spheres and the hidden structure of the solar system, John Martineau reveals the exquisite orbital patterns of the planets and the mathematical relationships that govern them. A table shows the relative measurements of each planet in eighteen categories, and three pages show the beautiful dance patterns of thirty six pairs of planets and moons.

    Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; how numbers affect architecture. Lundy explains why the ideas of Pythagoras still resonate, and she profiles each number from one to ten to show its distinct qualities: why, for example, the golden section is associated with five, and seven with the Virgin Mary.

    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.

    presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras's theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes' method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

    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.

    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 this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    What is a tree? Why are they so important to life on Earth? How do they eat, breathe, grow, communicate, and regenerate themselves? How many different kinds of trees are there, and where do they live? In this beautiful little book, illustrated with rare old engravings and specially commissioned drawings, internationally renowned Finnish tree expert Professor Olavi Huikari takes us on an unforgettable journey deep into the secrets of these most majestic of Earth's life forms.

    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.

    A rich source of information for readers of all ages, this book is divided into two sections, first looking at major sources of symbols (basic shapes, colors and numbers, the natural world), then, placing symbols in context of mythologies and religions, the human life cycle, people and culture, and symbol systems. Clear cross-referencing illuminates connections between symbols, while beautiful artwork and photography make this a collector's edition to treasure.

    These in turn are corresponded to language as musical metaphor. This, in combination with novel graphics and symbols, carries the reader to a basic understanding of melodic, harmonic, and rhythmic principles, as well as Western musical notation. A great primer on music theory for the novice or professional, as well as an invaluable resource for composers and students, it includes the following:- A rich unfolding of metaphors and illustrations to elucidate a notoriously impenetrable and abstract subject.- The properties of the overtone series and how it influences harmonic and melodic thought.- A discussion of epigrams and dialectics exploring how meaning is carried through time.- Rhythm and meter as the marking of time and the organization of it into self-similar structures.- From the circle of fifths to intervals, triads, and later seventh chords and extensions.- How major/minor key tonality and modulation occur, and how they differ from music based upon drones or other types of scales.- How form and structure reflect the relationship of humans to time and emotional states.- A wealth of scales, rhythmic patterns, and notation references in the appendices.

    Told through an examination of animal and plant life today - with occasional juxtapositions of extinct fossil forms to reveal the origin of living creatures - "Life on Earth" is an astonishing pageant of life, with a cast of characters drawn from the whole range of living animals the world over. Attenborough's perceptive, dynamic approach to the evolution of some four million species of living organisms that populate the planet is to trace the most significant thread in the history of each major group. He then proceeds to explain from the evidence of living representatives and fossil remains why certain animals adapted and survived, evolved to more complex and "higher" forms of life, while others, by some inherent limitation imposed by their physiology or structure, failed and became extinct. "Life on Earth" is a book of wonders. A model of clarity and ease as a guide, Attenborough takes the reader around the world with him into jungles where orchids have petals that "impersonate" wasps to attract pollinating insects; to Australia, where honeypot ants force feed nectar to workers of a special caste, then hang them up by their forelegs like living storage jars; to remote mountains in Japan where little monkeys called macaques have learned to combat the winter snows by bathing in hot volcanic springs.

    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.

    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.

    About The Author: Henry Gray, F.R.S., Fellow of the royal college of Surgeons: Lecturer on anatomy at St. George?s Hospital Medical School. Table Of Contents: Descriptive and Surgical Anatomy The Articulations Muscles and Fasclae The Blood-vascular system The Lymphatics The Nervous system The Organs of special sense The Organs of Digestion The Organs of voice and respiration The urinary organs The Male Organs of Generation The Female Organs of Generation The Surgical Anatomy of Hernia Surgical Anatomy of the Perinaeum General Anatomy or Histology Embryology