The Golden Section

Author: Scott Olson
Publisher: Bloomsbury Publishing USA
ISBN: 9780802715395
Release Date: 2006-10-17
Genre: Mathematics

Tells the story of the golden section, a line segment divided into two parts such that the ratio of the short portion to the longer portion is equal to the ratio of the longer portion to the whole, and its impact on civilization and the natural world.

Sacred Number

Author:
Publisher: Bloomsbury Publishing USA
ISBN: 9780802714565
Release Date: 2005-07-01
Genre: Mathematics

Beautifully illustrated with many old engravings as well as contemporary imagery, "Sacred Number" covers basic counting systems and the widespread use of 20 important numbers from major religious texts; the importance of astronomy, geometry, and music to number quality; and how numbers affect architecture.

Symmetry

Author: David Wade
Publisher: Bloomsbury Publishing USA
ISBN: 9780802715388
Release Date: 2006-10-17
Genre: Mathematics

As much of interest to mathematicians as it is to artists, as relevant to physics as to architecture, symmetry underlies almost every aspect of nature and our experience of the world. Illustrated with old engravings and original work by the author, this book moves from church windows and mirror reflections to the deepest ideas of hidden symmetries in physics and geometry, music and the arts, left- and right-handedness.

Sciencia

Author: Burkard Polster
Publisher: Bloomsbury Publishing USA
ISBN: 9780802778994
Release Date: 2011-10-25
Genre: Mathematics

Six titles in the acclaimed Wooden Books series appear here in one volume - a compendium of modern scientific knowledge.

Sacred Geometry

Author: Miranda Lundy
Publisher: Bloomsbury Publishing USA
ISBN: 9780802713827
Release Date: 2001-04-01
Genre: Mathematics

A unique introduction to this most ancient and timeless of universal sciences.

Ruler and Compass

Author: Andrew Sutton
Publisher: Bloomsbury Publishing USA
ISBN: 9780802717764
Release Date: 2009-10-27
Genre: Mathematics

An introduction to geometry without measurements.

A Little Book of Coincidence

Author: John Martineau
Publisher: Bloomsbury Publishing USA
ISBN: 9780802713889
Release Date: 2002-04-01
Genre: Juvenile Nonfiction

Looks at the orbital patterns of the planets and the mathematical patterns surrounding them.

Harmonograph

Author: Anthony Ashton
Publisher: Bloomsbury Publishing USA
ISBN: 9780802714091
Release Date: 2003-04-01
Genre: Mathematics

Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.

The Golden Ratio

Author: Mario Livio
Publisher: Broadway Books
ISBN: 0307485528
Release Date: 2008-11-12
Genre: Mathematics

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. 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.

Useful Mathematical and Physical Formulae

Author: Matthew Watkins
Publisher: Bloomsbury Publishing USA
ISBN: 9780802713803
Release Date: 2001-04-01
Genre: Mathematics

A compact volume of mathematical and physical formulae presented in a concise manner for general use. Collected in this book are commonly used formulae for studies such as quadratics, calculus and trigonometry; in addition are simplified explanations of Newton's Laws of Gravity and Snell's Laws of Refraction. A glossary, a table of mathematical and physical constants, and a listing of Imperial and Metric conversions is also included.

Geometry and the Visual Arts

Author: Daniel Pedoe
Publisher: Courier Corporation
ISBN: 048624458X
Release Date: 1976
Genre: Mathematics

This survey traces the effects of geometry on artistic achievement and clearly discusses its importance to artists and scientists. It also surveys projective geometry, mathematical curves, theories of perspective, architectural form, and concepts of space.

Islamic Design

Author: Daud Sutton
Publisher: Bloomsbury Publishing USA
ISBN: 9780802716354
Release Date: 2007-11-13
Genre: Art

An exploration of the construction and meaning of Islamic geometric patterns. Throughout their long history the craft traditions of the Islamic world evolved a multitude of styles applied to a great variety of media but always with unifying factors that make them instantly recognizable. 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. Focusing on Islamic geometric patterns, simple and complex, man-made and in nature, this book offers unique insight into Islamic culture.

Sacred Mathematics

Author: Hidetoshi Fukagawa
Publisher: Princeton University Press
ISBN: 069112745X
Release Date: 2008
Genre: Art

"An enchanting history of Japanese geometry--of a time and place where 'geometers did not cede place to poets.' This intersection of science and culture, of the mathematical, the artistic, and the spiritual, is packed, like circles within circles, with rewarding Aha! epiphanies that drive a mathematician's curiosity."--Siobhan Roberts, author of "King of Infinite Space" "Teachers will welcome this remarkable collection of mathematical problems, history, and art, which will enrich their curriculum and promote both logical thinking and critical evaluation. It is especially important that we maintain an interest in geometry, which needs, and for once gets, more than its share."--Richard Guy, coauthor of "The Book of Numbers" "This remarkable book provides a novel insight into the Japanese mathematics of the past few hundred years. It is fascinating to see the difference in mathematical style from that which we are used to in the Western world, but the book also elegantly illustrates the cross-cultural Platonic nature and profound beauty of mathematics itself."--Roger Penrose, author of "The Road to Reality" "A significant contribution to the history of mathematics. The wealth of mathematical problems--from the very simple to quite complex ones--will keep the interested reader busy for years. And the beautiful illustrations make this book a work of art as much as of science. Destined to become a classic!"--Eli Maor, author of "The Pythagorean Theorem: A 4,000-Year History" "A pleasure to read. "Sacred Mathematics" brings to light the unique style and character of geometry in the traditional Japanese sources--in particular the "sangaku" problems. These problems range from trivial to utterly devilish. I found myself captivated by them, and regularly astounded by the ingenuity and sophistication of many of the traditional solutions."--Glen Van Brummelen, coeditor of "Mathematics and the Historian's Craft"

Li

Author: David Wade
Publisher: Bloomsbury Publishing USA
ISBN: 9780802714107
Release Date: 2003-04-01
Genre: Science

A short, illustrated introduction to Li, the sister science to Feng Shui, the study of naturally occurring shapes and patterns. Illustrations.

Q E D

Author: Burkard Polster
Publisher: Bloomsbury Publishing USA
ISBN: 9780802714312
Release Date: 2004-05-01
Genre: Mathematics

Q.E.D. 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.