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 ...
Read More
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.
Read Less
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Good. . All orders guaranteed and ship within 24 hours. Your purchase supports More Than Words, a nonprofi t job training program for youth, empowering youth to take charge of their lives by taking charge of a business.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Book is in good condition and may include underlining highlighting and minimal wear. The book can also include From the library of labels. May not contain miscellaneous items toys dvds etc. We offer 100% money back guarantee and 24 7 customer service.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fair. The cover has visible markings and wear. The dust jacket shows normal wear and tear. The pages show normal wear and tear. There is a signature or handwriting on the inside front cover. There is light highlighting or handwriting through out the book. Codes or product keys that accompany this product may not be valid. Fast Shipping in a Standard Poly Mailer!
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fair. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear. It may also be ex-library or without dustjacket. This is a used book. It may contain highlighting/underlining and/or the book may show heavier signs of wear. It may also be ex-library or without dustjacket.
