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The golden ratio : the story of phi, the world's most astonishing number

Author: Mario Livio
Publisher: New York : Broadway Books, 2002.
Edition/Format:   Print book : English : 1st edView all editions and formats
Database:WorldCat
Summary:
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, the author 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  Read more...
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Additional Physical Format: Online version:
Livio, Mario, 1945-
Golden ratio.
New York : Broadway Books, 2002
(OCoLC)625287182
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Mario Livio
ISBN: 0767908155 9780767908153
OCLC Number: 49226115
Description: viii, 294 pages : illustrations ; 25 cm
Contents: Prelude to a number --
The pitch and the pentagram --
Under a star-Y-pointing pyramid? --
The second treasure --
Son of good nature --
The divine proportion --
Painters and poets have equal license --
From the tiles to the heavens --
Is God a mathematician?
Responsibility: Mario Livio.
More information:

Abstract:

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, the author 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! This book 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, the author reveals the world as a place where order, beauty, and eternal mystery will always coexist.

Table of Contents:

by SammyB428 (WorldCat user on 2007-11-16)

1. Prelude to a Number 2. The Pitch and the Pentagram 3. Under a Star-y-pointing Pyramid? 4. The Second Treasure 5. Son of Good Nature 6. The Divine Proportion 7. Painters and Poets Have Equal License 8. From the Tiles to the Heavens 9. Is God a Mathematician?

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