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 ...
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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.
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Add this copy of The Golden Ratio: the Story of Phi, the World's Most to cart. $0.99, fair condition, Sold by ZBK Books rated 4.0 out of 5 stars, ships from Woodland Park, NJ, UNITED STATES, published 2003 by Crown.
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Fair. Used book-May contain writing notes highlighting bends or folds. Text is readable book is clean and pages and cover mostly intact. May show normal wear and tear. Item may be missing CD. May include library marks. Fast Shipping.
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The cover of this paperback book has curled corners. This paperback book shows normal wear and tear. Shipped to you from Goodwill of the Valleys, Roanoke VA. Thank you for your support!
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Add this copy of The Golden Ratio: the Story of Phi, the World's Most to cart. $1.99, very good condition, Sold by ThriftBooks-Atlanta rated 5.0 out of 5 stars, ships from Brownstown, MI, UNITED STATES, published 2003 by Crown.
Add this copy of The Golden Ratio: the Story of Phi, the World's Most to cart. $1.99, very good condition, Sold by ThriftBooks-Reno rated 5.0 out of 5 stars, ships from Reno, NV, UNITED STATES, published 2003 by Crown.
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Add this copy of The Golden Ratio: the Story of Phi, the World's Most to cart. $1.99, very good condition, Sold by ThriftBooks-Baltimore rated 4.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 2003 by Crown.
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The item shows wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact (including the dust cover, if applicable). Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs, access code or other supplemental materials.