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, good condition, Sold by Zoom Books East rated 5.0 out of 5 stars, ships from Glendale Heights, IL, 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. $0.99, fair condition, Sold by ZBK Books rated 5.0 out of 5 stars, ships from Woodland Park, NJ, UNITED STATES, published 2003 by Crown.
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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.
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Add this copy of The Golden Ratio: the Story of Phi, the World's Most to cart. $1.45, fair condition, Sold by Orion Tech rated 5.0 out of 5 stars, ships from Arlington, TX, UNITED STATES, published 2003 by Crown.
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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.
