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The Golden Ratio: The Story of PHI, the World's Most Astonishing Number
by Livio, Mario
- Used
- Condition
- Used - Very Good
- ISBN 10
- 0767908163
- ISBN 13
- 9780767908160
- Seller
-
Waltham, Massachusetts, United States
Payment Methods Accepted
About This Item
Crown. Used - Very Good. . . All orders guaranteed and ship within 24 hours. Your purchase supports More Than Words, a nonprofit job training program for youth, empowering youth to take charge of their lives by taking charge of a business.
Synopsis
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.
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Details
- Bookseller
- More Than Words Inc.
(US)
- Bookseller's Inventory #
- WAL-H-4e-002120
- Title
- The Golden Ratio: The Story of PHI, the World's Most Astonishing Number
- Author
- Livio, Mario
- Book Condition
- Used - Very Good
- Binding
- Paperback
- ISBN 10
- 0767908163
- ISBN 13
- 9780767908160
- Publisher
- Crown
- Place of Publication
- New York, New York, U.s.a.
- This edition first published
- September 23, 2003
Terms of Sale
More Than Words Inc.
30 day return guarantee, with full refund including original shipping costs for up to 30 days after delivery if an item arrives misdescribed or damaged.
About the Seller
More Than Words Inc.
Biblio member since 2016
Waltham, Massachusetts
About More Than Words Inc.
More Than Words empowers youth who are in foster care, court-involved, homeless or out of school to take charge of their lives by taking charge of a business. MTW believes that when system-involved youth are challenged with authentic and increasing responsibilities in a business setting, and are given high expectations and a culture of support, they can and will address personal barriers to success, create concrete action plans for their lives, and become contributing members of society. More Than Words began as an online bookselling training program for youth in DCF custody in 2004 and opened its vibrant bookstore on Moody St in Waltham in 2005 and added its Starbucks coffee bar in 2008. MTW replicated its model in the South End of Boston in 2011, thereby doubling the number of youth served annually.
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