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The Golden Ratio: The Story of PHI, the World's Most Astonishing Number

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The Golden Ratio: The Story of PHI, the World's Most Astonishing Number Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Mario Livio is head of the Science Division at the Hubble Space Telescope Institute, where he studies a broad range of subjects in astrophysics, particularly the rate of expansion of the universe. He is the

Synopsis:

From the author of The Accelerating Universe comes a thought-provoking look at phi or "The Golden Ratio," discovered by Euclid more than two thousand years ago, examining the meaning of this remarkable mathematical proportion in terms of science, biology, art and architecture, philosophy, and other fields. Reprint.

Synopsis:

Mario Livio is head of the Science Division at the Hubble Space Telescope Institute, where he studies a broad range of subjects in astrophysics, particularly the rate of expansion of the universe. He is the author of one previous book, The Accelerating Universe (2000). He is a frequent public lecturer at such venues as the Smithsonian Institution and the Hayden Planetarium. He lives in Baltimore, Maryland.

From the Hardcover edition.

Table of Contents

Preface — Prelude to a number — Pitch and the pentagram — Under a star-y pointing pyramid? — Second treasure — Son of good nature — Divine proportion — Painters and poets have equal license — From the tiles to the heavens — Is God a mathematician?

Product Details

ISBN:
9780307485526
Subtitle:
The Story of Phi, the World's Most Astonishing Number
Publisher:
Broadway Books
Author:
Livio, Mario
Author:
Mario, Livio
Subject:
Mathematics : Research
Subject:
History -- Philosophy.
Subject:
Geometry - General
Subject:
Research
Subject:
Mathematics - General
Subject:
Mathematics -- History.
Subject:
Mathematics-Popular Surveys and Recreational
Subject:
Mathematics-Reference
Subject:
main_subject
Subject:
all_subjects
Publication Date:
20030923
Binding:
ELECTRONIC
Language:
English
Pages:
294

Related Subjects

Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Reference

The Golden Ratio: The Story of PHI, the World's Most Astonishing Number
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Product details 294 pages Crown Publishing Group - English 9780307485526 Reviews:
"Synopsis" by , Mario Livio is head of the Science Division at the Hubble Space Telescope Institute, where he studies a broad range of subjects in astrophysics, particularly the rate of expansion of the universe. He is the
"Synopsis" by , From the author of The Accelerating Universe comes a thought-provoking look at phi or "The Golden Ratio," discovered by Euclid more than two thousand years ago, examining the meaning of this remarkable mathematical proportion in terms of science, biology, art and architecture, philosophy, and other fields. Reprint.
"Synopsis" by , Mario Livio is head of the Science Division at the Hubble Space Telescope Institute, where he studies a broad range of subjects in astrophysics, particularly the rate of expansion of the universe. He is the author of one previous book, The Accelerating Universe (2000). He is a frequent public lecturer at such venues as the Smithsonian Institution and the Hayden Planetarium. He lives in Baltimore, Maryland.

From the Hardcover edition.

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