Skip to content

The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
Stock Photo: Cover May Be Different

The Golden Ratio: The Story of Phi, the World's Most Astonishing Number Hardcover - 2002

by Mario Livio


Summary

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.

First line

The famous British physicist Lord Kelvin (William Thomson; 1824-1907), after whom the degrees in the absolute temperature scale are named, once said in a lecture: "When you cannot express it in numbers, your knowledge is of a meager and unsatisfactory kind."

Details

  • Title The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
  • Author Mario Livio
  • Binding Hardcover
  • Edition First Edition
  • Pages 294
  • Volumes 1
  • Language ENG
  • Publisher Broadway Books, New York
  • Date October 29, 2002
  • Illustrated Yes
  • ISBN 9780767908153 / 0767908155
  • Weight 1.22 lbs (0.55 kg)
  • Dimensions 9.46 x 6.36 x 1.05 in (24.03 x 16.15 x 2.67 cm)
  • Library of Congress Catalog Number 2002023084
  • Dewey Decimal Code 516.204
Back to Top

More Copies for Sale

The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
Stock Photo: Cover May Be Different

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

  • Used
Condition
UsedGood
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
1
Seller
Annandale, New Jersey, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
£2.37
£3.16 shipping to USA

Show Details

Description:
UsedGood. Fast shipping and order satisfaction guaranteed. A portion of your purchase benefits charities, First Aid and Fire Stations!
Item Price
£2.37
£3.16 shipping to USA
The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
Stock Photo: Cover May Be Different

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

by Livio, Mario

  • Used
  • Good
  • Hardcover
Condition
Used - Good
Binding
Hardcover
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
1
Seller
Champaign, Illinois, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
£2.61
£3.16 shipping to USA

Show Details

Description:
Broadway, 2002-10-29. Hardcover. Good. Ships quickly. Almost very good. Slight foxing on top edges of pages. Mild shelf/reading wear. Orphans Treasure Box sells books to raise money for orphans and vulnerable kids.
Item Price
£2.61
£3.16 shipping to USA
The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
Stock Photo: Cover May Be Different

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

by Livio, Mario

  • Used
  • Good
  • Hardcover
Condition
Used - Good
Binding
Hardcover
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
1
Seller
Kingwood, Texas, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
£4.29
FREE shipping to USA

Show Details

Description:
Broadway, 2002-10-29. Hardcover. Good. 9x6x1.
Item Price
£4.29
FREE shipping to USA
The Golden Ratio: The Story of Phi, the World's Most Astonishing Number
Stock Photo: Cover May Be Different

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

by Livio, Mario

  • Used
  • Good
  • Hardcover
Condition
Used - Good
Binding
Hardcover
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
1
Seller
Memphis, Tennessee, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
£4.30
FREE shipping to USA

Show Details

Description:
Broadway, 2002-10-29. Hardcover. Good. 6x1x9.
Item Price
£4.30
FREE shipping to USA
The Golden Ratio : The Story of Phi, the World's Most Astonishing Number

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

by Mario Livio

  • Used
  • Acceptable
  • Hardcover
Condition
Used - Acceptable
Binding
Hardcover
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
4
Seller
Seattle, Washington, United States
Seller rating:
This seller has earned a 4 of 5 Stars rating from Biblio customers.
Item Price
£4.79
FREE shipping to USA

Show Details

Description:
Broadway Books, 2002. Hardcover. Acceptable. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
Item Price
£4.79
FREE shipping to USA
The Golden Ratio : The Story of Phi, the World's Most Astonishing Number

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

by Mario Livio

  • Used
  • Good
  • Hardcover
Condition
Used - Good
Binding
Hardcover
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
3
Seller
Seattle, Washington, United States
Seller rating:
This seller has earned a 4 of 5 Stars rating from Biblio customers.
Item Price
£4.79
FREE shipping to USA

Show Details

Description:
Broadway Books, 2002. Hardcover. Good. Missing dust jacket; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
Item Price
£4.79
FREE shipping to USA
The Golden Ratio : The Story of Phi, the World's Most Astonishing Number

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

by Mario Livio

  • Used
  • Acceptable
  • Hardcover
Condition
Used - Acceptable
Binding
Hardcover
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
1
Seller
Seattle, Washington, United States
Seller rating:
This seller has earned a 4 of 5 Stars rating from Biblio customers.
Item Price
£4.79
FREE shipping to USA

Show Details

Description:
Broadway Books, 2002. Hardcover. Acceptable. Missing dust jacket; Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
Item Price
£4.79
FREE shipping to USA
The Golden Ratio : The Story of Phi, the World's Most Astonishing Number

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

by Mario Livio

  • Used
  • Hardcover
Condition
New
Binding
Hardcover
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
2
Seller
Seattle, Washington, United States
Seller rating:
This seller has earned a 4 of 5 Stars rating from Biblio customers.
Item Price
£4.79
FREE shipping to USA

Show Details

Description:
Broadway Books, 2002. Hardcover. Like New. Pages are clean and are not marred by notes or folds of any kind. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
Item Price
£4.79
FREE shipping to USA
The Golden Ratio : The Story of Phi, the World's Most Astonishing Number
Stock Photo: Cover May Be Different

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

by Livio, Mario

  • Used
Condition
Used - Good
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
3
Seller
Mishawaka, Indiana, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
£5.74
FREE shipping to USA

Show Details

Description:
Broadway Books. Used - Good. Used book that is in clean, average condition without any missing pages.
Item Price
£5.74
FREE shipping to USA
The Golden Ratio : The Story of Phi, the World's Most Astonishing Number
Stock Photo: Cover May Be Different

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

by Livio, Mario

  • Used
Condition
Used - Good
ISBN 10 / ISBN 13
9780767908153 / 0767908155
Quantity Available
2
Seller
Reno, Nevada, United States
Seller rating:
This seller has earned a 5 of 5 Stars rating from Biblio customers.
Item Price
£5.74
FREE shipping to USA

Show Details

Description:
Broadway Books. Used - Good. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages.
Item Price
£5.74
FREE shipping to USA