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

Download Ebook 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

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

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Product details

Library Binding

Publisher: Paw Prints 2008-06-05; Reprint edition (June 5, 2008)

Language: English

ISBN-10: 1435298330

ISBN-13: 978-1435298330

Product Dimensions:

0.8 x 5.2 x 8.2 inches

Shipping Weight: 12 ounces (View shipping rates and policies)

Average Customer Review:

4.3 out of 5 stars

171 customer reviews

Amazon Best Sellers Rank:

#672,544 in Books (See Top 100 in Books)

Dr. Mario Livio takes us on such an engaging and intelligent journey on the history of number and mathematics. The carrot is the search for the golden ratio, and he certainly delivers on that in unexpected ways, debunking common misconceptions such as golden ration being the basis for the pyramids, the parthenon, and many famous artworks. On the other hand, he shows that the actual properties of the golden ratio continue to reveal even greater secrets! The deeper theme of the book is the relationship between mathematics and the real world—does mathematics reflect our universe or does our universe strive to conform to mathematics (a Platonic view)? The excitement and enthusiasm for this pursuit sparkles throughout the book.

Mario Livio's The Golden Ratio nicely balanced the last book I read about the world's most astonishing number. Actually, it far surpassed it! While Livio debunks the opinion of others that phi is conspicuous in the ancient pyramids and other monumental ancient works of art, his lively discussion of other places where we are surprised to find phi is enlightening and entertaining. Whether you are curious to know more about the golden number, the golden ratio, the golden triangle, rectangle, rhombohedra, golden sequences, or golden trees I heartily recommend this book!If it's been a few years since you finished school and like me you "returned" most of the higher math you learned to the teacher (as they say in Mandarin Chinese), you may have to concentrate to follow some of the math proofs.On a personal level, I am tempted to use Benford's Law in our local community center to engage a few of the local leaders. I hope I can find time in the next few weeks! Also, this book also leaves me wanting to read Livio's latest book "Is God a Mathematician?" and a few recent works by others on chaos theory and complexity systems.

Mario Livio gives an accessible and objective history of the occurrences and uses of the Golden Ration. He makes a strong argument for Phi as "the world's most astonishing number" while at the same time mitigating some of the more radical claims about the number and its influence through history.The intricacies of Phi and the surprising places it turns up will certainly be more appreciated given some knowledge of mathematics, but Livio took care to invite the lay reader. His writing, while sometimes technical, is never intimidating, and the hard stuff is nicely tucked in the book's appendices for reader's with a mathematical background to dissect.The book has two main points - one to simply elucidate what Phi is, how its value was obtained and where it's found in mathematically related disciplines and natural phenomena. The other is to determine the validity of claims of humanity's use of it through history - for instance, its use in the construction of the Pyramids of Egypt. When Livio deals with this latter point, he is never romantic and always objective. He analyzes arguments that have been made for Phi's presence in art and architecture and comes to an unambiguous conclusion about Phi's aesthetic merit. I found no reason to disagree with any of his arguments, but I did occasionally find them to be overly exhaustive, particularly when it turns out that certain people thought Phi to be a bit more astonishing than is actually the case. Still, Livio is a cogent writer, and his book is probably the best place to start if you'd like to learn about Phi.

I own several books on dynamic symmetry, which includes the Golden Ratio. Unfortunately all of the other books (3 of them, some rare and out of print) are heavily mathematic in their texts. I would say at least 90% math and about 10% English. So I was stuck trying to decipher the text via the sparce English.This book is not only fun to read (for a non-mathmetician type), it is fairly easy to understand (not a quick read, and at some points it takes some effort), and I would guesstimate about 80% English, 10% essential illustrations, and 10% math.And, since I find all this dynamic symmetry and Phi stuff fascinating--and do not want to go back to school to learn advanced algebra and trig--this book is a godsend!One more thing. This is written by a scientist that can write for non-scientists. He has done his research very thoroughly and covers the subject comprehensively.

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

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

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

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