The Golden Ratio
The Story of Phi, the World's Most Astonishing Number
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Narrated by:
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Mel Foster
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By:
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Mario Livio
About this listen
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 2,000 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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In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics.
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Beware
- By Anton Kurtz on 12-08-18
By: Ian Stewart
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The Invention of Science
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- Narrated by: James Langton
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In this fascinating history spanning continents and centuries, historian David Wootton offers a lively defense of science, revealing why the Scientific Revolution was truly the greatest event in our history. The Invention of Science goes back 500 years in time to chronicle this crucial transformation, exploring the factors that led to its birth and the people who made it happen. Wootton argues that the Scientific Revolution was actually five separate yet concurrent events that developed independently.
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A Good Read Spoiled
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Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.
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Wow!
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Far too often, public discussion of science is carried out by journalists, voters, and politicians who have received their science secondhand. The Story of Western Science shows us the joy and importance of reading groundbreaking science writing for ourselves and guides us back to the masterpieces that have changed the way we think about our world, our cosmos, and ourselves.
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Good text, tedious book structure
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By: Susan Wise Bauer
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When Einstein Walked with Gödel
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Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.
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A good overview of scientific theory
- By MJ Walters on 09-11-18
By: Jim Holt
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Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over 2,000 years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics. In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements.
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Funniest Highest and Fullest math overview
- By Francisco Garcia on 12-12-22
By: David Berlinski
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A good book may have the power to change the way we see the world, but a great book actually becomes part of our daily consciousness, pervading our thinking to the point that we take it for granted, and we forget how provocative and challenging its ideas once were - and still are. The Structure of Scientific Revolutions is that kind of book.
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The problem is not with the book
- By Marcus on 08-09-09
By: Thomas S. Kuhn
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The Arabic legacy of science and philosophy has long been hidden from the West. British-Iraqi physicist Jim Al-Khalili unveils that legacy to fascinating effect by returning to its roots in the hubs of Arab innovation that would advance science and jump-start the European Renaissance.
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Very interesting book, well-narrated for sure
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In this fascinating and illuminating work, Leonard Mlodinow guides us through the critical eras and events in the development of science, all of which, he demonstrates, were propelled forward by humankind's collective struggle to know. From the birth of reasoning and culture to the formation of the studies of physics, chemistry, biology, and modern-day quantum physics, we come to see that much of our progress can be attributed to simple questions - why? how? - bravely asked.
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10/10 Got What I Wanted.
- By Austin on 09-22-15
By: Leonard Mlodinow
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The Logical Leap
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Beginning with a detailed discussion of the role of mathematics and experimentation in validating generalizations in physics-looking closely at the reasoning of scientists such as Galileo, Kepler, Newton, Lavoisier, and Maxwell-Harriman skillfully argues that the inductive method used in philosophy is in principle indistinguishable from the method used in physics.
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Quite refreshing
- By Eric on 10-12-10
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Einstein and the Quantum
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Einstein and the Quantum reveals for the first time the full significance of Albert Einstein's contributions to quantum theory. Einstein famously rejected quantum mechanics, observing that God does not play dice. But, in fact, he thought more about the nature of atoms, molecules, and the emission and absorption of light - the core of what we now know as quantum theory - than he did about relativity.
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educational and fun
- By Amjad on 12-04-13
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Bestselling author Leonard Shlain explores the life, art, and mind of Leonardo da Vinci, seeking to explain his singularity by looking at his achievements in art, science, psychology, and military strategy (yes), and then employing state of the art left-right brain scientific research to explain his universal genius. Shlain shows that no other person in human history has excelled in so many different areas as Da Vinci and he peels back the layers to explore the how and the why.
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As distracted as Da Vinci
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In this extensive sequel to Science Education in the Early Roman Empire, Dr. Richard Carrier explores the social history of scientists in the Roman era. Was science in decline or experiencing a revival under the Romans? What was an ancient scientist thought to be and do? Who were they, and who funded their research? And how did pagans differ from their Christian peers in their views toward science and scientists?
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This Book is a Bombshell
- By James on 06-15-18
By: Richard Carrier
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What listeners say about The Golden Ratio
Average customer ratingsReviews - Please select the tabs below to change the source of reviews.
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- steve
- 07-25-24
Excellent book
I read this book to learn a new area and challenge myself. Mission accomplished. The author does a great job explaining everything and while I am by no means a mathematician, I can at least understand what they say
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- David's Opinions and Reviews
- 05-18-13
Φ The Other Cool Number
This was an inspiring listen about phi a name for the golden ratio; I found myself looking up more in-depth information on the web relating to some of the places where phi reveals itself. I haven't thought until now, to look up whether they have a phi day or not, but if not there certainly should be. There isn't much to say here that wouldn't just be spoiling the revelations in this book, other than it was organized well; mostly in chronological order, starting with many of the places speculated to have phi engineered into it, then explaining why many are spurious speculations. All famous mathematicians and other people mentioned are followed by the date of their birth and death. That was an enjoyable tidbit.
About the narrator, I was pretty content with his performance. The few pronunciation errors that were made that I know of are common in other physics books here at audible.com as well. I have now only really fault the reader if it is just annoyingly read, and this was not one of those narrators.
This was an all-around entertaining book. I don't expect more than this when I make purchases here. Not the best, but certainly worth a credit, and the time invested in listening to it. There is no reason not to follow up one of the books here on pi, with this one about the golden ratio.
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3 people found this helpful
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- sally
- 05-10-17
Narrators voice is nails on a chalk board
The content of this book is amazing! The story is perplexing and stirs curiosity! The man narrating has the most irksome voice and doesn't seem to understand the words he's saying.
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4 people found this helpful
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- Errol
- 09-15-16
Interesting insight into the world of mathematics
Where does The Golden Ratio rank among all the audiobooks you’ve listened to so far?
top 40%
Any additional comments?
This book needs a PDF to help in visualizing all the forms that were described.
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6 people found this helpful
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- Stephen B. Spencer
- 03-06-17
Good points, far too many useless figures.
The author did his best to present an unbiased view of all sides of the argument, however, far over explains much of his case which, at times, shows the book down to root canal painfulness.
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1 person found this helpful
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- Rick B
- 01-05-21
The Divine number PHI
I am a big fan of all things Mario Livio. The Golden Ratio is a journey unlike any other I have been on so far. Without a PDF download, I have to admit that I had to get a hard copy to follow along with the extended numbers and processes presented. A quick trip to the library along with reading and listening is well worth the investment of your time. Mario presents not only the history of PHI but you may discover new concepts, like "incommensurability or Phyllotaxis", words that I don't remember learning before this book. Now I have a more educated understanding of PHI in nature and it's relationship especially to the Fibonacci sequence. Mario opens doors that are hidden right in front of our own eyes. Are numbers like Pi & Phi discovered or invented by human thought only, or did they exist before human thought and have we just unveiled them through our search for higher understanding? From the Golden Ratio to the Golden Triangle, to every other geometric form that surrounds us, you may now appreciate shapes and flowers and Galaxy's and the everything you look at in a more profound and amazed way. I especially liked the way Mario delves into the history of Phi and then brings it into "Art and Music". From the beginning of recorded time to our modern day technology, the search continues for these unending irrational numbers that have such a profound and deliberate design to our Universe. I have listened and read through the Golden Ratio multiple times, and each time a new door opens. I also recommend his audio book Galileo and the Science Deniers, Top notch research, science and history from a real scientist.
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2 people found this helpful
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- Billy H
- 07-04-22
Didn't finish.
I made it about 4-5 hours in, but it just wasn't what I was hoping for. A lot in information that I am not interested in, though I do believe the book was well researched. No regrets with my purchase, just not what I was expecting.
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2 people found this helpful
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- Carla Littleton
- 03-22-17
An eloquent history of mathematics
This book is an intriguing look at the development of mathematics physics focused on Phi and the golden ratio
Though complex at points the book is interesting and entertaining enough to keep the reader.engaged and curious.
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- Kindle Customer
- 06-06-20
Very useful information, balanced.
I recommend this book to anyone desiring a good overview of the wonder that is known as the Golden Ratio.
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- Donna
- 07-19-24
An audio book doesn't let you look at the pictures
The math illustrations went by too fast. I couldn't follow along. I will have to get a print or ebook edition.
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