
The Golden Ratio
The Story of Phi, the World's Most Astonishing Number
Failed to add items
Add to Cart failed.
Add to Wish List failed.
Remove from wishlist failed.
Adding to library failed
Follow podcast failed
Unfollow podcast failed

Get 2 free audiobooks during trial.
Buy for $25.00
No default payment method selected.
We are sorry. We are not allowed to sell this product with the selected payment method
-
Narrated by:
-
Mel Foster
-
By:
-
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.
©2008 Mario Livio (P)2013 Brilliance Audio, Inc.Listeners also enjoyed...
-
Is God a Mathematician?
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 9 hrs and 4 mins
- Unabridged
-
Overall
-
Performance
-
Story
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.
-
-
Origins of Mathematics
- By Rick B on 07-08-21
By: Mario Livio
-
When the Earth Had Two Moons
- Cannibal Planets, Icy Giants, Dirty Comets, Dreadful Orbits, and the Origins of the Night Sky
- By: Erik Asphaug
- Narrated by: Adam Verner
- Length: 9 hrs and 9 mins
- Unabridged
-
Overall
-
Performance
-
Story
In 1959, the Soviet probe Luna 3 took the first photos of the far side of the Moon. Even in their poor resolution, the images stunned scientists: The far side is an enormous mountainous expanse, not the vast lava plains seen from Earth. Subsequent missions have confirmed this in much greater detail. How could this be, and what might it tell us about our own place in the universe? As it turns out, quite a lot. When the Earth Had Two Moons is an astonishing exploration of planet formation and the origins of life by one of the world’s most innovative planetary geologists.
-
-
Poorly written, poorly narrated
- By RickyF on 05-11-23
By: Erik Asphaug
-
How to Read Nature
- An Expert's Guide to Discovering the Outdoors You've Never Noticed
- By: Tristan Gooley
- Narrated by: Qarie Marshall
- Length: 3 hrs and 14 mins
- Unabridged
-
Overall
-
Performance
-
Story
Nobody wakes up in the morning and decides to shut down their senses and stumble through each day in an oblivious bubble, and yet some people end up having much richer experiences than others. In this guidebook, natural navigator Tristan Gooley strives to reawaken our senses to help us understand and deepen our personal experience of nature. His message is to connect - however we can and to whatever draws us in.
-
-
A fool sees not the same tree a wise man sees
- By Mark A Bleakley on 08-07-18
By: Tristan Gooley
-
The Equation That Couldn't Be Solved
- How Mathematical Genius Discovered the Language of Symmetry
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 11 hrs and 45 mins
- Unabridged
-
Overall
-
Performance
-
Story
For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
-
-
Historical Perspective Appreciated
- By Michael Hanrahan on 01-22-20
By: Mario Livio
-
The Triumph of Seeds
- How Grains, Nuts, Kernels, Pulses & Pips Conquered the Plant Kingdom and Shaped Human History
- By: Thor Hanson
- Narrated by: Marc Vietor
- Length: 7 hrs and 30 mins
- Unabridged
-
Overall
-
Performance
-
Story
We live in a world of seeds. From our morning toast to the cotton in our clothes, they are quite literally the stuff and staff of life, supporting diets, economies, and civilizations around the globe. Just as the search for nutmeg and the humble peppercorn drove the Age of Discovery, so did coffee beans help fuel the Enlightenment and cottonseed help spark the Industrial Revolution. And from the fall of Rome to the Arab Spring, the fate of nations continues to hinge on the seeds of a Middle Eastern grass known as wheat.
-
-
Delightfully simplistic!
- By Adrian on 03-30-16
By: Thor Hanson
-
Botticelli's Secret
- The Lost Drawings and the Rediscovery of the Renaissance
- By: Joseph Luzzi
- Narrated by: Keith Szarabajka
- Length: 6 hrs and 54 mins
- Unabridged
-
Overall
-
Performance
-
Story
Some 500 years ago, Sandro Botticelli, a painter of humble origin, created work of unearthly beauty. An intimate associate of Florence’s unofficial rulers, the Medici, he was commissioned by a member of their family to execute a near-impossible project: to illustrate all 100 cantos of The Divine Comedy by the city’s greatest poet, Dante Alighieri. A powerful encounter between poet and artist, sacred and secular, earthly and evanescent, these drawings produced a wealth of stunning images but were never finished.
-
-
Great story
- By Chris M on 12-09-22
By: Joseph Luzzi
-
Is God a Mathematician?
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 9 hrs and 4 mins
- Unabridged
-
Overall
-
Performance
-
Story
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.
-
-
Origins of Mathematics
- By Rick B on 07-08-21
By: Mario Livio
-
When the Earth Had Two Moons
- Cannibal Planets, Icy Giants, Dirty Comets, Dreadful Orbits, and the Origins of the Night Sky
- By: Erik Asphaug
- Narrated by: Adam Verner
- Length: 9 hrs and 9 mins
- Unabridged
-
Overall
-
Performance
-
Story
In 1959, the Soviet probe Luna 3 took the first photos of the far side of the Moon. Even in their poor resolution, the images stunned scientists: The far side is an enormous mountainous expanse, not the vast lava plains seen from Earth. Subsequent missions have confirmed this in much greater detail. How could this be, and what might it tell us about our own place in the universe? As it turns out, quite a lot. When the Earth Had Two Moons is an astonishing exploration of planet formation and the origins of life by one of the world’s most innovative planetary geologists.
-
-
Poorly written, poorly narrated
- By RickyF on 05-11-23
By: Erik Asphaug
-
How to Read Nature
- An Expert's Guide to Discovering the Outdoors You've Never Noticed
- By: Tristan Gooley
- Narrated by: Qarie Marshall
- Length: 3 hrs and 14 mins
- Unabridged
-
Overall
-
Performance
-
Story
Nobody wakes up in the morning and decides to shut down their senses and stumble through each day in an oblivious bubble, and yet some people end up having much richer experiences than others. In this guidebook, natural navigator Tristan Gooley strives to reawaken our senses to help us understand and deepen our personal experience of nature. His message is to connect - however we can and to whatever draws us in.
-
-
A fool sees not the same tree a wise man sees
- By Mark A Bleakley on 08-07-18
By: Tristan Gooley
-
The Equation That Couldn't Be Solved
- How Mathematical Genius Discovered the Language of Symmetry
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 11 hrs and 45 mins
- Unabridged
-
Overall
-
Performance
-
Story
For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
-
-
Historical Perspective Appreciated
- By Michael Hanrahan on 01-22-20
By: Mario Livio
-
The Triumph of Seeds
- How Grains, Nuts, Kernels, Pulses & Pips Conquered the Plant Kingdom and Shaped Human History
- By: Thor Hanson
- Narrated by: Marc Vietor
- Length: 7 hrs and 30 mins
- Unabridged
-
Overall
-
Performance
-
Story
We live in a world of seeds. From our morning toast to the cotton in our clothes, they are quite literally the stuff and staff of life, supporting diets, economies, and civilizations around the globe. Just as the search for nutmeg and the humble peppercorn drove the Age of Discovery, so did coffee beans help fuel the Enlightenment and cottonseed help spark the Industrial Revolution. And from the fall of Rome to the Arab Spring, the fate of nations continues to hinge on the seeds of a Middle Eastern grass known as wheat.
-
-
Delightfully simplistic!
- By Adrian on 03-30-16
By: Thor Hanson
-
Botticelli's Secret
- The Lost Drawings and the Rediscovery of the Renaissance
- By: Joseph Luzzi
- Narrated by: Keith Szarabajka
- Length: 6 hrs and 54 mins
- Unabridged
-
Overall
-
Performance
-
Story
Some 500 years ago, Sandro Botticelli, a painter of humble origin, created work of unearthly beauty. An intimate associate of Florence’s unofficial rulers, the Medici, he was commissioned by a member of their family to execute a near-impossible project: to illustrate all 100 cantos of The Divine Comedy by the city’s greatest poet, Dante Alighieri. A powerful encounter between poet and artist, sacred and secular, earthly and evanescent, these drawings produced a wealth of stunning images but were never finished.
-
-
Great story
- By Chris M on 12-09-22
By: Joseph Luzzi
-
Mozart
- The Reign of Love
- By: Jan Swafford
- Narrated by: Tim Campbell
- Length: 30 hrs and 22 mins
- Unabridged
-
Overall
-
Performance
-
Story
Like Jan Swafford’s biographies Beethoven and Johannes Brahms, Mozart is the complete exhumation of a genius in his life and ours: A man who would enrich the world with his talent for centuries to come and who would immeasurably shape classical music. As Swafford reveals, it’s nearly impossible to understand classical music’s origins and indeed its evolutions, as well as the Baroque period, without studying the man himself.
-
-
Comprehensive Bio
- By Judy on 01-07-21
By: Jan Swafford
-
The Seed Detective
- Uncovering the Secret Histories of Remarkable Vegetables
- By: Adam Alexander, Tim Lang - foreword
- Narrated by: Calum Beaton
- Length: 8 hrs and 30 mins
- Unabridged
-
Overall
-
Performance
-
Story
Have you ever wondered how peas, kale, asparagus, beans, squash, and corn have ended up on our plates? Well, Adam Alexander has. In The Seed Detective, Adam shares his own stories of seed hunting, with the origin stories behind many of our everyday food heroes. Taking us on a journey that began when we left the life of the hunter-gatherer to become farmers, he tells tales of globalization, political intrigue, colonization, and serendipity—describing how these vegetables and their travels have become embedded in our food cultures.
-
-
Fascinating and relevant
- By Valerie Loo on 03-04-23
By: Adam Alexander, and others
-
The Hundred Years War
- The English in France 1337-1453
- By: Desmond Seward
- Narrated by: Nigel Patterson
- Length: 8 hrs and 25 mins
- Unabridged
-
Overall
-
Performance
-
Story
From 1337 to 1453 England repeatedly invaded France on the pretext that her kings had a right to the French throne. Though it was a small, poor country, England for most of those "100 years" won the battles, sacked the towns and castles, and dominated the war. Desmond Seward's critically acclaimed account of the Hundred Years War brings to life all of the intrigue, beauty, and royal to-the-death-fighting of that legendary century-long conflict.
-
-
Superb narrator and fascintating history
- By Julie Seavello on 05-30-21
By: Desmond Seward
-
A History of the Human Brain
- From the Sea Sponge to CRISPR, How Our Brain Evolved
- By: Bret Stetka
- Narrated by: Sean Pratt
- Length: 7 hrs and 54 mins
- Unabridged
-
Overall
-
Performance
-
Story
Just over 125,000 years ago, humanity was going extinct until a dramatic shift occurred—Homo sapiens started tracking the tides in order to eat the nearby oysters. Before long, they’d pulled themselves back from the brink of extinction. The human brain, and its evolutionary journey, is unlike anything else in history. In A History of the Human Brain, Bret Stetka takes listeners through that far-reaching journey. He also tackles the question of where the brain will take us next, exploring the burgeoning concepts of epigenetics and new technologies like CRISPR.
-
-
Fascinating survey of the evolution of the human brain
- By Cosmos on 03-30-21
By: Bret Stetka
-
The Great Air Race
- Death, Glory, and the Dawn of American Aviation
- By: John Lancaster
- Narrated by: Jonathan Todd Ross
- Length: 10 hrs and 46 mins
- Unabridged
-
Overall
-
Performance
-
Story
The incredible, untold story of the men who risked their lives in the first transcontinental air contest—and put American aviation on the map.
-
-
Very entertaining/informative book
- By D. Littman on 12-09-22
By: John Lancaster
-
A Most Elegant Equation
- Euler’s Formula and the Beauty of Mathematics
- By: David Stipp
- Narrated by: Sean Pratt
- Length: 5 hrs and 2 mins
- Unabridged
-
Overall
-
Performance
-
Story
Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.
-
-
Good treatment of the subject
- By Kindle Customer on 04-09-18
By: David Stipp
-
The Twelve Lives of Alfred Hitchcock
- An Anatomy of the Master of Suspense
- By: Edward White
- Narrated by: Qarie Marshall
- Length: 12 hrs and 6 mins
- Unabridged
-
Overall
-
Performance
-
Story
Author Edward White explores the Hitchcock phenomenon - what defines it, how it was invented, what it reveals about the man at its core, and how its legacy continues to shape our cultural world. Illuminating different aspects of Hitchcock's life and work, the book's 12 chapters reveal something fundamental about the man he was and the mythological creature he has become, presenting not just the life Hitchcock lived, but also the various versions of himself that he projected and those projected on his behalf.
-
-
Very Good History of Hitch
- By aaron on 07-31-21
By: Edward White
-
The Joy of x
- A Guided Tour of Math, from One to Infinity
- By: Steven Strogatz
- Narrated by: Jonathan Yen
- Length: 6 hrs and 9 mins
- Unabridged
-
Overall
-
Performance
-
Story
Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.
-
-
Great listen
- By cameron on 08-16-19
By: Steven Strogatz
-
Infinite Powers
- How Calculus Reveals the Secrets of the Universe
- By: Steven Strogatz
- Narrated by: Bob Souer
- Length: 10 hrs and 41 mins
- Unabridged
-
Overall
-
Performance
-
Story
Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.
-
-
Not written to be read aloud
- By A Reader in Maine on 02-21-20
By: Steven Strogatz
-
Reality Is Not What It Seems
- The Journey to Quantum Gravity
- By: Carlo Rovelli, Simon Carnell - translator, Erica Segre - translator
- Narrated by: Roy McMillan
- Length: 6 hrs and 7 mins
- Unabridged
-
Overall
-
Performance
-
Story
From the New York Times best-selling author of Seven Brief Lessons on Physics, The Order of Time, and Helgoland, a closer look at the mind-bending nature of the Universe. What are the elementary ingredients of the world? Do time and space exist? And what exactly is reality? Theoretical physicist Carlo Rovelli has spent his life exploring these questions. He tells us how our understanding of reality has changed over the centuries and how physicists think about the structure of the Universe today.
-
-
Most compelling physics book in at least 10 years!
- By Kyle on 02-03-17
By: Carlo Rovelli, and others
-
What's Gotten into You
- The Story of Your Body's Atoms, from the Big Bang Through Last Night's Dinner
- By: Dan Levitt
- Narrated by: Mike Chamberlain
- Length: 12 hrs and 38 mins
- Unabridged
-
Overall
-
Performance
-
Story
Every one of us contains a billion times more atoms than all the grains of sand in the earth’s deserts. If you weigh 150 pounds, you’ve got enough carbon to make 25 pounds of charcoal, enough salt to fill a saltshaker, enough chlorine to disinfect several backyard swimming pools, and enough iron to forge a 3-inch nail. But how did these elements combine to make us human?
-
-
One of the Very Best Science Books I have Read
- By TStair on 03-20-23
By: Dan Levitt
-
The Structure of Scientific Revolutions
- By: Thomas S. Kuhn
- Narrated by: Dennis Holland
- Length: 10 hrs and 14 mins
- Unabridged
-
Overall
-
Performance
-
Story
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.
-
-
The problem is not with the book
- By Marcus on 08-09-09
By: Thomas S. Kuhn
People who viewed this also viewed...
-
Is God a Mathematician?
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 9 hrs and 4 mins
- Unabridged
-
Overall
-
Performance
-
Story
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.
-
-
Origins of Mathematics
- By Rick B on 07-08-21
By: Mario Livio
-
The Equation That Couldn't Be Solved
- How Mathematical Genius Discovered the Language of Symmetry
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 11 hrs and 45 mins
- Unabridged
-
Overall
-
Performance
-
Story
For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
-
-
Historical Perspective Appreciated
- By Michael Hanrahan on 01-22-20
By: Mario Livio
-
The Geometry of Energy
- How to Meditate
- By: Ethan Indigo Smith
- Narrated by: Virtual Voice
- Length: 4 hrs and 56 mins
- Unabridged
-
Overall
-
Performance
-
Story
The Sacred Geometry of Meditation Geometry focuses on understanding the tangible. Meditation focuses on understanding the intangible. The benefits of understanding the outside world are stupendous, and the benefits of understanding the inside world are limitless. The Geometry of Energy How to Meditate includes numerous meditation instructions and concepts, but focuses on meditation comprehension. The more one comprehends meditation the more one potentially benefits. The Geometry of Energy explores meditation and subtle energy through the four dimensions of geometry. 1.Points 2.Lines 3....
-
-
AI can't read well
- By Denise F on 04-18-25
-
Why?
- What Makes Us Curious
- By: Mario Livio
- Narrated by: Arthur Morey
- Length: 6 hrs and 49 mins
- Unabridged
-
Overall
-
Performance
-
Story
In the ever-fascinating Why? Mario Livio interviewed scientists in several fields to explore the nature of curiosity. He examined the lives of two of history's most curious geniuses, Leonardo da Vinci and Richard Feynman. He also talked to people with boundless curiosity: a superstar rock guitarist who is also an astrophysicist; an astronaut with degrees in computer science, biology, literature, and medicine. What drives these people to be curious about so many subjects?
-
-
Good doce into Curiosity
- By Rodolfo De Nadai on 02-18-18
By: Mario Livio
-
Is Earth Exceptional?
- The Quest for Cosmic Life
- By: Mario Livio PhD, Jack Szostak PhD
- Narrated by: Graham Winton
- Length: 10 hrs and 36 mins
- Unabridged
-
Overall
-
Performance
-
Story
For a long time, scientists have wondered how life has emerged from inanimate chemistry, and whether Earth is the only place where it exists. Charles Darwin speculated about life on Earth beginning in a warm little pond. Some of his contemporaries believed that life existed on Mars. It once seemed inevitable that the truth would be known by now. It is not. For more than a century, the origins and extent of life have remained shrouded in mystery. But, as Mario Livio and Jack Szostak reveal in Is Earth Exceptional?, the veil is finally lifting.
-
-
Authoritative story about origin of life
- By churab on 10-07-24
By: Mario Livio PhD, and others
-
Beyond the Flower of Life
- Advanced MerKaBa Teachings, Sacred Geometry, and the Opening of the Heart
- By: Maureen J. St. Germain
- Narrated by: Maureen J. St. Germain
- Length: 9 hrs and 50 mins
- Unabridged
-
Overall
-
Performance
-
Story
Through teaching merkaba and advanced flower of life workshops to thousands of students around the world since 1995, Maureen J. St. Germain has developed and channeled specific methods to enhance your meditation practice. In this step-by-step guide, she shares tools, techniques, and knowledge to strengthen your heart connection, develop a relationship with your higher self, and elevate and program your merkaba field to manifest success, health, happiness, and higher consciousness.
-
-
This is a SUPPLEMENTAL book!!!
- By Kira Faith on 02-04-22
-
Is God a Mathematician?
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 9 hrs and 4 mins
- Unabridged
-
Overall
-
Performance
-
Story
Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.
-
-
Origins of Mathematics
- By Rick B on 07-08-21
By: Mario Livio
-
The Equation That Couldn't Be Solved
- How Mathematical Genius Discovered the Language of Symmetry
- By: Mario Livio
- Narrated by: Tom Parks
- Length: 11 hrs and 45 mins
- Unabridged
-
Overall
-
Performance
-
Story
For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
-
-
Historical Perspective Appreciated
- By Michael Hanrahan on 01-22-20
By: Mario Livio
-
The Geometry of Energy
- How to Meditate
- By: Ethan Indigo Smith
- Narrated by: Virtual Voice
- Length: 4 hrs and 56 mins
- Unabridged
-
Overall
-
Performance
-
Story
The Sacred Geometry of Meditation Geometry focuses on understanding the tangible. Meditation focuses on understanding the intangible. The benefits of understanding the outside world are stupendous, and the benefits of understanding the inside world are limitless. The Geometry of Energy How to Meditate includes numerous meditation instructions and concepts, but focuses on meditation comprehension. The more one comprehends meditation the more one potentially benefits. The Geometry of Energy explores meditation and subtle energy through the four dimensions of geometry. 1.Points 2.Lines 3....
-
-
AI can't read well
- By Denise F on 04-18-25
-
Why?
- What Makes Us Curious
- By: Mario Livio
- Narrated by: Arthur Morey
- Length: 6 hrs and 49 mins
- Unabridged
-
Overall
-
Performance
-
Story
In the ever-fascinating Why? Mario Livio interviewed scientists in several fields to explore the nature of curiosity. He examined the lives of two of history's most curious geniuses, Leonardo da Vinci and Richard Feynman. He also talked to people with boundless curiosity: a superstar rock guitarist who is also an astrophysicist; an astronaut with degrees in computer science, biology, literature, and medicine. What drives these people to be curious about so many subjects?
-
-
Good doce into Curiosity
- By Rodolfo De Nadai on 02-18-18
By: Mario Livio
-
Is Earth Exceptional?
- The Quest for Cosmic Life
- By: Mario Livio PhD, Jack Szostak PhD
- Narrated by: Graham Winton
- Length: 10 hrs and 36 mins
- Unabridged
-
Overall
-
Performance
-
Story
For a long time, scientists have wondered how life has emerged from inanimate chemistry, and whether Earth is the only place where it exists. Charles Darwin speculated about life on Earth beginning in a warm little pond. Some of his contemporaries believed that life existed on Mars. It once seemed inevitable that the truth would be known by now. It is not. For more than a century, the origins and extent of life have remained shrouded in mystery. But, as Mario Livio and Jack Szostak reveal in Is Earth Exceptional?, the veil is finally lifting.
-
-
Authoritative story about origin of life
- By churab on 10-07-24
By: Mario Livio PhD, and others
-
Beyond the Flower of Life
- Advanced MerKaBa Teachings, Sacred Geometry, and the Opening of the Heart
- By: Maureen J. St. Germain
- Narrated by: Maureen J. St. Germain
- Length: 9 hrs and 50 mins
- Unabridged
-
Overall
-
Performance
-
Story
Through teaching merkaba and advanced flower of life workshops to thousands of students around the world since 1995, Maureen J. St. Germain has developed and channeled specific methods to enhance your meditation practice. In this step-by-step guide, she shares tools, techniques, and knowledge to strengthen your heart connection, develop a relationship with your higher self, and elevate and program your merkaba field to manifest success, health, happiness, and higher consciousness.
-
-
This is a SUPPLEMENTAL book!!!
- By Kira Faith on 02-04-22
Excellent book
Something went wrong. Please try again in a few minutes.
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.
Φ The Other Cool Number
Something went wrong. Please try again in a few minutes.
Narrators voice is nails on a chalk board
Something went wrong. Please try again in a few minutes.
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.Interesting insight into the world of mathematics
Something went wrong. Please try again in a few minutes.
Good points, far too many useless figures.
Something went wrong. Please try again in a few minutes.
The Divine number PHI
Something went wrong. Please try again in a few minutes.
Didn't finish.
Something went wrong. Please try again in a few minutes.
Though complex at points the book is interesting and entertaining enough to keep the reader.engaged and curious.
An eloquent history of mathematics
Something went wrong. Please try again in a few minutes.
An audio book doesn't let you look at the pictures
Something went wrong. Please try again in a few minutes.
Very useful information, balanced.
Something went wrong. Please try again in a few minutes.