The Equation That Couldn't Be Solved
How Mathematical Genius Discovered the Language of Symmetry
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The Equation That Couldn't Be Solved
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Narrated by:
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Tom Parks
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By:
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Mario Livio
About this listen
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry - known as group theory - did not emerge from the study of symmetry at all, but from an equation that couldn't be solved.
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 great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory.
The first extensive, 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.
©2005 Mario Livio. (P)2017 Brilliance Publishing, Inc., all rights reserved.Listeners also enjoyed...
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-
Story4.5 out of 5 stars 541
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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5 out of 5 stars
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A good overview of scientific theory
- By MJ Walters on 09-11-18
By: Jim Holt
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The Golden Ratio
- The Story of Phi, the World's Most Astonishing Number
- By: Mario Livio
- Narrated by: Mel Foster
- Length: 10 hrs and 13 mins
- Unabridged
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Overall4 out of 5 stars 163
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Performance4 out of 5 stars 137
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Story4 out of 5 stars 137
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. Since then it has shown a propensity to appear in the most astonishing variety of places.
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1 out of 5 stars
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Tedious Listen
- By Amanda Halsdorff on 10-25-14
By: Mario Livio
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A Brief History of Infinity: The Quest to Think the Unthinkable
- Brief Histories
- By: Brian Clegg
- Narrated by: Gordon Griffin
- Length: 9 hrs and 3 mins
- Unabridged
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Overall4.5 out of 5 stars 41
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Performance4.5 out of 5 stars 35
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Story4.5 out of 5 stars 35
Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy.We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a
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3 out of 5 stars
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Really not great in Audio, not great otherwise
- By Michael on 03-29-13
By: Brian Clegg
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Einstein and the Quantum
- The Quest of the Valiant Swabian
- By: A. Douglas Stone
- Narrated by: Gabriel Vaughan
- Length: 11 hrs and 9 mins
- Unabridged
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Overall4.5 out of 5 stars 71
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Performance4.5 out of 5 stars 61
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Story4.5 out of 5 stars 61
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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5 out of 5 stars
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educational and fun
- By Amjad on 12-04-13
By: A. Douglas Stone
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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
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Overall4 out of 5 stars 310
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Performance4.5 out of 5 stars 277
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Story4 out of 5 stars 274
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.
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3 out of 5 stars
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Good treatment of the subject
- By Kindle Customer on 04-09-18
By: David Stipp
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The Infinity Puzzle
- Quantum Field Theory and the Hunt for an Orderly Universe
- By: Frank Close
- Narrated by: Jonathan Cowley
- Length: 12 hrs and 12 mins
- Unabridged
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Overall4 out of 5 stars 121
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Performance4 out of 5 stars 101
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Story4 out of 5 stars 95
The second half of the 20th century witnessed a scientific gold rush as physicists raced to chart the inner workings of the atom. The stakes were high, the questions were big, and there were Nobel Prizes and everlasting glory to be won. Many mysteries of the atom came unraveled, but one remained intractable-what Frank Close calls the "Infinity Puzzle."
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5 out of 5 stars
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Succinct exposition
- By Gary on 06-26-12
By: Frank Close
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Uncertainty
- Einstein, Heisenberg, Bohr, and the Struggle for the Soul of Science
- By: David Lindley
- Narrated by: Robert Blumenfeld
- Length: 7 hrs and 2 mins
- Unabridged
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Overall4 out of 5 stars 371
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Performance4 out of 5 stars 209
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Story4.5 out of 5 stars 210
Werner Heisenberg's "uncertainty principle" challenged centuries of scientific understanding, placed him in direct opposition to Albert Einstein, and put Niels Bohr in the middle of one of the most heated debates in scientific history. Heisenberg's theorem stated that there were physical limits to what we could know about sub-atomic particles; this "uncertainty" would have shocking implications.
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4 out of 5 stars
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fascinating insight into the real drama of physics
- By Ryan on 09-07-10
By: David Lindley
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The Upright Thinkers
- The Human Journey From Living in Trees to Understanding the Cosmos
- By: Leonard Mlodinow
- Narrated by: Leonard Mlodinow
- Length: 12 hrs and 29 mins
- Unabridged
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Overall4.5 out of 5 stars 202
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Performance4.5 out of 5 stars 178
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Story4.5 out of 5 stars 179
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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5 out of 5 stars
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10/10 Got What I Wanted.
- By Austin on 09-22-15
By: Leonard Mlodinow
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What Is Real?
- The Unfinished Quest for the Meaning of Quantum Physics
- By: Adam Becker
- Narrated by: Greg Tremblay
- Length: 11 hrs and 45 mins
- Unabridged
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Overall4.5 out of 5 stars 717
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Performance4.5 out of 5 stars 623
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Story4.5 out of 5 stars 616
Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments.
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5 out of 5 stars
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Good, "light" "read"... potential caveat below...
- By James S. on 03-31-18
By: Adam Becker
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The Story of Western Science
- From the Writings of Aristotle to the Big Bang Theory
- By: Susan Wise Bauer
- Narrated by: Julian Elfer
- Length: 8 hrs and 3 mins
- Unabridged
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Overall4.5 out of 5 stars 292
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Performance4.5 out of 5 stars 249
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Story4.5 out of 5 stars 254
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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4 out of 5 stars
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Good text, tedious book structure
- By Diane K. on 10-07-15
By: Susan Wise Bauer
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The Quantum Story
- A History in 40 Moments
- By: Jim Baggott
- Narrated by: Mike Pollock
- Length: 15 hrs and 27 mins
- Unabridged
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Overall4 out of 5 stars 235
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Performance4 out of 5 stars 174
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Story4 out of 5 stars 174
Utterly beautiful. Profoundly disconcerting. Quantum theory is quite simply the most successful account of the physical universe ever devised. Its concepts underpin much of the 21st-century technology that we now take for granted. But at the same time it has completely undermined our ability to make sense of the world at its most fundamental level.
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1 out of 5 stars
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who's the target reader?
- By Hannah on 09-17-11
By: Jim Baggott
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Spooky Action at a Distance
- The Phenomenon That Reimagines Space and Time-and What It Means for Black Holes, the Big Bang, and Theories of Everything
- By: George Musser
- Narrated by: William Hughes
- Length: 8 hrs and 37 mins
- Unabridged
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Overall4 out of 5 stars 656
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Performance4.5 out of 5 stars 577
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Story4 out of 5 stars 575
What is space? It isn't a question that most of us normally stop to ask. Space is the venue of physics; it's where things exist, where they move and take shape. Yet over the past few decades, physicists have discovered a phenomenon that operates outside the confines of space and time. The phenomenon - the ability of one particle to affect another instantly across the vastness of space - appears to be almost magical.
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2 out of 5 stars
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Rambling but Asks Good Questions
- By Michael on 12-19-15
By: George Musser
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To Explain the World
- The Discovery of Modern Science
- By: Steven Weinberg
- Narrated by: Tom Perkins
- Length: 10 hrs and 43 mins
- Unabridged
-
Overall4 out of 5 stars 261
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Performance4.5 out of 5 stars 220
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Story4 out of 5 stars 218
In this rich, irreverent, and compelling history, Nobel Prize-winning physicist Steven Weinberg takes us across centuries, from ancient Miletus to medieval Baghdad and Oxford, from Plato's Academy and the Museum of Alexandria to the cathedral school of Chartres and the Royal Society of London. He shows that the scientists of ancient and medieval times not only did not understand what we understand about the world--they did not understand what there is to understand or how to understand it.
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4 out of 5 stars
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How the world created a Newton
- By Gary on 03-02-15
By: Steven Weinberg
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Stephen Hawking: His Life and Work
- By: Kitty Ferguson
- Narrated by: Carole Boyd
- Length: 12 hrs and 59 mins
- Unabridged
-
Overall4 out of 5 stars 55
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Performance4.5 out of 5 stars 50
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Story4 out of 5 stars 52
Stephen Hawking is one of the most remarkable figures of our time, a Cambridge genius who has earned international celebrity as a brilliant theoretical physicist and become an inspiration and revelation to those who have witnessed his courageous triumph over disability. This is Hawking's life story by Kitty Ferguson, who has had special help from Hawking himself and his close associates and who has a gift for translating the language of theoretical physics for non-scientists.
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1 out of 5 stars
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Not What it Appears
- By Heizenberg on 04-04-12
By: Kitty Ferguson
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A Beginner’s Guide to Reality
- Exploring Our Everyday Adventures in Wonderland
- By: Jim Baggott
- Narrated by: Victor Bevine
- Length: 9 hrs and 16 mins
- Unabridged
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Overall3.5 out of 5 stars 132
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Performance4 out of 5 stars 102
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Story3.5 out of 5 stars 101
A unique fusion of philosophy and metaphysics set against the backdrop of contemporary culture. Have you ever wondered if the world is really there when you're not looking? We tend to take the reality of our world very much for granted. This book will lead you down the rabbit hole in search of something we can point to, hang our hats on, and say this is real.
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5 out of 5 stars
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A real great listen on the nature of reality
- By Patrick Mabry, Jr. on 07-30-14
By: Jim Baggott
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