The Equation That Couldn't Be Solved
How Mathematical Genius Discovered the Language of Symmetry
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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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- Narrated by: Jonathan Cowley
- Length: 12 hrs and 12 mins
- Unabridged
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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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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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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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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
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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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What Is Real?
- The Unfinished Quest for the Meaning of Quantum Physics
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- Narrated by: Greg Tremblay
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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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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
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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
- 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
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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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who's the target reader?
- By Hannah on 09-17-11
By: Jim Baggott
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Spooky Action at a Distance
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- By: George Musser
- Narrated by: William Hughes
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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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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
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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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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
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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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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
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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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A real great listen on the nature of reality
- By Patrick Mabry, Jr. on 07-30-14
By: Jim Baggott
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The Infinite Review
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Galileo
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Galileo through the mind of Mario Livio
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We all make mistakes. Nobody’s perfect. Not even some of the greatest geniuses in history, as Mario Livio tells us in this marvelous story of scientific error and breakthrough. Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein were all brilliant scientists. Each made groundbreaking contributions to his field - but each also stumbled badly. These five scientists expanded our knowledge of life on Earth, the evolution of the Earth itself, and the evolution of the universe, despite and because of their errors. As Mario Livio luminously explains, the scientific process advances through error.
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Easy to remember all the stories in the book
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What listeners say about The Equation That Couldn't Be Solved
Average customer ratingsReviews - Please select the tabs below to change the source of reviews.
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- Mo Rutherford
- 02-03-21
Does not translate over to audio very well
An excellent book. However this is one that should be red with a pencil paper in hand and therefore does not translate over to audio very well
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2 people found this helpful
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- david malaguti
- 02-25-23
enjoyable..but all over the place
well worth the listen.A little bit undisciplined, though. The first two chapters are throwaways, imho. But the actual stories of the Italian algebraists, then of Abel and Galois, are compelling.
The last few chapters then wander off a bit..and a bit hard to follow by ear.
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- Dmitry Rubinstein
- 04-15-24
Wonderful book on a variety of topics
Allow me to start by expression frustration with Audible's arbitrary limitation of 50 characters for the review headline. Can't for all that is sacred express my intent in that many characters.
Ok, now to the book. It's a wonderful book, exploring the variety of topics. The 3 main themes of the book are the polynomic equations of a single variable and the history of attempts to solve them, the group theory, and symmetry. Those who are not familiar with these topics at least a superficial familiarity, or are not at least extremely curious about them, are likely not to enjoy the book very much, although it's full of entertaining anecdotes and creative metaphors. They are likely to get bogged down in the mathematical parts. Those who are somewhat familiar will enjoy learning in depth the history of the mathematical and physical ideas they are accustomed to, including the lives of people who gave names to all these tools and ideas. All the people whose names fly around during the calculus and algebra lectures come to life in this book.
That's as far as the content of the book is concerned. I do question the decision to release the book in the audio format, as is. First, it's pretty old - published in 2005, yet the audio version was released in 2018 with seemingly zero alterations. The Large Hadron Collider, launched in 2010, so 8 years before the audio version was published, is mentioned as a planned event. Second, the mathematical bits, when read aloud, are simply unintelligible. I do know some group theory, so I just phased out while the narrator read the various multiplication tables row after row, in a monotonous tone, but for those who are not familiar with these topics - good luck to you, you're going to need it. Clearly, a more imaginative approach to transferring the content into the audio format was called for, but it seems the author was not involved in the process, so it didn't happen. The narrator is doing as good a job as can be done, except mispronouncing some of the names (such as that of Henri Poincaré), but the result is useless. Which is a pity since the story parts are excellent.
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- John Coppolella
- 03-13-19
Enlightening geniuses found here
I am so excited inspired by your book. Thank you for introducing and enlightening me on these wonderful people buried in the sands of time.
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3 people found this helpful
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- Anonymous User
- 01-12-23
Riveting
Fascinating stories of some of the greatest minds to have ever lived. The book is written for everyone, not just for those who are mathematically inclined.
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- Michael Hanrahan
- 01-22-20
Historical Perspective Appreciated
I was very enrapt in the history and personal perspective of this book, as well as the detailed explanation of group theory and how it evolved. Thanks for a wonderful 12 hours of listening.
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6 people found this helpful
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- David
- 01-16-19
Sad stories, complex math, good read
I needed to get a copy of the book to see some of the patterns made by tables. but really neat book if you are comfortable with some hard ideas in math.
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4 people found this helpful
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- Michael
- 01-16-20
4/5
I enjoyed most of this, and struggled through some of the technical parts. I liked the stuff about symmetry, and the history. I still don't really understand what group theory actually is. Perhaps that's my fault, not the book's. The narrator was excellent.
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- JM Calmer
- 05-25-23
Great
This is an interesting historical story. It’s informative and entertaining. This is a book to learn and enjoy
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- James S.
- 10-13-21
One bad chapter, otherwise deeply worthwhile
If you've been searching for a somewhat mathematically rigorous book on the history and science of group theory, this is the best option I've come across so far.
The audible was almost ruined by the verbatim narration of permutation tables during a large part of one chapter. If the narrators of these types of books were to ever be allowed - or motivated - to avoid verbatim narrations like this, for sections that could otherwise be summarily explained in a way that got the point across to the listener, audiobooks could catch on in rigorous science and engineering disciplines.
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1 person found this helpful