
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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- Unabridged
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"The Accelerating Universe is not only an informative book about modern cosmology. It is rich storytelling and, above all, a celebration of the human mind in its quest for beauty in all things." (Alan Lightman, author of Einstein's Dreams)
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well written but not well argued
- By Seth K on 07-28-18
By: Mario Livio
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The Universe Speaks in Numbers
- How Modern Math Reveals Nature's Deepest Secrets
- By: Graham Farmelo
- Narrated by: Hugh Kermode
- Length: 8 hrs and 38 mins
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One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern mathematics.
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Great story and narration, but lacks rigor...
- By James S. on 05-31-19
By: Graham Farmelo
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Measurement
- By: Paul Lockhart
- Narrated by: Kyle Tait
- Length: 9 hrs and 17 mins
- Unabridged
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For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K-12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here, Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.
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Wonderfully written!
- By Emelie Reuterswärd on 02-27-20
By: Paul Lockhart
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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
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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.
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Fascinating survey of the evolution of the human brain
- By Cosmos on 03-30-21
By: Bret Stetka
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Significant Figures
- The Lives and Work of Great Mathematicians
- By: Ian Stewart
- Narrated by: Roger Clark
- Length: 11 hrs and 39 mins
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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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Why?
- What Makes Us Curious
- By: Mario Livio
- Narrated by: Arthur Morey
- Length: 6 hrs and 49 mins
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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?
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Good doce into Curiosity
- By Rodolfo De Nadai on 02-18-18
By: Mario Livio
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An Introduction to Information Theory
- Symbols, Signals and Noise
- By: John R. Pierce
- Narrated by: Kyle Tait
- Length: 10 hrs and 12 mins
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Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter. Even more revolutionary progress is expected in the future.
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Not bad, but...
- By Jane Doe on 06-26-20
By: John R. Pierce
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Euclid's Window
- The Story of Geometry from Parallel Lines to Hyperspace
- By: Leonard Mlodinow
- Narrated by: Robert Blumenfeld
- Length: 8 hrs and 13 mins
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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!
- By Eric on 08-13-10
By: Leonard Mlodinow
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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
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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.
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Great listen
- By cameron on 08-16-19
By: Steven Strogatz
The last few chapters then wander off a bit..and a bit hard to follow by ear.
enjoyable..but all over the place
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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.
Wonderful book on a variety of topics
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Does not translate over to audio very well
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Enlightening geniuses found here
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Riveting
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Historical Perspective Appreciated
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Sad stories, complex math, good read
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4/5
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Great
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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.
One bad chapter, otherwise deeply worthwhile
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