
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: Roger Clark
- Length: 11 hrs and 39 mins
- Unabridged
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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 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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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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Tedious Listen
- By Amanda Halsdorff on 10-25-14
By: Mario Livio
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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
- Unabridged
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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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Infinitesimal
- How a Dangerous Mathematical Theory Shaped the Modern World
- By: Amir Alexander
- Narrated by: Ira Rosenberg
- Length: 12 hrs and 15 mins
- Unabridged
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On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules.
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An intriguing and underappreciated bit of history
- By Marino on 09-22-14
By: Amir Alexander
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Mathematica
- A Secret World of Intuition and Curiosity
- By: David Bessis, Kevin Frey - translator
- Narrated by: Mike Lenz
- Length: 9 hrs and 12 mins
- Unabridged
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Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.
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Great General Creativity Guide (w' math as a lens)
- By V. Bandy on 07-19-24
By: David Bessis, and others
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Math Without Numbers
- By: Milo Beckman
- Narrated by: Soneela Nankani
- Length: 3 hrs and 53 mins
- Unabridged
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This is an audiobook about math, but it contains no numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math - topology, analysis, and algebra - which turn out to be surprisingly easy to grasp. This audiobook upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. Join this freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject.
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please leave your politics at home
- By david malaguti on 09-23-23
By: Milo Beckman
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Love and Math
- The Heart of Hidden Reality
- By: Edward Frenkel
- Narrated by: Mike Lenz
- Length: 10 hrs and 7 mins
- Unabridged
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In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.
By: Edward Frenkel
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Shape
- The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else
- By: Jordan Ellenberg
- Narrated by: Jordan Ellenberg
- Length: 14 hrs and 23 mins
- Unabridged
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If you're like most people, geometry is a dimly remembered exercise you gladly left behind in the dust of ninth grade. It's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face.
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Excellent, but not suited for an audiobook
- By Nemo71 on 06-21-21
By: Jordan Ellenberg
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Why Machines Learn
- The Elegant Math Behind Modern AI
- By: Anil Ananthaswamy
- Narrated by: Rene Ruiz
- Length: 13 hrs and 30 mins
- Unabridged
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We are living through a revolution in machine learning-powered AI that shows no signs of slowing down. This technology is based on relatively simple mathematical ideas, some of which go back centuries, including linear algebra and calculus, the stuff of seventeenth- and eighteenth-century mathematics. It took the birth and advancement of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see today. In this enlightening book, Anil Ananthaswamy explains the fundamental math behind machine learning.
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A great listen, but a physical book is pre appropriate
- By Sameer D. on 11-07-24
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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