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The Equation That Couldn't Be Solved
- How Mathematical Genius Discovered the Language of Symmetry
- Narrado por: Tom Parks
- Duración: 11 h y 45 m
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Resumen del Editor
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.
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A Most Elegant Equation
- Euler’s Formula and the Beauty of Mathematics
- De: David Stipp
- Narrado por: Sean Pratt
- Duración: 5 h y 2 m
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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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Good treatment of the subject
- De Kindle Customer en 04-09-18
De: David Stipp
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The Golden Ratio
- The Story of Phi, the World's Most Astonishing Number
- De: Mario Livio
- Narrado por: Mel Foster
- Duración: 10 h y 13 m
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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
- De Amanda Halsdorff en 10-25-14
De: Mario Livio
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Math Without Numbers
- De: Milo Beckman
- Narrado por: Soneela Nankani
- Duración: 3 h y 53 m
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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
- De david malaguti en 09-23-23
De: Milo Beckman
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Is God a Mathematician?
- De: Mario Livio
- Narrado por: Tom Parks
- Duración: 9 h y 4 m
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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.
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Origins of Mathematics
- De Rick B en 07-08-21
De: Mario Livio
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Once upon a Prime
- The Wondrous Connections Between Mathematics and Literature
- De: Sarah Hart
- Narrado por: Sarah Hart
- Duración: 8 h y 51 m
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We often think of mathematics and literature as polar opposites. But what if, instead, they were fundamentally linked? In her clear, insightful, laugh-out-loud funny debut, Once Upon a Prime, Professor Sarah Hart shows us the myriad connections between math and literature, and how understanding those connections can enhance our enjoyment of both. As the first woman to hold England’s oldest mathematical chair, Professor Hart is the ideal tour guide, taking us on an unforgettable journey through the books we thought we knew, revealing new layers of beauty and wonder.
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The Infinite Review
- De LCorSMT en 04-26-23
De: Sarah Hart
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Infinite Powers
- How Calculus Reveals the Secrets of the Universe
- De: Steven Strogatz
- Narrado por: Bob Souer
- Duración: 10 h y 41 m
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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.
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Not written to be read aloud
- De A Reader in Maine en 02-21-20
De: Steven Strogatz
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A Most Elegant Equation
- Euler’s Formula and the Beauty of Mathematics
- De: David Stipp
- Narrado por: Sean Pratt
- Duración: 5 h y 2 m
- Versión completa
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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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Good treatment of the subject
- De Kindle Customer en 04-09-18
De: David Stipp
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Euclid's Window
- The Story of Geometry from Parallel Lines to Hyperspace
- De: Leonard Mlodinow
- Narrado por: Robert Blumenfeld
- Duración: 8 h y 13 m
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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!
- De Eric en 08-13-10
De: Leonard Mlodinow
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The Strangest Man
- The Hidden Life of Paul Dirac, Mystic of the Atom
- De: Graham Farmelo
- Narrado por: B. J. Harrison
- Duración: 19 h y 28 m
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Paul Dirac was among the great scientific geniuses of the modern age. One of the discoverers of quantum mechanics, the most revolutionary theory of the past century, his contributions had a unique insight, eloquence, clarity, and mathematical power. His prediction of antimatter was one of the greatest triumphs in the history of physics.
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Excellent biography of great physicist
- De Eileen en 05-09-13
De: Graham Farmelo
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The Joy of x
- A Guided Tour of Math, from One to Infinity
- De: Steven Strogatz
- Narrado por: Jonathan Yen
- Duración: 6 h y 9 m
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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
- De cameron en 08-16-19
De: Steven Strogatz
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Incompleteness
- The Proof and Paradox of Kurt Gödel
- De: Rebecca Goldstein
- Narrado por: Tom Perkins
- Duración: 8 h y 6 m
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Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.
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In depth explanation of a profound theorem and its relationship with greatest thinkers
- De Bill en 02-29-24
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The Prime Number Conspiracy
- The Biggest Ideas in Math from Quanta
- De: Thomas Lin - editor, James Gleick - foreword
- Narrado por: Bob Souer
- Duración: 10 h
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These stories from Quanta Magazine map the routes of mathematical exploration, showing listeners how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. Listeners of The Prime Number Conspiracy are headed on "breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge," says Quanta editor-in-chief Thomas Lin.
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Better [more relevant] than you might expect.
- De James S. en 09-30-19
De: Thomas Lin - editor, y otros
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Mathematics
- A Very Short Introduction
- De: Timothy Gowers
- Narrado por: Craig Jessen
- Duración: 5 h y 21 m
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The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.
De: Timothy Gowers
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Shape
- The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else
- De: Jordan Ellenberg
- Narrado por: Jordan Ellenberg
- Duración: 14 h y 23 m
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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
- De Fred271 en 06-21-21
De: Jordan Ellenberg
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The Universe Speaks in Numbers
- How Modern Math Reveals Nature's Deepest Secrets
- De: Graham Farmelo
- Narrado por: Hugh Kermode
- Duración: 8 h y 38 m
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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...
- De James S. en 05-31-19
De: Graham Farmelo
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Significant Figures
- The Lives and Work of Great Mathematicians
- De: Ian Stewart
- Narrado por: Roger Clark
- Duración: 11 h y 39 m
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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
- De Anton Kurtz en 12-08-18
De: Ian Stewart
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When Einstein Walked with Gödel
- Excursions to the Edge of Thought
- De: Jim Holt
- Narrado por: David Stifel
- Duración: 15 h y 19 m
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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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A good overview of scientific theory
- De MJ Walters en 09-11-18
De: Jim Holt
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The Last Man Who Knew Everything
- The Life and Times of Enrico Fermi, Father of the Nuclear Age
- De: David N. Schwartz
- Narrado por: Tristan Morris
- Duración: 15 h y 31 m
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In 1942, a team at the University of Chicago achieved what no one had before: a nuclear chain reaction. At the forefront of this breakthrough stood Enrico Fermi. Straddling the ages of classical physics and quantum mechanics, equally at ease with theory and experiment, Fermi truly was the last man who knew everything - at least about physics. But he was also a complex figure who was a part of both the Italian Fascist Party and the Manhattan Project, and a less-than-ideal father and husband who nevertheless remained one of history's greatest mentors.
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Excellent
- De Peter Ryers en 01-16-18
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Brilliant Blunders
- From Darwin to Einstein - Colossal Mistakes by Great Scientists That Changed Our Understanding of Life and the Universe
- De: Mario Livio
- Narrado por: Jeff Cummings
- Duración: 9 h y 43 m
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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
- De Gary en 06-15-13
De: Mario Livio
Lo que los oyentes dicen sobre The Equation That Couldn't Be Solved
Calificaciones medias de los clientesReseñas - Selecciona las pestañas a continuación para cambiar el origen de las reseñas.
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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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- 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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- 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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- 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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- 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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