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  • The Equation That Couldn't Be Solved

  • How Mathematical Genius Discovered the Language of Symmetry
  • De : Mario Livio
  • Lu par : Tom Parks
  • Durée : 11 h et 45 min

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    Description

    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.

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    • Global
      5 out of 5 stars
    • Interprétation
      3 out of 5 stars
    • Histoire
      3 out of 5 stars
    Image de profile pour Michael Hanrahan
    • Michael Hanrahan
    • 22/01/2020

    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.

    6 personnes ont trouvé cela utile

    • Global
      4 out of 5 stars
    • Interprétation
      4 out of 5 stars
    • Histoire
      4 out of 5 stars
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    • David
    • 16/01/2019

    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.

    4 personnes ont trouvé cela utile

    • Global
      5 out of 5 stars
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      5 out of 5 stars
    • Histoire
      5 out of 5 stars
    Image de profile pour John Coppolella
    • John Coppolella
    • 13/03/2019

    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.

    3 personnes ont trouvé cela utile

    • Global
      5 out of 5 stars
    • Interprétation
      5 out of 5 stars
    • Histoire
      5 out of 5 stars
    Image de profile pour Mo Rutherford
    • Mo Rutherford
    • 03/02/2021

    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

    2 personnes ont trouvé cela utile

    • Global
      4 out of 5 stars
    • Interprétation
      5 out of 5 stars
    • Histoire
      4 out of 5 stars
    Image de profile pour Michael
    • Michael
    • 16/01/2020

    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.

    2 personnes ont trouvé cela utile

    • Global
      4 out of 5 stars
    • Interprétation
      5 out of 5 stars
    • Histoire
      4 out of 5 stars
    Image de profile pour Jeff
    • Jeff
    • 23/05/2022

    Interesting, Worth the time

    the core of the book is very good. I really enjoyed the discussions of Abel and Galois. Would have been nice to have heard more about Klein and also about how Galois' work eventually became so widely known. the discussion of Relativity, Noether's theorem and symmetry in physics in general is a nice conclusion, and I would have preferred the book end with a retrospective after this rather than drifting into it's final discussions of symmetry

    • Global
      5 out of 5 stars
    • Interprétation
      5 out of 5 stars
    • Histoire
      5 out of 5 stars
    Image de profile pour James S.
    • James S.
    • 13/10/2021

    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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    • Global
      4 out of 5 stars
    • Interprétation
      3 out of 5 stars
    • Histoire
      4 out of 5 stars
    Image de profile pour Kunde
    • Kunde
    • 13/10/2019

    Teilweise als Hörbuch nur bedingt geeignet,...

    ... da diverse Tabelleneinträge vorgelesen werden und der Sprecher sich hier nicht um ausreichende Entschleunigung bemüht. Außerdem kann man Galois' Nachweis der Unlösbarkeit quintischer und höherer Gleichungen mit Radikalen mit diesem Hörbuch nicht wirklich nachvollziehen. Im Übrigen aber ein netter Streifzug durch Anwendungsfelder der Gruppentheorie.

    1 personne a trouvé cela utile

    • Global
      5 out of 5 stars
    • Interprétation
      5 out of 5 stars
    • Histoire
      5 out of 5 stars
    Image de profile pour Amazon Kunde
    • Amazon Kunde
    • 16/04/2022

    History and basics of Group Theory

    Unfortunately, there are very few audiobooks about Group Theory, but this one definitely is a good one worth listening to. The author tells an enjoyable story with lots of real life stories about key protagonists - but putting a clear focus to E. Galois who seemed to have inspired the author’s passion. Nevertheless, the book also presents a concise, but very basic introduction to Group Theory, unfortunately not going deeper into certain Groups which are key to today’s science - Lie groups and finite groups. However, there is a chapter linking Group Theory to the Standard Model and String Theory, but it only scratches the surface. Obviously, the intention was rather on the historical part.
    The speaker has a comforting voice and an optimal speed. Only point is that names and sentences in foreign languages (esp French) are pronounced in a rather American way which might be a bit disturbing for European ears.