The Equation that Couldn't Be Solved
eBook - ePub

The Equation that Couldn't Be Solved

How Mathematical Genius Discovered the Language of Symmetry

  1. 368 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Equation that Couldn't Be Solved

How Mathematical Genius Discovered the Language of Symmetry

About this book

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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Yes, you can access The Equation that Couldn't Be Solved by Mario Livio in PDF and/or ePUB format, as well as other popular books in Mathematik & Mathematik Allgemein. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Colophon
  3. Also by Mario Livio
  4. Title Page
  5. Copyright
  6. Dedication
  7. Contents
  8. Preface
  9. 1. Symmetry
  10. 2. eyE s’dniM eht ni yrtemmyS
  11. 3. Never Forget This in the Midst of Your Equations
  12. 4. The Poverty-Stricken Mathematician
  13. 5. The Romantic Mathematician
  14. 6. Groups
  15. 7. Symmetry Rules
  16. 8. Who’s the Most Symmetrical of Them All?
  17. 9. Requiem for a Romantic Genius
  18. Appendix 1. Card Puzzle
  19. Appendix 2. Solving a System of Two Linear Equations
  20. Appendix 3. Diophantus’s Solution
  21. Appendix 4. A Diophantine Equation
  22. Appendix 5. Tartaglia’s Verses and Formula
  23. Appendix 6. Adriaan van Roomen’s Challenge
  24. Appendix 7. Properties of the Roots of Quadratic Equations
  25. Appendix 8. The Galois Family Tree
  26. Appendix 9. The 14–15 Puzzle
  27. Appendix 10. Solution to the Matches Problem
  28. Notes
  29. References
  30. Credits
  31. Index