Mario Livio "The Equation That Couldn't Be Solved: How Mathematical
Genius Discovered the Language of Symmetryr"
Simon & Schuster | 2006-08-22 | ISBN: 0743258215 | 368 pages | PDF |
2,1 MB

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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