The Equation that Couldn t Be Solved

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 ...

The Equation that Couldn t Be Solved

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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The Equation that Couldn't Be Solved
Language: en
Pages: 368
Authors: Mario Livio
Categories: Mathematics
Type: BOOK - Published: 2005-09-19 - Publisher: Simon and Schuster

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
Ngôn ngữ của đối xứng
Language: vi
Pages: 420
Authors: Mario Livio
Categories: Diophantine analysis
Type: BOOK - Published: 2013 - Publisher:

Books about Ngôn ngữ của đối xứng
Duel at Dawn
Language: en
Pages: 307
Authors: Amir Alexander
Categories: History
Type: BOOK - Published: 2011-10-15 - Publisher: Harvard University Press

Alexander shows how popular stories about mathematicians are really morality tales about their craft as it relates to the world. In the eighteenth century, he says, mathematicians were idealized as child-like, eternally curious; by the nineteenth century, brilliant mathematicians became Romantic heroes like poets, artists, and musicians.
The Equation that Couldn't Be Solved
Language: en
Pages:
Authors: Amir Alexander
Categories: History
Type: BOOK - Published: 2006 - Publisher:

For thousands of years, mathematicians solved progressively more difficult algebraic equations, from the simple quadractic to the more complex quartic equation, yielding important insights along the way. Then they were stumped by the quintic equation, which resisted solutions for three centuries, until two great prodigies independently proved that quaintic equations
Is God a Mathematician?
Language: en
Pages: 308
Authors: Mario Livio
Categories: Mathematics
Type: BOOK - Published: 2009-01-06 - Publisher: Simon and Schuster

This fascinating exploration of the great discoveries of history's most important mathematicians seeks an answer to the eternal question: Does mathematics hold the key to understanding the mysteries of the physical world? Illustrations throughout.