The equation that couldn't be solved: how mathematical genius discovered the language of symmetry

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Publisher:
Simon & Schuster,
Pub. Date:
2005.
Language:
English
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.
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ISBN:
9780743258203
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Grouped Work ID86d82ca6-e29b-9de5-bca0-1151e18a6348
Grouping Titleequation that couldn t be solved how mathematical genius discovered the language of symmetry
Grouping Authorlivio mario
Grouping Categorybook
Last Grouping Update2019-09-29 04:52:47AM
Last Indexed2019-10-20 04:50:34AM

Solr Details

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authorLivio, Mario, 1945-
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display_descriptionWhat do the music of J.S. Bach, the basic forces of nature, Rubik's Cube, and the selection of mates have in common? They are all characterized by certain symmetries. Symmetry is the concept that bridges the gap between science and art, between the world of theoretical physics and the everyday world we see around us. Yet the "language" of symmetry, group theory in mathematics, emerged from a most unlikely source: an equation that couldn't be solved.
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record_details
Bib IdFormatFormat CategoryEditionLanguagePublisherPublication DatePhysical Description
ils:.b13285063BookBooksEnglishSimon & Schuster, 2005.x, 353 pages :^bill. ;^c ; 24.
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subject_facetDiophantine analysis -- History
Galois theory -- History
Group theory -- History
Symmetric functions -- History
Symmetry (Mathematics) -- History
title_displayThe equation that couldn't be solved : how mathematical genius discovered the language of symmetry
title_fullThe equation that couldn't be solved : how mathematical genius discovered the language of symmetry / Mario Livio
title_shortThe equation that couldn't be solved
title_subhow mathematical genius discovered the language of symmetry