(H/B) THE EQUATION THAT COULDN'T BE SOLVED
HOW MATHEMATICAL GENIUS DISCOVERED THE LANGUAGE OF SYMMETRY
LIVIO MARIOΚωδ. Πολιτείας: 3781-0017
Παρουσίαση
What do the music of J. S. Bach, the rubik's cube and sexual attraction have in common? All are characterised by symmetry.Symmetry is the concept that bridges the worlds of art and science, a concept that spans the world of theoretical physics and the everyday world we see around us. Yet the 'language' of symmetry, group theory in mathematics, emerged from the unlikeliest of origins, an equation that couldn't be solved.
Over the millennia, mathematicians had solved progressively more difficult algebraic equations until they came to the quintic equation. It resisted solution for several centuries, until two mathematical prodigies independently discovered that it could not be solved by the usual methods and opened the door to group theory. These young geniuses, a Norwegian named Niels Henrik Abel and the Frenchman, Evariste Galois, would both die tragically. Galois spent the night before his death in a duel (aged only twenty) scribbling another summary of his proof, writing in the margin of his notebook: "I have no time".
The story of the equation that couldn't be solved is a story of brilliant mathematicians, and a fascinating account of how mathematics illuminates a wide variety of disciplines.
This lively, engaging book shows entertainingly and accessibly how group theory can explain the symmetry and order of both the natural and the human-made worlds. (From the publisher)
Περιεχόμενα
PrefaceSymmetry
eyE s'dniM eht ni yrtemmyS
Never forget this in the midst of your equations
The poverty-stricken mathematician
The romantic mathematician
Groups
Symmetry rules
Who's the most symmetrical of them all?
Requiem for a romantic genius
Appendixes
Notes
References
Index
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