Why Beauty Is Truth: The History of Symmetry
Basic Books, 2007 - 304 pagina's
Hidden in the heart of the theory of relativity, quantum mechanics, string theory, and modern cosmology lies one concept: symmetry." "Symmetry has been a key idea for artists, architects and musicians for centuries, but within mathematics it remained, until very recently, an arcane pursuit. In the twentieth century, however, symmetry emerged as central to the most fundamental ideas in physics and cosmology. Why Beauty Is Truth tells its history, from ancient Babylon to twenty-first century physics." "It is a peculiar history, and the mathematicians who contributed to symmetry's ascendancy mirror its fascinating puzzles and dramatic depth. We meet Girolamo Cardano, the Renaissance Italian rogue, scholar, and gambler who stole the modern method of solving cubic equations and published it in the first important book on algebra. We meet Evariste Galois, a young revolutionary who single-handedly refashioned the whole of mathematics by founding the field of group theory - only to die at age nineteen in a duel over a woman before publishing any of his work. Perhaps most curious is William Rowan Hamilton, who carved his most significant discovery into a stone bridge between bouts of alcoholic delirium." "Mathematician Ian Stewart tells the stories of these and other eccentric and occasionally tragic geniuses as he describes how symmetry grew into one of the most important ideas of modern science.
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2 The Household Name 17
3 The Persian Poet 33
4 The Gambling Scholar 45
5 The Cunning Fox 63
6 The Frustrated Doctor and the Sickly Genius 75
7 The Luckless Revolutionary 97
8 The Mediocre Engineer and the Transcendent Professor 125
9 The Drunken Vandal 137
10 The WouldBe Soldier and the Weakly Bookworm 159
Overige edities - Alles weergeven
Abel aether Albert angle atom Babylonian beauty became calculations called Cardano circle complex numbers construction cubic decimal dimensions Dirac discovered discovery Einstein electromagnetic electron Euclid Euclidean exactly exceptional Lie groups exist father Fermat primes field force formula fundamental Galois Galois’s Gamesh Gauss geometry gravity Greek group theory Hamilton Heisenberg idea Killing’s known Lagrange later Lie algebras light look mathe mathematicians mathematics matics Maxwell’s equations method moving multiplication negative numbers Newton Niels normed division algebra number system octonions particles permutations physicists physics Planck plane polygons problem proof proton proved quadratic quantum theory quarks quartic quaternions quintic quintic equation radicals real numbers relativity rotation Ruffini sack simple Lie algebras solution solve space space-time spin square root string theory structure subgroup superstrings supersymmetry symbols symmetry group Tartaglia tells theorem Theory of Everything thing tion transformations triangle trisect turned universe waves Wigner wrote
Pagina v - O Attic shape! Fair attitude! with brede Of marble men and maidens overwrought, With forest branches and the trodden weed; Thou, silent form, dost tease us out of thought As doth eternity: Cold Pastoral! When old age shall this generation waste, Thou shalt remain, in midst of other woe Than ours, a friend to man, to whom thou say'st, "Beauty is truth, truth beauty," — that is all Ye know on earth, and all ye need to know.