Why Beauty Is Truth: The History of SymmetryBasic Books, 2 d’ag. 2007 - 304 pàgines At the heart of relativity theory, quantum mechanics, string theory, and much of modern cosmology lies one concept: symmetry. In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered "Lie groups" with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the "octonionic" symmetries that may explain the very existence of the universe. |
Continguts
1 | |
2 The Household Name 17 | 17 |
3 The Persian Poet 33 | 33 |
4 The Gambling Scholar 45 | 45 |
5 The Cunning Fox 63 | 63 |
6 The Frustrated Doctor and the Sickly Genius 75 | 75 |
7 The Luckless Revolutionary 97 | 97 |
8 The Mediocre Engineer and the Transcendent Professor 125 | 125 |
11 The Clerk from the Patent Office 173 | 173 |
12 A Quantum Quintet 199 | 199 |
13 The FiveDimensional Man 221 | 221 |
14 The Political Journalist 243 | 243 |
15 A Muddle of Mathematicians 259 | 259 |
16 Seekers after Truth and Beauty 275 | 275 |
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Altres edicions - Mostra-ho tot
Frases i termes més freqüents
Abel aether Albert angle atom Babylonian beauty became calculations called Cardano circle complex numbers construction cube root cubic decimal dimensions discovered discovery Einstein electromagnetic electron equations Euclid Euclidean Évariste Galois 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 method moving multiplication negative numbers Newton Niels normed division algebra number system octonions particles permutations physicists physics 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
Passatges populars
Pàgina 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.
Referències a aquest llibre
Homers Heimat: der Kampf um Troia und seine realen Hintergründe Raoul Schrott Visualització de fragments - 2008 |