美學
Why Beauty Is Truth 豆瓣
作者: Ian Stewart Perseus Books Group 2007 - 4
An eminent teacher and writer explores an idea both simple and complex, both multidisciplinary and unifying--the story of symmetry.
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.
Vorschule der Ästhetik 豆瓣
作者: Gustav Theodor Fechner tredition 2011
2016年3月26日 想读 cardinal measure of utility by difference, as contrast to the von Neumann and Morgenstern approach for cardinal measure and the marginal utility of the end of 19th century for ordinal measure. http://www.glennshafer.com/assets/downloads/review06_utilityAllais.pdf
Gustav_Theodor_Fechner 德國 心理學 歐洲 美學
Aesthetic Measure 豆瓣
作者: George D. Birkhoff Kessinger Publishing 2003 - 1
An attempt to bring the basic formal side of art within the purview of simple mathematical formula defining aesthetic measure. Contents: the basic formula; polygonal forms; ornaments and tilings; vases; diatonic chords; diatonic harmony; melody; musical quality in poetry; earlier aesthetic theories; art and aesthetics. Over 20 plates and illustrations.