000			02595nam a2200313Ia 4500
001			2737
008			230305s2018 xx 000 0 und d
020			_a9780691176901
043			_aen_UK
041			_aeng
245		0	_aMusic by the numbers
260			_a _bPrinceton University Press, _c2018
300			_axvii, 155 pages ; 23 cm
500			_afrom Pythagoras to Schoenberg
520			_aMusic is filled with mathematical elements, the works of Bach are often said to possess a math-like logic, and Igor Stravinsky said "musical form is close to mathematics," while Arnold Schoenberg, Iannis Xenakis, and Karlheinz Stockhausen went further, writing music explicitly based on mathematical principles. Yet Eli Maor argues that music has influenced math at least as much as math has influenced music. Starting with Pythagoras, proceeding through the work of Schoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who played a role in the age-old relationship between music, mathematics, and the sciences, especially physics and astronomy. ; ; Music by the Numbers explores key moments in this history, particularly how problems originating in music have inspired mathematicians for centuries. Perhaps the most famous of these problems is the vibrating string, which pitted some of the greatest mathematicians of the eighteenth century against each other in a debate that lasted more than fifty years and that eventually led to the development of post-calculus mathematics. Other highlights in the book include a comparison between meter in music and metric in geometry, complete with examples of rhythmic patterns from Bach to Stravinsky, and an exploration of a suggestive twentieth-century development: the nearly simultaneous emergence of Einstein's theory of relativity and Schoenberg's twelve-tone system. ; ; Weaving these compelling historical episodes with Maor's personal reflections as a mathematician and lover of classical music, Music by the Numbers will delight anyone who loves mathematics and music.
590			_bIncludes bibliographical references and index.
630			_aML LITERATURE ON MUSIC _93934
650			_aMusic _xMathematics _912039
650			_aMusic _xAcoustics and physics _912040
650			_a _912
700			_aMaor, Eli _eAuthor _912041
902			_a949
905			_am
911			_ahttps://biblioteca.tbs-education.es/portadas/9780691176901.jpg
912			_a2018-01-01
942			_a1
953			_d2020-01-10 18:09:31
999			_c2637 _d2637