Mon premier blog

Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor

• Music by the Numbers: From Pythagoras to Schoenberg
• Eli Maor
• Page: 176
• Format: pdf, ePub, mobi, fb2
• ISBN: 9780691176901
• Publisher: Princeton University Press

Download Music by the Numbers: From Pythagoras to Schoenberg

Free e books and journals download Music by the Numbers: From Pythagoras to Schoenberg CHM (English Edition) 9780691176901

Overview

Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music 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.

Download more ebooks: Read books online free download Technicals: Non-Standard Tactical Vehicles from the Great Toyota War to modern Special Forces read book, Download amazon books android tablet We Need to Weaken the Mixture by Guy Martin 9780753545461 in English here, Descarga libros nuevos gratis en pdf. THE KNIGHT IN RUSTY ARMOR ePub PDB 9780879804213 de ROBERT FISHER read pdf, Downloading free ebooks on iphone Monster High/Ever After High: The Legend of Shadow High link, Free itouch download books Marvel's SPIDER-MAN: Hostile Takeover by David Liss (English literature) 9781785659751 read pdf, Buscar ebooks descargar MIENTRAS HAYA BARES CHM iBook RTF 9788494434068 de JUAN TALLON pdf,