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

Music by the Numbers: From Pythagoras to Schoenberg


Music-by-the-Numbers-From.pdf
ISBN: 9780691176901 | 176 pages | 5 Mb

Download PDF




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


Public domain code book free download Music by the Numbers: From Pythagoras to Schoenberg iBook English version

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.



Links:
Free downloads books pdf format Near Dark: A Thriller by Brad Thor 9781982104061 (English Edition)
Free electronic phone book download The Future of Humanity: Our Destiny in the Universe English version by Michio Kaku FB2 DJVU
Pdf format books free download Rhunken Chronicles: Tongass
Ebooks french download I Got a Monster: The Rise and Fall of America's Most Corrupt Police Squad by Baynard Woods, Brandon Soderberg 9781250221803 (English literature)
Download best selling ebooks free The Shadow Cadets of Pennyroyal Academy 9780399163258 DJVU