Electronic books pdf free download Music by the Numbers: From Pythagoras to Schoenberg 9780691176901 DJVU iBook (English Edition) by Eli Maor

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

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

• 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

Electronic books pdf free download Music by the Numbers: From Pythagoras to Schoenberg 9780691176901 DJVU iBook (English Edition) by Eli Maor

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.

More eBooks:
Free downloads for books online Blended MOBI ePub (English literature) 9781442495005 by Sharon M. Draper
Book downloads for ipod I'm Telling the Truth, but I'm Lying
Amazon ebook store download Character Design Quarterly 13 by 3dtotal Publishing PDF 9781912843039
Book pdf downloader El Guardian De Las Pesadillas 9788426395337 by Alvaro Yarritu
Textbooks free download for dme Eternal Treblinka: Our Treatment of Animals and the Holocaust
French textbook download Mabinogion Tetralogy by Evangeline Walton in English 9781585675043
Free ibooks to download Stand All the Way Up: Stories of Staying In It When You Want to Burn It All Down in English
Free audiobooks for download in mp3 format We Are Lost and Found by Helene Dunbar (English Edition) 9781492681052