[download pdf] Music by the Numbers: From Pythagoras to Schoenberg
Music by the Numbers: From Pythagoras to Schoenberg. Eli Maor
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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
Ebook download for ipad mini Music by the Numbers: From Pythagoras to Schoenberg (English Edition) PDF
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.
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Pythagorean Longings and Cosmic Symphonies: The Musical
Even after World War II, physics re-engaged archaic Pythagorean imagery in the service of new theoretical initiatives; at the same time, electronic and film music created new “sounds of space” that contrasted with the “cosmic sublime” invoked by Beethoven, Stravinsky, and Schoenberg. So far, though, the sonifications of
New Book - Music by the Numbers: From Pythagoras to Schoenberg
Author: Eli Maor Title: Music by the Numbers: From Pythagoras to Schoenberg Publisher: Princeton University Press Publication Date: 5/8/2018. ISBN: 9780691176901 Hardcover (English). Find in WorldCat - Find on Amazon.com
Music by the Numbers : Eli Maor : 9780691176901 - Book Depository
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 ofSchoenberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and eccentrics who
Music by the Numbers: From Pythagoras to Schoenberg eBook: Eli
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,
The Music of the Spheres - The Imaginative Conservative
This idea of “the music of the spheres” runs through the history of Western civilization with an extraordinary consistency, even up to the twentieth century. Like Pythagoras, Schoenberg believed that number was the key to the universe. Unlike Pythagoras, he believed his manipulation of number could alter
Music by the Numbers: From Pythagoras to Schoenberg - H-Net
Citation: H-Net Book Channel. New Book - Music by the Numbers: FromPythagoras to Schoenberg. The H-Net Book Channel. 12-0-. -2017. https:// networks.h-net.org/node/1883/pages/1036404/new-book-music-numbers-pythagoras-schoenberg. Licensed under a Creative Commons
Amazon | Music by the Numbers: From Pythagoras to - アマゾン
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Music by the Numbers: From Pythagoras to Schoenberg eBook: Eli
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,
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