[Pdf/ePub] Music by the Numbers: From Pythagoras

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[Pdf/ePub] Music by the Numbers: From Pythagoras

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

Music by the Numbers: From Pythagoras to Schoenberg


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ISBN: 9780691176901 | 176 pages | 5 Mb

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Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor
Publisher: Princeton University Press



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

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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Music by the Numbers: From Pythagoras to Schoenberg [Eli Maor] on Amazon. com. *FREE* shipping on qualifying offers. How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century Music is filled with mathematical elements. Music by the Numbers: From Pythagoras to Schoenberg - Amazon.it
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,  Music by the Numbers: From Pythagoras to Schoenberg: 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,  Music by the Numbers, Eli Maor - Shop Online for Books in Fiji
Fishpond Fiji, Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor. Buy Books online: Music by the Numbers: From Pythagoras to Schoenberg , 2018, ISBN 0691176906, Eli Maor. Music by the Numbers - Title – Rightsdesk Worldwide
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  Pythagoras and the Quadrivium revisited
Type of publication: Phdthesis. Citation: Ore1986. Type: Thesis (D.M.A.). Year: 1986. Pages: 253. School: University of Nebraska. Key (?): Bibliothek : ML410. S2836V3 O73 1986. Keywords: Dissertations. University of Nebraska, Musical analysis, Schönberg Arnold. Variations on a Recitative op. 40 , Symbolism ofnumbers. 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  Music by the Numbers: From Pythagoras to - Amazon.com.au
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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