Mobile ebook jar download Music by the Numbers: From Pythagoras to Schoenberg
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
Music by the Numbers: From Pythagoras to Schoenberg
Mobile ebook jar download Music by the Numbers: From Pythagoras to Schoenberg
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.
Music by the Numbers: From Pythagoras to Schoenberg by Eli Maor
Music by the Numbers: From Pythagoras to Schoenberg. by Eli Maor. Hardcover, 192 Pages, Published 2018. ISBN-10: 0-691-17690-6 / 0691176906. ISBN-13: 978-0-691-17690-1 / 9780691176901. The description for this book, Music by theNumbers: From Pythagoras to Schoenberg, will be forthcom more »ing. « less
Music Quotes - Here is What Great Philosophers Thought of Music
He was largely influenced by the theories of Pythagoras and his numeric mysticism, inspired by a series of overtones connected to the vibration of a string. “Ordered” music (ie. the one following harmonies) meant ordered souls. “Music is a moral law. It gives soul to the universe, wings to the mind, flight to the imagination,
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Music by the Numbers: From Pythagoras to Schoenberg - Kindle
Editorial Reviews. From the Back Cover. "A fascinating investigation of the relationship between math and music--what they have in common, how they differ, and how each has informed the other, from Pythagoras to Schoenberg, from violin strings to superstrings. A delightful examination of how math and culture interact.
Music by numbers - The Imaginatorium
So in its place he invented a completely new system of music. The blinkered empiricist's eyebrows rise, of course, when it turns out this largely means a return to numerological nonsense. But whereas numerology from Pythagoras to Kepler was a post hoc affair, fitting numbers to music that already existed, Schoenberg
Music by the numbers - CERN Document Server
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 ofSchönberg, and ending with contemporary string theory, Music by the Numbers tells a fascinating story of composers, scientists, inventors, and
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Maor, Eli: Music by the Numbers - From Pythagoras to Schoenberg
Music by the Numbers, szerző: Maor, Eli, Kategória: General, Ár: 6 649 Ft.
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