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| 049 | _aMAIN | ||
| 100 | 1 |
_aMaor, Eli, _eauthor. _965075 |
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| 245 | 1 | 0 |
_aMusic by the numbers : _bfrom Pythagoras to Schoenberg / _cEli Maor. |
| 264 | 1 |
_aPrinceton : _bPrinceton University Press, _c[2018] |
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| 264 | 4 | _c�2018 | |
| 300 | _a1 online resource | ||
| 336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 588 | 0 | _aOnline resource; title from PDF title page (EBSCO, viewed December 27, 2018) | |
| 504 | _aIncludes bibliographical references and index. | ||
| 520 | _aHow music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth centuryMusic 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 | ||
| 505 | 0 | _aPrologue: A World in Crisis -- String Theory, 500 BCE -- SIDEBAR A. It's All about Nomenclature -- Enlightenment -- The Great String Debate, 1730-1780 -- SIDEBAR B. The Slinky -- A Most Precious Gift -- Musical Temperament -- SIDEBAR C. Music for the Record Books: The Lowest, the Longest, the Oldest, and the Weirdest -- Musical Gadgets: The Tuning Fork and the Metronome -- Rhythm, Meter, and Metric -- Frames of Reference: Where Am I? -- SIDEBAR D. Musical Hierarchies -- Relativistic Music -- Aftermath -- SIDEBAR E. The Bernoulli -- The Last Pythagoreans. | |
| 590 |
_aIEEE _bIEEE Xplore Princeton University Press eBooks Library |
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| 650 | 0 |
_aMusic _xMathematics. _965076 |
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_aMusic _xAcoustics and physics. _965077 |
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_aMusique _xMath�ematiques. _965078 |
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| 650 | 6 |
_aMusique _xAcoustique et physique. _965079 |
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| 650 | 7 |
_aMUSIC _xInstruction & Study _xTheory. _2bisacsh _922265 |
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| 650 | 7 |
_aMATHEMATICS _xGeneral. _2bisacsh _94635 |
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| 650 | 7 |
_aMusic _xAcoustics and physics. _2fast _0(OCoLC)fst01030272 _965077 |
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| 650 | 7 |
_aMusic _xMathematics. _2fast _0(OCoLC)fst01030393 _965076 |
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_aElectronic books. _93294 |
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_iPrint version: _aMaor, Eli. _tMusic by the numbers. _dPrinceton : Princeton University Press, [2018] _w(DLC) 2017031417 |
| 856 | 4 | 0 | _uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9453279 |
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