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001 978-3-031-34440-4
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020 _a9783031344404
_9978-3-031-34440-4
024 7 _a10.1007/978-3-031-34440-4
_2doi
050 4 _aT57-57.97
050 4 _aML1-3930
072 7 _aPBW
_2bicssc
072 7 _aAVA
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
072 7 _aAVA
_2thema
082 0 4 _a780.0519
_223
100 1 _aPortnoy, Arturo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_984919
245 1 4 _aThe Mathematics of Music and Art
_h[electronic resource] /
_cby Arturo Portnoy.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aXXIV, 129 p. 65 illus., 45 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aPreliminaries -- The pigeonhole principle -- Continued fractions -- Pythagoras and music -- Temperaments of the scale -- Patterns in music -- Analysis and synthesis of music -- Beats, resonance, and tuning -- Digital music and information -- Last thoughts.
520 _aThis book explores the relationships between music, the sciences, and mathematics, both ancient and modern, with a focus on the big picture for a general audience as opposed to delving into very technical details. The language of music is deciphered through the language of mathematics. Readers are shown how apparently unrelated areas of knowledge complement each other and in fact propel each other's advancement. The presentation as well as the collection of topics covered throughout is unique and serves to encourage exploration and also, very concretely, illustrates the cross- and multidisciplinary nature of knowledge. Inspired by an introductory, multidisciplinary course, the author explores the relationships between the arts, sciences, and mathematics in the realm of music. The book has no prerequisites; rather it aims to give a broad overview and achieve the integration of the three presented themes. Mathematical tools are introduced and used to explain various aspects of music theory, and the author illustrates how, without mathematics, music could not have been developed. In addition, this book: Discuses the relationships between the arts, sciences, and mathematics in the realm of music Explores the language of music as deciphered through the language of mathematics Shows readers how apparently unrelated areas of knowledge complement each other and propel each other's advancement.
650 0 _aMusic
_xMathematics.
_965076
650 0 _aMathematics.
_911584
650 0 _aSocial sciences.
_931911
650 1 4 _aMathematics in Music.
_934642
650 2 4 _aMathematics in Popular Science.
_984922
650 2 4 _aMathematics in the Humanities and Social Sciences.
_933294
710 2 _aSpringerLink (Online service)
_984927
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031344398
776 0 8 _iPrinted edition:
_z9783031344411
776 0 8 _iPrinted edition:
_z9783031344428
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_984928
856 4 0 _uhttps://doi.org/10.1007/978-3-031-34440-4
912 _aZDB-2-SXSC
942 _cEBK
999 _c85743
_d85743