Music: A Mathematical Offering

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9780521619998: Music: A Mathematical Offering

Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between.

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Recensione:

'… informative and well-written … Not only does this book cover basic material thoroughly, it also presents much of interest to those already familiar with the area of math and music. And the author provides a wealth of citations to the often scattered literature on the subject.' Zentralblatt MATH

'… an excellent introduction to the interdisciplinary subject of music and mathematics (which also involves physics, biology, psycho-acoustics, and the history of science and digital technology). The book can easily be used as the text for undergraduate courses.' The Mathematical Intelligencer

Descrizione del libro:

Benson provides a wealth of information for the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the interplay between two ancient disciplines. A must-have book if you want to know about the music of the spheres or digital music and much in between.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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D. J. Benson
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2007)
ISBN 10: 0521619998 ISBN 13: 9780521619998
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Paperback. Condizione libro: New. 246 x 172 mm. Language: English . Brand New Book. Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between. Codice libro della libreria AAZ9780521619998

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D. J. Benson
Editore: Cambridge University Press 2006-11-23, Cambridge (2006)
ISBN 10: 0521619998 ISBN 13: 9780521619998
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Descrizione libro Cambridge University Press 2006-11-23, Cambridge, 2006. paperback. Condizione libro: New. Codice libro della libreria 9780521619998

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D. J. Benson
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2007)
ISBN 10: 0521619998 ISBN 13: 9780521619998
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Paperback. Condizione libro: New. 246 x 172 mm. Language: English . Brand New Book. Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between. Codice libro della libreria AAZ9780521619998

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Benson, Dave
Editore: Cambridge University Press (2006)
ISBN 10: 0521619998 ISBN 13: 9780521619998
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Descrizione libro Cambridge University Press, 2006. Condizione libro: New. 2006. 1st Edition. Paperback. This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound. Num Pages: 426 pages, 263 b/w illus. 17 colour illus. BIC Classification: AV; PB. Category: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 246 x 173 x 20. Weight in Grams: 766. 426 pages, 263 b/w illus. 17 colour illus. Explores interaction between music and mathematics including harmony, symmetry, digital music and perception of sound. Cateogry: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: AV; PB. Dimension: 246 x 173 x 20. Weight: 854. . . . . . . Codice libro della libreria V9780521619998

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ISBN 10: 0521619998 ISBN 13: 9780521619998
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Descrizione libro Cambridge University Press, 2006. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780521619998

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Benson, Dave
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Descrizione libro Cambridge University Press. Condizione libro: New. 2006. 1st Edition. Paperback. This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound. Num Pages: 426 pages, 263 b/w illus. 17 colour illus. BIC Classification: AV; PB. Category: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 246 x 173 x 20. Weight in Grams: 766. 426 pages, 263 b/w illus. 17 colour illus. Explores interaction between music and mathematics including harmony, symmetry, digital music and perception of sound. Cateogry: (G) General (US: Trade); (P) Professional & Vocational; (U) Tertiary Education (US: College). BIC Classification: AV; PB. Dimension: 246 x 173 x 20. Weight: 854. . . . . . Books ship from the US and Ireland. Codice libro della libreria V9780521619998

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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0521619998. Codice libro della libreria ST0521619998

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Descrizione libro Cambridge University Press. Paperback. Condizione libro: new. BRAND NEW PRINT ON DEMAND., Music: A Mathematical Offering, D. J. Benson, Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand, at varying levels of technicality, the real interplay between these two ancient disciplines. The story is long as well as broad and involves physics, biology, psycho acoustics, the history of science, and digital technology as well as, of course, mathematics and music. Starting with the structure of the human ear and its relationship with Fourier analysis, the story proceeds via the mathematics of musical instruments to the ideas of consonance and dissonance, and then to scales and temperaments. This is a must-have book if you want to know about the music of the spheres or digital music and many things in between. Codice libro della libreria B9780521619998

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David J Benson
ISBN 10: 0521619998 ISBN 13: 9780521619998
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Descrizione libro Paperback. Condizione libro: New. Not Signed; Since the time of the Ancient Greeks, much has been written about the relation between mathematics and music: from harmony and number theory, to musical patterns and group theory. Benson provides a wealth of information here to enable the teacher, the student, or the interested amateur to understand. book. Codice libro della libreria ria9780521619998_rkm

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97805216199980000000

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