Acoustics & Physics of Music, Music - Psychological Aspects
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Overview
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.Synopsis
Explores interaction between music and mathematics including harmony, symmetry, digital music and perception of sound.
Editorials
From the Publisher
"Perhaps our children will one day remark on the group symmetries in their favorite music in the way that we now simply note a beautiful tune. They, no less than we, will have much to learn from this delightful book, which sets a new standard of excellence and inclusiveness. Anyone who knows some college-level mathematics and is curious about how it can illuminate music will be richly rewarded by reading Benson's outstanding book."Peter Pesic, Tutor and Musician-in-Residence at St. John's College, Santa Fe
"... A precise selection of solutions..."
Luigi Carlo Berselli, Mathematical Reviews
"… 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
Book Details
Published
August 1, 2006
Publisher
Cambridge University Press
Pages
426
Format
Paperback
ISBN
9780521619998