Music: A Mathematical Offering
by Dave Benson
Publisher: Cambridge University Press 2006
Number of pages: 530
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.
Download or read it online for free here:
Engineering acoustics is the study of the generation and manipulation of sound waves, from an engineering perspective. The book describes some of the fundamental principles of acoustics, it requires knowledge of calculus and differential equations.
by J. W. S. Rayleigh - MacMillan
One of the first books in the field of acoustics, written in a very logical manner, many topics are the research results of Lord Rayleigh himself. Any acoustician who wants to understand physical principles should start with Rayleighs work.
by Davide Rocchesso - Davide Rocchesso
This is an introductory book on sound processing. By reading this book, you may expect to acquire some knowledge on the mathematical, algorithmic, and computational tools important in order to become proficient sound designer or manipulator.
by David Lapp - Tufts University
The book covers the physics of waves, sound, music, and musical instruments at a high school physics level. A resource for those teaching or learning waves and sound from the middle school through college, at the mathematical or conceptual level.