Music: A Mathematical Offering by Dave Benson
Music: A Mathematical Offering - Table of Contents
- 1. Waves and Harmonics
- 2. Fourier Theory
- 3. A Mathematician’s Guide to the Orchestra
- 4. Consonance and Dissonance
- 5. Scales and Temperaments: The Fivefold Way
- 6. More Scales and Temperaments
- 7. Digital Music
- 8. Synthesis
- 9. Symmetry in Music
- A. Answers to Almost All Exercises
- B. Bessel Functions
- C. Complex Numbers
- D. Dictionary
- E. Equal Tempered Scales
- F. Frequency and MIDI Chart
- I. Intervals
- J. Just, Equal and Meantone Scales Compared
- L. Logarithms
- M. Music Theory
- O. Online Papers
- P. Partial Derivatives
- R. Recordings
- W. The Wave Equation
What You Will Learn in Music: A Mathematical Offering
Music: A Mathematical Offering by Dave Benson is a comprehensive exploration connecting harmonic analysis, wave mechanics, and music theory. Designed for mathematics students, musicians, and audio engineers, this text serves as an essential guide to the mathematics of music, acoustics, and sound analysis.
The book systematically investigates sound waves, pitch perception, tuning systems, equal temperament, Fourier series, digital audio synthesis, and symmetry in composition. By linking mathematical physics with psychoacoustics, Benson helps readers develop analytical skills in acoustics and mathematical modeling.
Widely praised for its engaging blend of rigorous mathematics and practical musical applications, this reference remains a valuable resource for interdisciplinary study. Benson’s clear presentation provides a strong foundation in mathematical music theory and audio engineering concepts.
Book Details & Specifications
Title:
Music: A Mathematical Offering by Dave Benson
Publisher:
Cambridge University Press
Year:
2008
Pages:
531
Type:
PDF
Language:
English
ISBN-10 #:
0521619998
ISBN-13 #:
978-0521619998
License:
External Educational Resource
Amazon:
Amazon
About the Author: David J. Benson
The author David J. Benson
is an eminent mathematician and Professor Emeritus at the University of Aberdeen, known for his research in representation theory, algebraic topology, and mathematical acoustics.
Throughout his academic career, Professor Benson has combined his passion for music and mathematics to craft insightful learning resources, offering advanced mathematical music theory study guides for scholars worldwide.
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