Math 5: Resources
- SPRING 2007
Theory: General references
- My list of ERRATA for our textbook,
G. Loy, Musimathics, Volume 1 (2006).
- On reserve at the library:
- Arthur Benade, Fundamentals of Musical Acoustics,
(Dover edition, 1990), is a beautiful, non-mathematical introduction
at about our level (in fact with less math than we'll do).
Benade was a renowned researcher of the workings of instruments.
- Fletcher, The Physics of Musical Instruments (1991),
wonderful investigations into details of instrument acoustics,
is more mathematically sophisticated than our course.
Fletcher is known for his original research in this area.
- Rossing, Moore and Wheeler, The Science of Sound,
3rd Ed. (2002). (I think 2nd Ed. is also on reserve).
This massive book introduces many of the
concepts of our course, at our level, with a engineering/physics rather
than math spin.
It tends to be encyclopedic, with a lot of sometimes tedious or
incomprehensible data and graphs on particular instruments,
while missing the elegant universal themes.
Music: A Mathematical Offering
by David J. Benson (Cambridge University Press, 2007),
a freely-available 10MB PDF file. This is a wonderful study,
with beautiful and deep musical-math connections,
and almost-obsessive detail about e.g.
tuning systems, Fourier methods, world-music instruments, symmetry, etc.
It is at the advanced undergrad math major level, but don't be scared to
- Basic Physics of Sound course by Rick Van Kooten at Indiana.
and sound applets from Indiana University Southeast.
- Internet Searching Guide: links on assessing web sources and searching,
by our library staff.
- General notes on exam and study
technique (geared mainly towards final exams in intermediate-level math courses).
Music Theory and Perception
- DRAM Dartmouth has access to this
NYU-based academic music collection (requires Quicktime plugin to listen via
- Primate vocalizations from Hauser lab at Harvard.