The best intro to acoustics, from an engineering & physics viewpoint. The first half deals only with planar waves and gives you a good foundation. The last half is a survey of advanced topics.

Covers basic DSP plus topics not covered elsewhere such as comb filters, resonators, reverb, & digital sim of a plucked string. See http://ccrma.stanford.edu/~jos/pubs.html for companion material.

Another great book by Julius Smith on the DFT. Very practical and interesting. Also available on the web for free at http://ccrma.stanford.edu/~jos/mdft/

Shows how human memory influences the organization of music. The first part presents basic ideas about memory and perception from cognitive psychology and, to some extent, cognitive linguistics. Topics include auditory processing, perception, and recognition. The second part describes in detail how the concepts from the first part are exemplified in music.

A wealth of information for understanding the interplay between music & mathematics. The story involves physics, biology, psychoacoustics, science history, & digital technology. Starts with the structure of the human ear and its relationship to Fourier analysis and proceeds via the math of musical instruments to consonance and dissonance, and then to scales & temperaments.

Goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform.

A broad overview of signal processing as it pertains to speech recognition and music. Shows similarities between speech & music processing & contains a good section on pattern recognition.

Covers all phases of speech recognition, processing, & synthesis. If you're interested in NLP, see the "Computational Linguistics Syllabus" Amazon Listmania. It is excellent.

1st part shows a basis for HW systems used in digital audio signal processing & the 2nd part discusses algorithms for processing digital audio signals. Read previous books on list first for basics.

Older book explains audio signals, frequency, pitch, & Fourier transforms at a level for those who know trig, & in a highly readable way. Also explains some basic audio file formats.

Talks about audio effects, & has much info on building a cakewalk-like app & interface. Updated code for JMF2.0 at ftp://ftp.prenhall.com/pub/ptr/professional_computer_science.w-022/digital_audio/.

Applied book on dynamical systems that includes Java & C code plus algorithms. Ideas extend to algorithmic composition. Also read the more accessible "Computational Beauty of Nature" by Flake.

Not an introductory text. For the serious musician that wants to program in CSound, C, C++, etc. Contains advanced synthesis methods plus math.

a reference work on the physics of musical instruments. No psychoacoustics & the math is not for the faint of heart. Use it with the next item on the list.

Due out in Dec. 2005, the latest in David Cope's books on musical intelligence and algorithmic composition. Download the computer programs from http://arts.ucsc.edu/faculty/cope.

This old book touches on nearly every aspect of sound synthesis & processing with analog, digital & hybrid designs. For more basic info read also "Synthesizer Programming" by Hurtig, ISBN 0881887145.