http://crca.ucsd.edu/~msp/techniques.htm

Draft version 0.0.9 has just been released, fixing many errors.

It's going to be an essential reference work, up there with Dodge and Jerse and Roads,
and I can't wait to hold a real copy.
But this is the one I'm really waiting for....
http://www.maths.abdn.ac.uk/~bensondj/html/maths-music.html

there's a study group using this book in the reaktor forums
can we start a study group here? i would love to learn this book. (i hate reaktor)
can we start a thread for the studygroup?

Sounds like a good idea. I'm going to wait until xmas though and then treat myself to a copy of Millers book and Bensons. (if they are in print yet) It would be nice to work stepwise through the theory and actually implement and discuss it as we go.

bring it on, I'd enlist
Miller's book references to Benson's no?

i printed this out at staples last year for 30 bucks, and it probably cut a year off the learning curve for me... i highly recommend it, especially for n00bs... combined with the tutorials, it really is the best thing you can have to learn (besides #dataflow on freenode
-ian

Is Benson's book the most comprehensive book to date on Maths and Music?

If you are searching a comprehensive book on sound synthesis
Benson's book is probably not the best choice to start .. Dodge & Jerse or Miller's
or Roads' are more tailored on the subject. Benson's has some chapters
about synthesis but it is more focused on physic of instruments, scales
and some other "esotheric" aspects of mathematics in music...

Alberto

does anybody know wher can I find the solutions to the excercises?
thanks

I'd like the solutions too.

Miller's book is why I was able to get started in synthesis in the first place. I've had to learn about audio signals from scratch, other than a primer course from college that laid out some of the math (which I had to take twice). Instead of going in the DSP direction, my specialty was digital logic - instruction decoders, interfaces, memory design, FSM's and such, so I'm still in a learning phase for almost all of the synthesis process. It's kind of hard to make myself do homework when nearly half the time I don't even know if I'm doing it right, so the solutions would really help.

the benson book is indeed awesome, I've flipped through it before (clicked, I guess) just to come to grips with some math before I was aware of pd. what is this Dodge and Jerse and Roads, though?

2randal: this one - Dodge, Charles and Thomas A. Jerse. Computer Music: synthesis, compsition and performance. New York: Schirmer Books, 1985. or just now i found this - http://books.google.com/books?id=_W9Ek2LmPNMC&printsec=frontcover&dq=Sound+Synthesis&hl=cs&sig=sFnEm6IeSKyOGJjvulwz5J4NLP0

I picked upa bargain at the weekend, not to everyones taste, but definitely interesting to musicians and instrument designers. No computer code - this one was published in 57, went out of print for a while, and is now published by Dover at a very cheap price.

Music, Physics and Engineering - Harry F. Olson
ISBN 9780486217697

Would describe this one as lower intermdiate level - not such harsh math as Benson or Puckette, more demanding on physics/mechanics though

Chapters

1. Sound Waves
2. Musical Terminology
3. Musical Scales
4. Resonators and Radiators
5. Musical Instruments
6. Characteristics of Musical Instruments
7. Properties of Music
8. Theater, Studio and Room Acoustics
9. Sound Reproducing Systems
10. Electronic Music

With the exception of (9) and (10) (which are only historical now) all are very good and useful today. The units are SI compatible but ocassional inches, feet, dynes etc.