A logical organization for this book would be along the lines above, starting with Newton's laws, differential equations, digitization methods, and so on through the various methods. However, we proceed instead as follows:

- Delay-line and digital-waveguide acoustic modeling
- Time-invariant case (acoustic multipath, artificial reverberation)
- Time-varying case (phasing, flanging, chorus, Leslie, vibrating strings and air columns)

- Impedance modeling and equivalent circuits
- Finite differences and transfer functions
- Application examples
- Appendices on C++ software, history, Newtonian physics, digital waveguide theory details, more about finite difference schemes, and wave digital filters

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Center for Computer Research in Music and Acoustics (CCRMA), Stanford University