signal processing series, after . The books can be loosely summarized by the following ``design goals'':
Figure 1 illustrates the dependencies. A solid line indicates a strong dependence, while a dotted line indicates a weaker (optional) dependence. The student is expected to pick up elementary physics  and programming skills [82,15] elsewhere. In all books, the main chapters contain approximately what is covered in class, while the appendices provide both elementary background material and additional advanced topics.
- MATHEMATICS OF THE DISCRETE FOURIER TRANSFORM
All about the DFT formula and its constituents, with frequent references to audio applications.
- INTRODUCTION TO DIGITAL
A gentle introduction to the analysis and implementation of digital filters, with particular emphasis on audio applications.
- PHYSICAL AUDIO SIGNAL PROCESSING
Efficient computational physical models for delay effects and virtual acoustic musical instruments.
- SPECTRAL AUDIO SIGNAL PROCESSING
Analysis, processing, and synthesis of audio signals in terms of spectral representations computed using the Fast Fourier Transform (FFT).