Textbook in PDF format

The goal of this book is both to introduce algebraists to some novel applications of algebra in communications, control, and signal processing and also to teach engineers and computer scientists some advanced algebraic theory that can be employed in multiple settings. It begins with a discussion of the main tools of abstract algebra, namely groups and fields, and continues with a brief utilitarian guide to the main concepts of algebraic geometry, connecting them with the concept of field of functions. Algebraic Tools. Traditional Applications. Recent Applications to Communications. Emerging Applications to Signal Processing