Algebra for Computer Science (Universitext)

The aim of this book is to teach the reader the topics in algebra which are useful in the study of computer science. In a clear, concise style, the author present the basic algebraic structures, and their applications to such topics as the finite Fourier transform, coding, complexity, and automata theory. The book can also be read profitably as a course in applied algebra for mathematics students.

A concise presentation of number theory, algebra, and group theory and their applications to some parts of Computer Science, among them the finite Fourier transform, algebraic complexity theory, coding, Boolean algebra, monoids and rational languages. A judicious choice of exercises has made it possible to cover a large amount of material without sacrificing readability. The book is intended primarily for use in Computer Science, but it may also serve for intermediate algebra courses with selected applications, .