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Algebra for Computer Scienceby L Garding
Synopses & Reviews
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.
Table of Contents
Contents: Number Theory.- Number Theory and Computing.- Abstract Algebra and Modules.- The Finite Fourier Transform.- Rings and Fields.- Algebraic Complexity Theory.- Polynomial Rings, Algebraic Fields, Finite Fields.- Shift Registers and Coding.- Groups.- Boolean Algebra.- Monoids, Automata, Languages.- Literature.- References.- Index.
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