Finite Fields

ISBN-13: 9780521392310 / Angielski / Twarda / 1997 / 772 str.

Rudolf Lidl; G. -C Rota; B. Doran

Opis

The theory of finite fields is a branch of algebra with diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching circuits. This updated second edition is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature. Bibliographical notes at the end of each chapter give a historical survey of the development of the subject. Worked examples and lists of exercises throughout the book make it useful as a text for advanced level courses for students of algebra.

Recenzje

Review of the hardback: 'An excellent and self-contained book.' European Mathematical Society

Spis treści

1. Algebraic foundations; 2. Structure of finite fields; 3. Polynomials over finite fields; 4. Factorization of polynomials; 5. Exponential sums; 6. Equations over finite fields; 7. Permutation polynomials; 8. Linear recurring sequences; 9. Applications of finite fields; 10. Tables.