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.
This book is devoted entirely to the theory of finite fields.
From the hardback review: 'This well-written treatise deserves attention from everyone interested in any of the several areas in which finite fields arise today.' SIAM Review From the hardback review: 'This book is devoted entirely to the theory of finite fields ... it provides comprehensive coverage ... useful as a text for advanced level courses.' L'Enseignement Mathematique From the hardback review: 'An excellent and self-contained book.' European Mathematical Society
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