Lectures on finite fields
Hou, Xiang-dong
Lectures on finite fields - Rhode Island : American Mathematical Society, 2018. - x, 229p : illustrations ; 26 cm. - Graduate studies in mathematics ; 190 .
Includes bibliographical references (pages 221-222) and index.
The theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book is a collection of selected topics in the theory of finite fields and related areas. The topics include basic facts about finite fields, polynomials over finite fields, Gauss sums, algebraic number theory and cyclotomic fields, zeros of polynomials over finite fields, and classical groups over finite fields. The book is mostly self-contained, and the material covered is accessible to readers with the knowledge of graduate algebra; the only exception is a section on function fields. Each chapter is supplied with a set of exercises. The book can be adopted as a text for a second year graduate course or used as a reference by researchers.
Graduate students and researchers interested in number theory, in particular, the theory of finite fields.
9781470442897
Finite fields (Algebra)
Number theory -- Instructional exposition (textbooks, tutorial papers, etc.).
Number theory -- Forms and linear algebraic groups -- Forms and linear algebraic groups.
Number theory -- Algebraic number theory: global fields -- Algebraic number theory: global fields.
Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects).
512.624 / HOU-L
Lectures on finite fields - Rhode Island : American Mathematical Society, 2018. - x, 229p : illustrations ; 26 cm. - Graduate studies in mathematics ; 190 .
Includes bibliographical references (pages 221-222) and index.
The theory of finite fields encompasses algebra, combinatorics, and number theory and has furnished widespread applications in other areas of mathematics and computer science. This book is a collection of selected topics in the theory of finite fields and related areas. The topics include basic facts about finite fields, polynomials over finite fields, Gauss sums, algebraic number theory and cyclotomic fields, zeros of polynomials over finite fields, and classical groups over finite fields. The book is mostly self-contained, and the material covered is accessible to readers with the knowledge of graduate algebra; the only exception is a section on function fields. Each chapter is supplied with a set of exercises. The book can be adopted as a text for a second year graduate course or used as a reference by researchers.
Graduate students and researchers interested in number theory, in particular, the theory of finite fields.
9781470442897
Finite fields (Algebra)
Number theory -- Instructional exposition (textbooks, tutorial papers, etc.).
Number theory -- Forms and linear algebraic groups -- Forms and linear algebraic groups.
Number theory -- Algebraic number theory: global fields -- Algebraic number theory: global fields.
Number theory -- Finite fields and commutative rings (number-theoretic aspects) -- Finite fields and commutative rings (number-theoretic aspects).
512.624 / HOU-L
