Lectures on finite fields

Author(s)

• Hou, Xiang-dong

Bibliographic Information

Lectures on finite fields

Xiang-dong Hou

（Graduate studies in mathematics, v. 190）

American Mathematical Society, c2018

Note

Includes bibliographical references (p. 221-222) and index

Description and Table of Contents

Description

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.

Table of Contents

Polynomials over finite fields Gauss sums Algebraic number theory Zeros of polynomials over finite fields Classical groups Bibliography List of notation Index

by "Nielsen BookData"

Details

• NCID: BB26304715
• ISBN:
  • 9781470442897
• LCCN: 2017049952
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Providence, R.I.
• Pages/Volumes: x, 229 p.
• Size: 27 cm
• Classification:
  • LCC : QA247.3
  • DC23 : 512/.3
• Subject Headings:
  • LCSH : Finite fields (Algebra)
  • FREE : Number theory -- Instructional exposition
  • FREE : Number theory -- Forms and linear algebraic groups
  • FREE : Number theory -- Algebraic number theory: global fields
  • FREE : Number theory -- Finite fields and commutative rings (number-theoretic aspects)
• Parent Bibliography ID:
  • BA20542214