Description

Book Synopsis
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 covers 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.

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

    Lectures on Finite Fields

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      A Hardback by Xiang–dong Hou

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        Book details

        Publisher American Mathematical Society
        Published 7/30/2018 12:00:00 AM
        ISBN-13 9781470442897
        978-1470442897
        ISBN-10 1470442892

        Description

        Book Synopsis
        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 covers 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.

        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

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