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Lectures on Finite Fields
 
Xiang-dong Hou University of South Florida, Tampa, FL
Lectures on Finite Fields
Hardcover ISBN:  978-1-4704-4289-7
Product Code:  GSM/190
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-4727-4
Product Code:  GSM/190.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Hardcover ISBN:  978-1-4704-4289-7
eBook: ISBN:  978-1-4704-4727-4
Product Code:  GSM/190.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
Lectures on Finite Fields
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Lectures on Finite Fields
Xiang-dong Hou University of South Florida, Tampa, FL
Hardcover ISBN:  978-1-4704-4289-7
Product Code:  GSM/190
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-4727-4
Product Code:  GSM/190.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Hardcover ISBN:  978-1-4704-4289-7
eBook ISBN:  978-1-4704-4727-4
Product Code:  GSM/190.B
List Price: $220.00 $177.50
MAA Member Price: $198.00 $159.75
AMS Member Price: $176.00 $142.00
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 1902018; 240 pp
    MSC: Primary 11

    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.

    Readership

    Graduate students and researchers interested in number theory, in particular, the theory of finite fields.

  • Table of Contents
     
     
    • Chapters
    • Preliminaries
    • Polynomials over finite fields
    • Gauss sums
    • Algebraic number theory
    • Zeros of polynomials over finite fields
    • Classical groups
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1902018; 240 pp
MSC: Primary 11

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.

Readership

Graduate students and researchers interested in number theory, in particular, the theory of finite fields.

  • Chapters
  • Preliminaries
  • Polynomials over finite fields
  • Gauss sums
  • Algebraic number theory
  • Zeros of polynomials over finite fields
  • Classical groups
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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