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 |
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 |
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Book DetailsGraduate Studies in MathematicsVolume: 190; 2018; 240 ppMSC: 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.
ReadershipGraduate students and researchers interested in number theory, in particular, the theory of finite fields.
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Table of Contents
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Chapters
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Preliminaries
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Polynomials over finite fields
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Gauss sums
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Algebraic number theory
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Zeros of polynomials over finite fields
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Classical groups
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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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.
-
Chapters
-
Preliminaries
-
Polynomials over finite fields
-
Gauss sums
-
Algebraic number theory
-
Zeros of polynomials over finite fields
-
Classical groups