Finite Fields / Edition 2

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $130.55
Usually ships in 1-2 business days
(Save 6%)
Other sellers (Paperback)
  • All (9) from $130.55   
  • New (7) from $130.55   
  • Used (2) from $212.02   


The theory of finite fields is a branch of algebra that has come to the fore because of its diverse applications in such areas as combinatorics, coding theory and the mathematical study of switching circuits. This book is devoted entirely to the theory of finite fields, and it provides comprehensive coverage of the literature. Bibliographical notes at the end of each chapter give an historical survey of the development of the subject. Worked out examples and lists of exercises found throughout the book make it useful as a text for advanced level courses.
Read More Show Less

Editorial Reviews

From the Publisher
"The authors have done a masterful job in first digesting an enormous amount of material and then organzing it in an efficient way to make for a clear and readable treatise ...This monograph has already become the standard reference on finite fields; indeed, it is referenced in nearly every paper related to finite fields." Bulletin of the American Mathematical Society

"...suitable for self-study or even as a text in a course for, say, an honors class of undergraduate seniors or a graduate-level mathematics class. It is also an excellent reference, especially because of the extensive notes...This well-written treatise deserves attention from everyone interested in any of the several areas in which finite fields arise today." SIAM REVIEW

Read More Show Less

Product Details

Table of Contents

Ch. 1 Algebraic Foundations 1
Ch. 2 Structure of Finite Fields 47
Ch. 3 Polynomials over Finite Fields 83
Ch. 4 Factorization of Polynomials 147
Ch. 5 Exponential Sums 186
Ch. 6 Equations over Finite Fields 268
Ch. 7 Permutation Polynomials 347
Ch. 8 Linear Recurring Sequences 394
Ch. 9 Applications of Finite Fields 470
Ch. 10 Tables 541
Bibliography 567
List of Symbols 727
Author Index 731
Subject Index 747
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)