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Finite Fields (Encyclopedia of Mathematics and its Applications) 2nd Edition

5.0 out of 5 stars 4 customer reviews
ISBN-13: 978-0521065672
ISBN-10: 0521065674
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Product Details

  • Series: Encyclopedia of Mathematics and its Applications (Book 20)
  • Paperback: 772 pages
  • Publisher: Cambridge University Press; 2 edition (June 19, 2008)
  • Language: English
  • ISBN-10: 0521065674
  • ISBN-13: 978-0521065672
  • Product Dimensions: 6.1 x 1.5 x 9.2 inches
  • Shipping Weight: 2.9 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #1,605,493 in Books (See Top 100 in Books)

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Format: Hardcover
Undoubtedly an excellent book, but comprehensive ... only up to 1983, as this is essentially an IDENTICAL reprint by CUP of the original 1983 book by Addison-Wesley. Don't be misled by the 1997 edition date; second edition = first edition, not a single result from 1983 - 1997.
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Format: Paperback
An excellent reference for cryptographers, coding theorists, and others whose research relies on the theory of finite fields. Each chapter is written by a leading expert in specializing in the topic being treated. There is a 150+ page bibliography that provides a wealth of articles and other books supporting and expanding on the arguments presented here.

The Big Red Book is more than just a reference, though. It makes an excellent introduction to finite fields accessible to anyone with a first year abstract algebra class under their belt (that is, groups, rings, fields, and some galois theory). The writing style is very down to earth and practical, making sparse use of higher level artillery like category theory or topology. The results are often treated as more combinatorial than algebraic, favoring constructive proofs and counting arguments over algebraic geometry.

An excellent addition to the bookshelf of any mathematician, grad student, or undergrad with interests in algebra.
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Format: Hardcover
This book is an excellent reference on finite fields. Chapter 1 covers the necessary background material at the right level for someone with a good knowledge of mathematics, but little algebra. Chapter 2 covers the basics of finite fields and chapter 3 goes into more detail on polynomials. The later chapters treat special topics and some applications. The proofs are clear, not over detailed and not overly terse either. If you just want to know the basics then there may be more in this book than you will ever need, but if you want a thorough reference it is recommended.
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Format: Hardcover
This is the best book on Galois (Finite) Fields, written by Austrian and Australian professors can be recomended as the most complete reference in the field. It is amazing how helpful it has been to me since time I wrote my MS diploma. Though an instance I was using was borrowed from library, I'd recomend everybody, who is related to deescrete math to have one.
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