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Introduction to Finite Fields and Their Applications, by Rudolf Lidl, Harald Niederreiter
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The first part of this book presents an introduction to the theory of finite fields, with emphasis on those aspects that are relevant for applications. The second part is devoted to a discussion of the most important applications of finite fields especially information theory, algebraic coding theory and cryptology (including some very recent material that has never before appeared in book form). There is also a chapter on applications within mathematics, such as finite geometries. combinatorics. and pseudorandom sequences. Worked-out examples and list of exercises found throughout the book make it useful as a textbook.
- Sales Rank: #4440397 in Books
- Brand: Cambridge University Press
- Published on: 1986-06-27
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x 1.02" w x 5.98" l,
- Binding: Hardcover
- 416 pages
- Used Book in Good Condition
Review
"...this book will continue to serve its purpose as an introduction for students, since it is devoted mainly to those parts that have a certain quality of timelessness, namely the classical theory and the standard applications of finite fields." Mathematical Reviews
From the Back Cover
The theory of finite fields is a branch of modern algebra that has come to the fore in recent years because of its diverse applications in such areas as combinatorics, coding theory, cryptology and the mathematical study of switching circuits. The first part of this book presents an introduction to this theory, emphasising those aspects that are relevant for application. The second part is devoted to a discussion of the most important applications of finite fields, especially to information theory, algebraic coding theory and cryptology. There is also a chapter on applications within mathematics such as finite geometries, combinatorics and pseudo-random sequences. The book is meant to be used as a textbook: worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions for material covered in the text, are provded throughout. It will appeal to advanced undergraduates and graduate students taking courses on topics in applied algebra whether they have backgrounds in mathematics, electrical engineering or computer science. Non-specialists will also find this a readily accessible introduction to an active and increasingly important subject.
Most helpful customer reviews
2 of 10 people found the following review helpful.
An undergraduate text for Mathematics students
By A Customer
This book covers the basics of finite field theory and its applications, but the coverage is at a level more appropriate for engineers than for mathematicians. Even for mathematicians, though, the books is an excellent introduction to the subject.
Engineers may be frustrated by the lack of hardware implementation issues.
2 of 8 people found the following review helpful.
A graduate text for Engineering students
By A Customer
The book is fairly dense, but it is organized as a textbook with exercises after each chapter. There is a good system of cross-indexing to allow students to skip ahead and easily locate the background material they need to review.
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