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Cover: 9780521460941 | Introduction to Finite Fields and Their Applications | Rudolf Lidl
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Introduction to Finite Fields and Their Applications
Buch von Rudolf Lidl
Sprache: Englisch

190,95 €*

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Beschreibung
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.
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.
Inhaltsverzeichnis
1. Algebraic foundations; 2. Structure of finite fields; 3. Polynomials over finite fields; 4. Factorization of polynomials; 5. Exponential sums; 6. Linear recurring sequences; 7. Theoretical applications of finite fields; 8. Algebraic coding theory; 9. Cryptology; 10. Tables.
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 432
ISBN-13: 9780521460941
ISBN-10: 0521460948
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Lidl, Rudolf
Redaktion: Niederreiter, Harald
Auflage: Revised
Hersteller: Cambridge University Press
Maße: 235 x 157 x 30 mm
Von/Mit: Rudolf Lidl
Erscheinungsdatum: 14.06.2002
Gewicht: 0,85 kg
preigu-id: 101143809
Inhaltsverzeichnis
1. Algebraic foundations; 2. Structure of finite fields; 3. Polynomials over finite fields; 4. Factorization of polynomials; 5. Exponential sums; 6. Linear recurring sequences; 7. Theoretical applications of finite fields; 8. Algebraic coding theory; 9. Cryptology; 10. Tables.
Details
Erscheinungsjahr: 2002
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 432
ISBN-13: 9780521460941
ISBN-10: 0521460948
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Lidl, Rudolf
Redaktion: Niederreiter, Harald
Auflage: Revised
Hersteller: Cambridge University Press
Maße: 235 x 157 x 30 mm
Von/Mit: Rudolf Lidl
Erscheinungsdatum: 14.06.2002
Gewicht: 0,85 kg
preigu-id: 101143809
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