Introduction to Finite Fields and Their Applications (Hardcover)

Rudolf Lidl

ISBN 10: 0521460948 / ISBN 13: 9780521460941

Editore: Cambridge University Press, Cambridge, 1994

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Hardcover. 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, emphasizing 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 designed as a graduate level textbook; worked examples and copious exercises that range from the routine, to those giving alternative proofs of key theorems, to extensions of material covered in the text, are provided throughout. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780521460941

Dati bibliografici

• Titolo: Introduction to Finite Fields and Their Applications (Hardcover)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 1994
• Lingua: Inglese
• ISBN 10: 0521460948
• ISBN 13: 9780521460941
• Rilegatura: Hardcover
• Edizione: seconda edizione
• Condizione: new

Descrizione articolo

Riassunto

Presents an introduction to the theory of finite fields and some of its most important applications.

Recensione

' ... a model of how a text book should be written; it is clear, unfussy and contains lots of examples ... of particular interest to anybody wishing to teach a course in concrete algebra' Mathematika

' ... a very useful and highly readable introduction to the classical theory and the standard applications of finite fields. It has a clear and precise presentation with many examples and a large selection of exercises.' The Mathematical Gazette