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 ciruits. 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.
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Review of the hardback: 'This well-written treatise deserves attention from everyone interested in any of the several areas in which finite fields arise today.' SIAM Review
Review of the hardback: 'This book is devoted entirely to the theory of finite fields … it provides comprehensive coverage … useful as a text for advanced level courses.' L'Enseignement Mathématique
Review of the hardback: 'An excellent and self-contained book.' European Mathematical Society
Review of the hardback: 'This book is devoted entirely to the theory of finite fields … it provides comprehensive coverage … useful as a text for advanced level courses.' L'Enseignement Mathématique
Review of the hardback: 'An excellent and self-contained book.' European Mathematical Society
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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 ciruits. This book is devoted entirely to the theory of finite fields.
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This introductory chapter contains a survey of some basic algebraic concepts that will be employed throughout the book. Lesen Sie die erste Seite
Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis
This introductory chapter contains a survey of some basic algebraic concepts that will be employed throughout the book. Lesen Sie die erste Seite
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Buchdeckel | Copyright | Inhaltsverzeichnis | Auszug | Stichwortverzeichnis
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Von Ein Kunde
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This monograph is a "must" for anyone working with methods of the theory of finite fields. The authors present a comprehensive collection of concepts and results. In fact, this book has become THE reference on finite fields. It will be helpful for anyone that has to do research in the context of finite fields (like in coding theory, etc.). The reader is supposed to have a good knowledge of mathematics (i.e. a graduate level will be helpful). The strong point of this book is the fact that it contains practically every notion and result that might be of interest. For this reason, one will use it as a reference, but not so much for leisurly reading.
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2-nd edition = 1-st edition
13. Februar 2001
Von Dan C. Popescu
- Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
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.
2 von 3 Kunden fanden die folgende Rezension hilfreich
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An excellent and thorough reference
6. Juli 2007
Von Andrew Storm
- Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
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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Book for professional mathematician
6. Januar 2001
Von Dmitry A. Cousin
- Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
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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