Softcover bound in glossy pictorial paper. Covers are glossy and clean. Binding is tight and secure. Previous owners name written in blue ink on the title page. Minor stain to fore edge that does not effect the interior/content of the pages. Pages are otherwise crisp, clean, and bright. American Mathematical Society. No date on title page. Copyright dated 2007. 175 pages. A very good copy. We ship everyday from a real neighborhood bookstore. This description is written by an actual person, who is holding the book in front of them to make sure it?s properly described. Please contact us with questions or if you would like to see photographs.

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Dati bibliografici

Titolo: Finite Fields and Applications (Student Mathematical Library, 41)
Editore: Amer Mathematical Society
Data di pubblicazione: 2007
Lingua: Inglese
ISBN 10: 0821844180
ISBN 13: 9780821844182
Rilegatura: paperback
Condizione: Very Good
Peso: 8 once

Descrizione articolo

Riassunto

This book provides a brief and accessible introduction to the theory of finite fields and to some of their many fascinating and practical applications. The first chapter is devoted to the theory of finite fields. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields.
Each of the remaining chapters details applications. Chapter 2 deals with combinatorial topics such as the construction of sets of orthogonal latin squares, affine and projective planes, block designs, and Hadamard matrices. Chapters 3 and 4 provide a number of constructions and basic properties of error-correcting codes and cryptographic systems using finite fields.
Each chapter includes a set of exercises of varying levels of difficulty which help to further explain and motivate the material. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text, as well as exercise related to this material. Appendix B provides hints and partial solutions for many of the exercises in each chapter. A list of 65 references to further reading and to additional topics related to the book's material is also included. Intended for advanced undergraduate students, it is suitable both for classroom use and for individual study.

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Book by Gary L Mullen Carl Mummert

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