Finite Fields and Applications (Student Mathematical Library, 41)

Mullen, Gary L.; Mummert, Carl

ISBN 10: 0821844180 / ISBN 13: 9780821844182

Published by Amer Mathematical Society, 2007

About this Item

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.

Seller Inventory # F-13069

Bibliographic Details

• Title: Finite Fields and Applications (Student Mathematical Library, 41)
• Publisher: Amer Mathematical Society
• Publication Date: 2007
• Language: English
• ISBN 10: 0821844180
• ISBN 13: 9780821844182
• Binding: paperback
• Condition: Very Good

About this title

Synopsis

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,

Review

"This book gives a quick, clear introduction to finite fields and discusses applications in combinatorics, algebraic coding theory, and cryptography. ... The work contains more than 100 exercises, appendixes on number theoretic and algebraic background, exercise hints, and a list of 65 references." ---- CHOICE Magazine

"The book is very well written and most stimulating. In addition, it is well suited for self-study. The student having a course using this book or anyone studying it will be substantially rewarded. On the whole, the authors succeed in providing a nice introduction to an active field of research." ---- Mathematical Reviews

"Altogether, this undergraduate text is an extremely carefully written introduction to the subject for beginners, which stands out by its remarkable features: instructional mastery, lucidity, diversity, profundity, topicality, and user-friendly determination. Being a lovely invitation to this current topic of mathematical (and interdisciplinary) research, the book is perfectly suitable both for classroom use and for individual study." ---- Zentralblatt MATH