Title
Finite Fields and Applications (Student Mathematical Library, 41),New
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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 errorcorrecting 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,
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- Q: What is the main focus of 'Finite Fields and Applications'? A: The book primarily focuses on the theory of finite fields and explores their numerous applications in areas such as combinatorics, error-correcting codes, and cryptography.
- Q: Who is the author of this book? A: The author of 'Finite Fields and Applications' is Gary L. Mullen.
- Q: How many pages does the book have? A: The book contains a total of 175 pages.
- Q: What is the condition of the book being sold? A: This listing is for a used book that is in good condition.
- Q: What type of binding does the book have? A: 'Finite Fields and Applications' is available in a paperback binding.
- Q: When was this book published? A: The book was published on January 1, 2007.
- Q: Does the book include exercises, and what is their purpose? A: Yes, each chapter includes a set of exercises designed to reinforce the material and enhance understanding.
- Q: Is there any prior knowledge required to understand the book? A: Appendix A provides a brief review of basic number theory and abstract algebra, which may be helpful for readers.
- Q: What are some of the applications covered in the book? A: Applications include combinatorial topics, error-correcting codes, and cryptographic systems using finite fields.
- Q: Is this book suitable for beginners in mathematics? A: Yes, the book offers a brief and accessible introduction, making it suitable for beginners as well as those looking to deepen their understanding of finite fields.