handbook of finite fields 1st edition by gary l mullen pdf tdvl

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==> handbook of finite fields 1st edition by gary l mullen pdf <==

The "Handbook of Finite Fields" by Gary L. Mullen and Daniel Roberts is a comprehensive reference work dedicated to the theory and applications of finite fields, also known as Galois fields. First published in 2013, this handbook serves as an essential resource for researchers, mathematicians, and students involved in the study of finite fields, which are fundamental structures in various areas of mathematics and computer science, including coding theory, cryptography, and combinatorial design theory. The book provides a thorough overview of both the theoretical aspects and practical applications of finite fields, covering essential topics such as field construction, polynomials over finite fields, and the properties of field extensions. Additionally, it delves into various algorithms and techniques for efficient computation within these fields, making it valuable for practitioners. The authors also discuss the historical context and significance of finite fields, providing insights into their development and relevance in modern research. With numerous examples, exercises, and references to further literature, the handbook not only serves as a foundational text for those new to the subject but also as a detailed compendium for experts seeking to deepen their understanding. The organization of the book facilitates easy navigation through its topics, allowing readers to locate specific information quickly. Overall, the "Handbook of Finite Fields" is an indispensable tool for anyone engaged in advanced mathematical research or applications involving finite fields, embodying both theoretical depth and practical relevance.