Synopsis
This book delves into the complex realm of algebraic number fields, specifically those with multiple extensions. The author presents a novel algorithm that computes an integer allowing the factorization of polynomials over such fields. This algorithm significantly improves the efficiency and accuracy of factoring polynomials in these intricate mathematical structures. The book explores the concept of double extensions, where an algebraic number field is extended by two or more other fields. It generalizes the notion of factoring polynomials over simple algebraic extensions to the more complex case of multiple extensions. The author provides a detailed analysis of the algorithm, demonstrating its effectiveness in reducing the number of arithmetic operations and the binary length of the integers involved in the factorization process. By extending the results to algebraic number fields with multiple recursive extensions, the book unveils a powerful tool for factoring polynomials over increasingly complex mathematical domains. This work is significant in the field of computer algebra, offering new insights into the factorization of polynomials over algebraic number fields. Its contributions enhance our understanding of these mathematical structures and pave the way for further advancements in factorization algorithms.
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Multiple Extension Algebraic Number Fields (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the complex realm of algebraic number fields, specifically those with multiple extensions. The author presents a novel algorithm that computes an integer allowing the factorization of polynomials over such fields. This algorithm significantly improves the efficiency and accuracy of factoring polynomials in these intricate mathematical structures. The book explores the concept of double extensions, where an algebraic number field is extended by two or more other fields. It generalizes the notion of factoring polynomials over simple algebraic extensions to the more complex case of multiple extensions. The author provides a detailed analysis of the algorithm, demonstrating its effectiveness in reducing the number of arithmetic operations and the binary length of the integers involved in the factorization process. By extending the results to algebraic number fields with multiple recursive extensions, the book unveils a powerful tool for factoring polynomials over increasingly complex mathematical domains. This work is significant in the field of computer algebra, offering new insights into the factorization of polynomials over algebraic number fields. Its contributions enhance our understanding of these mathematical structures and pave the way for further advancements in factorization algorithms. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781332947126_0
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Multiple Extension Algebraic Number Fields Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332947126
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Multiple Extension Algebraic Number Fields Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781332947126
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