Multiple Extension Algebraic Number Fields (Classic Reprint) - Couverture souple

Ho, Chung-Jen

9781332947126: Multiple Extension Algebraic Number Fields (Classic Reprint)

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ISBN 10 : 1332947123 ISBN 13 : 9781332947126

Editeur : Forgotten Books, 2018

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332947123
ISBN 13: 9781332947126
Reliure: Broch�
Nombre de pages: 31
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Multiple Extension Algebraic Number Fields (Classic Reprint)

Chung-Jen Ho

Edit� par Forgotten Books, 2024

ISBN 10 : 1332947123 ISBN 13 : 9781332947126

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Paperback. Etat : 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. N� de r�f. du vendeur 9781332947126_0

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