Computer algebra and polynomials : applications of algebra and number theory / Jaime Gutierrez, Josef Schicho, Martin Weimann (eds.).
"Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find a...
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| Other Authors: | , , |
| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
[2015]
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| Series: | Lecture notes in computer science ;
8942. Lecture notes in computer science. State-of-the-art survey. LNCS sublibrary. Theoretical computer science and general issues |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | "Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life.This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects.The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory."--Publisher's website. |
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| Physical Description: | 1 online resource (vi, 212 pages) : illustrations. |
| Bibliography: | Includes bibliographical references and index. |
| ISSN: | 0302-9743 ; |