Computer Algebra and Polynomials Applications of Algebra and Number Theory
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 applica...
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Springer
2015
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oai:scholar.dlu.edu.vn:DLU123456789-586952023-11-11T06:15:54Z Computer Algebra and Polynomials Applications of Algebra and Number Theory Gutierrez, Jaime Schicho, Josef Weimann, Martin Computer algebra Congresses Number theory Polynomials 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. 2015-10-02T03:21:42Z 2015-10-02T03:21:42Z 2015 Book 978-3-319-15081-9 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58695 en application/pdf Springer |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| topic |
Computer algebra Congresses Number theory Polynomials |
| spellingShingle |
Computer algebra Congresses Number theory Polynomials Gutierrez, Jaime Schicho, Josef Weimann, Martin Computer Algebra and Polynomials Applications of Algebra and Number Theory |
| description |
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. |
| format |
Book |
| author |
Gutierrez, Jaime Schicho, Josef Weimann, Martin |
| author_facet |
Gutierrez, Jaime Schicho, Josef Weimann, Martin |
| author_sort |
Gutierrez, Jaime |
| title |
Computer Algebra and Polynomials
Applications of Algebra and Number Theory |
| title_short |
Computer Algebra and Polynomials
Applications of Algebra and Number Theory |
| title_full |
Computer Algebra and Polynomials
Applications of Algebra and Number Theory |
| title_fullStr |
Computer Algebra and Polynomials
Applications of Algebra and Number Theory |
| title_full_unstemmed |
Computer Algebra and Polynomials
Applications of Algebra and Number Theory |
| title_sort |
computer algebra and polynomials
applications of algebra and number theory |
| publisher |
Springer |
| publishDate |
2015 |
| url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58695 |
| _version_ |
1819807856969383936 |