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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Đã lưu trong:
Chi tiết về thư mục
Những tác giả chính: Gutierrez, Jaime, Schicho, Josef, Weimann, Martin
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
Những chủ đề:
Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/58695
Các nhãn: Thêm thẻ
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Miêu tả
Tóm tắt: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.