Click Here to Download: https://ouo.io/OWxl3gs Computer Algebra and Polynomials Applications of Algebra and Number Theory By: Jaime Gutierrez Publisher: Springer Print ISBN: 9783319150802, 3319150804 eText ISBN: 9783319150819, 3319150812 Copyright year: 2015 Format: EPUB Available from $ 59.99 USD SKU 9783319150819 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.
