EAN: 9783319150802

COMPUTER ALGEBRA AND POLYNOMIALS KARTONIERT (TB)

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.

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