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Computer Algebra and Polynomials - Applications of Algebra and Number Theory (Paperback, 2015 ed.)
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Computer Algebra and Polynomials - Applications of Algebra and Number Theory (Paperback, 2015 ed.)
Series: Theoretical Computer Science and General Issues, 8942
Expected to ship within 10 - 15 working days
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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.
General
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