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Title
Computer algebra and polynomials [electronic resource] : applications of algebra and number theory / Jaime Gutierrez, Josef Schicho, Martin Weimann (eds.).
ISBN
9783319150819 electronic book
3319150812 electronic book
Published
Cham : Springer, [2015]
Copyright
©2015
Language
English
Description
1 online resource (ix, 213 pages) : illustrations.
Item Number
10.1007/978-3-319-15081-9 doi
Call Number
QA76.9.A43 C65 2015eb
Dewey Decimal Classification
511.3
Summary
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.
Note
Includes author index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed February 5, 2015).
Series
Lecture notes in computer science ; 8942.
LNCS sublibrary. SL 1, Theoretical computer science and general issues.
Available in Other Form
Print version: 9783319150802
An Invitation to Ehrhart Theory: Polyhedral Geometry and its Applications in Enumerative Combinatorics
Moving Curve Ideals of Rational Plane Parametrizations
Survey on Counting Special Types of Polynomials
Orbit Closures of Linear Algebraic Groups
Symbolic Solutions of First-Order Algebraic ODEs
Ore Polynomials in Sage
Giac and GeoGebra ? Improved Gröbner Basis Computations
Polar Varieties Revisited
A Note on a Problem Proposed by Kim and Lisonek
Fast Algorithms for Refined Parameterized Telescoping in Difference Fields
Some Results on the Surjectivity of Surface Parametrizations
Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics.