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000725496 020__ $$a9783319150819$$qelectronic book
000725496 020__ $$a3319150812$$qelectronic book
000725496 0247_ $$a10.1007/978-3-319-15081-9$$2doi
000725496 035__ $$aSP(OCoLC)ocn902725772
000725496 035__ $$aSP(OCoLC)902725772
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000725496 050_4 $$aQA76.9.A43$$bC65 2015eb
000725496 08204 $$a511.3$$223
000725496 24500 $$aComputer algebra and polynomials$$h[electronic resource] :$$bapplications of algebra and number theory /$$cJaime Gutierrez, Josef Schicho, Martin Weimann (eds.).
000725496 264_1 $$aCham :$$bSpringer,$$c[2015]
000725496 264_4 $$c©2015
000725496 300__ $$a1 online resource (ix, 213 pages) :$$billustrations.
000725496 336__ $$atext$$btxt$$2rdacontent
000725496 337__ $$acomputer$$bc$$2rdamedia
000725496 338__ $$aonline resource$$bcr$$2rdacarrier
000725496 4901_ $$aLecture Notes in Computer Science,$$x0302-9743 ;$$v8942
000725496 4901_ $$aLNCS sublibrary. SL 1, Theoretical computer science and general issues
000725496 500__ $$aIncludes author index.
000725496 5050_ $$aAn Invitation to Ehrhart Theory: Polyhedral Geometry and its Applications in Enumerative Combinatorics -- Moving Curve Ideals of Rational Plane Parametrizations -- Survey on Counting Special Types of Polynomials -- Orbit Closures of Linear Algebraic Groups -- Symbolic Solutions of First-Order Algebraic ODEs -- Ore Polynomials in Sage -- Giac and GeoGebra ? Improved Gröbner Basis Computations -- Polar Varieties Revisited -- A Note on a Problem Proposed by Kim and Lisonek -- Fast Algorithms for Refined Parameterized Telescoping in Difference Fields -- Some Results on the Surjectivity of Surface Parametrizations -- Rational Normal Curves as Set-Theoretic Complete Intersections of Quadrics.
000725496 506__ $$aAccess limited to authorized users.
000725496 520__ $$aAlgebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.
000725496 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 5, 2015).
000725496 650_0 $$aComputer algebra$$vCongresses.
000725496 650_0 $$aNumber theory$$vCongresses.
000725496 650_0 $$aPolynomials$$vCongresses.
000725496 7001_ $$aGutierrez, Jaime,$$d1959-$$4edt
000725496 7001_ $$aSchicho, Josef,$$eeditor.
000725496 7001_ $$aWeimann, Martin,$$eeditor.
000725496 7112_ $$aWorkshop on Computer Algebra and Polynomials$$d(2013 :$$cLinz, Austria)
000725496 77608 $$iPrint version:$$z9783319150802
000725496 830_0 $$aLecture notes in computer science ;$$v8942.
000725496 830_0 $$aLNCS sublibrary.$$nSL 1,$$pTheoretical computer science and general issues.
000725496 852__ $$bebk
000725496 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-15081-9$$zOnline Access$$91397441.1
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