Solving Polynomial Equation Systems I : The Kronecker-Duval Philosophy
Saved in:
| Title: | Solving Polynomial Equation Systems I : The Kronecker-Duval Philosophy |
|---|---|
| Description: | Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials. |
| Authors: | Teo Mora |
| Resource Type: | eBook. |
| Subjects: | Equations--Numerical solutions, Polynomials, Iterative methods (Mathematics) |
| Categories: | MATHEMATICS / Algebra / Elementary |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
|---|---|
| Header | DbId: nlebk DbLabel: eBook Collection (EBSCOhost) An: 120330 RelevancyScore: 985 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 985.343994140625 |
| IllustrationInfo | |
| ImageInfo | – Size: thumb Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$120330$PDF&s=r – Size: medium Target: https://rps2images.ebscohost.com/rpsweb/othumb?id=NL$120330$PDF&s=d |
| Items | – Name: Title Label: Title Group: Ti Data: Solving Polynomial Equation Systems I : The Kronecker-Duval Philosophy – Name: Abstract Label: Description Group: Ab Data: Polynomial equations have been long studied, both theoretically and with a view to solving them. Until recently, manual computation was the only solution method and the theory was developed to accommodate it. With the advent of computers, the situation changed dramatically. Many classical results can be more usefully recast within a different framework which in turn lends itself to further theoretical development tuned to computation. This first book in a trilogy is devoted to the new approach. It is a handbook covering the classical theory of finding roots of a univariate polynomial, emphasising computational aspects, especially the representation and manipulation of algebraic numbers, enlarged by more recent representations like the Duval Model and the Thom Codification. Mora aims to show that solving a polynomial equation really means finding algorithms that help one manipulate roots rather than simply computing them; to that end he also surveys algorithms for factorizing univariate polynomials. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Teo+Mora%22">Teo Mora</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Equations--Numerical+solutions%22">Equations--Numerical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Polynomials%22">Polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Iterative+methods+%28Mathematics%29%22">Iterative methods (Mathematics)</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Elementary%22">MATHEMATICS / Algebra / Elementary</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=120330 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 512.94 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Equations--Numerical solutions Type: general – SubjectFull: Polynomials Type: general – SubjectFull: Iterative methods (Mathematics) Type: general Titles: – TitleFull: Solving Polynomial Equation Systems I : The Kronecker-Duval Philosophy Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Teo Mora – PersonEntity: Name: NameFull: Teo Mora IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2003 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780521811545 – Type: isbn-electronic Value: 9780511064494 Numbering: – Type: volume Value: I Titles: – TitleFull: Solving Polynomial Equation Systems I : The Kronecker-Duval Philosophy Type: main |
| ResultId | 1 |
