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Gröbner bases and applications /
This book provides an easy-to-read account of the theory of Gröbner bases and applications. It is in 2 parts, the first consists of tutorial lectures, and the second, 17 original research papers on Gröbner bases.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, U.K. ; New York :
Cambridge University Press,
1998.
|
| Colección: | London Mathematical Society lecture note series ;
251. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Gröbner bases and applications / |c edited by B. Buchberger & F. Winkler. |
| 260 | |a Cambridge, U.K. ; |a New York : |b Cambridge University Press, |c 1998. | ||
| 300 | |a 1 online resource (viii, 552 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 251 | |
| 500 | |a Papers from an intensive course for researchers (Jan. 1998) and a conference "33 Years of Gröbner Bases" held at RISC-Linz, Feb. 2-4, 1998. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 520 | 8 | |a This book provides an easy-to-read account of the theory of Gröbner bases and applications. It is in 2 parts, the first consists of tutorial lectures, and the second, 17 original research papers on Gröbner bases. | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; Programme Committee; Tutorials; Introduction to Grobner Bases; Outline; 1 Grobner Bases at Work; 1.1 Example: Fermat Ideals; 1.2 Example: Geometry Theorem Proving; 1.3 Example: Invariant Theory; 1.4 Example: Systems of Polynomial Equations; 2 The Main Theorem on Grobner Bases; 2.1 Polynomials; 2.2 Polynomial Ideals; 2.3 Admissible Orderings on Power Products; 2.4 Order Dependent Decomposition of Polynomials; 2.5 Admissible Orderings on Polynomials; 2.6 Reduction Modulo Polynomials; Definition (Reduction Modulo Polynomials) | |
| 505 | 8 | |a Proposition (Noetherianity of Reduction Modulo Polynomials)Proposition (Property of Reduction Algorithm):; Proposition (Property of Cofactor Algorithm); Proposition (Compatibility of Reduction); Proposition (Relation Between Reduction and Congruence); 2.7 Some General Properties of Noetherian ReductionRelations; 2.8 Grobner Bases; 2.9 S-Polynomials; 2.10 The Main Theorem: Algorithmic Characterizationof Grobner Bases by S-Polynomials; 2.11 An Algorithm for Constructing Grobner Bases; Proposition (Correctness of the Grobner-Basis Algorithm):; Definition (Reduced Grobner Bases) | |
| 505 | 8 | |a Proposition (Canonicality):2.12 Other Characterizations of Grobner Bases; 3 Applications of Grobner Bases; 3.1 Overview; 3.2 Ideal Membership, Canonical Simplification, IdealIdentity; 3.3 Radical Membership; 3.4 Computation in Residue Class Rings Modulo Ideals; 3.5 Leading Power Products; 3.6 Polynomial Equations; 3.7 Linear Syzygies; 3.8 Hilbert Functions; 3.9 Elimination Ideals; 3.10 Ideal Operations; 3.11 Algebraic Relations and Implicitization; 3.12 Inverse Mappings; 3.13 Miscellaneous; References; Symbolic Summation and Symbolic Integration; Introduction | |
| 505 | 8 | |a 1 Indefinite Summation and Integration1.1 Ore Operators, Ore Algebras, Annihilating Ideals; 1.2 Grobner Bases in Ore Algebras; Contiguity Relations for the Appell F4 Bivariate HypergeometricFunction; 1.3 5-Finite Functions; 1.4 Indefinite Summation and Integration; Particular Solutions; Multivariate Extension; 2 Definite Summation and Integration; 2.1 Creative Telescoping and Elimination by GrobnerBases; 2.2 Multiple Summations and Integrations; 2.3 Takayama's Algorithm and Grobner Bases of Modules; Gordon's Generalization of the Rogers-Ramanujan Identities | |
| 505 | 8 | |a 2.4 Zeilberger's Fast Algorithm and its <9-Finite ExtensionCalkin's Curious Identity; 3 Closure Properties; 3.1 Addition, Product and Derivation of 5-Finite Functionsby the FGLM Algorithm; 3.2 Indefinite Summation and Integration by GrobnerBases; 4 Dimension and Holonomy; Acknowledgements; References; Grobner Bases and Invariant Theory; 0 Introduction; 1 Basic definitions and problems; 2 Algorithms for finite groups; 3 Algorithms for linearly reductive groups; References; A Tutorial on Generic Initial Ideals; Why is the gin Borel-fixed?; Why does the rlex gin compute satiety and regularity? | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Gröbner bases. | |
| 650 | 6 | |a Bases de Gröbner. | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Gröbner bases. |2 fast |0 (OCoLC)fst00948675 | |
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| 700 | 1 | |a Buchberger, Bruno. | |
| 700 | 1 | |a Winkler, Franz, |d 1955- | |
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| 830 | 0 | |a London Mathematical Society lecture note series ; |v 251. | |
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