Gröbner Bases and Applications

Gröbner Bases and Applications

by Buchberger, Bruno Winkler, Franz

Type Book
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Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

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Title Statements

  • Full title :Gröbner Bases and Applications / edited by Bruno Buchberger, Franz Winkler.

Summary

Comprehensive account of theory and applications of Gröbner bases, co-edited by the subject's inventor.

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Edition Statements

  • Publication Date:1998.

Publication Statements

Notes

Title from publishers bibliographic system (viewed 22 Dec 2011).

The Physical Object

  • Description:1 online resource (564 pages)

Edition Identifiers

  • ISBN:9780511565847, 0511565844, 9780521632980, 0521632986, 9781107367609, 1107367603
  • oclc:ocn776975269
  • LC Classification:QA251.3 .G76 1998
  • Dewey Decimal:512/.24

Table of Contents

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) -- 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 (…

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Subjects

Bases de Gröbner Gröbner bases

Writers

Buchberger, Bruno Winkler, Franz

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