Description

Book Synopsis
As algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Grobner Bases is one topic which has recently become a very popular and important area of modern algebra.

Table of Contents
Rings.

Fields, and Ideals.

Monomial Ideals.

Gröbner Bases.

Algebraic Sets.

Primary Decomposition of Ideals.

Solving Systems of Polynomial Equations.

Applications of Gröbner Bases.

Homogeneous Algebras.

Projective Varieties.

The Associated Graded Ring.

Hilbert Series.

Variations of Gröbner Bases.

Improvements to Buchberger's Algorithm.

Software.

Hints to Some Exercises.

Answers to Exercises.

Bibliography.

Index.

An Introduction to Grobner Bases

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    A Hardback by Ralf Fröberg

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      View other formats and editions of An Introduction to Grobner Bases by Ralf Fröberg

      Publisher: John Wiley & Sons Inc
      Publication Date: 27/08/1997
      ISBN13: 9780471974420, 978-0471974420
      ISBN10: 0471974420
      Also in:
      Mathematics Groups and group theory

      Description

      Book Synopsis
      As algebra becomes more widely used in a variety of applications and computers are developed to allow efficient calculations in the field, so there becomes a need for new techniques to further this area of research. Grobner Bases is one topic which has recently become a very popular and important area of modern algebra.

      Table of Contents
      Rings.

      Fields, and Ideals.

      Monomial Ideals.

      Gröbner Bases.

      Algebraic Sets.

      Primary Decomposition of Ideals.

      Solving Systems of Polynomial Equations.

      Applications of Gröbner Bases.

      Homogeneous Algebras.

      Projective Varieties.

      The Associated Graded Ring.

      Hilbert Series.

      Variations of Gröbner Bases.

      Improvements to Buchberger's Algorithm.

      Software.

      Hints to Some Exercises.

      Answers to Exercises.

      Bibliography.

      Index.

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