An Introduction to Gröbner BasesISBN: 978-0-471-97442-0
Hardcover
192 pages
October 1997
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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.
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.