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Comprehensive coverage of Gröbner bases fundamentals for graduate students
Detailed discussion on computing Gröbner bases with practical examples
Exploration of algebraic statistics and its computational tools
Application of Gröbner bases in areas such as convex polytopes and differential operators
Use of various software systems for concrete computations
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Gröbner Bases: Statistics and Software Systems Hibi, Takayuki
The idea of the Gröbner basis first appeared in a 1927 paper by F. S. Macaulay, who succeeded in creating a combinatorial characterization of the Hilbert functions of homogeneous ideals of the polynomial ring. Later, the modern definition of the Gröbner basis was independently