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Gröbner bases --- ALGEBRA --- data processing --- Grobner bases. --- Grobner bases --- Gröbner basis theory --- Bases de Gröbner --- Gröbner bases --- Bases de Gröbner --- Algebra --- 512.55 --- 512.55 Rings and modules --- Rings and modules --- Commutative algebra --- Data processing --- Ordered algebraic structures --- Data processing. --- Algèbre --- Informatique --- Geometry, Algebraic --- Géométrie algébrique. --- Algorithms --- Algorithmes. --- Algèbres commutatives --- Algebra - Data processing. --- ALGEBRA - data processing --- Algèbres commutatives --- Géométrie algébrique.

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The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all major mathematical software systems. This book provides a short and easy-to-read account of the theory of Gröbner bases and its applications. It is in two parts, the first consisting of tutorial lectures, beginning with a general introduction. The subject is then developed in a further twelve tutorials, written by leading experts, on the application of Gröbner bases in various fields of mathematics. In the second part are seventeen original research papers on Gröbner bases. An appendix contains the English translations of the original German papers of Bruno Buchberger in which Gröbner bases were introduced.

Gröbner bases. --- Coding theory --- Gröbner basis theory --- Commutative algebra --- Geometry, Algebraic --- Géométrie algébrique. --- Algorithms --- Algorithmes. --- Anneaux de polynômes. --- Polynomial rings. --- Algèbres commutatives. --- Polynômes --- Polynomials --- 512.56 --- 512.56 Lattices, including Boolean rings and algebras --- Lattices, including Boolean rings and algebras --- Grobner bases. --- Géométrie algébrique --- Algorithmes --- Anneaux de polynômes. --- Algèbres commutatives. --- Polynômes