Geodesic
Polynomial division and Gröbner bases
The Teaching of Mathematics, XVI (2013) no. 1, p. 22 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Division in the ring of multivariate polynomials is usually not a part of the standard university math curriculum. However, the algorithm is elementary and it has very important consequences for algebraic computations. In this paper, the algorithm is explained and illustrated with some examples, and the importance of the choice of monomial ordering is stressed. The notion of Gröbner basis is introduced and explained on examples. The paper can be used by math students and teachers as a brief description of this very important topic and introduction for reading more detailed textbooks.
Classification : 1AMS97H20 2ZDMH25 H75
Keywords: multivariate polynomial division, Gröbner basis. 
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Samira Zeada. Polynomial division and Gröbner bases. The Teaching of Mathematics, XVI (2013) no. 1, p. 22 . http://geodesic.mathdoc.fr/item/TM2_2013_XVI_1_a4/