Gröbner bases --- CAG L13.1 скачать в хорошем качестве

Gröbner bases --- CAG L13.1

We define Gröbner bases, show their existence, and then study the remarkable properties of the remainder of polynomial division modulo a Gröbner basis. We establish the existence of the sought after "normal form" of polynomials modulo an ideal. Hilbert's basis theorem falls into our lap. 0:00 Intro 0:11 Ideal of leading terms 2:48 Definition of Gröbner basis 3:48 Normal form modulo an ideal 7:31 Low hanging fruit 12:19 Normal form as residue == Relevant resources == Website for this lecture: https://emresertoz.com/cag/ Book for this section: Ideals, varieties, and algorithms by David Cox, Donal O'Shea, and John Little == General description == This video is part of my "Computational Algebraic Geometry" lecture series taking place in Leibniz University Hannover (Germany). Videos will be uploaded weekly on Monday and Wednesday afternoons during lecture times of the Winter Semester 2021/2022.