Tschirnhausen变换[Tschirnhausen Transformation] - 达人(其实～我是卧底，来自外星)

2005/08/15 | Tschirnhausen变换[Tschirnhausen Transformation]
类别(∑〖数学〗) | 评论(2) | 阅读(92) | 发表于 20:42: A transformation of a polynomial equation which is of the form where and are polynomials and does not vanish at a root of . The cubic equation is a special case of such a transformation. Tschirnhaus (1683) showed that a polynomial of degree can be reduced to a form in which the and terms have 0 coefficients. In 1786, E. S. Bring showed that a general quintic equation can be reduced to the form

In 1834, G. B. Jerrard showed that a Tschirnhaus transformation can be used to eliminate the , and terms for a general polynomial equation of degree .; 0