Historical analysis of System of Equations-Focused on Resultant

연립방정식 풀이의 역사발생적 고찰-종결식을 중심으로

  • Choi, Eun Mi (Department of Mathematics, Hannam University)
  • Received : 2013.04.27
  • Accepted : 2013.05.21
  • Published : 2013.05.31


The history of finding solutions of linear equations went back to some thousand years ago, and has been steadily developed to solve systems of higher degree polynomials. The method to eliminate variables came into use around the 17th and 18th century. This technique has been extended to the resultant theory that was laid in the 19th century by outstanding mathematicians as Euler, Sylvester, and B$\acute{e}$zout. In this paper we discuss the historical reflection about the development of solving system of polynomials. We add a special emphasis on E. B$\acute{e}$zout who gave the first account on the resultant which is a generalization of discriminant and Gauss elimination method.


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