Article ID Journal Published Year Pages File Type
4585223 Journal of Algebra 2013 6 Pages PDF
Abstract

We present a constructive analysis of Laplaceʼs proof that the field of complex numbers is algebraically closed. This proof was criticized by Gauss, who presented later a rigorous and constructive version of this proof. Our argument is different, and closer to the one of Laplace.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory