An almost algebraic proof of the fundamental theorem of algebra
David Kamali · Lund University Publications Student Papers (Lund University) · 2021
By the results of the Sylow theorems, algebraic extension theorems and Galois theory, we shall prove the fundamental theorem of algebra, which states that the set of complex numbers is algebraically closed. This process of abstraction will provide an almost algebraic proof of the theorem and thereby supply us with a tool in solving many questions within the field of mathematics.