On the Fundamental Theorem of Algebra
Tóm tắt
In the paper, it is shown how, by using the minimal means and without introducing complex numbers, one can prove the fundamental theorem of algebra for real polynomials. The fundamental theorem for polynomials with complex coefficients is an immediate corollary of the theorem mentioned.
Tài liệu tham khảo
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The Fundamental Theorem of Algebra, http://math.fullerton.edu/mathews/c2002/funtheorem/funtheorem.html.
Carl Friedrich Gauss (in Russian), ed. by I. M. Vinogradov, AN SSSR, Moscow (1956).
W. K. Bühler, Gauss (translation from English, in Russian), Nauka, Moscow (1989).
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