Another topological proof of the Fundamental Theorem of Algebra
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چکیده
منابع مشابه
Another Proof of the Fundamental Theorem of Algebra
Theorem 1 (Fundamental Theorem of Algebra). Every non-constant polynomial with complex coefficients has a root in C. This is the strategy of the proof. Let Xn ' C be the space of degree n monic polynomials with complex coefficients, via the identification (a1, ..., an) 7→ z + ∑n i=1 aiz . Let D ⊂ Xn be the zero locus of the discriminant, and let R ⊂ Xn \ D be the set of polynomials with non-zer...
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ژورنال
عنوان ژورنال: Elemente der Mathematik
سال: 2002
ISSN: 0013-6018
DOI: 10.1007/pl00000557