Carl Friedrich Gauss

Bartel Leenert van der Waerden
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Bartel Leenert van der Waerden: Universität Zürich, Mathematisches Institut

Chapter Chapter 5 in A History of Algebra, 1985, pp 89-102 from Springer

Abstract: Abstract The most important contributions of Gauss to the theory of algebraic equations are: first, the complete solution of the “cyclotomic equation” (1) $$ {x^m} - 1 = 0 $$ by means of radicals, second, the proof that every polynomial in one variable with real coefficients is a product of linear and quadratic factors. This theorem implies what we now call the “fundamental theorem of algebra”: Every polynomial f(x) with complex coefficients is a product of linear factors.

Keywords: Fundamental Theorem; Complex Root; Regular Polygon; Linear Factor; Complex Coefficient (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-3-642-51599-6_5

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