Algebraically closed field


a field in which every polynomial equation with coefficients that are elements of the field has at least one root in the field, as the field of complex numbers.

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    an expert in . Historical Examples Like the great French algebraist, Vieta, from whom he drew much of his inspiration, he was an amateur mathematician. William Oughtred Florian Cajori The problem is of course (as any algebraist sees at once) a case of “simultaneous simple equations.” A Tangled Tale Lewis Carroll

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