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fredmartin43

Complex Numbers: The Misleading Story

Complex numbers are necessary for algebraic closure - that is, to ensure that every polynomial equation has a solution. The scheme is brilliant and rigorous, but its presentation is highly misleading. Complex numbers are not a natural extension of the real numbers, as mathematicians claim, but a formal patch. This video outlines how the standard story distorts the facts, explores the consequences of this distortion, and suggests an alternative approach. For an introduction to complex numbers, I recommend the YouTube videos by Derek Owens.
Complex numbers are necessary for algebraic closure - that is, to ensure that every polynomial equation has a solution. The scheme is brilliant and rigorous, but its presentation is highly misleading. Complex numbers are not a natural extension ...
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