Abstract
The field of complex numbers, or the complex plane, denoted by \( \mathbb{C} \), is just the usual Euclidean plane \( \mathbb{R}^{2} \) endowed with the additional operation of multiplication of vectors defined as follows: for (x1,y1) and (x2,y2) in \( \mathbb{R}^{2} \) let
Notice that if y1 = 0, the above operation is simply the scaling of the vector (x2,y2) by x1.
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Isaev, A. (2017). Complex Numbers. The Fundamental Theorem of Algebra. In: Twenty-One Lectures on Complex Analysis. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-68170-2_1
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DOI: https://doi.org/10.1007/978-3-319-68170-2_1
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