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PreCalculus: Complex Numbers Notes

These notes cover the mathematical system of Complex Numbers, beginning with the rigorous construction of the field C\mathbb{C} from the Cartesian product of the reals. The text advances through the geometric interpretation of the Argand plane, the topology of the complex field (modulus, inequalities), polar representation including De Moivre’s Theorem, and concludes with nn-th roots of unity and the complex exponential function.

Notes

The Complex Numbers

Recommendations

Complex Numbers (Oxford University Mathematical Institute)