Chapter1

Mathematical Foundations of Complex Numbers (CN)

The equation   has no solution in the set of real numbers Ɽ. Solving it requires the square roots of a negative number, which led to the invention of complex numbers. In Ȼ, the set of complex numbers, it has two solutions:  and , with .
The notation
 was introduced by Euler, the great Swiss mathematician. In this document, however, we will use  instead of . In electrical engineering,  is commonly used to denote electric current intensity


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