Abstract
Applications of the complex number system, sometimes referred to as complex variables, form an essential tool in many areas of Applied Mathematics. The complex number system can be viewed as a useful generalization of the familiar real number system. For, if the real number system can be thought of as the familiar properties of points — called real numbers — on the real line, then the complex number system can be thought of as the yet-to-be-examined properties of points — called complex numbers — of the complex plane, of which the real line is its abscissa. Properties of the complex number system are determined by the special manner in which complex numbers are combined, that is, added, multiplied, etc.
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