Appendix:
Representing complex numbers using amplitude and argument

Here we will explain the amplitude and argument used in the complex number notation in each chapter.

The complex number C=a+jb can be expressed as follows using the amplitude r and argument φ:

The relationship between the parameters can be illustrated on the complex plane as follows: Here, the sign of the angle is again positive in the counterclockwise direction and negative in the clockwise direction.

(i) When a > 0,

(ii) When a < 0 and b ≥ 0,

(iii) When a < 0 and b < 0,

Appendix: Representing complex numbers using amplitude and argument

Appendix:
Representing complex numbers using amplitude and argument