APPENDIX A

MATHEMATICAL REVIEW

A-1 FUNCTIONS OF A COMPLEX VARIABLE

Definition:

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i or j is also used to indicate reactive components in electrical circuits; i is used in nonelectrical work. A complex number such as

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or

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can be shown in the complex plane as in Figure A-1. This is called the rectangular form. The magnitude M, as well as the direction or angle θ, can be computed from

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or

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and

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Figure A1 Complex plane showing a complex number as the sum of two components.

or

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This is called the polar form. The conversion from one form to the other is achieved by

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and

This is the same as

as

We can ...

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