Complex Numbers

By M Bourne

fractal image
Fractals are computer-generated art using complex numbers.
See more at: Fractals.

How Complex can Numbers Get?

What are complex numbers ? What are they good for?

AC circuit

Application: You are designing a simple AC circuit and you need to know the voltage across different parts of the circuit.

Perhaps you need to know what AC voltage to apply to the circuit, given that the current in the circuit needs to be 10 A.

How do you do it? What do you need to know?

To solve this problem, you need to know about complex numbers. When you finish studying this section, you will know a lot about complex numbers and their applications.

[You can see how to solve this electronics problem starting at AC Circuit Definitions.]

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Survival Tips

Before trying to study complex numbers, it's a good idea to go back over these topics:

Quadratic Equations

Radicals (also called surds), especially Addition and Subtraction and Multiplication and Division of surds.

Radians (an alternative way of measuring angles).

Helpful Vocabulary

For a complete list of vocabulary in this section (this includes words you have met already and new words that you will learn in this section), go to:

Complex Numbers Vocabulary.

The chapter begins with Basic Definitions »