By Kardi Teknomo, PhD .

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Complex Number is interesting because it unites many fields of mathematics such as Number Theory, Algebra, Euclidean and Polar Geometry, Trigonometry and Vector algebra, Function transformation and Fractal geometry. Complex number is useful for many engineering applications including transfer function of control theory and Fourier Transform, which in turn is one the most useful technique in digital image processing, signal processing, time series analysis and so on just to name a few. In this tutorial, you will learn the following:

What is Complex Number?

Complex Plane

Magnitude and Direction of A Complex Number

Four Ways to Represent Complex Numbers

Conjugate Complex

Arithmetic and Algebra of Complex Numbers

Complex Addition

Complex Subtraction

Complex Multiplication

Complex Division

Complex Power

Complex Root

Complex Exponent

Complex Natural Logarithm

Complex Linear Transformation

Fractal Geometry

Applications of Complex Number

Resources on Complex Number

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See Also : Continued Fraction , CryptArithmetic , Prime Number

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