Elements of Complex Variables

The complex number jS = a + ib is made up of two parts the real part is a 

Henceforth, bars around a variable shall denote magnitude. The angle that s makes with the real axis is called the argument or simply the angle As (the angle corresponding to the complex variable s) 

When o) = 0, s becomes identical to r and can be treated as a real variable. When this happens, the processes of integration, differentiation, and so forth. 

The product of two complex variables can always be reduced to a new complex variable, containing a real plus imaginary part 

Division by complex numbers calls upon using the complex conjugate definition 

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