Complex Numbers

You can enter complex numbers in Mathematica just by including the constant I, equal to . Make sure that you type a capital I.

If you are using notebooks, you can also enter I as by typing EsciiEsc (see "Mathematical Notation in Notebooks: Numerical Calculations"). The form is normally what is used in output. Note that an ordinary means a variable named , not .

This gives the imaginary number result .

In[1]:=

Out[1]=

In[2]:=

Out[2]=

In[3]:=

Out[3]=

x+I y	the complex number
Re[z]	real part
Im[z]	imaginary part
Conjugate[z]	complex conjugate or
Abs[z]	absolute value
Arg[z]	the argument in

Complex number operations.