Mathematica 9 is now available
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE DOCUMENTATION CENTER FOR THE LATEST INFORMATION.
Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
New to Mathematica? Find your learning path »
Virtual Book > Mathematics and Algorithms > Numbers > Complex Numbers >
MATHEMATICA TUTORIAL
Related Tutorials »|Functions »

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 Esc ii Esc (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]:=
Click for copyable input
Out[1]=
This gives the ratio of two complex numbers.
In[2]:=
Click for copyable input
Out[2]=
Here is the numerical value of a complex exponential.
In[3]:=
Click for copyable input
Out[3]=
x+I ythe 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.

Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team
Format:   HTML  |  CDF