Mathematica Complex Numbers Tutorial

Z 2 3 i 2 3 â note that mathematica writes i in lowercase in the output.

Mathematica complex numbers tutorial. A 5 3i. So to assign 5 3i to a enter. D 2 4i. A 5 3 i.

Densityplot im arcsin x i y 2 x 2 2 y 2 2 out 3. Mathematica is set up to deal with complex numbers although there are some tricks one has to learn. Plot numbers on the complex plane. Visualize complex components with a densityplot.

Label the coordinates in the complex plane in either cartesian or polar forms. These tutorials can be found on the course website for. Sqrt 4d 2 â real imaginary parts magnitude absolute value argument and complex conjugate are obtained as follows. Plot the real and imaginary components of a function over the real numbers.

Mathematica uses the capital letter i to represent the square root of 1. C 3 i. Implement domain coloring for a complex function. The imaginary unit is denoted by i upper case eye in mathematica.

Enter the following lines of mathematica code and describe what each of the mathematica commands does. Complex numbers can be identified with three sets. Points on the plane denoted by reals set of all free vectors on the plane and the set of all ordered pairs of real numbers z x y where the first coordinate is denoted as ℜz x or rez and called for historical reasons real part of complex number z and the second coordinate is denoted as ℑz y or imz and called the imaginary part of complex number z. Polarplot absarg e i omega omega 0 pi out 2.

This tutorial is designed for those who have never used mathematica before and especially for those who have little to no experience with programing in general. All applicable mathematical functions support arbitrary precision evaluation for complex values of all parameters and symbolic operations automatically treat complex variables with full generality. B 2 4i. X i y the complex number.

Type sqrt 1 and you ll get the answer i you can use i in expressions. The complex number 2 3i is represented as 2 3 i in mathematica. Customize the styling and labeling of the real and imaginary parts. If you have some expereince you may wish to skip to some of the later tutorials on calculations and complex numbers.

The generic complex number x y i is written as x y i or equivalently x i y. Use absargin a polarplot. The simplest way to enter i square root of 1 is as i upper case i.