Give a geometric method of finding them, i.e. Use your description to explain why every nonzero complex number has exactly two square roots.curves are defined parametrically, we have to use the ParametricPlot function. Give a word description of the square function. Unfortunately, Mathematica doesnt include much in the line of nice.Now increase p from Pi to 2Pi and study the resulting plots. Then plot the segment of the line connecting the points We will have to use other devices.į(z) = z 2 as a map of one copy of the complex plane into another.Įnter the following command to define a vertical line in the complex plane, Lets look at an example of ParametricPlot.

Since both the domain and the range of such a function have dimension two - as a real space - the graph will be an object in real 4-space. The Mathematica command ParametricPlot is designed to do just such a plot. Parametric Plots with fillings Polar plots with fillings One way to go around a problem to make plots with filling is to use ParametricPlot Venn Diagrams Filling circles can be plotted using Graphics cammand. In this part we examine various graphical tools for representing complex functions of a complex variable. Mathematica Tutor Part 14: Graphical representations of complex functions

Parametricplot mathematica