# Introduction à la relativité restreinte : Cours et exercices by Jean Hladik, Michel Chrysos

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42 A B R I E F 0 V E R V I E W 0 F M A T H EM A T I C A In[4J. ' The function DensityPlot is also used to represent functions of two variables. In a DensityPlot, the darker the area, the deeper that point is in a trough; lighter areas represent peaks. =DensityPlot[z[x, y], {x, -2Pi, 2Pi}, {y, -2Pi, 2Pi}. PlotFoints->150, Mesh->False] Graphics I 43 Just as we plotted parametric curves in the plane, so can we plot 3dimensional surfaces parametrically. Here is a plot ofthe famous Mobius band, obtained by taking a long sheet, putting a half-twist in it and connecting the two short ends.

To start up Mathematica from the command line, open a shell and type the word math. 2 for NeXT Copyright 1988-93 Wolfram Research, Inc. - NeXT graphics initialized - ln[l] := Input can now be typed and evaluated by pressing the Return key after inputting your expression at the command line. 2 for NeXT Copyright 1988-93 Wolfram Research, Inc. 14159265358979323846264338327950288 In[2]:= To terminate the Mathematica session, type Quit at the command line. Facilities are available for saving sessions and graphic images to files.

The SetAttributes function is used to change the attributes of a function. We will see a use of SetAttributes in Chapter 8. 1 I The Notebook Front End On many systems, such as the Macintosh, NeXT, and Windows, a graphical user interface, called the Notebook Front End, is available to the user of Mathematica. To start Mathematica on such a system, the user will have to find and then double-click on the Mathematica icon, which will look something like the following: The computer will then load parts of Mathematica into its memory and soon a blank window will appear on the screen.