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                    Mathematica-Compatible Notebook

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Notebook[{

Cell[CellGroupData[{
Cell["Mathematica Graphics - 2", "Title"],

Cell["\<\
Bernd Thaller
Institute of Mathematics
University of Graz
Austria
03-24-1999\
\>", "Subsubtitle"],

Cell[CellGroupData[{

Cell["Literatur:", "Subsection"],

Cell[TextData[{
  "Tom Wickham-Jones: Mathematica Graphics - Techniques, Applications. TELOS, \
Springer Verlag 1994\n\n",
  StyleBox["Stephen", "SR"],
  " ",
  StyleBox[
  "Wolfram: The Mathematica book\[NonBreakingSpace]\[LongDash]\
\[NonBreakingSpace]4th ed. Wolfram Research, 1999\n", "SR"]
}], "Text"]
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Cell["ContourPlot and DensityPlot", "Section"],

Cell["\<\
These commands are used for plotting functions f[x,y] of two \
variables. ContourPlot shows the level sets of the function f, i.e., the \
solutions x, y of the equation f[x,y]=c for certain values of c. For \
functions which vary rapidly, DensityPlot with high resolution is more \
appropriate.\
\>", "Text"],

Cell[CellGroupData[{

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Cell[CellGroupData[{

Cell[BoxData[
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  CellLabel->"In[84]:="],

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Cell["Plot3D", "Section"],

Cell["\<\
Plot3D generates a three-dimensional surface graphics of a function \
f[x,y] of two variables.\
\>", "Text"],

Cell[CellGroupData[{

Cell[BoxData[
    \(gr3d\  = \ 
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  CellLabel->"In[120]:="],

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"Note that the graphics objects returned by these plotting commands are  \
called\n\[SkeletonIndicator]ContourGraphics\[SkeletonIndicator], \
\[SkeletonIndicator]DensityGraphics\[SkeletonIndicator], and \
\[SkeletonIndicator]SurfaceGraphics\[SkeletonIndicator]\nThey all refer to \
plots of functions of two variables, and can be converted into each other:\n\
"], "Text"],

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Cell["\<\
dgr = DensityPlot[Abs[Sin[x+ I y]], \
{x,-Pi,Pi},{y,-1,1.5},PlotPoints->30]\
\>", "Input",
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  FormatType->InputForm],

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Cell[CellGroupData[{

Cell["ColorFunction", "Section"],

Cell[CellGroupData[{

Cell["\<\
DensityPlot[Sin[x^2 + y^2],{x,-Pi,Pi},{y,-Pi,Pi}, PlotPoints->50, \
Mesh->False,ColorFunction->(Hue[#,#,#]&)]\
\>", "Input",
  CellLabel->"In[35]:="],

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  CellLabel->"Out[35]="]
}, Open  ]],

Cell["\<\
Note that the values of the function to be plotted are scaled to \
the interval [0,1] before they are passed as arguments to the \
colorfunction.\
\>", "Text"]
}, Open  ]]
}, Open  ]]
},
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00000000000000000000000000000000\>"
]


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End of Mathematica Notebook file.
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