Long the standard for high-quality function and surface visualization,
Mathematica incorporates a host of original numeric, symbolic and geometric algorithms that automate the immediate creation of highly aesthetic and technically correct 2D and 3D visualizations.
Plot — curves of one or more functions
f (x)
Plot3D — 3D surfaces of one or more functions
f (x, y)
ContourPlot — contour plot for a function
f (x, y) or curve
f (x, y)=c
ContourPlot3D — 3D contour plot for a function
f (x, y, z) or surface
f (x, y, z)=c
DensityPlot — density plot for a function
f (x, y)
ParametricPlot — 2D parametric curves or regions
ParametricPlot3D — 3D parametric curves or surfaces
RegionPlot — 2D regions defined by inequalities
RegionPlot3D — 3D regions defined by inequalities