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Plotting the Monsters of Real Analysis
Author

Gabriel Chenevert
Organization: Université de Montreal
Old MathSource #

0210-340
Revision date

2000-03-22
Description

This notebook intends to illustrate how one can use Mathematica to plot functions which are not well-behaved, the so-called "monsters" of analysis. Specifically, this notebook contains a plot of Riemann's function, which is continuous at each irrational and discontinuous at each rational, and of Van der Waerden's function, which is everywhere continuous but nowhere differentiable. The notebook Monsters.nb can be viewed by anybody using MathReader. The notebook MonstersUnevaluated.nb is smaller, but you have to evaluate the cells youself.
Subjects

*Mathematica Technology > Programming > Graphing and Plotting
*Mathematics > Calculus and Analysis
Keywords

Real analysis, monsters, Riemann's function, Van der Waarden's function, nowhere, differentiable function, plot
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Monsters.nb (446.6 KB) - Mathematica notebook
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MonstersUnevaluated.nb (24.9 KB) - Mathematica notebook