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The Cantor Set and Mathematica
Authors

Steven R. Dunbar
Organization: University of Nebraska-Lincoln
Department: Department of Mathematics and Statistics
URL: http://www.math.unl.edu/~sdunbar/
David Fowler
Organization: University of Nebraska-Lincoln
Old MathSource #

0204-488
Revision date

1992-08-01
Description

This series of Mathematica notebooks provides a visual and analytic introduction to the Cantor set, the Cantor function, and some generalizations. The Cantor set is a standard example in advanced undergraduate and graduate courses in mathematical analysis and topology. The Cantor set is particularly well-suited for visualizing and experimenting with such mathematical topics as limits, alternate number bases and series, iterated-function systems, symmetry relations, derivatives, Riemann-Stieltjes integrals, Lebesgue measure, fractal dimension, Hausdorff dimension, similarity dimension, complex numbers, connectedness, and topological groups.
Subjects

*Education > College
*Mathematics > Discrete Mathematics > Cellular Automata
Keywords

Pure Math, cantor set, continuum, set theory, calculus, fractals, measure theory
Downloads Download Wolfram CDF Player

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README.txt (4.8 KB) - installation and authors' notes, plain-text
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Cantor0.nb (103.2 KB) - An historical preface
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Cantor1.nb (31.8 KB) - Several approaches to the Cantor set and generalizations notebook
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Cantor2.nb (53.4 KB) - The Cantor function and generalizations notebook
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Cantor3.nb (53.5 KB) - Lebesgue measure, dimension notebook
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CantorSet.nb (16 KB) - Mathematica package definitions
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README.rtf (5.1 KB) - installation and authors' notes, rich-text format

Files specific to Mathematica 2.2 version:
Download
Cantor0.ma (80.1 KB) - An historical preface
Download
Cantor1.ma (18.4 KB) - Several approaches to the Cantor set and generalizations notebook
Download
Cantor2.ma (30.9 KB) - The Cantor function and generalizations notebook
Download
CantorSet.ma (10.6 KB) - Mathematica package definitions