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The Cantor Set and Mathematica
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| Organization: | University of Nebraska-Lincoln |
| Department: | Department of Mathematics and Statistics |
| Organization: | University of Nebraska-Lincoln |
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0204-488
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1992-08-01
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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.
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Pure Math, cantor set, continuum, set theory, calculus, fractals, measure theory
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| README.txt (4.8 KB) - installation and authors' notes, plain-text | | Cantor0.nb (103.2 KB) - An historical preface | | Cantor1.nb (31.8 KB) - Several approaches to the Cantor set and generalizations notebook | | Cantor2.nb (53.4 KB) - The Cantor function and generalizations notebook | | Cantor3.nb (53.5 KB) - Lebesgue measure, dimension notebook | | CantorSet.nb (16 KB) - Mathematica package definitions | | README.rtf (5.1 KB) - installation and authors' notes, rich-text format |
Files specific to Mathematica 2.2 version:
| | Cantor0.ma (80.1 KB) - An historical preface | | Cantor1.ma (18.4 KB) - Several approaches to the Cantor set and generalizations notebook | | Cantor2.ma (30.9 KB) - The Cantor function and generalizations notebook | | CantorSet.ma (10.6 KB) - Mathematica package definitions |
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