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Euclidean Curve Theory
Author

Rolf Sulanke
Organization: Humboldt-University Berlin
Department: Mathematics
URL: http://www-irm.mathematik.hu-berlin.de/~sulanke
Revision date

2010-13-15
Description

The article "The Fundamental Theorem for Curves in the n-Dimensional Euclidean Space" contains a complete proof of the theorem and the necessary conceptual background. It is accompanied by the notebook Eucurves.nb treating curves in 2, 3, 4, and n dimensions; an overview of the content can be seen in the pdf-File EuCurves.nb.pdf:
http://www-irm.mathematik.hu-berlin.de/~sulanke/diffgeo/euklid/EuCurves.nb.pdf

This notebook and the necessary packages are collected in the file eucurves.tgz:
http://www-irm.mathematik.hu-berlin.de/~sulanke/diffgeo/euklid/eucurves.tgz
Subjects

*Education
*Education > Graduate
*Mathematics
*Mathematics > Calculus and Analysis
*Mathematics > Calculus and Analysis > Differential Geometry
*Mathematics > Geometry
*Mathematics > Geometry > n-Dimensional Geometry
Keywords

arclength, smooth curves in the n-space, osculationg spaces, curvatures, torsion, curves of constant curvatures, Frenet formulas
Downloads

Download
ECTh.pdf (265.7 KB) - PDF Document
Download
EuCurves.nb.pdf (52.9 KB) - PDF Document
Download
eucurves.tgz (54.4 KB) - TAR/GZIP archive