Real Analysis Exchange
- Real Anal. Exchange
- Volume 32, Number 1 (2006), 233-266.
Measures of aberrancy.
In much the same way that curvature provides a measure of the nonlinearity of a curve, aberrancy provides a measure of the noncircularity of a curve. Curvature can be defined in several ways, but they all result in the same formula. In contrast, different approaches to aberrancy yield different formulas. We consider a number of different approaches to aberrancy and show that there are some interesting and unexpected connections between them. This is a largely unexplored concept that can be used to generate projects for students in real analysis and calculus.
Real Anal. Exchange, Volume 32, Number 1 (2006), 233-266.
First available in Project Euclid: 17 July 2007
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 26A06: One-variable calculus
Byerley, Cameron; Gordon, Russell A. Measures of aberrancy. Real Anal. Exchange 32 (2006), no. 1, 233--266. https://projecteuclid.org/euclid.rae/1184700050