Real Analysis Exchange

Measures of aberrancy.

Cameron Byerley and Russell A. Gordon

Full-text: Open access


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.

Article information

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

aberrancy curvature


Byerley, Cameron; Gordon, Russell A. Measures of aberrancy. Real Anal. Exchange 32 (2006), no. 1, 233--266.

Export citation