SIAM Undergraduate Research Online
Volume 1, Issue 1
In This Volume

Expository: Moving Forward by Traveling in Circles
Published electronically August 22, 2008DOI: 10.1137/08S010050
Authors
Stuart Boersma (Central Washington University)
Project Advisors
Abstract
The purpose of this paper is to introduce the reader to the mathematical construct known as holonomy. Holonomy is a measurement of the change in a certain angle as one travels along a curve. For this paper, we will consider two physical situations which involve "traveling in a circle" and comparing an initial and final measurement of an angle. In the first case we will see how this angular displacement can be used to prove that the Earth rotates! In the second example we explore the workings of a nineteenth century cartographic instrument. In both cases, traveling in circles yields interesting mathematical information.

The Potential of Tidal Power from the Bay of Fundy
Published electronically July 11, 2008 
A Simple Expression for Multivariate Lagrange Interpolation
Published electronically July 2, 2008 
Testing the Benford Property
Published electronically July 2, 2008
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