Abstract
Geographers and climate scientists alike sometimes need to estimate the area of a large region on the surface of the Earth, such as the polar ice caps. Doing so using only a sequence of latitude–longitude data points along a piecewiselinear approximation of the boundary of the region can be accomplished via a novel use of Stokes’s theorem that generalizes classical and contemporary applications of Green’s theorem to data. The polar ice caps are seen to hide a complication that makes their estimation from data singularly interesting.
Original language  English (US) 

Pages (fromto)  830834 
Number of pages  5 
Journal  American Mathematical Monthly 
Volume  125 
Issue number  9 
DOIs 

State  Published  Oct 21 2018 
Keywords
 MSC: Primary 58C35
ASJC Scopus subject areas
 Mathematics(all)
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Cite this
Baryshnikov, Y., & Ghrist, R. (2018). Stokes’s Theorem, Data, and the Polar Ice Caps. American Mathematical Monthly, 125(9), 830834. https://doi.org/10.1080/00029890.2018.1506670