The Differential Equations in Euler’s Work on Geography

Charalampos Charitos ()
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Charalampos Charitos: Agricultural University, Mathematics Laboratory

Chapter Chapter 5 in Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert, 2022, pp 89-111 from Springer

Abstract: Abstract We present Euler’s method for the construction of geographical projections. In particular, we explain how Euler translated natural hypotheses on geographical maps into a system of differential equations whose solution permits the construction of projections from the 2-sphere into the plane.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-09570-2_5

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DOI: 10.1007/978-3-031-09570-2_5

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