When Does Water Find the Shortest Path Downhill? The Geometry of Steepest Descent Curves

DOI10.2307/3647959zbMath1076.53002OpenAlexW4229803924MaRDI QIDQ4469084

Stephen A. Williams, Daniel Drucker

Publication date: 14 June 2004

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3647959

zbMATH Keywords

geodesicsgradient lineslines of steepest descent

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonlinear elliptic equations (35J60) Surfaces in Euclidean and related spaces (53A05) Incompressible inviscid fluids (76B99) Teaching mathematical problem solving and heuristic strategies (97D50)

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