On the Inverse Curvature Problem.

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Bibliographic Details
Title: On the Inverse Curvature Problem.
Authors: Glesser, Adam1 aglesser@fullerton.edu, Shade, James2 jpshade@csu.fullerton.edu, Suceavă, Bogdan D.3 bsuceava@fullerton.edu
Source: College Mathematics Journal. May2015, Vol. 46 Issue 3, p207-214. 8p.
Subject Terms: Inverse functions, Inverse problems, Calculus problems & exercises, Curvature measurements, Differential geometry
Abstract: The article discusses solutions to the inverse curvature problem in relation to the subject of calculus. Topics covered include computing for curvatures through differential equations and Chebyshev conditions, the origin of curvatures in describing shapes which was linked to the study "The Method of Fluxions and Infinite Series, with its Applications to the Geometry of Curved-Lines," and the significance of the inverse curvature problem in differential geometry.
Database: Education Research Complete
Description
Abstract:The article discusses solutions to the inverse curvature problem in relation to the subject of calculus. Topics covered include computing for curvatures through differential equations and Chebyshev conditions, the origin of curvatures in describing shapes which was linked to the study "The Method of Fluxions and Infinite Series, with its Applications to the Geometry of Curved-Lines," and the significance of the inverse curvature problem in differential geometry.
ISSN:07468342
DOI:10.4169/college.math.j.46.3.207