Vector Calculus

Richard H. Enns and George C. McGuire
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Richard H. Enns: Simon Fraser University, Department of Physics
George C. McGuire: University College of the Fraser Valley, Department of Physics

Chapter Chapter 3 in Computer Algebra Recipes for Classical Mechanics, 2003, pp 103-134 from Springer

Abstract: Abstract In the Appetizers, the recipes made use of Cartesian coordinates. Depending on the underlying spatial symmetry, other orthogonal curvilinear coordinate systems may prove more useful in trying to solve certain mechanics problems. In the following three recipes, we illustrate kinematics in plane polar and spherical polar coordinates and how to generate “scale factors” for calculating area and volume elements, gradients, Laplacians, etc., in toroidal coordinates.

Keywords: Rain Water; Vector Operator; Hiding Place; Acceleration Magnitude; Rival Gang (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0013-0_4

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DOI: 10.1007/978-1-4612-0013-0_4

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