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Vector Analysis Package Guide
Vector Analysis Package
Frequently, physical systems exhibit special symmetries or structures that make a particular coordinate system especially useful. In a mathematically elegant solution to problems related to these systems, often the main step is choosing the correct coordinates. A variety of tools for doing calculus in various three-dimensional coordinate systems are provided in this package.
SetCoordinates set the default coordinate system
CoordinateSystem default coordinate system
Coordinates default variables in the default coordinate system
Bipolar  ▪ Bispherical  ▪ Cartesian  ▪ ...
CoordinateRanges interval over which the coordinate variables range
Parameters default parameters of the coordinate system
ParameterRanges range of values of the parameters of the coordinate system
Coordinate Transformations
CoordinatesToCartesian transform coordinates to Cartesian coordinates
CoordinatesFromCartesian transform coordinates from Cartesian coordinates
Vector Calculus
Div  ▪ Curl  ▪ Grad  ▪ Laplacian  ▪ Biharmonic
ArcLengthFactor derivative of the arc length along parameterized curve
JacobianMatrix derivative matrix of the coordinate transformation
JacobianDeterminant determinant of the Jacobian matrix
ScaleFactors list the scale factors