New generalized unit vectors in Physics:-Vectors

 

The Physics:-Vectors package, written many years ago to teach Vector Analysis to 1st year undergrad students in Physics courses, introduces several things that are unique in computer algebra software. Briefly, this package has the ability to compute sums, dot and cross products, and differentiation with

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abstract vectors, like `#mover(mi("A"),mo("→"))` or `#mover(mi("A"),mo("→"))`(x, y, z), symbols or functions with an arrow on top that indicates to the system that they are vectors, not scalars;

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projected vectors of algebraic (non-matrix) type in any of the Cartesian, cylindrical or spherical basis and/or associated systems of coordinates, including for that purpose an implementation of the corresponding unit vectors of the three bases;

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abstract or projected differential operators that involve Nabla, Gradient, Divergence, Laplacian and Curl;

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inert vectors or vectorial differential operators, including related expansion of operations and simplification; 

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path, surface and volume vector integrals.

 

In addition to the above, the display is as in textbooks, the input resembles paper and pencil handwriting, and examples of the use of Physics:-Vectors in Vector Analysis are presented in the Physics,Examples page.

 

Download New_generalized_unit_vectors.mw

Edgardo S. Cheb-Terrab
Physics, Differential Equations and Mathematical Functions, Maplesoft


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