We present vectorialcalculus, an R package designed for teaching and analyzing three-dimensional vector calculus. The package integrates tools for sampling curves and surfaces, computing arc length, curvature, torsion, and line integrals, as well as producing both static and interactive visualizations through plotly. We describe its design and illustrate its use in educational and applied contexts. Figures and examples highlight its potential as a learning resource within R-based environments.

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vectorialcalculus: An R Package for Vector Calculus

  • Julián Mauricio Fajardo,
  • Julio Lizarazo Osorio

摘要

We present vectorialcalculus, an R package designed for teaching and analyzing three-dimensional vector calculus. The package integrates tools for sampling curves and surfaces, computing arc length, curvature, torsion, and line integrals, as well as producing both static and interactive visualizations through plotly. We describe its design and illustrate its use in educational and applied contexts. Figures and examples highlight its potential as a learning resource within R-based environments.