This Python script demonstrates how to compute key vector calculus operations—gradient, divergence, curl, and Laplacian—using symbolic computation in the SymPy library. These operations are widely ...

The original (unprimed) system must be Cartesian. The primed system must have a diagonal metric (ie, the primed basis must be orthogonal). The curl() operator is only calculated for 3D-to-3D ...

Vector calculus is a fascinating subject that allows us to understand dynamic behaviour in 3D space. It is a beautiful subject in its own right, with many deep and elegant results. It is also a ...

This module builds on MAST4014 Calculus and Differential Equations. The aim is to introduce the mathematical tools to perform calculations and apply these tools to interesting applications in physics.

We present a tensor description of Euclidean spaces that emphasizes the use of geometric vectors which leads to greater geometric insight and a higher degree of organization in analytical expressions.