Tensor calculus: unlearning vector calculus |
| |
| Authors: | Wha-Suck Lee Rita Moller |
| |
| Affiliation: | Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa |
| |
| Abstract: | Tensor calculus is critical in the study of the vector calculus of the surface of a body. Indeed, tensor calculus is a natural step-up for vector calculus. This paper presents some pitfalls of a traditional course in vector calculus in transitioning to tensor calculus. We show how a deeper emphasis on traditional topics such as the Jacobian can serve as a bridge for vector calculus into tensor calculus. |
| |
| Keywords: | Tensor calculus vector calculus |
|
|
