Tensor calculus : unlearning vector calculus

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Authors

Lee, Wha-Suck
Engelbrecht, Johann
Moller, Rita

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Publisher

Taylor and Francis

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.

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Keywords

Tensor calculus, Vector calculus

Sustainable Development Goals

Citation

Wha-Suck Lee, Johann Engelbrecht & Rita Moller (2018) Tensor calculus: unlearning vector calculus, International Journal of Mathematical Education in Science and Technology, 49:2, 293-304, DOI: 10.1080/0020739X.2017.1357849.