Tensor calculus: unlearning vector calculus

• Wha-Suck Lee ^[1] ; Johann Engelbrecht ^[1] ; Rita Moller ^[1]
  1. [1] University of Pretoria

     University of Pretoria

     City of Tshwane, Sudáfrica

     
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 49, Nº. 2, 2018, págs. 293-304
• Idioma: inglés
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• Resumen

  • 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.