Tensor calculus: unlearning vector calculus

被引：0

作者：

Lee, Wha-Suck ^{[1
]}

Engelbrecht, Johann ^{[2
]}

Moller, Rita ^{[1
]}

机构：

[1] Univ Pretoria, Dept Math & Appl Math, Pretoria, South Africa

[2] Univ Pretoria, Dept Sci Math & Technol Educ, Pretoria, South Africa

来源：

INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY | 2018年 / 49卷 / 02期

关键词：

Tensor calculus; vector calculus;

D O I：

10.1080/0020739X.2017.1357849

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

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.

引用

页码：293 / 304

页数：14

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