论文标题
二维空间中的矢量演算
Vector calculus in two-dimensional space
论文作者
论文摘要
三维空间中的矢量计算在物理和工程中的数学应用中无处不在。但是，它的二维版本非常罕见。在这里，我们试图提供有关该主题的教学记录。它基于差异形式理论的逻辑。对于不熟悉后者的读者，结果以标准语言和符号详细介绍。
Vector calculus in three-dimensional space is ubiquitous in applications of mathematics in physics and engineering. Its two-dimensional version is, however, quite rare. Here we try to provide a pedagogical account of the subject. It is based on the logic of theory of differential forms. For readers not familiar with the latter, the results are presented in detail in the standard language and notations.
