Riemann面——平面上的空间结构

Riemann Surface--3-Dimension Construction on a Plane

Riemann面是复变函数课程中的一个很有特色的内容,也是学生学习中的一个难点。本文从代数和几何这两个视度,简单分析了Riemann面的作用。文中的描述,试图简单、直观、易懂,为初学者了解Riemann面,提供点滴直接的帮助。

Riemann surface is a characteristic content in the course of complex variable function, which is also a difficult point in teaching. Our paper, viewing the problem from both algebra and geometry, simply analyses the action of the Riemann surface. The description here is as simple and directive as possible. By this way, we wish that could provide a little help to the beginner.