Riemann面——平面上的空间结构
Riemann Surface—3-Dimension Construction on a Plane

作者: 丁 韫 , 杨晓春 :大连海事大学数学系,大连;

关键词: Riemann面结构一一对应Riemann Surface Construction One-to-One Transformation

摘要:
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。

Abstract:
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.

文章引用: 丁 韫 , 杨晓春 (2014) Riemann面——平面上的空间结构。 理论数学, 4, 65-69. doi: 10.12677/PM.2014.42010

参考文献

[1] 普里瓦诺夫 (1981) 复变函数论. 人民教育出版社, 北京.

[2] 路见可, 钟寿国, 刘世强 (1987) 复变函数. 武汉大学出版社, 武汉.

[3] 莫叶 (1979) 复变函数论. 山东科学技术出版社, 济南.

[4] 钟玉泉 (1981) 复变函数. 高等教育出版社, 北京.

[5] Ahlfors, L.V. (1979) Complex Analysis. McGraw-Hill Book Co., New York.

[6] Rudin, W. (1987) Real and Complex Analysis. The McGraw-Hill Companies, Inc., New York.

[7] Cowway, J.B. (2004) Functions of One Complex Variable. World Publishing Corporation, Beijing.

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