多边形的面积及复函数的二重积分

journal6 ›› 2010, Vol. 31 ›› Issue (2): 18-21.

多边形的面积及复函数的二重积分

（1.上海大学数学系，上海200444；2.上海财经大学统计系，上海200433；3.中国人民大学，北京100872）

出版日期:2010-03-25 发布日期:2012-04-18
作者简介:黄益如（1955- ），男，江苏海门人，上海大学数学系教授，主要从事组合数论研究.
基金资助:
上海市教委重点学科发展基金（J5003）

Area of a Polygon and Double Integration of a Complex Function

(1.College of Sciences,Shanghai University,Shanghai 200444,China；2.Department of Statistics,Shanghai University of Finance and Economics,Shanghai 200433,China;3.People’s University of China,Beijing 100872,China)

Online:2010-03-25 Published:2012-04-18

摘要/Abstract

摘要：由数论中格点多边形的一个面积公式引出了它的复函数的二重积分表示式，再由多边形面积的解析几何表达式引出了围道积分公式，然后初步探讨了复函数的二重积分.

关键词： 多边形, 整复数, p分格点, 二重积分

Abstract: The authors deduce a formula of the area of a grid point ploygon in the form of complex double integration by means of a formula of the area of a grid point polygon in number theory.In addition the authors derive the formula of integral round a contour via the expression of the area of polugon in analytic set form.And the complex double integration is studied briefly.

Key words: polygon, complex integer, p-grid point, double integration

黄益如, 许承德, 朱潇昀, 刘燕平. 多边形的面积及复函数的二重积分[J]. journal6, 2010, 31(2): 18-21.

HUANG Yi-Ru, XU Cheng-De, ZHU Xiao-Yun, LIU Yan-Ping. Area of a Polygon and Double Integration of a Complex Function[J]. journal6, 2010, 31(2): 18-21.