中文摘要：

利用社会网络分析方法，研究国际数学领域作者合作关系。选择以著名数学家Paul Erd？s为核心的庞大的国际数学家合著网络进行实证研究。构建可视化合著网络以研究国际数学领域的合著现象。通过实证研究，揭示出国际数学领域作者合著网络的特点现状，评价了数学家在合著网络中的地位，指出了合著网络中核心作者，发现了合著网络中的联系紧密的团体。

英文摘要：

This paper is focus on the status of the colaboration in the international mathematics field by using the method of social network analysis. Choose the enormous international mathematician coauthoring network centering the notable mathematician Paul Erd？s to study. Build visualizable coauthoring network to study the international mathematical coauthoring phenomenon. Through the study,it reveals the features and the status of the coauthoring network,evaluates the status of mathematician in the network,distinguishes key authors in the network,and discovers several subgroups with close links between their members.