Analytic Functions of One Complex Variable (Contemporary Mathematics)

With the publication of this volume, the Chinese mathematical community is attempting to renew communication with the rest of the world. This collection of papers on complex analysis is a survey of the work of key researchers in China. It is only the first in a series of mathematical monographs which will keep western mathematicians abreast of research in modern China. It is hoped that this and subsequent volumes will promote scientific exchange between east and west.

Requiring as background only an upper-level undergraduate course in complex analysis, these expository papers survey the achievements and contributions of Chinese mathematical researchers distinguished in this field. Some new methods and trends are presented, as well as generalizations of many known results. Of particular note are the papers by Chuang and Yang on the distribution of values of meromorphic functions, Shen on approximation in the complex domain, and Wen on applications to nonlinear systems of partial differential equations.