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.
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Für höhere Schule und Studium
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Höhe: 254 mm
Breite: 178 mm
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ISBN-13
978-0-8218-5050-3 (9780821850503)
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Schweitzer Klassifikation
On the inversion of a linear differential polynomial by C.-T. Chuang Distribution of the values of meromorphic functions by C.-T. Chuang and L. Yang A simple proof of a theorem of Fatou on the iteration and fix-points of transcendental entire functions by C.-T. Chuang Algebroid functions and their applications to ordinary differential equations by Y.-Z. He Summary of recent research accomplishments in value distribution theory at East China Normal University by R.-F. Lee, C.-J. Dai, and G.-D. Song Univalent functions by S.-Q. Liu and C.-T. Chuang Quasiconformal mappings by C.-Q. He and Z. Li Riemann surfaces by M.-Y. Zhang Approximation and interpolation in the complex domain by X.-C. Shen Dirichlet series by C.-Y. Yu Application of complex analysis to nonlinear elliptic systems of partial differential equations by G.-C. Wen Riemann zeta-function by N.-Y. Zhang and S.-Y. Zhang Application of the theory of functions of a complex variable to celestial mechanics by Z.-H. Yi Complex variable methods in elasticity by J.-K. Ju.
