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Analytic Functions of One Complex Variable
 
Analytic Functions of One Complex Variable
eBook ISBN:  978-0-8218-7633-6
Product Code:  CONM/48.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Analytic Functions of One Complex Variable
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Analytic Functions of One Complex Variable
eBook ISBN:  978-0-8218-7633-6
Product Code:  CONM/48.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 481986; 254 pp
    MSC: Primary 30

    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.

  • Table of Contents
     
     
    • Articles
    • Chi Tai Chuang — On the inversion of a linear differential polynomial [ MR 838097 ]
    • Chi Tai Chuang and Lo Yang — Distributions of the values of meromorphic functions [ MR 838098 ]
    • Chi Tai Chuang — A simple proof of a theorem of Fatou on the iteration and fix-points of transcendental entire functions [ MR 838099 ]
    • Yu Zan He — Algebroid functions and their applications to ordinary differential equations [ MR 838100 ]
    • R. F. Lee, C. J. Dai and G. D. Song — Summary of recent research accomplishments in value distribution theory at East China Normal University [ MR 838101 ]
    • Shu Qin Liu and Chi Tai Chuang — Univalent functions [ MR 838102 ]
    • Cheng Qi He and Zhong Li — Quasiconformal mappings [ MR 838103 ]
    • Ming Yong Zhang — Riemann surfaces [ MR 838104 ]
    • Xie Chang Shen — Approximation and interpolation in the complex domain [ MR 838105 ]
    • Chia Yung Yu — Dirichlet series [ MR 838106 ]
    • Guo Chun Wen — Applications of complex analysis to nonlinear elliptic systems of partial differential equations [ MR 838107 ]
    • Nan Yue Zhang and Shun Yan Zhang — Riemann zeta-function [ MR 838108 ]
    • Zhao Hua Yi — Application of the theory of functions of a complex variable to celestial mechanics [ MR 838109 ]
    • Jian-ke Lu — Complex Variable Methods in Elasticity
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 481986; 254 pp
MSC: Primary 30

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.

  • Articles
  • Chi Tai Chuang — On the inversion of a linear differential polynomial [ MR 838097 ]
  • Chi Tai Chuang and Lo Yang — Distributions of the values of meromorphic functions [ MR 838098 ]
  • Chi Tai Chuang — A simple proof of a theorem of Fatou on the iteration and fix-points of transcendental entire functions [ MR 838099 ]
  • Yu Zan He — Algebroid functions and their applications to ordinary differential equations [ MR 838100 ]
  • R. F. Lee, C. J. Dai and G. D. Song — Summary of recent research accomplishments in value distribution theory at East China Normal University [ MR 838101 ]
  • Shu Qin Liu and Chi Tai Chuang — Univalent functions [ MR 838102 ]
  • Cheng Qi He and Zhong Li — Quasiconformal mappings [ MR 838103 ]
  • Ming Yong Zhang — Riemann surfaces [ MR 838104 ]
  • Xie Chang Shen — Approximation and interpolation in the complex domain [ MR 838105 ]
  • Chia Yung Yu — Dirichlet series [ MR 838106 ]
  • Guo Chun Wen — Applications of complex analysis to nonlinear elliptic systems of partial differential equations [ MR 838107 ]
  • Nan Yue Zhang and Shun Yan Zhang — Riemann zeta-function [ MR 838108 ]
  • Zhao Hua Yi — Application of the theory of functions of a complex variable to celestial mechanics [ MR 838109 ]
  • Jian-ke Lu — Complex Variable Methods in Elasticity
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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