复变函数引论

目 录内容简介
For several years, I have been conducting courses in Complex Analysis, Real Analysis and Functional Analysis in a so-called "bilingual" way. That is, the lessons are given with Chinese textbooks, but mainly teached.in English. The main purpose of teaching in this way is to improve the undergraduate students' ability to read and write English. Using a Chinese textbook in such "bilingual" courses is not, however, useful for training students' ability of English thinking. Consequently, although there are a number of books on complex analysis in Chinese, in order to meet the requirements of bilingual teaching, it is necessary to write a textbook on complex analysis in.English for Chinese undergraduate students. This is just the main aim of compiling the present book.
Roughly, analysis may be characterized as the study of functions and their various generalilzations by using limits. In Mathematical Analysis, or Calculus,real-valued continuous functions of real variables were mainly discussed. Complex Analysis, or theory of functions of one complex variable, is devoted to the study of analytic complex-valued functions of one complex variable. The main tool used in complex analysis may be the theory ofintegrals.
Roughly, analysis may be characterized as the study of functions and their various generalilzations by using limits. In Mathematical Analysis, or Calculus,real-valued continuous functions of real variables were mainly discussed. Complex Analysis, or theory of functions of one complex variable, is devoted to the study of analytic complex-valued functions of one complex variable. The main tool used in complex analysis may be the theory ofintegrals.
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