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的函数论方法与亏指标理论。Tichmarsh's functional method and the deficiency index theory.

赋环空间是几何函数论的最新发展。The ringed space is a recent development of the geometric function theory.

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实变函数论是现代分析必不可少的理论基础。Functions of real variable is an essential basic theory in modern analysis.

在复变函数论中，用了两种不同的方法证明了代数基本定理。This paper sums up the proof of algebra fundamental theorem from complex points.

运用复变函数论方法处理了二维流动。Two-dimensional flow was dealt with using the method of functions of complex variables.

应用复变函数论的方法，简洁地给出了的一切有理数解和一切整数解公式。In this paper, the general rational solutions and the general integer solutions of are given.

应用复变函数论的方法，简洁地给出了的一切有理数解和一切整数解公式。And utilize rational integral formula solution to solve the predicting value of ground settlements.

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同时，对实变函数论课程教学内容改革相关的问题作了探讨。Meanwhile, they discuss some relative problems of reform about teaching contests in the course of Real Analysis.

1957年从法国归来的熊庆来先生负责建立了函数论研究组。In 1957, Professor Xiong Qinglai, who returned from France, founded the research group of the theory of functions.

本文从四个方面论述了在复变函数论课堂教学中如何培养学生的创造性思维。In This paper, the author makes a discussion on how to train creative thinking in classroom teaching of Complex Function.

亚纯函数与整函数的分解理论是单复变函数论中一个令人感兴趣的课题。The factorization theory of meromorphic and entire functions is one of interesting problems in complex analytic function theory.

采用复变函数论的方法，对复合材料的非对称动态扩展裂纹问题进行研究。By the theory of complex functions, asymmetrically dynamic propagation crack problems concerning composite materials are researched.

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复变函数论的方法，对复合材料的圆盘状裂纹的轴对称性扩展问题进行研究。By the theory of complex functions, a penny-shaped crack on axially symmetric propagating problems for composite materials was studied.

采用复变函数论，对反平面条件下的动态裂纹扩展问题进行研究。By the application of complex functions theory, the dynamic crack propagation problems under the condition of anti-plane were investigated.

今天高等数学有许多分支，其中就包括数学分析，高等代数，微分方程，函数论等等。Now there are many branches in higher mathematics, among which are mathematical analysis, higher algebra, differential equations, function theory and so on.

课程目标通过本课程的教学，应使学生了解与掌握变函数论基础和数学物理方程基础，为后续专业课的学习做好准备。Purpose The teaching of this course should make students recognize and master the base of complex variable function, the base of mathematical and physical equation.

本文主要介绍了偏微分方程一些边值问题的函数论方法。In this paper, we attempt to introduce mainly the solvability of several boundary value problems for partial differential equations by using function theoretic methods.

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数学课程的主题情境分析可以给学习者导引出一个整体思路及框架，有利于实变函数论课程的教学与学习。The analysis of subject context in the mathematics course gives the learners a complete thinking and frame, which is good for the teaching and studying of Real Variable Function Theoty.

从教学管理和内容处理等方面阐述作为分析学课群主要组成的实变函数论与泛函分析课程的建设，以建设课程群的思路对课程进行全面、综合、深入的建设，提高课程建设质量和效益。It puts forward a new concept to comprehensively and deeply build curricula group in the meantime when to build a course, so as to promote the quality and benefit of curricula construction.

本文用复变函数论的映射方法证明了一个普遍意义的矢量性物理量的合成公式，并证明了一个易于判定的充要条件。In this paper, the generalized vector composite formulas are proved by the mapping method of complex function, and a necessary and sufficient condition that can be used easily is proved too.