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积分学

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Integral calculus' learning is one is abstract to turn mathematics foundation academics of a higher door of the degree.

积分学是一门抽象化程度较高的一门数学基础学科。

In integral calculus, the mean value of a function on an interval is, in essence, the arithmetic mean of its values over the interval.

积分学中,函数在一个期间内的平均值从本质上讲是它在这个区间内的各个值的算术平均值。

In mathematics, Newton established "the Newton binomial theorem", and nearly simultaneously established the calculus study with Leibniz.

在数学上,牛顿创立了"牛顿二项式定理",并和莱布尼兹几乎同时创立了微积分学

He invented calculus and investigated the nature of light.

他创立了微积分学,探索了光的本质。

But, in fact, the application of contour integral is more important, its application in integral calculus, physics and engineering science is quite extensive.

但更重要的是其应用,周线积分在积分学、力学、工程学方面应用相当广泛。

This paper probes into its application in integral calculus especially--- utilizing contour integral to calculate relational real integral.

本文重点探讨它在积分学当中的应用——利用周线积分计算有关的实积分。

This book assumes a basic knowledge of differential and integral calculus.

这本书假装一种不同和积分学的基础知识。

" In mathematics , two theorems, one associated with differential calculus and one with integral calculus."

数学中的两个定理。分别与微分学和积分学相关。

The higher mathematics curriculum is a college engineering course undergraduate course each specialized student's compulsory important basic theory class, through this curriculum study, causes the student to obtain: Circular function calculus study, the space analytic geometry and the vector algebra, the function of many variables calculus study, the infinite series, aspect and so on ordinary differential equation basic concepts, the elementary theory and the fundamental operation skill, and further obtain mathematics knowledge for the study successor curriculum to lay the essential mathematics foundation,During instruction knowledge, must train the student through each teaching link to have the abstract thinking ability, logic reasoning ability, spatial imagination ability gradually and studies independently ability, but also must pay attention specially trains the student to have the quite skilled operational capability and the synthesis utilization studies the knowledge to analyze the question and to solve the question ability.

高等数学课程是高等学校工科本科各专业学生的一门必修的重要基础理论课,通过本课程的学习,使学生获得:一元函数微积分学,空间解析几何与向量代数,多元函数微积分学,无穷级数,常微分方程等方面的基本概念、基本理论和基本运算技能,为学习后继课程和进一步获得数学知识奠定必要的数学基础,在传授知识的同时,要通过各个教学环节逐步培养学生具有抽象思维能力、逻辑推理能力、空间想象能力和自学能力,还要特别注意培养学生具有比较熟练的运算能力和综合运用所学知识去分析问题和解决问题的能力。主要是其中的一些专有名词查不到,比如一元函数等

Third, the use of Lagrange's theorem proving the points of the study on some conclusions, that the Lagrange theorem in the integral study also has a wide range of applications.

再次,利用拉格朗日定理证明了积分学上的几个结论,说明拉格朗日定理在积分学中也有广泛的应用。

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