微积分

Mathematical legacy 数学遗产 Descartes' theory provided the basis for the calculus of Newton and Leibniz, by applying infinitesimal calculus to the tangent line problem, thus permitting the evolution of that branch of modern mathematics.

通过对切线问题的极限计算，笛卡尔为牛顿和莱布尼茨的微积分奠定了基础，所以使得这一近代数学分支的发展成为可能。

infinitesimal calculus ; chart theory ; probability ; application ; economic management

本文就数学的一些分支在经济管理中的应用作一初步讨论。1 一元微积分在经济管理中的应用1.1价格需求弹性系数我们知道，商品

Alexander Wylie wrote and translated many technical works such as Elementary Mathematics,Infinitesimal Calculus Ladder,Talking about Astronomy,Original Geometry Book and etc during the period he stayed in China.

伟烈亚力在中国期间，先后撰写和翻译了《数学启蒙》、《微积分拾级》、《谈天》、《几何原本》后9卷等重要的介绍西方科技的著作，将西方最新的数学、天文学等方面的知识带到了中国。

The calcalus learns is a mathematic branch connected closely with scientific application.Infinitesimal is an important componant in the theoretical system and has an outstanding effect on the forming of the basis and conception of the theory. infinitesimal ; calculus ; the calculus learns ; differential calculus ; integral calculus

引 言微积分学是建立在实数、函数和极限理论基础上，研究函数微分、积分以及有关概念与应用的数学分支。17世纪精密科学的飞速发展，天文学、力学、光学、工业技术要求数学彻底革新，导致了无穷小概念的问世，促使费马增量理论开创微分学的先河，同时奠定了柯西的极限理论。

If the knowledge was closely related the many disciplines or many branches of a discipline,then this knowledge is certainly important,but the quadratic form,european space inner product,Jensen inequality are basic content of algebra,real letters,calculus in higher mathematics.

如果某一知识跟很多学科或者一个学科的很多分支有着密切联系，那么这个知识肯定是很重要的，而二次型、欧式空间内积、詹森不等式都是高等数学中代数、实函、微积分的基本内容。

Then the inner product of two vectors in is defined as.

映射的微积分就是Banach 空间上的分析。。

According to our teaching practice,effective applications of some relative calculus background knowledge in teaching are given,such as introduction of real number ,Newton-Leibniz s formula,principle of integrability,meaning of infinite series.

结合教学实践，讨论了实数的引入，Newton-Leibniz公式，无穷级数，函数的可积性准则这几个相关的微积分背景知识在教学中的有效运用。

This process of approaching is crucial to the definition of the derivative and the integral in calculus

这个近似的过程影响到对导数的定义和微积分的积分

An operation used in the calculus whereby the integral of a function is determined.

在微积分学中函数的某些条件给定的情况下采取的运算方法。

This process o f approaching is crucial to the de f inition o f the derivative and the integral in calculus

这个近似的过程影响到对导数的定义和微积分的积分

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。