求大家帮我翻译一下下面一段文字,(不要在使用在线翻译,因为那是没有语法的)救急啊!!!
本文主要通过运用微积分相关知识,来解决一些几何中的问题.在这里,我们首先探究了导数以及利用导数求面积与体积,然后运用微积分与曲率、挠率、曲面上曲线的弧长、曲面域的面积等的...
本文主要通过运用微积分相关知识,来解决一些几何中的问题.在这里,我们首先探究了导数以及利用导数求面积与体积,然后运用微积分与曲率、挠率、曲面上曲线的弧长、曲面域的面积等的关系.其次,我们将微积分运用到微分几何中,运用微积分来刻画曲面的弯曲程度,运用微积分来简化曲线积分的算法.利用微积分处理较复杂的问题时,往往可以先“化整为零”,把它分割成许多在较小时间、空间等范围内可以研究的问题,然后对此可研究的简单问题进行研究.实际上这也是微积分的中心思想所在.
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The paper mainly by using calculus knowledge, to solve some problems of the geometry. Here, we explores the derivative and derivative for area and volume first , and then we use the calculus and curvature, flexible rate and surface of the curve arc length of surface, the area of the domain relationship. Secondly, we will use to calculus differential geometry, the use of calculus to depict the surface of bending degree, the use of calculus to simplify curvilinear integral algorithm. Use the calculus handle more complex problem, often can first "into parts", put it divided into many smaller in time, space area of study, and then for the simple problems research. In fact this is the center of the calculus in thought.
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