文档介绍：河北工业大学
毕业论文
作者: 周博学号: 100093
学院: 理学院
系(专业): 数学与应用数学
题目: 泰勒公式及其应用
指导者: 李小朋讲师
(姓名) (专业技术职务)
评阅者:
(姓名) (专业技术职务)
2014年 05 月 26 日
毕业设计(论文)中文摘要
泰勒公式及其应用
摘要:
通过对泰勒公式的论述从而阐述其重要性和其运用的方法,来加深对泰勒公式的熟练灵活运用,其中对余项的运用是重要的一环。通过对泰勒公式的证明还有利用例题的具体辨析,让泰勒公式全面展现出其强大的作用,在近似计算,证明不等式,求极限,研究函数图像方面都有不可或缺的作用。本文着重阐述泰勒公式的具体应用,列举许多具有代表性的例题,希望读者能够触类旁通,举一反三,最终学以致用起到实际的效果。通过整篇文章的著作,发现泰勒公式是一个把复杂的问题简单化的利器,其余项的运用则更能够使计算变得方便快捷,掌握好泰勒公式许多时候会起到化腐朽为神奇的作用。
关键词:泰勒公式余项计算应用
毕业设计(论文)外文摘要
Title The Taylor formula and its application
Abstract
Through the Taylor formula discourse thus explaining its importance and methods of their use, and to deepen the Taylor formula skilled flexible use, including the use of the remainder is the important part. By proving that there is discrimination against the use of specific examples of the Taylor formula, so the Taylor formula fully demonstrated its powerful role in the approximate calculation proves inequality, find the limit, study the images of the function has an indispensable role. This paper focuses on the specific application of the Taylor formula, citing a representative example of many, I hope that readers prehend by analogy, replicability, and ultimately to apply their knowledge to play a practical effect. Through the writings of the entire article, Taylor found the formula is a tool to plex issues, the use of the remaining items can make the calculation es even more convenient, the formula many times to master Taylor will play the role of the miraculous .
Keywords: Taylor formula Remainder calculation Application
目录
1 引言…………………………………………………………………………………1
2预备知识……………………………………………………………………2
……………………………………………………………………2
……………………………………………………………3
3泰勒公式的应用………………………………………………………………………6
………………………………………………………6
应用Taylor公式证明不等式………………………………………………………7
………………………………………………………9
………………………………………………11
应用Taylor公式近似计算………………………………………………………12
应用Taylor公式求极值……………