一、函数与极限 ························································································································· 2
1、集合的概念 ···················································································································· 2 2、常量与变量 ······························································································································· 4 3、函数的简单性态 ··························································································································· 5 5、复合函数 ······················································································································· 6 6、初等函数 ······················································································································· 6 7、双曲函数及反双曲函数 ································································································· 7 8、数列的极限 ···················································································································· 8 9、函数的极限 10、函数极限的运算规则································································································· 11
本版《高等数学下教材》上、下冊系高等工业院校本科高等数学下教材课程使用的教材该书是在天津大学出版社历次《高等数学下教材》版本的基础上,由天津大学高等数学下教材教研室组织编写的 在全书编写过程中,编者根据高等工业学校《高等数学下教材课程教学基本要求》结合教学实际,并充分参考报考硕士研究生数学入学考试(数学一)的内容要求 本书上册包括函数、极限、导数与微分、微分中什定理及导数的应用、不萣积分、定积分和空间解析几何与矢量代数等7章;下册包括多元函数微分学、重积分、曲线积分及曲面积分、级数和微分方程等5章。各章節后附有适量习题书后附有习题参考答案。
第8章 多元函数微分学
作者:天津大学数学教研室 编