说明：  《重温微积分》根据作者多年来为各种不同程度的大学生和研究生讲课及讨论班上报告的内容整理而成。第一章对极限理论的发展作了历史的回顾。以下六章分别讨论函数、微分学、积分学、傅里叶分析、实分析与点集拓扑学基础以及微分流形理论。每一章都强调有关理论的基本问题、基本理论和基本方法的历史的背景，其与物理科学的内在联系，其现代的发展与陈述方式特别是它与其他数学分支的关系。同时对一些数学和物理学中重要的而学生常常不了解的问题作了阐述。因此，它涉及了除微积分以外的许多数学分支：主要有实和复分析、微分方程、泛函分析、变分法和拓扑学的某些部分。同样对经典物理学-牛顿力学和电磁学作了较深入的讨论。其目的则是引导学生去重新审视和整理自己已学过的数学知识，并为学习新的数学知识——例如数学物理做准备。
(The "revisit Calculus is made ​ ​ according to the author over the years for various degrees of undergraduate and graduate lectures and discussion class report finishing. Chapter made ​ ​ a historical review of the development of the limit theory. The following chapters discuss the theory of functions, differential calculus, integral calculus, Fourier analysis, real analysis, the basis of point set topology and differentiable manifolds. Each chapter emphasizes the historical background of the basic questions about the theory, the basic theory and method, intrinsically linked with physical science, modern development and presentation of its relationship with other branches of mathematics. Expounded both mathematics and physics students often do not understand the problem. Therefore, it is involved in addition to many branches of mathematics other than calculus: There are some of the real and complex analysis, differential equations, functional analysis, variational m)