第四周第1节。

高等微积分.tex

@@ -20,8 +20,8 @@
 \newtheorem{theorem}{定理}[section]
 \newtheorem{axiom}{公理}[section]
 \newtheorem{definition}{定义}[section]
-\newtheorem{lemma}{引理}[theorem]
-\newtheorem{corollary}{推论}[theorem]
+\newtheorem{lemma}{引理}[section]
+\newtheorem{corollary}{推论}[section]
 \newtheorem{example}{例}[section]
 \newtheorem{proposition}{命题}[section]
 \newtheorem*{remark}{注}
@@ -35,6 +35,10 @@
 \newcommand*{\dif}{\mathop{}\!\mathrm{d}}
 \newcommand{\toinf}{\lim \limits_{n \to \infty}}
 \newcommand{\setname}[1]{$\{#1\}$}
+\newcommand{\realnum}{\mathbb{R}}
+\newcommand{\integer}{\mathbb{Z}}
+\newcommand{\naturalnum}{\mathbb{N}}
+\newcommand{\toxzero}{\lim \limits_{x \to x_0}}
 
 \title{{\Huge{\textbf{高等微积分}}}}
 \author{}
@@ -51,4 +55,5 @@
     \setcounter{page}{1}
     \pagenumbering{arabic}
     \include{01实数和数列极限.tex}
+    \include{02函数及其连续性.tex}
 \end{document}