101 lines
3.1 KiB
TeX
101 lines
3.1 KiB
TeX
\documentclass[12pt, UTF8, a4paper, fontset=none, openany]{ctexbook}
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\usepackage{geometry}
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\usepackage{amsmath}
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\usepackage{amsthm}
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\usepackage{amssymb}
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\usepackage{bm}
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\usepackage{graphicx}
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\usepackage[colorlinks, linkcolor=black, anchorcolor=green, citecolor=blue]{hyperref}
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\usepackage{mathrsfs}
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\usepackage[inline]{enumitem}
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\usepackage{emptypage}
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\usepackage{tikz}
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\usepackage{wrapfig}
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\usepackage{multicol}
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\usepackage{float}
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\usepackage{extarrows}
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\usepackage{physics}
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\usepackage{mathrsfs}
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\usepackage{nicematrix}
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% \usepackage{mathptmx}
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\usetikzlibrary{arrows.meta}
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\geometry{a4paper,scale=0.8}
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\defaultCJKfontfeatures{Mapping = fullwidth-stop}
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% \setCJKmainfont{simsun.ttc}[AutoFakeBold, ItalicFont=simkai.ttf]
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\ctexset{fontset=macnew}
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% \ctexset{fontset=windows} % On Windows
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\allowdisplaybreaks[3]
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\newtheorem{theorem}{定理}[section]
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\newtheorem{axiom}{公理}[section]
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\newtheorem{definition}{定义}[section]
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\newtheorem{lemma}{引理}[section]
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\newtheorem{corollary}{推论}[section]
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\newtheorem{example}{例}[section]
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\newtheorem{proposition}{命题}[section]
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\newtheorem*{remark}{注}
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% \renewcommand{\qedsymbol}{} %去掉证明结尾的方框
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\newcommand{\eqco}{\text{，}} % Chinese comma in equation
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\newcommand{\eqper}{\text{。}} % Chinese period in equation
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\newcommand{\newnoun}[2]{\textbf{#1}（\textit{#2}）}
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\newcommand{\dif}{\mathop{}\!\mathrm{d}}
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\newcommand{\toinf}{\lim \limits_{n \to \infty}}
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\newcommand{\setname}[1]{$\{#1\}$}
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\newcommand{\realnum}{\mathbb{R}}
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\newcommand{\integer}{\mathbb{Z}}
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\newcommand{\naturalnum}{\mathbb{N}}
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\newcommand{\toxzero}{\lim \limits_{x \to x_0}}
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\newcommand{\tolim}[2]{\lim \limits_{{#1} \to {#2}}}
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\newcommand{\invertfunc}[1]{{#1}^{-1}}
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\newcommand{\deriv}[1]{{#1}^\prime}
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\newcommand{\delx}{\Delta x}
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\newcommand{\dint}{\displaystyle\int}
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\newcommand{\bderiv}[1]{{#1}^{\prime \prime}}
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\newcommand{\dsum}{\displaystyle\sum}
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\newcommand{\bvec}[1]{\boldsymbol{#1}}
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\newcommand{\brak}[1]{\left\langle {#1} \right\rangle}
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\newcommand{\interior}{^{\circ}}
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\newcommand{\compleset}{^{\mathrm{c}}}
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\newcommand{\closure}[1]{\overline{#1}}
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\newcommand{\ndreal}{\ensuremath{\realnum^n}}
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\newcommand{\boldf}{\ensuremath{\bvec{f}}}
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\DeclareMathOperator{\sgn}{sgn}
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\DeclareMathOperator{\gra}{grad}
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\title{{\Huge{\textbf{高等微积分}}}}
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\author{}
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\date{}
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% linespread{1.5}
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% \includeonly{14多变量函数的微分学.tex}
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% \includeonly{09常微分方程.tex}
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\begin{document}
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\maketitle
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\cleardoublepage
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\pagenumbering{roman}
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\setcounter{page}{1}
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\tableofcontents
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\cleardoublepage
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\setcounter{page}{1}
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\pagenumbering{arabic}
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\include{01实数和数列极限.tex}
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\include{02函数及其连续性.tex}
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\include{03函数的导数.tex}
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\include{04微分与Taylor定理.tex}
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\include{05插值与逼近初步.tex}
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\include{06求导的逆运算.tex}
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\include{07函数的积分.tex}
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\include{08定积分应用.tex}
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\include{09常微分方程.tex}
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\include{10数项级数.tex}
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\include{11函数列与函数项级数.tex}
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\include{12Fourier分析.tex}
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\include{13多变量函数的连续性.tex}
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\include{14多变量函数的微分学.tex}
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\end{document} |