94 lines
2.8 KiB
TeX
94 lines
2.8 KiB
TeX
\documentclass[12pt, UTF8, a4paper, fontset=none, openany]{ctexbook}
|
||
\usepackage{geometry}
|
||
\usepackage{amsmath}
|
||
\usepackage{amsthm}
|
||
\usepackage{amssymb}
|
||
\usepackage{bm}
|
||
\usepackage{graphicx}
|
||
\usepackage[colorlinks, linkcolor=black, anchorcolor=green, citecolor=blue]{hyperref}
|
||
\usepackage{mathrsfs}
|
||
\usepackage[inline]{enumitem}
|
||
\usepackage{tikz}
|
||
\usepackage{nicematrix}
|
||
\usepackage{emptypage}
|
||
\usepackage{physics}
|
||
|
||
\geometry{a4paper,scale=0.8}
|
||
|
||
\defaultCJKfontfeatures{Mapping = fullwidth-stop}
|
||
\setCJKmainfont{simsun.ttc}[AutoFakeBold, ItalicFont=simkai.ttf]
|
||
% \ctexset{fontset=macnew}
|
||
% \ctexset{fontset=windows} % On Windows
|
||
|
||
\newtheorem{theorem}{定理}[section]
|
||
\newtheorem{axiom}{公理}[section]
|
||
\newtheorem{definition}{定义}[section]
|
||
\newtheorem{lemma}{引理}[theorem]
|
||
\newtheorem{corollary}{推论}[section]
|
||
\newtheorem{example}{例}[section]
|
||
\newtheorem{proposition}{命题}[section]
|
||
\newtheorem*{remark}{注}
|
||
|
||
% \renewcommand{\qedsymbol}{} %去掉证明结尾的方框
|
||
\newcommand{\eqco}{\text{，}} % Chinese comma in equation
|
||
\newcommand{\eqper}{\text{。}} % Chinese period in equation
|
||
\newcommand{\newnoun}[2]{
|
||
\textbf{#1}（\textit{#2}）
|
||
}
|
||
\newcommand{\bvec}[1]{\boldsymbol{#1}}
|
||
\newcommand{\trans}{^\mathrm{T}}
|
||
\newcommand{\rdots}{\begin{rotate}{90}$\ddots$\end{rotate}}
|
||
\newcommand{\revmat}{^{-1}}
|
||
\newcommand{\realnum}{\mathbb{R}}
|
||
\newcommand{\integer}{\mathbb{Z}}
|
||
\newcommand{\naturalnum}{\mathbb{N}}
|
||
\newcommand{\complexnum}{\mathbb{C}}
|
||
\newcommand{\columnspace}[1]{\mathcal{R}(#1)}
|
||
\newcommand{\nullspace}[1]{\mathcal{N}\left({#1}\right)}
|
||
\newcommand{\orthocomplementation}{^{\perp}}
|
||
\newcommand{\makedot}{\tikz\draw[black,fill=black] (0,0) circle (2pt);}
|
||
% \newcommand{\norm}[1]{\left\Vert#1\right\Vert}
|
||
\newcommand{\listout}[2]{{#1}_1, {#1}_2, \dots, {#1}_{#2}}
|
||
\newcommand{\fnum}{\mathbb{F}}
|
||
\newcommand{\spacev}{\mathcal{V}}
|
||
|
||
% \DeclareMathOperator{\comm}{Comm}
|
||
\DeclareMathOperator{\diag}{diag}
|
||
% \DeclareMathOperator{\trace}{trace}
|
||
\DeclareMathOperator{\matspan}{span}
|
||
% \DeclareMathOperator{\rank}{rank}
|
||
\DeclareMathOperator{\rref}{rref}
|
||
\DeclareMathOperator{\id}{id}
|
||
\DeclareMathOperator{\sign}{sign}
|
||
|
||
\newenvironment{amatrix}[1]{%
|
||
\left[\begin{array}{@{}*{#1}{c}|c@{}}
|
||
}{%
|
||
\end{array}\right]
|
||
}
|
||
|
||
|
||
\title{{\Huge{\textbf{线性代数}}}}
|
||
\author{}
|
||
\date{}
|
||
% linespread{1.5}
|
||
% \includeonly{03内积和正交性.tex}
|
||
|
||
\begin{document}
|
||
\maketitle
|
||
\cleardoublepage
|
||
\pagenumbering{roman}
|
||
\setcounter{page}{1}
|
||
\tableofcontents
|
||
\cleardoublepage
|
||
\setcounter{page}{1}
|
||
\pagenumbering{arabic}
|
||
\include{00预备知识.tex}
|
||
\include{01线性映射和矩阵.tex}
|
||
\include{02子空间和维数.tex}
|
||
\include{03内积和正交性.tex}
|
||
\include{04行列式.tex}
|
||
\include{05特征值和特征向量.tex}
|
||
\include{06实对称矩阵.tex}
|
||
\include{07线性空间和线性映射.tex}
|
||
\end{document} |