1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 \documentclass{article} \usepackage{amssymb} \usepackage{amsmath} \title{Example \LaTeX\ Document} \author{Darren Tapp} \date{\today} \newcommand{\RR}{{\mathbb R}} \begin{document} \maketitle \LaTeX\ is a markup language that is intended to produce beautiful mathematics. We can display an equation; $x+3 = 5.$ or mathematics could be in line as $x=2$. \textbackslash\ usually preceeds a command. \$is also a special symbol that denotes math mode. One dollar sign for$\sum_{i=1}^n i$if you want the text inline. Two dollar signs if you want to display $$\frac{\partial \psi }{\partial t} .$$ However I prefer \textbackslash [ and \textbackslash ] to display equations. Do you want to define a linear map$L:{\mathbb R}^2\to {\mathbb R}^3$? We could could let$L$be an embedding of${\mathbb R}^2$into${\mathbb R}^3$. $(x,y) \mapsto (x,y,0)$ Note I get tired of typing \verb|{\mathbb R}| so I defined a macro above. I now can type about$\RR$all day long. For some reason I would like to give an example of a matrix. $\begin{bmatrix} 1& 1& 0 \\ 0& 1 & 2 \\ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} = \begin{bmatrix} 3 \\ 8 \\ 3 \end{bmatrix} .$ This document uses two packages with the \verb|\usepackage| declaration above. \verb|amssymb| is used for the blackboard bold$\RR\$. \verb|amsmath| is used to make the matrices easier to type. \end{document}