George Grätzer - More Math Into LaTeX
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Includes supplementary material: https://storage.googleapis.com/sgw-extras/zip/2016/978-3-319-23796-1.zipFor over two decades, this comprehensive manual has been the standard introduction and complete reference for writing articles and books containing mathematical formulas. If the reader requires a streamlined approach to learning LaTeX for composing everyday documents, Grtzers 2014 Practical LaTeX may also be a good choice.In this carefully revised fifth edition, the Short Course has been brought up to date and reflects a modern and practical approach to LaTeX usage. New chapters have been added on illustrations and how to use LaTeX on an iPad.Key features: An example-based, visual approach and a gentle introduction with the Short Course A detailed exposition of multiline math formulas with a Visual Guide A unified approach to TeX, LaTeX, and the AMS enhancements A quick introduction to creating presentations with formulasFrom earlier reviews:Grtzers book is a solution.European Mathematical Society NewsletterThere are several LaTeX guides, but this one wins hands down for the elegance of its approach and breadth of coverage.Amazon.com, Best of 2000, Editors choiceA novice reader will be able to learn the most essential features of LaTeX sufficient to begin typesetting papers within a few hours of time An experienced TeX user, on the other hand, will find a systematic and detailed discussion of LaTeX features.Report on Mathematical PhysicsA very helpful and useful tool for all scientists and engineers. Review of Astronomical Tools
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George Grätzer
Michael C. Thomsett
Doug Mitchel
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Frank Mittelbach
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Part I
Mission Impossible
Mission Impossible
Springer International Publishing AG 2016
George Grtzer More Math Into LaTeX 10.1007/978-3-319-23796-1_11. Short course
George Grtzer 1
(1)
Toronto, ON, Canada
It happens to most of us. We live a happy life without LaTeX and then, all of a sudden, we have to do something urgent that requires it.
If you are a student, maybe your professor turned to you and said I need the solutions to these exercises typed up and distributed to the class by tomorrow and the solutions are chock-full of formulas, difficult to do in Word.
Or you are a researcher whose documents have always been typed up by a secretary. You have to attend a conference and give a presentation. Your secretary is on vacation.
In my case, it was a letter (this was before e-mail) from the American Mathematical Society, in which they informed me that my paper, written in Word, was accepted for publication. The AMS will publish the paper in nine months. However, a LaTeX version would be published in three months! So I had to learn LaTeX in a hurry.
The mission, should you choose to accept it, is to get started really fast in LaTeX. Our goal is to produce in LaTeX the little article printed on the next page.
Relax, this chapter will not self-destruct in five seconds.
1.1 Getting started
1.1.1 Your LaTeX
Are you sitting in front of your computer that has a LaTeX implementation? If you use a UNIX computer, you surely are. If you are in front of a Windows computer or a Mac, point your Internet browser at tug.org . Choose to download MikTeX for a Windows computer and MacTeX for a Mac. Follow the easy instructions (and be patient, these are big downloads) and you are done.
Even better, find a friend who can help.
1.1.2 Sample files
We work with a few sample documents. Download them from the Springer page for this book:
http://www.springer.com/us/book/9783319237954
I suggest you create a folder, samples , on your computer to store the downloaded sample files, and another folder called work , where you will keep your working files. Copy the documents from the samples to the work folder as needed. In this book, the samples and work folders refer to the folders you created.
One of the sample files is sample.cls . Make sure it is in the work folder when you typeset a sample document.
1.1.3 Editing cycle
Watch a friend type a document in LaTeX and learn the basic steps.
A text editor is used to create a LaTeX source file . A source file might look like this:
\documentclass{amsart}
\begin{document}
Then $\delta$ is a congruence relation. I can type formulas!
\end{document}
Note that the source file is different from a typical word processor file. All characters are displayed in the same font and size.
Your friend typesets the source file ( tells the application to produce a typeset version ) and views the result on the monitor :
Then is a congruence relation. I can type formulas!
The editing cycle continues. Your friend goes back and forth between the source file and the typeset version, making changes and observing the results of these changes.
The file is viewed/printed. View the typeset version as a pdf file or print it to get a paper version.
If LaTeX finds a mistake when typesetting the source file, it records this in the log file . The log window (some call it console ) displays a shorter version.
Various LaTeX implementations have different names for the source file, the text editor, the typeset file, the typeset window, the log file, and the log window. Become familiar with these names, so you can follow along with our discussions.
1.1.4 Typing the source file
A source file is made up of text, formulas , and instructions ( commands ) to LaTeX.
For instance, consider the following variant of the first sentence of this paragraph:
A source file is made up of text, formulas (e.g.,
$\sqrt{5}$), and \emph{instructions to} \la.
This typesets as
A source file is made up of text, formulas (e.g., 
), and instructions to LaTeX.
), and instructions to LaTeX.In this sentence, the first part
A source file is made up of text, formulas (e.g.,
is text. Then
$\sqrt{5}$
is a formula
), and
is text again. Finally,
\emph{instructions to} \la.
The instruction \ emph is a command with an argument, while the instruction \ LaTeX is a command without an argument. Commands, as a rule, start with a backslash ( \ ) and tell LaTeX to do something special. In this case, the command \ emph emphasizes its argument (the text between the braces). Another kind of instruction to LaTeX is called an environment. For instance, the commands
\begin{center}
\end{center}
enclose a center environment; the contents (the text typed between these two commands) are centered when typeset.
In practice, text, formulas, and instructions (commands) are mixed. For example,
My first integral: $\int \zeta^{2}(x) \, dx$.
is a mixture of all three; it typesets as
My first integral: 
.
.Creating a document in LaTeX requires that we type in the source file. So we start with the keyboard, proceed to type a short note, and learn some simple rules for typing text in LaTeX.
1.2 The keyboard
The following keys are used to type the source file:
a-z A-Z 0-9
+ = * / ( ) [ ]
You can also use the following punctuation marks:
,;.? !: -
and the space bar, the Tab key, and the Return (or Enter) key.
Finally, there are thirteen special keys that are mostly used in LaTeX commands:
# $ % & ~ _ ^ \ { } @ " |
If you need to have these characters typeset in your document, there are commands to produce them. For instance, the dollar sign, $ is typed as \ $, the underscore, _, is typed as \_ , and the percent sign, %, is typed as \% . Only @ requires no special command, type @ to print @; see Sections and B.4.
There are also commands to produce composite characters, such as accented characters, for example , which is typed as \"{a} . LaTeX prohibits the use of other keys on your keyboard unless you have special support for it. See the text accent table in Sections and B.2. If you want to use accented characters in your source file, then you must use the inputenc package.
Tip The text accent table looks formidable. Dont even dream of memorizing it. You will need very few. When you need a text accent, look it up. I know only one: \"a (LOL). If you use a name with accented characters, figure out once how to type it, and then any time you need it you can just copy and paste (chances are that the name is in your list of references).1.3 Your first text notes
We start our discussion on how to type a note in LaTeX with a simple example. Suppose you want to use LaTeX to produce the following:
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