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GILA.xml
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<?xml version="1.0" encoding="UTF-8"?>
<mathbook xmlns:xi="http://www.w3.org/2001/XInclude">
<docinfo>
<brandlogo url="../images/gilamonster.jpg" source="../images/gilamonster.jpg" />
<latex-preamble>
<package>graphicx</package>
<package>cancel</package>
</latex-preamble>
<macros>
\newcommand{\divides}{\!\mid\!}
\newcommand{\tdiv}{\; \mbox{div} \;}
\newcommand{\restrict}[2]{#1 \,\rule[-4pt]{.125pt}{14pt}_{\,#2}}
\newcommand{\lcm}[2]{\mbox{lcm} (#1, #2)}
\renewcommand{\gcd}[2]{\mbox{gcd} (#1, #2)}
\newcommand{\Naturals}{{\mathbb N}}
\newcommand{\Integers}{{\mathbb Z}}
\newcommand{\Znoneg}{{\mathbb Z}^{\mbox{\tiny noneg}}}
\newcommand{\Enoneg}{{\mathbb E}^{\mbox{\tiny noneg}}}
\newcommand{\Qnoneg}{{\mathbb Q}^{\mbox{\tiny noneg}}}
\newcommand{\Rnoneg}{{\mathbb R}^{\mbox{\tiny noneg}}}
\newcommand{\Rationals}{{\mathbb Q}}
\newcommand{\Reals}{{\mathbb R}}
\newcommand{\Complexes}{{\mathbb C}}
%\newcommand{\F2}{{\mathbb F}_{2}}
\newcommand{\relQ}{\mbox{\textsf Q}}
\newcommand{\relR}{\mbox{\textsf R}}
\newcommand{\nrelR}{\mbox{\raisebox{1pt}{$\not$}\rule{1pt}{0pt}{\textsf R}}}
\newcommand{\relS}{\mbox{\textsf S}}
\newcommand{\relA}{\mbox{\textsf A}}
\newcommand{\Dom}[1]{\mbox{Dom}(#1)}
\newcommand{\Cod}[1]{\mbox{Cod}(#1)}
\newcommand{\Rng}[1]{\mbox{Rng}(#1)}
\newcommand{\aij}[2]{a_{#1\:\!#2}}
\newcommand{\bij}[2]{b_{#1\:\!#2}}
\newcommand{\suchthat}{\;\mid\;}
</macros>
<latex-image-preamble>
\usepackage{graphicx}
%\usepackage{pgfplots} % loads tikz package
%\usepackage{smartdiagram} % for a circular diagram
%\pgfplotsset{axis x line = middle, axis y line = middle}
%\usetikzlibrary{backgrounds}
%\usetikzlibrary{arrows,matrix}
\DeclareGraphicsExtensions{.pdf,.png,.jpg}
</latex-image-preamble>
<initialism>GILA</initialism>
<feedback>
<url>http://osj1961.github.io/gila/</url>
</feedback>
</docinfo>
<book xml:id="GILA">
<title>A Gentle Introduction to Linear Algebra</title>
<frontmatter>
<titlepage>
<author>
<personname>Joe Fields</personname>
<department>Mathematics department</department>
<institution>Southern Connecticut State University</institution>
<email>fieldsj1@southernct.edu</email>
</author>
<date>September 2016</date>
</titlepage>
<colophon>
<edition>version 0.1</edition>
<website>
<name>GILA on GitHub</name>
<address>http://http://osj1961.github.io/gila/</address>
</website>
<copyright>
<year>2016</year>
<holder>Joe Fields</holder>
<shortlicense>Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.3 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled <q>GNU Free Documentation License</q>.</shortlicense>
</copyright>
</colophon>
<dedication>
<p>To Martha.</p>
</dedication>
<acknowledgement>
<p>A big "Thank You!" to the students at SCSU who inspired this project and helped to make it a reality. I'd also like to thank my colleagues in the SCSU Math department whose encouragement gave me the strength to get started on this. This book was created using only open-source tools: MathbookXML, LaTeX, GIT, GIMP, XFig, OpenSCAD and Sage; thank you to all of the developers and the communities that selflessly donate their time and efforts to building and maintaining these projects. Finally, I'd like to gratefully acknowledge the support provided by my institution (and hence, by the taxpayers of Connecticut) -- a one semester sabbatical leave during which I did the bulk of the design and writing.</p>
</acknowledgement>
<foreword>
<p>To Do: Get the most eminent mathematician - that you can rope into it - to write a foreword.</p>
</foreword>
<preface>
<p>This is a free/open-source textbook that provides an introduction to Linear Algebra. There is a light emphasis on
mathematical proof and a strong emphasis on applications, making this book appropriate for science and engineering
majors and for mathematics majors who are taking Linear Algebra early in their college careers. Math majors who have
already had an introduction to proofs course -- my other open-source textbook <q>A Gentle Introduction to the Art of
Mathematics</q> was written for such a course -- may benefit from a more advanced treatment that features proof.
A good choice would be <q>A First Course in Linear Algebra</q> (a.k.a. FCLA) by Robert Beezer, which is also a free,
open-source project.
</p>
</preface>
</frontmatter>
<xi:include href="intro.xml" />
<xi:include href="rref.xml" />
<xi:include href="vect.xml" />
<xi:include href="det.xml" />
<xi:include href="eigen.xml" />
<xi:include href="algebra.xml" />
<xi:include href="abstract.xml" />
<backmatter>
</backmatter>
</book>
</mathbook>