Commit 4047c798 authored by Jim Hefferon's avatar Jim Hefferon

diddling with cover to make answers to exercises use same cover; add geometry.sty

parent af3c76c8
......@@ -5,9 +5,10 @@
% PAGE DIMENSIONS
\usepackage{vmargin}
\setmarginsrb{1in}{1in}{1in}{1in}%
{12pt}{4pt}{0pt}{0pt}
% \usepackage{vmargin}
% \setmarginsrb{1in}{1in}{1in}{1in}%
% {12pt}{4pt}{0pt}{0pt}
\geometry{margin=1in}
% HEADERS and FOOTERS
......
......@@ -14,7 +14,7 @@
% \newcommand{\appendsection}[1]{\subsection*{#1}
% \addcontentsline{toc}{subsection}{#1}}
\makeatletter
\newcommand{\appendsection}[1]{\vspace{3ex plus .25ex minus .15 ex}\noindent{\addcontentsline{toc}{subsection}{#1}\large\textbf{#1}}\vspace*{1.5ex plus .1 ex minus .05 ex}\nopagebreak[4]\par\noindent\trim@spaces}
\newcommand{\appendsection}[1]{\vspace{3ex plus .25ex minus .15 ex}\noindent{\addcontentsline{toc}{subsection}{#1}\large\textbf{#1}}\vspace{.5ex plus .1 ex minus .05 ex}\nopagebreak[4]\par\noindent\trim@spaces}
\makeatother
\markboth{}{}
......@@ -338,6 +338,7 @@ would be unique, but no such number exists.)
%\noindent
%{\Large\bf Techniques of Proof}
%\bigskip
\startword{Induction}
\index{induction}
Many proofs are iterative,
......@@ -486,6 +487,7 @@ A negative proposition often suggests a proof by contradiction.
\appendsection{Sets, Functions, and Relations}
\startword{Sets}
\index{sets}
Mathematicians work with collections, called \definend{sets}.\index{set}
......
This diff is collapsed.
......@@ -10,11 +10,19 @@
%\ProcessOptions
% The PACKAGE LOADING part
% The dvidrv package allows me to specify on the command line what is
% my driver.
% \usepackage[yes]{hrefout}
% \newcommand{\dvidrv}{pdftex}
% \typeout{DVI DRIVER IN BOOKJH IS \dvidrv}
% Set page margins, etc.
\usepackage[paper=letterpaper,
textwidth=345pt,textheight=598pt, % LaTeX defaults
% top=1in,bottom=1in % squeeze a lot on the paper
]{geometry}
% \usepackage[\dvidrv]{xcolor}
\usepackage{xcolor}
% These are from http://kuler.adobe.com/#themeID/1538583
......@@ -463,7 +471,7 @@
% that macro does not take an argument.
\gdef\sectioningname{#1}
% Below here is where the chapter heading is formatted
\vspace*{50\p@}%
\vspace*{90\p@} % was 50\p@
{\parindent \z@ \raggedright \normalfont
\ifnum \c@secnumdepth >\m@ne
\if@mainmatter
......@@ -477,7 +485,7 @@
\vskip 0\p@ \fi %was 20\p@
\interlinepenalty\@M
\Huge \bfseries \textcolor{black}{#1}\par\nobreak
\vskip 40\p@ % was 30\p@
\vskip 50\p@ % was 30\p@
}}
......@@ -627,7 +635,7 @@
% an italic heading.) The last command in <style> may be a
% command which takes a single argument but all the others must be declarations.
\renewcommand{\section}{\@startsection%
{section}{1}{0em}{-12ex plus1ex minus2ex}{1em}%
{section}{1}{0em}{-14ex plus1ex minus2ex}{1em}%
{\raggedright\Large\bfseries}}
\newcommand{\topicsection}{\@startsection%
{section}{1}{0em}{-12ex plus1ex minus2ex}{3em}%
......@@ -678,7 +686,7 @@
%==================== TOPICS ============================
% For applications sections.
%
\newcommand{\topic}[1]{\clearpage\topicsection*{#1}
\newcommand{\topic}[1]{\clearpage\vspace*{.25in}\topicsection*{#1}
\renewcommand{\announcesectioninginanswerfile}{%
\sectioninginanswerfiletopicstyle}
% renew definition of exercise formatting (perhaps undone in Chapter)
......@@ -761,6 +769,28 @@
% \usepackage[capitalise]{cleveref} % nameinlink option not in my LaTeX yet?
% ==================== Cover
\newcommand{\covergraphic}{%
\par\noindent\makebox[0pt][c]{\contourlength{1.4pt}
\rule{5.7in}{0em}
\fontsize{260pt}{8pt}
{\fontfamily{qzc}\itshape\selectfont \contour{darkcolor}{\textcolor{lightcolor}{Linear}}}
} \\[-2.15in]
\noindent\makebox[0pt][c]{\rule{8.5in}{0pt}%
\makebox[0pt][l]{\contourlength{0.6pt} %
\fontsize{65pt}{10pt}
{\fontfamily{qzc}\itshape\selectfont \contour{flourishcolor}{\textcolor{white}{Algebra}}}
}
}
}
\newcommand{\coverauthor}{%
\noindent\makebox[0em][l]{\makebox[8.5in]{%
\begin{tabular}{r}
{\Large Jim Hef{}feron} \\[1ex]
{\large \url{http://joshua.smcvt.edu/linearalgebra}}
\end{tabular}}}
}
\endinput
......@@ -5,155 +5,54 @@
\title{Linear Algebra}
\author{Jim Hef{}feron}
\date{\today}
% \title{Linear Algebra}
% \author{Jim Hef{}feron}
% \date{\today}
\thispagestyle{empty}
%\maketitle
\vfill
\vspace*{.5in}
\begin{center}
{\large Answers to Exercises} \\[.25in]
%from \\[.25in]
{\bsifamily\Huge Linear Algebra} \\[.15in]
%by \\[.15in]
{\large Jim Hef{}feron}
%{{\fontshape{ol}\selectfont\Large Jim Hef{}feron}} \\[.25in]
%{\Large \today}
\end{center}
\vspace*{.5in}
\coverauthor
\vspace*{2.8in}
\begin{center}
\begin{tabular}{ccc}
\begin{tabular}{c}
\includegraphics{ch4.2} \\[\covgraphsep]
$\begin{vmatrix}
1 &2 \\
3 &1
\end{vmatrix}$
\end{tabular} \\
&\begin{tabular}{c}
\includegraphics{ch4.3} \\[\covgraphsep]
$\begin{vmatrix}
x\cdot 1 &2 \\
x\cdot 3 &1
\end{vmatrix}$
\end{tabular} \\
&&\begin{tabular}{c}
\includegraphics{ch4.4} \\[\covgraphsep]
$\begin{vmatrix}
6 &2 \\
8 &1
\end{vmatrix}$
\end{tabular}
\end{tabular}
\end{center}
% \setlength{\unitlength}{10pt} % parallel-o-gram with region
% % \setlength{\unitlength}{8pt} % parallel-o-gram with det box drawn.
% % \begin{picture}(3,9)(0,-1) % to (6,8)
% \begin{picture}(6,25)(0,-15) % to (6,8)
% \put(0,0){\begin{pspicture}(0,0)(6,8)
% \pspolygon(0,0)(4,2)(6,8)(2,6)
% \pspolygon[fillstyle=solid,fillcolor=lightgray](0,0)(2,1)(3,4)(1,3)
% \psline[linecolor=white,linewidth=1pt]{C-C}(0,0)(2,1)
% \psline[linewidth=.8pt]{->}(0,0)(2,1)
% \psline[linecolor=white,linewidth=1pt]{C-C}(0,0)(1,3)
% \psline[linewidth=.8pt]{->}(0,0)(1,3)
% \end{pspicture}}
% \thicklines
% \put(0,0){\vector(1,3){1} }
% \put(0,0){\vector(2,1){2} }
% \thinlines
% \put(1.1,3.3){\line(1,3){0.9} }
% \put(2,6){\line(2,1){4} }
% \put(2.1,1.05){\line(2,1){1.9} }
% \put(4,2){\line(1,3){2} }
% \put(1.1,3.0){\line(2,1){1.9} }
% \put(2.1,1.3){\line(1,3){0.9} }
% \multiput(0.25,0.30)(0.15,0.45){7}{\makebox(0,0){\scriptsize .} }
% \multiput(0.55,0.45)(0.15,0.45){7}{\makebox(0,0){\scriptsize .} }
% \multiput(0.85,0.60)(0.15,0.45){7}{\makebox(0,0){\scriptsize .} }
% \multiput(1.15,0.75)(0.15,0.45){7}{\makebox(0,0){\scriptsize .} }
% \multiput(1.45,0.90)(0.15,0.45){7}{\makebox(0,0){\scriptsize .} }
% \multiput(1.75,1.05)(0.15,0.45){7}{\makebox(0,0){\scriptsize .} }
% \put(2,-.8){\makebox(0,0)[t]{$\begin{vmatrix}
% 1 &2 \\
% 3 &1
% \end{vmatrix}$}}
% \end{picture}
% \qquad\raisebox{8pt}{versus}\qquad
% \hbox to .5in{\hbox{}\hfil\hbox{}}
% \setlength{\unitlength}{8pt} % parallel-o-gram with kv box drawn.
% \begin{picture}(3,9)(0,-1) % to (6,8)
% \begin{picture}(6,17)(0,-8) % to (6,8)
% \put(0,0){\begin{pspicture}(0,0)(6,8)
% \pspolygon(0,0)(4,2)(6,8)(2,6)
% \pspolygon[fillstyle=solid,fillcolor=lightgray](0,0)(2,6)(4,7)(2,1)
% \psline[linecolor=white,linewidth=1pt]{C-C}(0,0)(2,1)
% \psline[linewidth=.8pt]{->}(0,0)(2,1)
% \psline[linecolor=white,linewidth=1pt]{C-C}(0,0)(1,3)
% \psline[linewidth=.8pt]{->}(0,0)(1,3)
% \end{pspicture}}
% \thicklines
% \put(0,0){\vector(1,3){1} }
% \put(0,0){\vector(2,1){2} }
% \thinlines
% \put(1.1,3.3){\line(1,3){0.9} }
% \put(2,6){\line(2,1){4} }
% \put(2.1,1.05){\line(2,1){1.9} }
% \put(4,2){\line(1,3){2} }
% \put(2.1,1.3){\line(1,3){1.9} }
% \multiput(0.25,0.30)(0.15,0.45){13}{\makebox(0,0){\scriptsize .} }
% \multiput(0.55,0.45)(0.15,0.45){13}{\makebox(0,0){\scriptsize .} }
% \multiput(0.85,0.60)(0.15,0.45){13}{\makebox(0,0){\scriptsize .} }
% \multiput(1.15,0.75)(0.15,0.45){13}{\makebox(0,0){\scriptsize .} }
% \multiput(1.45,0.90)(0.15,0.45){13}{\makebox(0,0){\scriptsize .} }
% \multiput(1.75,1.05)(0.15,0.45){13}{\makebox(0,0){\scriptsize .} }
% \put(2,-.8){\makebox(0,0)[t]{$\begin{vmatrix}
% x\cdot 1 &2 \\
% x\cdot 3 &1
% \end{vmatrix}$}}
% \end{picture}
% \hbox to .5in{\hbox{}\hfil\hbox{}}
% \qquad\raisebox{8pt}{versus}\qquad
% \setlength{\unitlength}{8pt} % parallel-o-gram with region
% \setlength{\unitlength}{12pt} % parallel-o-gram with region
% \begin{picture}(6,9)(0,-1) % to (6,8)
% \put(0,0){\begin{pspicture}(0,0)(8,9)
% \pspolygon(0,0)(4,2)(6,8)(2,6)
% \pspolygon[fillstyle=solid,fillcolor=lightgray](0,0)(6,8)(8,9)(2,1)
% % \psline[linewidth=.8pt,linecolor=white](6,8)(2,6)
% \psline[linecolor=stronggray](6,8)(5,5) %intersection
% \psline[linecolor=white,linewidth=1pt]{C-C}(0,0)(2,1)
% \psline[linewidth=.8pt]{->}(0,0)(2,1)
% \psline[linecolor=white,linewidth=1pt]{C-C}(0,0)(1,3)
% \psline[linewidth=.8pt]{->}(0,0)(1,3)
% \end{pspicture}}
% \thicklines
% \put(0,0){\vector(1,3){1} }
% \put(0,0){\vector(2,1){2} }
% \thinlines
% \put(1.1,3.3){\line(1,3){0.9} }
% \put(2,6){\line(2,1){3.9} }
% \put(2.1,1.05){\line(2,1){1.9} }
% \put(4,2){\line(1,3){1.9} }
% \put(0.1,0.1333){\line(3,4){5.9} }
% \put(2.1,1.1333){\line(3,4){5.9} }
% \put(6,8){\line(2,1){2} }
% \multiput(0.55,0.45)(0.30,0.40){20}{\makebox(0,0){\scriptsize .} }
% \multiput(0.85,0.60)(0.30,0.40){20}{\makebox(0,0){\scriptsize .} }
% \multiput(1.15,0.75)(0.30,0.40){20}{\makebox(0,0){\scriptsize .} }
% \multiput(1.45,0.90)(0.30,0.40){20}{\makebox(0,0){\scriptsize .} }
% \multiput(1.75,1.05)(0.30,0.40){20}{\makebox(0,0){\scriptsize .} }
% \put(2,-.8){\makebox(0,0)[t]{$\begin{vmatrix}
% 6 &2 \\
% 8 &1
% \end{vmatrix}$}}
% \end{picture}
%\end{center}
%\vspace*{.5in}
%\begin{center}
% {{%\fontshape{ol}
% \selectfont\Large Jim Hef{}feron}}
%\end{center}
\vfill
{\bsifamily\Huge Answers to exercises}
\end{center}
\vspace*{2.8in}
\covergraphic
%\maketitle
% \vfill
% \vspace*{.5in}
% \begin{center}
% {\large Answers to Exercises} \\[.25in]
% %from \\[.25in]
% {\bsifamily\Huge Linear Algebra} \\[.15in]
% %by \\[.15in]
% {\large Jim Hef{}feron}
% %{{\fontshape{ol}\selectfont\Large Jim Hef{}feron}} \\[.25in]
% %{\Large \today}
% \end{center}
% \vspace*{.5in}
% \begin{center}
% \begin{tabular}{ccc}
% \begin{tabular}{c}
% \includegraphics{ch4.2} \\[\covgraphsep]
% $\begin{vmatrix}
% 1 &2 \\
% 3 &1
% \end{vmatrix}$
% \end{tabular} \\
% &\begin{tabular}{c}
% \includegraphics{ch4.3} \\[\covgraphsep]
% $\begin{vmatrix}
% x\cdot 1 &2 \\
% x\cdot 3 &1
% \end{vmatrix}$
% \end{tabular} \\
% &&\begin{tabular}{c}
% \includegraphics{ch4.4} \\[\covgraphsep]
% $\begin{vmatrix}
% 6 &2 \\
% 8 &1
% \end{vmatrix}$
% \end{tabular}
% \end{tabular}
% \end{center}
% \vfill
%\end{document}
......@@ -3,81 +3,31 @@
%\begin{document}
%\pagestyle{empty}
\title{Linear Algebra}
\newgeometry{margin=1in}
\author{Jim Hef{}feron}
\date{\today}
\thispagestyle{empty}
\noindent\makebox[0em][l]{\makebox[8.5in]{%
\begin{tabular}{r}
{\Large Jim Hef{}feron} \\[1ex]
{\large \url{http://joshua.smcvt.edu/linearalgebra}}
\end{tabular}}}
%\maketitle
% \noindent\makebox[0em][l]{\makebox[8.5in]{%
% \begin{tabular}{r}
% {\Large Jim Hef{}feron} \\[1ex]
% {\large \url{http://joshua.smcvt.edu/linearalgebra}}
% \end{tabular}}}
\vspace*{.7in}
\coverauthor{}
\vspace*{5in}
\noindent\makebox[0pt][l]{\contourlength{1.4pt}
\rule{-1.9in}{0em}
\fontsize{260pt}{8pt}
{\fontfamily{qzc}\itshape\selectfont \contour{darkcolor}{\textcolor{lightcolor}{Linear}}}
} \\[-2.15in]
\noindent\makebox[0pt][l]{\rule{3.75in}{0pt}%
\makebox[0pt][l]{\contourlength{0.6pt} %
\fontsize{65pt}{10pt}
{\fontfamily{qzc}\itshape\selectfont \contour{flourishcolor}{\textcolor{white}{Algebra}}}
}
}
% \makebox[0pt][l]{\rule{4.5in}{0pt}%
% \begin{turn}{270}
% \rule{.5in}{0pt}%
\covergraphic{}
% \noindent\makebox[0pt][l]{\contourlength{1.4pt}
% \rule{-1.9in}{0em}
% \fontsize{260pt}{8pt}
% {\fontfamily{qzc}\itshape\selectfont \contour{darkcolor}{\textcolor{lightcolor}{Linear}}}
% } \\[-2.15in]
% \noindent\makebox[0pt][l]{\rule{3.75in}{0pt}%
% \makebox[0pt][l]{\contourlength{0.6pt} %
% \fontsize{150pt}{10pt}
% \fontsize{65pt}{10pt}
% {\fontfamily{qzc}\itshape\selectfont \contour{flourishcolor}{\textcolor{white}{Algebra}}}
% }
% \end{turn}}
% \begin{center}
% % horizontal
% \makebox[0pt]{\rule{.65in}{0pt}
% \contourlength{1.4pt}
% \contour{darkcolor}{\fontsize{250pt}{10pt}
% {\fontfamily{qzc}\selectfont \textcolor{lightcolor}{Linear}}}} \\[.25in]
% % \begin{turn}{270}
% \makebox[0pt][l]{\rule{-.5in}{0ex}%
% \contourlength{2pt}
% % \contour{flourishcolor}{%
% {\fontfamily{qzc}\selectfont\fontsize{50pt}{10pt}\textcolor{red}{Algebra}}%}
% }
% \end{turn} \\[.25in]
% \begin{turn}{270}
% \makebox[0pt][l]{\rule{-.5in}{0ex}%
% \contourlength{2pt}
% \contour{darkcolor}{\fontsize{350pt}{10pt}\normalfont\textcolor{red}{Linear}}}
% \end{turn} \\[.25in]
% \end{center}
% \vspace*{.25in}
% \begin{center}
% \begin{tabular}{ccc}
% \begin{tabular}{c}
% \includegraphics{ch4.2} \\[\covgraphsep]
% {\small $\begin{vmatrix}
% 1 &2 \\
% 3 &1
% \end{vmatrix}$}
% \end{tabular} \\
% &\begin{tabular}{c}
% \includegraphics{ch4.3} \\[\covgraphsep]
% {\small $\begin{vmatrix}
% x_1\cdot 1 &2 \\
% x_1\cdot 3 &1
% \end{vmatrix}$}
% \end{tabular} \\
% &&\begin{tabular}{c}
% \includegraphics{ch4.4} \\[\covgraphsep]
% {\small $\begin{vmatrix}
% 6 &2 \\
% 8 &1
% \end{vmatrix}$}
% \end{tabular}
% \end{tabular}
% \end{center}
\vfill
\restoregeometry %
%\end{document}
No preview for this file type
......@@ -6,7 +6,7 @@
\vspace*{.4in plus .1in minus .05in}
\par\noindent
This book helps students to master the material of a standard
US undergraduate linear algebra course.
US undergraduate first course in Linear Algebra.
The material is standard in that the subjects covered are
Gaussian reduction,
......@@ -146,9 +146,12 @@ for the license details.
That page also contains this book's latest version,
answers to the exercises, and the \LaTeX\ source.
I am glad to get bug reports.
A text is a large and complex project and one of the lessons of software
development is that errors are bound to find their way in.
I welcome bug reports
(contributions are acknowledged in the source).
I save them and periodically issue revisions.
See the contact information on the web page.
Please see the contact information on the web page.
\newcommand{\classday}[1]{\textsc{#1}}
......@@ -156,13 +159,13 @@ See the contact information on the web page.
%\vspace*{.5in}
\medskip
\noindent{\bf If you are reading this book on your own.}
\noindent{\bf If you are reading this on your own.}
%\smallskip
%
This book's emphasis on motivation and development
and its availability make it widely used for self-study.
This book's emphasis on motivation and development,
and its availability, make it widely used for self-study.
If you are an independent student
then you may find some advice helpful.
then you may find some advice from me helpful.
While an experienced instructor knows what subjects and
pace suit their class, you may find useful these
......@@ -263,18 +266,19 @@ and of Linear Algebra in particular.
\hspace*{1in}\textit{--Wilbur Wright}
\end{tabular}
\vspace{3ex}
\par\ \hfill\begin{tabular}[t]{@{}l@{}}
Jim Hef{}feron \\
Mathematics, Saint Michael's College \\
Colchester, Vermont\ USA 05439 \\
\url{http://joshua.smcvt.edu/linearalgebra} \\
2012-Jan-27
2012-Feb-29
\end{tabular}
\vfill
\par\noindent\textit{Author's Note.}
Inventing a good exercise\Dash one that enlightens as well as tests\Dash
is a creative act, and hard work.
Inventing a good exercise, one that enlightens as well as tests,
is a creative act and hard work.
The inventor deserves recognition.
But texts have traditionally not given attributions for
questions.
......
......@@ -41,9 +41,9 @@
\( Z_{\nbym{n}{m}},Z,I_{\nbyn{n}},I \) &zero matrix, identity matrix \\
\( \deter{T} \) &determinant of the matrix \( T \) \\
\( \rangespace{h},\nullspace{h} \)
&rangespace and nullspace of the map \( h \) \\
&range space and null space of the map \( h \) \\
\( \genrangespace{h},\gennullspace{h} \)
&generalized rangespace and nullspace
&generalized range space and null space
\end{tabular}
\end{center}\vfill
\begin{center}
......
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