Commit 4047c798 by 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} ... ...
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 ... ... @@ -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
 ... ... @@ -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}
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 ... ... @@ -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} ... ...