vector-calculus.tex

\documentclass[11pt,oneside]{book} %
\usepackage{amsmath,amssymb,mathtools}
\usepackage{amsfonts,amsthm} % For math equations, theorems, symbols, etc
\usepackage{caption,graphicx}
\usepackage[usenames,dvipsnames,svgnames,table]{xcolor}
\usepackage[disable]{todonotes}
\usepackage[utf8]{inputenc}
\usepackage{pgfplots}
\usepackage{overpic}
\captionsetup{width=0.5\linewidth}
\newcommand{\hangcaption}{\caption}
\usepackage[style=numeric,citestyle=numeric,firstinits=true,sorting=nyt,sortcites=true,autopunct=true,babel=hyphen,hyperref=true,abbreviate=false,backref=true]{biblatex}
\linespread{1.2}
\input{comandos2}
\input{structure} 
\input{teoremas}
\definecolor{shadecolor}{rgb}{0.851,0.9532,0.9532}
\definecolor{shadecolorborda}{rgb}{0.0936,0.531,0.593}
\definecolor{leftbarcolor}{rgb}{0.91,0.91,0.7187}
\definecolor{exerccolorborda}{rgb}{0.586,0.757,0.886}
\definecolor{exerccolor}{rgb}{0.816,0.902,0.96}
\renewcommand{\d}{\mathrm{d}}

\begin{document}
\Opensolutionfile{multicaca}[multicaca1]

\input{titulo4}
\makeatletter
\AddToShipoutPicture{%
            \setlength{\@tempdimb}{.5\paperwidth}%
            \setlength{\@tempdimc}{.5\paperheight}%
            \setlength{\unitlength}{1pt}%
            \put(\strip@pt\@tempdimb,\strip@pt\@tempdimc){%
        \makebox(0,0){\rotatebox{45}{\textcolor[gray]{0.97}%
        {\fontsize{5cm}{5cm}\selectfont{Draft}}}%
            }%
}}

%----------------------------------------------------------------------------------------
%	COPYRIGHT PAGE
%----------------------------------------------------------------------------------------

\newpage
~\vfill
\thispagestyle{empty}


%pdf2htmlEX  --split-pages 1 --fit-width 980 --bg-format jpg  --dest-dir vector-tensor-calculus --page-filename vector-tensor-calculus-%d.page main2.pdf
\noindent
\begin{quote}
    Copyright \copyright{}2017\\
    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.
\begin{center}
 \includegraphics[width=4cm]{./figs/gnu.eps}
\end{center}


    \vspace{0.5cm}

These notes were written  based on and using excerpts from the book
``Multivariable and Vector Calculus'' by David Santos and  includes  excerpts
from
``Vector Calculus'' by Michael Corral, from ``Linear Algebra via Exterior
Products'' by Sergei Winitzki, ``Linear Algebra'' by David Santos and from ``Introduction to Tensor Calculus'' by Taha Sochi.

    These books are also available  under the terms of the GNU Free Documentation License.
\end{quote}

\listoftodos[Corrections and Todo Notes]


 \input{history}
\cleardoublepage
%  \chapter*{Contents}
\pagestyle{empty} % No headers

\tableofcontents% Print the table of contents itself
\cleardoublepage% Forces the first chapter to start on an odd page so it's on the right
\pagestyle{fancy} % Print headers again



 \part{Differential Vector Calculus}
 \input{chapter1} %Vectors n
\input{chapter1b} %topology
 \input{chapter2} %Differentiation
  \part{Integral Vector Calculus}
 \input{chapter3b} %multiple integrals
 \input{chapter2-inv} %Curves and Surfaces
 \input{chapter4} %line Integral
 \input{chapter5b} % surface
 \part{Tensor Calculus}
 \input{curv} %curvilinear Coordinates
\input{chapter6} %Tensor
\input{chapter7} % Tensores em Coordenadas
\input{chapter7a} %cAmpos tensoriais
 \part{Applications of Tensor Calculus}

\input{chapter7b} % Aplicações
\input{chapter8} %Integration of Forms
\part{Appendix}
\appendix
 \input{inverse} %%%Inverse Function Theorem
 \input{determinant}
\Closesolutionfile{multicaca}
\chapter{Answers and Hints}\addcontentsline{toc}{section}{Answers and Hints}\markright{Answers and Hints}
{\small \input{multicaca1}}
\input{gnu}
\nocite{*}
\addcontentsline{toc}{chapter}{{References}}
\printbibliography
\setlength{\columnsep}{0.75cm}
\addcontentsline{toc}{chapter}{\textcolor{ocre}{Index}}
\printindex

\end{document}