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matematik-4.tex
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% $Id$
%
% Copyright 2013; Daniel Bosk <daniel@bosk.se>
%
% This work is licensed under the Creative Commons Attribution-ShareAlike 3.0
% Unported license. To view a copy of this license, visit URL
%
% http://creativecommons.org/licenses/by-sa/3.0/.
%
\documentclass[a4paper,titlepage,reqno,final,twoside]{amsbook}
\usepackage{fixltx2e}
\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[german,english,ibycus,swedish]{babel}
\usepackage{graphicx}
\usepackage[hyphens]{url}
\usepackage{hyperref}
\usepackage{lettrine}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{csquotes}
\usepackage[natbib,style=alphabetic,maxbibnames=99]{biblatex}
\usepackage{setspace}
\usepackage{nomencl}
\usepackage{marginnote}
\usepackage{subfig}
\usepackage{booktabs}
\usepackage[multiple]{footmisc}
\usepackage{verbatim}
\usepackage{varioref,prettyref}
\usepackage{ifdraft}
\usepackage{asymptote}
\ifdraft{
\usepackage{fancyhdr}
\usepackage{showlabels}
}{
\usepackage[a4paper,rmargin=7cm,lmargin=2.5cm,bmargin=3.5cm]{geometry}
}
\addbibresource{matematik-4.bib}
\newtheorem{theorem}{Sats}[chapter]
\newtheorem{proposition}{Proposition}[chapter]
\newtheorem{lemma}{Lemma}[chapter]
\newtheorem{corollary}{Korollarium}[chapter]
\newtheorem{conjecture}{Förmodan}[chapter]
\theoremstyle{definition}
\newtheorem{axiom}{Axiom}[chapter]
\newtheorem{definition}{Definition}[chapter]
\newtheorem{example}{Exempel}[chapter]
\newtheorem{exercise}{Övning}[chapter]
\theoremstyle{remark}
\newtheorem{remark}{Anmärkning}[chapter]
\numberwithin{section}{chapter}
\numberwithin{equation}{chapter}
\renewcommand{\reftextbefore}{(föregående sida)}
\renewcommand{\reftextfacebefore}{(föregående sida)}
\renewcommand{\reftextafter}{(nästa sida)}
\renewcommand{\reftextfaceafter}{(nästa sida)}
\renewcommand{\reftextfaraway}[1]{(sidan \pageref{#1})}
\newrefformat{ch}{kapitel \ref{#1}}
\newrefformat{sec}{avsnitt \ref{#1}}
\newrefformat{app}{bilaga \ref{#1}}
\newrefformat{tab}{tabell \vref{#1}}
\newrefformat{tbl}{tabell \vref{#1}}
\newrefformat{fig}{figur \vref{#1}}
\newrefformat{ax}{axiom \ref{#1}}
\newrefformat{def}{definition \ref{#1}}
\newrefformat{thm}{sats \ref{#1}}
\newrefformat{pro}{proposition \ref{#1}}
\newrefformat{lem}{lemma \ref{#1}}
\newrefformat{cor}{korollarium \ref{#1}}
\newrefformat{ex}{exempel \ref{#1}}
\newrefformat{xrc}{övning \ref{#1}}
\newrefformat{remark}{anmärkning \ref{#1}}
\renewcommand{\qedsymbol}{Q.E.D.}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\powerset}{\mathcal{P}}
\newcommand{\U}{\mathcal{U}}
\newcommand{\V}{\mathcal{V}}
\DeclareMathOperator{\card}{card}
\DeclareMathOperator{\tnot}{icke}
\DeclareMathOperator{\tor}{eller}
\DeclareMathOperator{\tand}{och}
\DeclareMathOperator{\lequiv}{\Longleftrightarrow}
\DeclareMathOperator{\congruent}{\equiv}
\let\stoch\relax
\DeclareMathOperator{\xor}{\oplus}
\makenomenclature
\makeindex
\begin{document}
\ifdraft{
\fancypagestyle{plain}{
\renewcommand{\headrulewidth}{0pt}
\fancyhead{}
\fancyfoot[co,ce]{\thepage}
\fancyfoot[ro,le]{dbosk-\today}
}
\fancypagestyle{ams}{
\renewcommand{\headrulewidth}{0pt}
\fancyhead[ce]{\small\leftmark}
\fancyhead[co]{\small\rightmark}
\fancyhead[lo,re]{}
\fancyhead[ro,le]{\thepage}
\fancyfoot[ro,le]{dbosk-\today}
}
\pagestyle{ams}
}{}
\title[Matematik 4]{
Matematik 4:\\
En framställning med formell matematik\\
för 2011 års ämnesplan för gymnasieskolan
}
\author{Daniel Bosk}
\frontmatter
\include{frontmatter}
\include{preface}
\mainmatter
\ifdraft{
\doublespacing
}{}
% main chapters
\include{intro}
\part{Tal, aritmetik, algebra och geometri}
\include{komplexatal}
\include{komplexrot}
\include{trigonometri}
\part{Samband och förändring}
\include{funktioner}
\include{derivering}
\include{integrering}
\include{differentialekv}
% appendices
\appendix
\ifdraft{
\doublespacing
}{}
%\include{kursplanering}
\backmatter
\ifdraft{
\singlespacing
}{}
\include{backmatter}
\clearpage
\end{document}