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matematik-2.tex
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matematik-2.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}
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\usepackage{fancyhdr}
\usepackage{showlabels}
}{
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}
\addbibresource{matematik-2.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}
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\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}}
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\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}
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\pagestyle{ams}
}{}
\title[Matematik 2c]{
Matematik 2c:\\
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 och algebra}
\include{logaritm}
\include{algebra}
\include{komplexa}
\part{Ekvationer}
\include{linjekvsys}
\include{expekv}
\include{andragradekv}
\part{Geometri}
\include{kurvor}
\include{likform}
\part{Samband och förändring}
\include{andragradsfunk}
\include{funkgraf}
\part{Sannolikhet och statistik}
\include{normalfordeln}
\include{stdavvik}
\include{regression}
% appendices
\appendix
\ifdraft{
\doublespacing
}{}
%\include{kursplanering}
\backmatter
\ifdraft{
\singlespacing
}{}
\include{backmatter}
\clearpage
\end{document}