add files

56 files changed, 1828 insertions, 0 deletions

diff --git a/buch/Makefile b/buch/Makefile
new file mode 100755
index 0000000..722c177
--- /dev/null
+++ b/buch/Makefile
@@ -0,0 +1,35 @@
+#
+# Makefile zum Skript ueber Matrizen
+#
+# (c) 2020 Prof Dr Andreas Mueller, Hochschule Rapperswil
+#
+all:	buch.pdf
+
+papers/common/Makefile.inc:	papers/common/paperlist
+
+include common/Makefile.inc
+include chapters/Makefile.inc
+include papers/common/Makefile.inc
+include papers/common/includes.inc
+
+ALLTEXFILES = $(TEXFILES) $(CHAPTERFILES)
+
+buch.pdf:	buch.tex $(TEXFILES) buch.ind $(BLXFILES)
+	pdflatex buch.tex
+	bibtex buch
+
+buch.idx:	buch.tex $(TEXFILES) images
+	touch buch.ind
+	pdflatex buch.tex
+
+buch.ind:	buch.idx
+	makeindex buch.idx
+
+separate:	buch.aux buch.pdf
+	bash splitpapers
+
+numerik.pdf:	
+	pdfjam --outfile numerik.pdf \
+		../cover/front.pdf 1,{} \
+		buch.pdf 1-504 \
+		../cover/back.pdf {},1
diff --git a/buch/chapters/00-einleitung/Makefile b/buch/chapters/00-einleitung/Makefile
new file mode 100644
index 0000000..02e936d
--- /dev/null
+++ b/buch/chapters/00-einleitung/Makefile
@@ -0,0 +1,7 @@
+#
+# Makefile -- Bilder für die Einleitung bauen
+#
+# (c) 2020 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+images:
+
diff --git a/buch/chapters/00-einleitung/Makefile.inc b/buch/chapters/00-einleitung/Makefile.inc
new file mode 100644
index 0000000..c1b3ca0
--- /dev/null
+++ b/buch/chapters/00-einleitung/Makefile.inc
@@ -0,0 +1,8 @@
+#
+# Makefile.inc -- Makefile dependencies for chapter 0
+#
+# (c) 2020 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+
+CHAPTERFILES = $(CHAPTERFILES)						\
+	chapters/00-einleitung/chapter.tex
diff --git a/buch/chapters/00-einleitung/chapter.tex b/buch/chapters/00-einleitung/chapter.tex
new file mode 100644
index 0000000..4c49622
--- /dev/null
+++ b/buch/chapters/00-einleitung/chapter.tex
@@ -0,0 +1,10 @@
+%
+% einleitung.tex
+%
+% (c) 2020 Prof Dr Andreas Müller
+%
+\chapter*{Einleitung\label{chapter:einleitung}}
+\lhead{Einleitung}
+\rhead{}
+\addcontentsline{toc}{chapter}{Einleitung}
+
diff --git a/buch/chapters/10-vektorenmatrizen/Makefile b/buch/chapters/10-vektorenmatrizen/Makefile
new file mode 100644
index 0000000..7dade13
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/Makefile
@@ -0,0 +1,7 @@
+#
+# Makefile -- Bilder für Kapitel 1 bauen
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+images:
+
diff --git a/buch/chapters/10-vektorenmatrizen/Makefile.inc b/buch/chapters/10-vektorenmatrizen/Makefile.inc
new file mode 100644
index 0000000..d0a1805
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/Makefile.inc
@@ -0,0 +1,8 @@
+#
+# Makefile.inc -- Makefile dependencies for chapter 1
+#
+# (c) 2020 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+
+CHAPTERFILES = $(CHAPTERFILES)						\
+	chapters/10-matrizenvektoren/chapter.tex
diff --git a/buch/chapters/10-vektorenmatrizen/chapter.tex b/buch/chapters/10-vektorenmatrizen/chapter.tex
new file mode 100644
index 0000000..d26f2a9
--- /dev/null
+++ b/buch/chapters/10-vektorenmatrizen/chapter.tex
@@ -0,0 +1,9 @@
+%
+% chapter.tex -- Kapitel mit den Grunddefinition und Notationen
+%
+% (c) 2020 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\chapter{Vektoren und Matrizen
+\label{buch:chapter:vektoren-und-matrizen}}
+\lhead{Vektoren und Matrizen }
+
diff --git a/buch/chapters/20-polynome/Makefile b/buch/chapters/20-polynome/Makefile
new file mode 100644
index 0000000..6b83cbe
--- /dev/null
+++ b/buch/chapters/20-polynome/Makefile
@@ -0,0 +1,7 @@
+#
+# Makefile -- Bilder für Kapitel 2 bauen
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+images:
+
diff --git a/buch/chapters/20-polynome/Makefile.inc b/buch/chapters/20-polynome/Makefile.inc
new file mode 100644
index 0000000..06576f3
--- /dev/null
+++ b/buch/chapters/20-polynome/Makefile.inc
@@ -0,0 +1,8 @@
+#
+# Makefile.inc -- Makefile dependencies for chapter 2
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+
+CHAPTERFILES = $(CHAPTERFILES)						\
+	chapters/20-polynome/chapter.tex
diff --git a/buch/chapters/20-polynome/chapter.tex b/buch/chapters/20-polynome/chapter.tex
new file mode 100644
index 0000000..4156c15
--- /dev/null
+++ b/buch/chapters/20-polynome/chapter.tex
@@ -0,0 +1,9 @@
+%
+% chapter.tex -- Kapitel über Polynome
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\chapter{Polynome
+\label{buch:chapter:polynome}}
+\lhead{Polynome}
+
diff --git a/buch/chapters/40-eigenwerte/Makefile b/buch/chapters/40-eigenwerte/Makefile
new file mode 100644
index 0000000..57e1d66
--- /dev/null
+++ b/buch/chapters/40-eigenwerte/Makefile
@@ -0,0 +1,7 @@
+#
+# Makefile -- Bilder für Kapitel 4 bauen
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+images:
+
diff --git a/buch/chapters/40-eigenwerte/Makefile.inc b/buch/chapters/40-eigenwerte/Makefile.inc
new file mode 100644
index 0000000..f8050bf
--- /dev/null
+++ b/buch/chapters/40-eigenwerte/Makefile.inc
@@ -0,0 +1,8 @@
+#
+# Makefile.inc -- Makefile dependencies for chapter 4
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+
+CHAPTERFILES = $(CHAPTERFILES)						\
+	chapters/40-eigenwerte/chapter.tex
diff --git a/buch/chapters/40-eigenwerte/chapter.tex b/buch/chapters/40-eigenwerte/chapter.tex
new file mode 100644
index 0000000..bc3fd98
--- /dev/null
+++ b/buch/chapters/40-eigenwerte/chapter.tex
@@ -0,0 +1,9 @@
+%
+% chapter.tex -- Kapitel über endliche Körper
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\chapter{Eigenwerte und Eigenvektoren
+\label{buch:chapter:eigenwerte-und-eigenvektoren}}
+\lhead{Eigenwerte und Eigenvektoren}
+
diff --git a/buch/chapters/Makefile b/buch/chapters/Makefile
new file mode 100644
index 0000000..7cf8137
--- /dev/null
+++ b/buch/chapters/Makefile
@@ -0,0 +1,20 @@
+#
+# Makefile -- build stuff used in subdirectories
+#
+# (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+# 
+CHAPTERS =								\
+	00-einleitung 10-vektorenmatrizen
+
+images:
+	@for d in ${CHAPTERS};						\
+	do								\
+		(							\
+			if [ -f $${d}/Makefile ];			\
+			then						\
+				echo "make images in $${d}";		\
+				cd $${d};				\
+				make images;				\
+			fi;						\
+		);							\
+	done
diff --git a/buch/chapters/Makefile.inc b/buch/chapters/Makefile.inc
new file mode 100644
index 0000000..660e6d6
--- /dev/null
+++ b/buch/chapters/Makefile.inc
@@ -0,0 +1,15 @@
+#
+# Makefile.inc
+#
+# (c) 2020 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+
+CHAPTERFILES = 								\
+	chapters/part1.tex						\
+	chapters/vorwort.tex
+
+include chapters/00-einleitung/Makefile.inc
+include chapters/10-vektorenmatrizen/Makefile.inc
+include chapters/20-polynome/Makefile.inc
+include chapters/30-endlichekoerper/Makefile.inc
+include chapters/40-eigenwerte/Makefile.inc
diff --git a/buch/chapters/part1.tex b/buch/chapters/part1.tex
new file mode 100644
index 0000000..153e486
--- /dev/null
+++ b/buch/chapters/part1.tex
@@ -0,0 +1,25 @@
+%
+% part1.tex
+%
+% (c) 2018 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\begin{refsection}
+\input{chapters/vorwort.tex}
+\part{Grundlagen}
+\input{chapters/00-einleitung/chapter.tex}
+\input{chapters/10-vektorenmatrizen/chapter.tex}
+\input{chapters/20-polynome/chapter.tex}
+\input{chapters/30-endlichekoerper/chapter.tex}
+\input{chapters/40-eigenwerte/chapter.tex}
+%\begin{appendices}
+%\end{appendices}
+\vfill
+\pagebreak
+\ifodd\value{page}\else\null\clearpage\fi
+\lhead{Literatur}
+\rhead{}
+\printbibliography[heading=subbibliography]
+\label{buch:literatur}
+\end{refsection}
+
+
diff --git a/buch/chapters/references.bib b/buch/chapters/references.bib
new file mode 100644
index 0000000..ab0b7ab
--- /dev/null
+++ b/buch/chapters/references.bib
@@ -0,0 +1,90 @@
+%
+% references.bib
+%
+% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+
+@book{buch:mathsem-dgl,
+	title = {Mathematisches Seminar Differentialgleichungen},
+	author = { Andreas M"uller and others },
+	year = {2016},
+}
+
+@online{buch:fftw,
+	title = {Fastest Fourier Transform in the West},
+	url = {http://www.fftw.org/},
+        DAY = {23},
+        MONTH = {july},
+        YEAR = 2018
+}
+
+@online{buch:repo,
+	subtitle = {Source Code Repository},
+	author = {Andreas Müller},
+	url = {https://github.com/AndreasFMueller/SeminarNumerik.git},
+	DAY = 6,
+	MONTH = {february},
+	YEAR = 2020
+}
+
+@book{buch:henrici,
+	author = {Peter Henrici},
+	title = {Essentials of numerical analysis},
+	subtitle = {With pocket calculator demonstrations},
+	year = 1982,
+	publisher = {John Wiley and Sons, Inc.},
+	isbn = {0-471-05904-8}
+}
+
+@online{buch:tartaglia,
+        title = {Niccolò Tartaglia},
+        url = {https://de.wikipedia.org/wiki/Niccolò_Tartaglia},
+        date = {2020-02-06},
+        year = {2020},
+        month = {2},
+        day = {6}
+}
+
+@online{buch:kahan-summation,
+	title = {Kahan summation algorithm},
+	url = {https://en.wikipedia.org/wiki/Kahan_summation_algorithm},
+	date = {2020-02-29},
+	year = {2020},
+	month = {2},
+	day = {29}
+}
+
+@book{buch:watkins,
+	title = {Fundamentals of Matrix Computations},
+	author = {David S. Watkins},
+	year = 2010,
+	publisher = {John Wiley and Sons, Inc.},
+	edition = {3}
+}
+
+@online{buch:lissajous,
+	title = {Makeing Shapes with PSLab Oscilloscope},
+	author = {CloudyPadmal},
+	year = 2018,
+	url = {https://blog.fossasia.org/making-shapes-with-pslab-oscilloscope/},
+	DAY = 7,
+	month = 3,
+	year = 2020
+}
+@book{buch:richardson,
+	title = {The emergence of numerical weather prediction: Richardson's dream},
+	author = {Peter Lynch},
+	year = 2006,
+	publisher = {Cambridge University Press},
+	isbn = {978-0-52-185729-1}
+}
+
+@book{buch:dieudonne,
+	title={Foundations of Modern Analysis},
+	author={Jean Dieudonn{\'e}},
+	number={Vol. 1},
+	lccn={60008049},
+	series={Dieudonn{\'e}, Jean: Treatise on analysis},
+	year={1960},
+	publisher={Academic Press}
+}
diff --git a/buch/chapters/vorwort.tex b/buch/chapters/vorwort.tex
new file mode 100644
index 0000000..784fc15
--- /dev/null
+++ b/buch/chapters/vorwort.tex
@@ -0,0 +1,32 @@
+%
+% vorwort.tex -- Vorwort zum Buch zum Seminar
+%
+% (c) 2019 Prof Dr Andreas Mueller, Hochschule Rapperswil
+%
+\chapter*{Vorwort}
+\lhead{Vorwort}
+\rhead{}
+Dieses Buch entstand im Rahmen des Mathematischen Seminars
+im Frühjahrssemester 2021 an der Ostschweizer Fachhochschule in Rapperswil.
+Die Teilnehmer, Studierende der Studiengänge für Elektrotechnik,
+Informatik und Bauingenieurwesen 
+der OST, erarbeiteten nach einer Einführung in das Themengebiet jeweils
+einzelne Aspekte des Gebietes in Form einer Seminararbeit, über
+deren Resultate sie auch in einem Vortrag informierten. 
+
+Im Frühjahr 2021 war das Thema des Seminars die Matrizen.
+Ziel war, die Vielfalt der Anwendungsmöglichkeiten dieser einfachen
+Datenstruktur zu zeigen.
+
+In einigen Arbeiten wurde auch Code zur Demonstration der 
+besprochenen Methoden und Resultate geschrieben, soweit
+möglich und sinnvoll wurde dieser Code im Github-Repository
+\index{Github-Repository}%
+dieses Kurses%
+\footnote{\url{https://github.com/AndreasFMueller/SeminarMatrizen.git}}
+\cite{buch:repo}
+abgelegt.
+Im genannten Repository findet sich auch der Source-Code dieses
+Skriptes, es wird hier unter einer Creative Commons Lizenz
+zur Verfügung gestellt.
+
diff --git a/buch/common/3dimagetemplate.tex b/buch/common/3dimagetemplate.tex
new file mode 100644
index 0000000..5706a42
--- /dev/null
+++ b/buch/common/3dimagetemplate.tex
@@ -0,0 +1,37 @@
+%
+% 3dimagetemplate.tex
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{times}
+\usepackage{amsmath}
+\usepackage{txfonts}
+\usepackage[utf8]{inputenc}
+\usepackage{graphics}
+\usetikzlibrary{arrows,intersections,math}
+\usepackage{ifthen}
+\begin{document}
+
+\newboolean{showgrid}
+\setboolean{showgrid}{false}
+\def\breite{7}
+\def\hoehe{4}
+
+\begin{tikzpicture}[>=latex,thick]
+
+% Povray Bild
+\node at (0,0) {\includegraphics[width=14cm]{3dimage.jpg}};
+
+% Gitter
+\ifthenelse{\boolean{showgrid}}{
+\draw[step=0.1,line width=0.1pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw[step=0.5,line width=0.4pt] (-\breite,-\hoehe) grid (\breite, \hoehe);
+\draw                            (-\breite,-\hoehe) grid (\breite, \hoehe);
+\fill (0,0) circle[radius=0.05];
+}{}
+
+\end{tikzpicture}
+
+\end{document}
+
diff --git a/buch/common/Makefile.inc b/buch/common/Makefile.inc
new file mode 100755
index 0000000..fec5a33
--- /dev/null
+++ b/buch/common/Makefile.inc
@@ -0,0 +1,52 @@
+#
+# Makefile.inc -- gemeinsame Teile des Makefiles für das Buchprojekt
+#
+# (c) 2021 Prof Dr Andreas Mueller, OST Ostschweizer Fachhochschule
+#
+
+
+SUBDIRECTORIES = chapters 
+
+.PHONY:	images
+
+images:
+	for d in $(SUBDIRECTORIES); 					\
+	do 								\
+		(cd $${d}; make images); 				\
+	done
+
+BUCHFILES =								\
+	common/macros.tex						\
+	common/lststyles.tex						\
+	common/packages.tex						\
+	common/titlepage.tex						\
+	common/teilnehmer.tex						\
+	$(CHAPTERS) 							\
+	chapters/references.bib 					\
+	$(PAPERFILES)
+
+THEMA_FILES = 
+
+TEXFILES = $(BUCHFILES) $(THEMA_FILES)
+
+# References des ersten Teils
+
+buch.bbl:		buch.aux
+	bibtex buch
+
+clean:	cleansubdir
+	rm -f *.bbl *.aux *.log *.out *.run.xml *.pdf *.blg *.idx *.ind \
+		*.ilg *.toc *.synctex.gz *.auxlock *.bak *-blx.bib *.dvi
+
+cleansubdir:
+	for d in $(SUBDIRECTORIES);					\
+	do								\
+		if [ -f $${d}/Makefile ];				\
+		then 							\
+			cd $${d}; make clean; cd ..;			\
+		fi;							\
+	done
+
+farbseiten.csv:	farbseiten.txt
+	awk '{ printf("%d,", $$1) } END {printf("\n")}' farbseiten.txt \
+		> farbseiten.csv
diff --git a/buch/common/farbseiten.sh b/buch/common/farbseiten.sh
new file mode 100644
index 0000000..afccf66
--- /dev/null
+++ b/buch/common/farbseiten.sh
@@ -0,0 +1,217 @@
+#! /bin/bsh
+#
+# farbseiten.sh -- Formattierung der Farbseiteninfo für die Druckerei
+#
+# (c) 2020 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+awk 'BEGIN {
+	result = ""
+	counter = 0
+} 
+{
+	if (length(result) == 0) {
+		result = $1
+	} else {
+		result = sprintf("%s,%d", result, $1)
+	}
+	counter++
+}
+END {
+	printf("%s\n", result)
+	printf("Anzahl Farbseiten: %d\n", counter)
+}' <<EOF
+13
+16
+17
+19
+21
+23
+24
+25
+29
+30
+31
+34
+37
+42
+45
+49
+50
+52
+53
+55
+59
+65
+71
+72
+74
+76
+77
+78
+84
+85
+87
+88
+90
+91
+95
+100
+104
+107
+109
+110
+111
+113
+114
+116
+117
+120
+122
+123
+125
+140
+149
+150
+154
+155
+161
+162
+163
+165
+167
+170
+177
+187
+189
+190
+191
+192
+197
+204
+209
+210
+216
+217
+219
+220
+224
+225
+226
+228
+229
+230
+232
+233
+235
+236
+239
+241
+245
+246
+251
+266
+268
+269
+270
+271
+272
+273
+276
+278
+281
+284
+285
+286
+287
+288
+293
+300
+304
+305
+306
+307
+309
+310
+311
+312
+313
+316
+318
+319
+321
+324
+326
+328
+329
+332
+333
+334
+335
+336
+337
+338
+339
+340
+341
+342
+345
+347
+348
+349
+350
+352
+353
+357
+358
+359
+360
+365
+369
+370
+378
+387
+388
+389
+390
+391
+401
+404
+405
+406
+407
+408
+410
+411
+412
+414
+415
+416
+418
+420
+422
+423
+424
+425
+426
+427
+428
+434
+435
+436
+443
+447
+448
+449
+452
+455
+456
+457
+458
+460
+461
+469
+473
+474
+475
+481
+EOF
diff --git a/buch/common/lststyles.tex b/buch/common/lststyles.tex
new file mode 100644
index 0000000..b1105ed
--- /dev/null
+++ b/buch/common/lststyles.tex
@@ -0,0 +1,139 @@
+%
+% lststyles.tex -- styles for the listings package
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+
+%
+% lststyle for Matlab
+%
+\usepackage{listings}
+\usepackage{color} %red, green, blue, yellow, cyan, magenta, black, white
+\definecolor{mygreen}{RGB}{28,172,0} % color values Red, Green, Blue
+\definecolor{mylilas}{RGB}{170,55,241}
+
+\lstdefinestyle{Matlab}{
+  numbers=left,
+  belowcaptionskip=1\baselineskip,
+  breaklines=true,
+  frame=L,
+  linewidth=13cm,
+  xleftmargin=1cm,
+  language=Matlab,
+  showstringspaces=false,
+  basicstyle=\footnotesize\ttfamily,
+  keywordstyle=\bfseries\color{green!40!black},
+  commentstyle=\itshape\color{purple!40!black},
+  identifierstyle=\color{blue},
+  stringstyle=\color{orange},
+  numberstyle=\ttfamily\tiny,
+  morestring=*[d]{"},
+  numbersep=9pt,
+  captionpos=b
+}
+\lstdefinelanguage{Matlab}{
+  keywords={function,global,zeros,switch,case,otherwise,end,sin,cos,cot,%
+    floor,ode45,hold,polarplot,for,if,else,norm,abs,diag,sqrt,randn,hess,format,short,long},
+  sensitive=true
+}
+
+%
+% lst style for Maxima
+%
+\lstdefinelanguage{Maxima}{
+  keywords={addrow,addcol,zeromatrix,ident,augcoefmatrix,ratsubst,sum,diff,%
+    ev,tex,with_stdout,nouns,express,depends,load,length,submatrix,div,grad,%
+    curl,matrix,invert,lambda,facsum,expand,false,then,if,else,subst,%
+    batchload,rootscontract,solve,part,assume,sqrt,integrate,abs,inf,exp,%
+    sin,cos,sinh,cosh,taylor,ratsimp},
+  sensitive=true,
+  comment=[n][\itshape]{/*}{*/}
+}
+\lstdefinestyle{Maxima}{
+  numbers=left,
+  belowcaptionskip=1\baselineskip,
+  breaklines=true,
+  frame=L,
+  linewidth=13cm,
+  xleftmargin=1cm,
+  language=Maxima,
+  showstringspaces=false,
+  basicstyle=\footnotesize\ttfamily,
+  keywordstyle=\bfseries\color{green!40!black},
+  commentstyle=\itshape\color{purple!40!black},
+  identifierstyle=\color{blue},
+  stringstyle=\color{orange},
+  numberstyle=\ttfamily\tiny
+  captionpos=b
+}
+
+%
+% lst style for Octave
+%
+\lstdefinelanguage{Octave}{
+  keywords={function,global,size,zeros,switch,case,otherwise,end,sin,cos,cot,%
+    floor,ode45,hold,polarplot,endfunction,size,endswitch,cat,printf,%
+    for,endfor,if,return,endif,abs,while,endwhile},
+  sensitive=true,
+}
+
+\lstdefinestyle{Octave}{
+  numbers=left,
+  abovecaptionskip=1\baselineskip,
+  captionpos=b,
+  breaklines=true,
+  frame=L,
+  linewidth=13cm,
+  xleftmargin=1cm,
+  language=Octave,
+  showstringspaces=false,
+  basicstyle=\footnotesize\ttfamily,
+  keywordstyle=\bfseries\color{green!40!black},
+  commentstyle=\itshape\color{purple!40!black},
+  identifierstyle=\color{blue},
+  stringstyle=\color{orange},
+  numberstyle=\ttfamily\tiny,
+}
+
+%
+% lst style for C
+%
+\lstdefinestyle{C}{
+  numbers=left,
+  abovecaptionskip=1\baselineskip,
+  captionpos=b,
+  breaklines=true,
+  frame=L,
+  linewidth=13cm,
+  xleftmargin=1cm,
+  language=C,
+  showstringspaces=false,
+  basicstyle=\footnotesize\ttfamily,
+  keywordstyle=\bfseries\color{green!40!black},
+  commentstyle=\itshape\color{purple!40!black},
+  identifierstyle=\color{blue},
+  stringstyle=\color{orange},
+  numberstyle=\ttfamily\tiny,
+}
+
+%
+% lst style for Python
+%
+\lstdefinestyle{Python}{
+  numbers=left,
+  abovecaptionskip=1\baselineskip,
+  captionpos=b,
+  breaklines=true,
+  frame=L,
+  linewidth=13cm,
+  xleftmargin=1cm,
+  language=Python,
+  showstringspaces=false,
+  basicstyle=\footnotesize\ttfamily,
+  keywordstyle=\bfseries\color{green!40!black},
+  commentstyle=\itshape\color{purple!40!black},
+  identifierstyle=\color{blue},
+  stringstyle=\color{orange},
+  numberstyle=\ttfamily\tiny
+}
+
diff --git a/buch/common/macros.tex b/buch/common/macros.tex
new file mode 100644
index 0000000..bc1c6ea
--- /dev/null
+++ b/buch/common/macros.tex
@@ -0,0 +1,115 @@
+%
+% macros.tex -- some common macro definitions
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\hypersetup{
+    linktoc=all,
+    linkcolor=blue
+}
+\newcounter{beispiel}
+\newenvironment{beispiele}{
+\bgroup\smallskip\parindent0pt\bf Beispiele\egroup
+
+\begin{list}{\arabic{beispiel}.}
+  {\usecounter{beispiel}
+  \setlength{\labelsep}{5mm}
+  \setlength{\rightmargin}{0pt}
+}}{\end{list}}
+\newcounter{uebungsaufgabezaehler}
+% environment fuer uebungsaufgaben
+\newenvironment{uebungsaufgaben}{%
+}{%
+\vfill\pagebreak}
+\newenvironment{teilaufgaben}{
+\begin{enumerate}
+\renewcommand{\labelenumi}{\alph{enumi})}
+}{\end{enumerate}}
+% Aufgabe
+\newcounter{problemcounter}[chapter]
+\def\aufgabenpath{chapters/uebungsaufgaben/}
+\def\ainput#1{\input\aufgabenpath/#1}
+\def\verbatimainput#1{\expandafter\verbatiminput{\aufgabenpath/#1}}
+\def\aufgabetoplevel#1{%
+\expandafter\def\expandafter\inputpath{#1}%
+\let\aufgabepath=\inputpath
+}
+\def\includeagraphics[#1]#2{\expandafter\includegraphics[#1]{\aufgabepath#2}}
+% \aufgabe
+\renewcommand\theproblemcounter{\thechapter.\arabic{problemcounter}}
+\newcommand{\uebungsaufgabe}[1]{%
+\refstepcounter{problemcounter}%
+\label{#1}%
+\bigskip{\parindent0pt\strut}\hbox{\bf\theproblemcounter. }%
+\expandafter\def\csname aufgabenpath\endcsname{\inputpath/}%
+\expandafter\input{\aufgabenpath/#1.tex}
+}
+% linsys
+\newcolumntype{\linsysR}{>{$}r<{$}}
+\newcolumntype{\linsysL}{>{$}l<{$}}
+\newcolumntype{\linsysC}{>{$}c<{$}}
+\newenvironment{linsys}[1]{%
+\begin{tabular}{*{#1}{\linsysR@{\;}\linsysC}@{\;}\linsysR}}%
+{\end{tabular}}
+
+% Loesung
+\def\swallow#1{
+%nothing
+}
+\NewEnviron{loesung}[1][Lösung]{%
+\begin{proof}[#1]%
+\renewcommand{\qedsymbol}{$\bigcirc$}
+\BODY
+\end{proof}
+}
+\NewEnviron{bewertung}{%
+\begin{proof}[Bewertung]%
+\renewcommand{\qedsymbol}{}
+\BODY
+\end{proof}
+}
+\NewEnviron{diskussion}{%
+\begin{proof}[Diskussion]%
+\renewcommand{\qedsymbol}{}
+\BODY
+\end{proof}
+}
+\NewEnviron{hinweis}{%
+\begin{proof}[Hinweis]%
+\renewcommand{\qedsymbol}{}
+\BODY
+\end{proof}
+}
+\def\keineloesungen{%
+\RenewEnviron{loesung}{\relax}
+\RenewEnviron{bewertung}{\relax}
+\RenewEnviron{diskussion}{\relax}
+}
+\newenvironment{beispiel}{%
+\begin{proof}[Beispiel]%
+\renewcommand{\qedsymbol}{$\bigcirc$}
+}{\end{proof}}
+
+\allowdisplaybreaks
+
+\lhead{Inhaltsverzeichnis}
+\rhead{}
+\tableofcontents
+\newtheorem{satz}{Satz}[chapter]
+\newtheorem{hilfssatz}[satz]{Hilfssatz}
+\newtheorem{korollar}[satz]{Korollar}
+\newtheorem{lemma}[satz]{Lemma}
+\newtheorem{definition}[satz]{Definition}
+\newtheorem{annahme}[satz]{Annahme}
+\newtheorem{problem}[satz]{Problem}
+\newtheorem{aufgabe}[satz]{Aufgabe}
+\newtheorem*{problem*}{Problem}
+\newtheorem{forderung}{Forderung}[chapter]
+\newtheorem{konsequenz}[satz]{Konsequenz}
+\newtheorem{algorithmus}[satz]{Algorithmus}
+\renewcommand{\floatpagefraction}{0.7}
+
+\definecolor{darkgreen}{rgb}{0,0.6,0}
+\definecolor{darkred}{rgb}{0.8,0,0}
+\definecolor{orange}{rgb}{1,0.6,0}
+
diff --git a/buch/common/packages.tex b/buch/common/packages.tex
new file mode 100644
index 0000000..f3c0bb8
--- /dev/null
+++ b/buch/common/packages.tex
@@ -0,0 +1,72 @@
+%
+% packages.tex -- common packages
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\usepackage{etex}
+\usepackage{geometry}
+\geometry{papersize={170mm,240mm},total={140mm,200mm},top=21mm,bindingoffset=10mm}
+\usepackage[english,ngerman]{babel}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{cancel}
+\usepackage{times}
+\usepackage{amsmath,amscd}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+\usepackage{amsthm}
+\usepackage{graphicx}
+\usepackage{fancyhdr}
+\usepackage{textcomp}
+\usepackage{txfonts}
+\newcommand\hmmax{0}
+\newcommand\bmmax{0}
+\usepackage{bm}
+\usepackage{epic}
+\usepackage{verbatim}
+%\usepackage{suffix}
+\usepackage{paralist}
+\usepackage{makeidx}
+\usepackage{array}
+\usepackage{hyperref}
+\usepackage{subfigure}
+\usepackage{tikz}
+\usepackage{pgfplots}
+\usepackage{pgfplotstable}
+\usepackage{pdftexcmds}
+\usepackage{pgfmath}
+\usepackage[autostyle=false,english=american]{csquotes}
+\usepackage{wasysym}
+\usepackage{environ}
+\usepackage{appendix}
+\usepackage{placeins}
+\usepackage[all]{xy}
+\usetikzlibrary{calc,intersections,through,backgrounds,graphs,positioning,shapes,arrows,fit,math}
+\usetikzlibrary{patterns,decorations.pathreplacing}
+\usetikzlibrary{decorations.pathreplacing}
+\usetikzlibrary{external}
+\usetikzlibrary{datavisualization}
+\usepackage[europeanvoltages,
+            europeancurrents,
+            europeanresistors,   % rectangular shape
+            americaninductors,   % "4-bumbs" shape
+            europeanports,       % rectangular logic ports
+            siunitx,             % #1<#2>
+            emptydiodes,
+            noarrowmos,
+            smartlabels]         % lables are rotated in a smart way
+           {circuitikz}          %
+\usepackage{siunitx}
+\usepackage{tabularx}
+\usetikzlibrary{arrows}
+\usepackage{algpseudocode}
+\usepackage{algorithm}
+\usepackage{gensymb}
+\usepackage{mathtools}
+
+% import the listing styles
+\input{common/lststyles.tex}
+
+\usepackage{caption}
+\usepackage[mode=buildnew]{standalone}
+\usepackage[backend=bibtex]{biblatex}
diff --git a/buch/common/teilnehmer.tex b/buch/common/teilnehmer.tex
new file mode 100644
index 0000000..b2100b2
--- /dev/null
+++ b/buch/common/teilnehmer.tex
@@ -0,0 +1,25 @@
+%
+% teilnehmer.tex -- Liste der Seminarteilnehmer auf der Titelseite
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+
+Joshua Baer,                      % E
+Marius Baumann,                   % E
+Reto Fritsche,                    % E
+Ahmet Güzel%,                      % E
+\\
+Pascal Honegger,                  % I
+Alain Keller,                     % E
+Jan Marbach%,                      % E
+\\
+Andrea Mozzin Vellen,             % E
+Naoki Pross,                      % E
+Pascal Andreas Schmid%,            % B
+\\
+Thierry Schwaller,                % E
+Michael Steiner,                  % E
+Tim Tönz,                         % E
+Fabio Viecelli%,                   % B
+\\
+Lukas Zogg%,                       % B
diff --git a/buch/common/tikztemplate.tex b/buch/common/tikztemplate.tex
new file mode 100644
index 0000000..72d0f34
--- /dev/null
+++ b/buch/common/tikztemplate.tex
@@ -0,0 +1,21 @@
+%
+% tikztemplate.tex -- template for standalon tikz images
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+% add image content here
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/buch/common/titlepage.tex b/buch/common/titlepage.tex
new file mode 100644
index 0000000..f4f833f
--- /dev/null
+++ b/buch/common/titlepage.tex
@@ -0,0 +1,34 @@
+%
+% titlepage.tex
+%
+\pagestyle{fancy}
+\frontmatter
+\newcommand\HRule{\noindent\rule{\linewidth}{1.5pt}}
+\begin{titlepage}
+\vspace*{\stretch{1}}
+\HRule
+\vspace*{5pt}
+\begin{flushright}
+{
+\LARGE
+Mathematisches Seminar\\
+\vspace*{20pt}
+\Huge
+Matrizen%
+}%
+\vspace*{5pt}
+\end{flushright}
+\HRule
+\begin{flushright}
+\vspace{60pt}
+\Large
+Leitung: Andreas Müller und Roy Seitz\\
+\vspace{40pt}
+\Large
+\input{common/teilnehmer.tex}
+\end{flushright}
+\vspace*{\stretch{2}}
+\begin{center}
+OST Ostschweizer Fachhochschule, Rapperswil, 2021
+\end{center}
+\end{titlepage}
diff --git a/buch/papers/0-README b/buch/papers/0-README
new file mode 100644
index 0000000..b5fdc34
--- /dev/null
+++ b/buch/papers/0-README
@@ -0,0 +1,4 @@
+Dieses Verzeichnes enthält für jedes Seminarthema ein Verzeichnis, indem
+die Files für die zugehörige Seminararbeit abgelegt werden können.
+
+
diff --git a/buch/papers/000template/Makefile b/buch/papers/000template/Makefile
new file mode 100644
index 0000000..9126d2d
--- /dev/null
+++ b/buch/papers/000template/Makefile
@@ -0,0 +1,9 @@
+#
+# Makefile -- make file for the paper 000template
+#
+# (c) 2020 Prof Dr Andreas Mueller
+#
+
+images:
+	@echo "no images to be created in 000template"
+
diff --git a/buch/papers/000template/Makefile.inc b/buch/papers/000template/Makefile.inc
new file mode 100644
index 0000000..c6daf62
--- /dev/null
+++ b/buch/papers/000template/Makefile.inc
@@ -0,0 +1,14 @@
+#
+# Makefile.inc -- dependencies for this article
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+dependencies-000template =						\
+	papers/000template/packages.tex					\
+	papers/000template/main.tex					\
+	papers/000template/references.bib				\
+	papers/000template/einleitung.tex				\
+	papers/000template/problemstellung.tex				\
+	papers/000template/loesung.tex					\
+	papers/000template/folgerungen.tex
+
diff --git a/buch/papers/000template/einleitung.tex b/buch/papers/000template/einleitung.tex
new file mode 100644
index 0000000..9e944f1
--- /dev/null
+++ b/buch/papers/000template/einleitung.tex
@@ -0,0 +1,22 @@
+%
+% einleitung.tex -- Beispiel-File für die Einleitung
+%
+% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Einleitung\label{000template:section:einleitung}}
+\rhead{Einleitung}
+Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam
+nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam
+erat, sed diam voluptua \cite{000template:bibtex}.
+At vero eos et accusam et justo duo dolores et ea rebum.
+Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum
+dolor sit amet.
+
+Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam
+nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam
+erat, sed diam voluptua.
+At vero eos et accusam et justo duo dolores et ea rebum.  Stet clita
+kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit
+amet.
+
+
diff --git a/buch/papers/000template/folgerungen.tex b/buch/papers/000template/folgerungen.tex
new file mode 100644
index 0000000..587657d
--- /dev/null
+++ b/buch/papers/000template/folgerungen.tex
@@ -0,0 +1,40 @@
+%
+% problemstellung.tex -- Beispiel-File für die Beschreibung des Problems
+%
+% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Folgerungen
+\label{000template:section:folgerungen}}
+\rhead{Folgerungen}
+Sed ut perspiciatis unde omnis iste natus error sit voluptatem
+accusantium doloremque laudantium, totam rem aperiam, eaque ipsa
+quae ab illo inventore veritatis et quasi architecto beatae vitae
+dicta sunt explicabo. Nemo enim ipsam voluptatem quia voluptas sit
+aspernatur aut odit aut fugit, sed quia consequuntur magni dolores
+eos qui ratione voluptatem sequi nesciunt. Neque porro quisquam
+est, qui dolorem ipsum quia dolor sit amet, consectetur, adipisci
+velit, sed quia non numquam eius modi tempora incidunt ut labore
+et dolore magnam aliquam quaerat voluptatem. Ut enim ad minima
+veniam, quis nostrum exercitationem ullam corporis suscipit laboriosam,
+nisi ut aliquid ex ea commodi consequatur? Quis autem vel eum iure
+reprehenderit qui in ea voluptate velit esse quam nihil molestiae
+consequatur, vel illum qui dolorem eum fugiat quo voluptas nulla
+pariatur?
+
+\subsection{De finibus bonorum et malorum
+\label{000template:subsection:malorum}}
+At vero eos et accusamus et iusto odio dignissimos ducimus qui
+blanditiis praesentium voluptatum deleniti atque corrupti quos
+dolores et quas molestias excepturi sint occaecati cupiditate non
+provident, similique sunt in culpa qui officia deserunt mollitia
+animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis
+est et expedita distinctio. Nam libero tempore, cum soluta nobis
+est eligendi optio cumque nihil impedit quo minus id quod maxime
+placeat facere possimus, omnis voluptas assumenda est, omnis dolor
+repellendus. Temporibus autem quibusdam et aut officiis debitis aut
+rerum necessitatibus saepe eveniet ut et voluptates repudiandae
+sint et molestiae non recusandae. Itaque earum rerum hic tenetur a
+sapiente delectus, ut aut reiciendis voluptatibus maiores alias
+consequatur aut perferendis doloribus asperiores repellat.
+
+
diff --git a/buch/papers/000template/loesung.tex b/buch/papers/000template/loesung.tex
new file mode 100644
index 0000000..46fee58
--- /dev/null
+++ b/buch/papers/000template/loesung.tex
@@ -0,0 +1,40 @@
+%
+% loesung.tex -- Beispiel-File für die Beschreibung der Loesung
+%
+% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Lösung
+\label{000template:section:loesung}}
+\rhead{Lösung}
+Sed ut perspiciatis unde omnis iste natus error sit voluptatem
+accusantium doloremque laudantium, totam rem aperiam, eaque ipsa
+quae ab illo inventore veritatis et quasi architecto beatae vitae
+dicta sunt explicabo. Nemo enim ipsam voluptatem quia voluptas sit
+aspernatur aut odit aut fugit, sed quia consequuntur magni dolores
+eos qui ratione voluptatem sequi nesciunt. Neque porro quisquam
+est, qui dolorem ipsum quia dolor sit amet, consectetur, adipisci
+velit, sed quia non numquam eius modi tempora incidunt ut labore
+et dolore magnam aliquam quaerat voluptatem. Ut enim ad minima
+veniam, quis nostrum exercitationem ullam corporis suscipit laboriosam,
+nisi ut aliquid ex ea commodi consequatur? Quis autem vel eum iure
+reprehenderit qui in ea voluptate velit esse quam nihil molestiae
+consequatur, vel illum qui dolorem eum fugiat quo voluptas nulla
+pariatur?
+
+\subsection{De finibus bonorum et malorum
+\label{000template:subsection:bonorum}}
+At vero eos et accusamus et iusto odio dignissimos ducimus qui
+blanditiis praesentium voluptatum deleniti atque corrupti quos
+dolores et quas molestias excepturi sint occaecati cupiditate non
+provident, similique sunt in culpa qui officia deserunt mollitia
+animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis
+est et expedita distinctio. Nam libero tempore, cum soluta nobis
+est eligendi optio cumque nihil impedit quo minus id quod maxime
+placeat facere possimus, omnis voluptas assumenda est, omnis dolor
+repellendus. Temporibus autem quibusdam et aut officiis debitis aut
+rerum necessitatibus saepe eveniet ut et voluptates repudiandae
+sint et molestiae non recusandae. Itaque earum rerum hic tenetur a
+sapiente delectus, ut aut reiciendis voluptatibus maiores alias
+consequatur aut perferendis doloribus asperiores repellat.
+
+
diff --git a/buch/papers/000template/main.tex b/buch/papers/000template/main.tex
new file mode 100644
index 0000000..75a7422
--- /dev/null
+++ b/buch/papers/000template/main.tex
@@ -0,0 +1,36 @@
+%
+% main.tex -- Paper zum Thema <000template>
+%
+% (c) 2020 Hochschule Rapperswil
+%
+\chapter{Thema\label{chapter:000template}}
+\lhead{Thema}
+\begin{refsection}
+\chapterauthor{Hans Muster}
+
+Ein paar Hinweise für die korrekte Formatierung des Textes
+\begin{itemize}
+\item
+Absätze werden gebildet, indem man eine Leerzeile einfügt.
+Die Verwendung von \verb+\\+ ist nur in Tabellen und Arrays gestattet.
+\item
+Die explizite Platzierung von Bildern ist nicht erlaubt, entsprechende
+Optionen werden gelöscht. 
+Verwenden Sie Labels und Verweise, um auf Bilder hinzuweisen.
+\item
+Beginnen Sie jeden Satz auf einer neuen Zeile. 
+Damit ermöglichen Sie dem Versionsverwaltungssysteme, Änderungen
+in verschiedenen Sätzen von verschiedenen Autoren ohne Konflikt 
+anzuwenden.
+\item 
+Bilden Sie auch für Formeln kurze Zeilen, einerseits der besseren
+Übersicht wegen, aber auch um GIT die Arbeit zu erleichtern.
+\end{itemize}
+
+\input{papers/000template/einleitung.tex}
+\input{papers/000template/problemstellung.tex}
+\input{papers/000template/loesung.tex}
+\input{papers/000template/folgerungen.tex}
+
+\printbibliography[heading=subbibliography]
+\end{refsection}
diff --git a/buch/papers/000template/packages.tex b/buch/papers/000template/packages.tex
new file mode 100644
index 0000000..7cd2a3c
--- /dev/null
+++ b/buch/papers/000template/packages.tex
@@ -0,0 +1,10 @@
+%
+% packages.tex -- packages required by the paper 000template
+%
+% (c) 2019 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+
+% if your paper needs special packages, add package commands as in the
+% following example
+%\usepackage{packagename}
+
diff --git a/buch/papers/000template/problemstellung.tex b/buch/papers/000template/problemstellung.tex
new file mode 100644
index 0000000..dff1b18
--- /dev/null
+++ b/buch/papers/000template/problemstellung.tex
@@ -0,0 +1,55 @@
+%
+% problemstellung.tex -- Beispiel-File für die Beschreibung des Problems
+%
+% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\section{Problemstellung
+\label{000template:section:problemstellung}}
+\rhead{Problemstellung}
+Sed ut perspiciatis unde omnis iste natus error sit voluptatem
+accusantium doloremque laudantium, totam rem aperiam, eaque ipsa
+quae ab illo inventore veritatis et quasi architecto beatae vitae
+dicta sunt explicabo.
+Nemo enim ipsam voluptatem quia voluptas sit aspernatur aut odit
+aut fugit, sed quia consequuntur magni dolores eos qui ratione
+voluptatem sequi nesciunt
+\begin{equation}
+\int_a^b x^2\, dx
+=
+\left[ \frac13 x^3 \right]_a^b
+=
+\frac{b^3-a^3}3.
+\label{000template:equation1}
+\end{equation}
+Neque porro quisquam est, qui dolorem ipsum quia dolor sit amet,
+consectetur, adipisci velit, sed quia non numquam eius modi tempora
+incidunt ut labore et dolore magnam aliquam quaerat voluptatem.
+
+Ut enim ad minima veniam, quis nostrum exercitationem ullam corporis
+suscipit laboriosam, nisi ut aliquid ex ea commodi consequatur?
+Quis autem vel eum iure reprehenderit qui in ea voluptate velit
+esse quam nihil molestiae consequatur, vel illum qui dolorem eum
+fugiat quo voluptas nulla pariatur?
+
+\subsection{De finibus bonorum et malorum
+\label{000template:subsection:finibus}}
+At vero eos et accusamus et iusto odio dignissimos ducimus qui
+blanditiis praesentium voluptatum deleniti atque corrupti quos
+dolores et quas molestias excepturi sint occaecati cupiditate non
+provident, similique sunt in culpa qui officia deserunt mollitia
+animi, id est laborum et dolorum fuga \eqref{000tempmlate:equation1}.
+
+Et harum quidem rerum facilis est et expedita distinctio
+\ref{000template:section:loesung}.
+Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil
+impedit quo minus id quod maxime placeat facere possimus, omnis
+voluptas assumenda est, omnis dolor repellendus
+\ref{000template:section:folgerung}.
+Temporibus autem quibusdam et aut officiis debitis aut rerum
+necessitatibus saepe eveniet ut et voluptates repudiandae sint et
+molestiae non recusandae.
+Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis
+voluptatibus maiores alias consequatur aut perferendis doloribus
+asperiores repellat.
+
+
diff --git a/buch/papers/000template/references.bib b/buch/papers/000template/references.bib
new file mode 100644
index 0000000..fada201
--- /dev/null
+++ b/buch/papers/000template/references.bib
@@ -0,0 +1,35 @@
+%
+% references.bib -- Bibliography file for the paper 000template
+%
+% (c) 2020 Autor, Hochschule Rapperswil
+%
+
+@online{000template:bibtex,
+	title = {BibTeX},
+	url = {https://de.wikipedia.org/wiki/BibTeX},
+	date = {2020-02-06},
+	year = {2020},
+	month = {2},
+	day = {6}
+}
+
+@book{000template:numerical-analysis,
+	title = {Numerical Analysis},
+	author = {David Kincaid and Ward Cheney},
+	publisher = {American Mathematical Society},
+	year = {2002},
+	isbn = {978-8-8218-4788-6},
+	inseries = {Pure and applied undegraduate texts},
+	volume = {2}
+}
+
+@article{000template:mendezmueller,
+        author = { Tabea Méndez and Andreas Müller },
+        title = { Noncommutative harmonic analysis and image registration },
+        journal = { Appl. Comput. Harmon. Anal.},
+        year = 2019,
+        volume = 47,
+        pages = {607--627},
+        url = {https://doi.org/10.1016/j.acha.2017.11.004}
+}
+
diff --git a/buch/papers/common/Makefile.inc b/buch/papers/common/Makefile.inc
new file mode 100644
index 0000000..831686d
--- /dev/null
+++ b/buch/papers/common/Makefile.inc
@@ -0,0 +1,27 @@
+#
+# Makefile.inc -- Makefile Targets und Variablen für Papers
+#
+# Achtung: dieses File wird erzeugt vom Skript scripts/mkmakefile
+#
+# (c) 2020 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+PAPERFILES = \
+	papers/part2.tex \
+	papers/uebersicht.tex \
+	papers/000template/main.tex \
+	
+buch1-blx.bbl:	buch1-blx.aux
+	bibtex buch1-blx
+
+
+BLXFILES = buch.bbl \
+	buch1-blx.bbl \
+
+
+PAPER_DIRECTORIES = \
+	000template \
+	
+PAPER_MAKEFILEINC = \
+	papers/000template/Makefile.inc \
+
+
diff --git a/buch/papers/common/README b/buch/papers/common/README
new file mode 100644
index 0000000..09e3854
--- /dev/null
+++ b/buch/papers/common/README
@@ -0,0 +1,4 @@
+This directory mainly contains files generated by scripts in the scripts
+directory. Most of them depend on the file paperlist that contains short
+names for directories containing individual papers.
+
diff --git a/buch/papers/common/addbibresources.tex b/buch/papers/common/addbibresources.tex
new file mode 100644
index 0000000..d3976c7
--- /dev/null
+++ b/buch/papers/common/addbibresources.tex
@@ -0,0 +1,6 @@
+%
+% addbibresources.tex -- file to add all bib resources
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\addbibresource{papers/000template/references.bib}
diff --git a/buch/papers/common/addpackages.tex b/buch/papers/common/addpackages.tex
new file mode 100644
index 0000000..7683c16
--- /dev/null
+++ b/buch/papers/common/addpackages.tex
@@ -0,0 +1,6 @@
+%
+% addpackages.tex -- file to add all paper packages files
+%
+% (c) 2019 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\input{papers/000template/packages.tex}
diff --git a/buch/papers/common/addpapers.tex b/buch/papers/common/addpapers.tex
new file mode 100644
index 0000000..27baa8b
--- /dev/null
+++ b/buch/papers/common/addpapers.tex
@@ -0,0 +1,6 @@
+%
+% addpapers.tex -- file to add all paper main files
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\input{papers/000template/main.tex}
diff --git a/buch/papers/common/includes.inc b/buch/papers/common/includes.inc
new file mode 100644
index 0000000..8ef798e
--- /dev/null
+++ b/buch/papers/common/includes.inc
@@ -0,0 +1,6 @@
+include papers/000template/Makefile.inc
+
+TEXFILES = \
+	$(dependencies-000template) \
+
+
diff --git a/buch/papers/common/paperlist b/buch/papers/common/paperlist
new file mode 100644
index 0000000..ed0f06a
--- /dev/null
+++ b/buch/papers/common/paperlist
@@ -0,0 +1 @@
+000template
diff --git a/buch/papers/part2.tex b/buch/papers/part2.tex
new file mode 100644
index 0000000..33e2f4c
--- /dev/null
+++ b/buch/papers/part2.tex
@@ -0,0 +1,11 @@
+%
+% part2.tex -- format the second part
+%
+\part{Anwendungen und weiterführende Themen}
+\lhead{Anwendungen}
+\rhead{}
+\input{papers/uebersicht.tex}
+\def\chapterauthor#1{{\large #1}\bigskip\bigskip}
+% einzelne Artikel 
+\input{papers/common/addpapers.tex}
+
diff --git a/buch/papers/scripts/mkbibresources b/buch/papers/scripts/mkbibresources
new file mode 100644
index 0000000..ecede2b
--- /dev/null
+++ b/buch/papers/scripts/mkbibresources
@@ -0,0 +1,16 @@
+#
+# mkbibresources -- this script builds the addbibresources.tex file
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+awk 'BEGIN {
+	printf("%%\n")
+	printf("%% addbibresources.tex -- file to add all bib resources\n")
+	printf("%%\n")
+	printf("%% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil\n")
+	printf("%%\n")
+}
+{
+	printf("\\addbibresource{papers/%s/references.bib}\n", $1)
+}' common/paperlist > common/addbibresources.tex
+
diff --git a/buch/papers/scripts/mkmakefile b/buch/papers/scripts/mkmakefile
new file mode 100644
index 0000000..9590119
--- /dev/null
+++ b/buch/papers/scripts/mkmakefile
@@ -0,0 +1,95 @@
+#
+# mkmakefile -- build the Makefile.inc for all the papers
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+
+#
+# Header of the Makefile.inc
+#
+cat >common/Makefile.inc <<EOF
+#
+# Makefile.inc -- Makefile Targets und Variablen für Papers
+#
+# Achtung: dieses File wird erzeugt vom Skript scripts/mkmakefile
+#
+# (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+EOF
+
+#
+# add dependency variables for the main paper files
+#
+awk 'BEGIN {
+	printf("PAPERFILES = \\\n")
+	printf("\tpapers/part2.tex \\\n")
+	printf("\tpapers/uebersicht.tex \\\n")
+}
+{
+	printf("\tpapers/%s/main.tex \\\n", $1)
+}
+END {
+	printf("\t\n")
+}' common/paperlist >> common/Makefile.inc
+
+#
+# generate bibliographic dependency variables and commands
+#
+awk 'BEGIN {
+	counter=1
+}
+{
+	printf("buch%d-blx.bbl:\tbuch%d-blx.aux\n", counter, counter)
+	printf("\tbibtex buch%d-blx\n\n", counter)
+	counter++
+}
+END {
+	printf("buch%d-blx.bbl:\tbuch%d-blx.aux\n", counter, counter)
+	printf("\tbibtex buch%d-blx\n\n", counter)
+	printf("BLXFILES = buch.bbl \\\n")
+	for (i = 1; i <= counter; i++) {
+		printf("\tbuch%d-blx.bbl \\\n", i)
+	}
+	#printf("\tbuch%d-blx.bbl\n", i)
+	printf("\n")
+}' common/paperlist >> common/Makefile.inc
+
+#
+# generate a directory list for 
+#
+awk 'BEGIN {
+	printf("PAPER_DIRECTORIES = \\\n")
+}
+{
+	printf("\t%s \\\n", $1)
+}
+END {
+	printf("\t\n")
+}' common/paperlist >> common/Makefile.inc
+
+#
+# generate a list of Makefile.inc to be used by the top level makefile
+#
+awk 'BEGIN {
+	printf("PAPER_MAKEFILEINC = \\\n")
+}
+{
+	printf("\tpapers/%s/Makefile.inc \\\n", $1)
+}
+END {
+	printf("\t\n")
+}' common/paperlist >> common/Makefile.inc
+
+#
+# add include directives for all papers
+#
+awk '{
+	printf("include papers/%s/Makefile.inc\n", $1)
+	texfiles = sprintf("%s\t$(dependencies-%s) \\\n", texfiles, $1);
+}
+END {
+	printf("\n")
+	printf("TEXFILES = \\\n")
+	printf("%s\n", texfiles)
+}' common/paperlist > common/includes.inc
+
diff --git a/buch/papers/scripts/mkpackages b/buch/papers/scripts/mkpackages
new file mode 100644
index 0000000..a9c13fd
--- /dev/null
+++ b/buch/papers/scripts/mkpackages
@@ -0,0 +1,16 @@
+#
+# mkpackages -- this script builds the package inclusions for all papers
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+awk 'BEGIN {
+	printf("%%\n")
+	printf("%% addpackages.tex -- file to add all paper packages files\n")
+	printf("%%\n")
+	printf("%% (c) 2019 Prof Dr Andreas Müller, Hochschule Rapperswil\n")
+	printf("%%\n")
+}
+{
+	printf("\\input{papers/%s/packages.tex}\n", $1)
+}' common/paperlist > common/addpackages.tex
+
diff --git a/buch/papers/scripts/mkpapers b/buch/papers/scripts/mkpapers
new file mode 100644
index 0000000..2395f09
--- /dev/null
+++ b/buch/papers/scripts/mkpapers
@@ -0,0 +1,16 @@
+#
+# mkpapers -- this script builds the paper inclusion commands
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+#
+awk 'BEGIN {
+	printf("%%\n")
+	printf("%% addpapers.tex -- file to add all paper main files\n")
+	printf("%%\n")
+	printf("%% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil\n")
+	printf("%%\n")
+}
+{
+	printf("\\input{papers/%s/main.tex}\n", $1)
+}' common/paperlist > common/addpapers.tex
+
diff --git a/buch/papers/scripts/mktemplate b/buch/papers/scripts/mktemplate
new file mode 100644
index 0000000..2307e3e
--- /dev/null
+++ b/buch/papers/scripts/mktemplate
@@ -0,0 +1,37 @@
+#
+# mktemplate -- generate empty project files
+#
+# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+# 
+
+# make sure we have a target argument
+if [ $# -lt 1 ]
+then
+	echo "paper short name missing" >&2
+	exit 1
+fi
+
+target=${1:-test}
+
+if [ -z "${target}" ]
+then
+	echo "target name empty" >&2
+	exit 1
+fi
+
+# generate the directory
+if [ ! -d ${target} ]
+then
+	mkdir ${target}
+fi
+
+FILES="Makefile.inc Makefile main.tex packages.tex references.bib"
+SECTIONS="einleitung.tex problemstellung.tex loesung.tex folgerungen.tex"
+
+for file in ${FILES} ${SECTIONS}
+do
+	echo "generating ${target}/${file}"
+	sed -e 's/000template/'"${target}"'/g' < 000template/${file} \
+		> ${target}/${file}
+done
+
diff --git a/buch/papers/uebersicht.tex b/buch/papers/uebersicht.tex
new file mode 100644
index 0000000..b809892
--- /dev/null
+++ b/buch/papers/uebersicht.tex
@@ -0,0 +1,14 @@
+%
+% uebersicht.tex -- Uebersicht ueber die Seminar-Arbeiten
+%
+% (c) 2021 Prof Dr Andreas Mueller, OST Ostschweizer Fachhochschule
+%
+\chapter*{Übersicht}
+\lhead{Übersicht}
+\rhead{}
+\label{buch:uebersicht}
+Im zweiten Teil kommen die Teilnehmer des Seminars selbst zu Wort.
+Die im ersten Teil dargelegten mathematischen Methoden und
+grundlegenden Modelle werden dabei verfeinert, verallgemeinert
+und auch numerisch überprüft.
+
diff --git a/buch/splitpapers b/buch/splitpapers
new file mode 100755
index 0000000..9ae5aae
--- /dev/null
+++ b/buch/splitpapers
@@ -0,0 +1,45 @@
+#! /bin/bash
+#
+# splitpapers -- split PDF into one file per chapter
+#
+# (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+if [ ! -f buch.aux ]
+then
+	echo "file buch.aux missing"
+	exit 1
+fi
+
+if [ ! -d separata ]
+then
+	mkdir separata
+fi
+
+awk 'BEGIN {
+	offsetpage = 10
+	startpage = 0
+	identifier = ""
+	chapterno = 0
+}
+/newlabel{chapter:/ {
+	s = substr($0, 19, length($0) - 19)
+	i = match(s, "}{{")
+	newidentifier = substr(s, 1, i-1)
+	s = substr(s, i+3, length(s)-i-3)
+	i = match(s, "}{")
+	newchapterno = int(substr(s, 1, i))
+	s = substr(s, i+2, length(s)-i-2)
+	i = match(s, "}{")
+	newpage = int(substr(s, 1, i))
+	if (chapterno > 7) {
+		printf("pdfjam --outfile separata/%s.pdf buch.pdf %d-%d\n", identifier, startpage + offsetpage, newpage + offsetpage - 1)
+	}
+	startpage = newpage
+	chapterno = newchapterno
+	identifier = newidentifier
+}
+END {
+	printf("pdfjam --outfile separata/%s.pdf buch.pdf %d-\n", identifier, startpage + offsetpage)
+}' buch.aux | bash
+
+
diff --git a/cover/Makefile b/cover/Makefile
new file mode 100644
index 0000000..76ae56f
--- /dev/null
+++ b/cover/Makefile
@@ -0,0 +1,22 @@
+#
+# Makefile -- build the book cover
+#
+# (c) 2018 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all:	buchcover.png front.pdf back.pdf
+
+buchcover.pdf:	buchcover.tex
+	pdflatex buchcover.tex
+
+buchcover.png:	buchcover.pdf Makefile
+	convert -density 300 -extract 1966x2900+2630+190 buchcover.pdf \
+		buchcover.png
+
+nozzle.jpg:	nozzle.png
+	convert nozzle.png -density 300 -units PixelsPerInch -flop nozzle.jpg
+
+front.pdf:	front.tex buchcover.pdf
+	pdflatex front.tex
+
+back.pdf:	back.tex buchcover.pdf
+	pdflatex back.tex
diff --git a/cover/back.tex b/cover/back.tex
new file mode 100644
index 0000000..dab33b6
--- /dev/null
+++ b/cover/back.tex
@@ -0,0 +1,27 @@
+%
+% front.tex -- template for standalon tikz images
+%
+% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+%\usepackage{geometry}
+%\geometry{papersize={170mm,240mm},total={140mm,200mm},top=21mm,bindingoffset=10mm}
+
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\begin{scope}
+\clip (1.6,2.1) rectangle (18.6,26.1);
+\includegraphics{buchcover.pdf}
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+
diff --git a/cover/buchcover.tex b/cover/buchcover.tex
new file mode 100644
index 0000000..1fdf2dc
--- /dev/null
+++ b/cover/buchcover.tex
@@ -0,0 +1,155 @@
+%
+% buchcover.tex -- Cover für das Buch Numerik
+%
+% (c) 2018 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[11pt]{standalone}
+\usepackage{tikz}
+\usepackage{times}
+\usepackage{geometry}
+\usepackage{german}
+\usepackage[utf8]{inputenc}
+\usepackage[T1]{fontenc}
+\usepackage{times}
+\usepackage{amsmath,amscd}
+\usepackage{amssymb}
+\usepackage{amsfonts}
+\usepackage{txfonts}
+\usepackage{ifthen}
+\usetikzlibrary{math}
+\geometry{papersize={402mm,278mm},total={405mm,278mm},top=72.27pt, bottom=0pt, left=72.27pt, right=0pt}
+\newboolean{guidelines}
+\setboolean{guidelines}{false}
+\setboolean{guidelines}{true}
+
+\begin{document}
+\begin{tikzpicture}[>=latex, scale=1]
+\tikzmath{
+	real \ruecken, \einschlag, \gelenk, \breite, \hoehe;
+	\ruecken = 3.0;
+	\einschlag = 1.6;
+	\gelenk = 0.8;
+	\breite = 16.7;
+	\hoehe = 24.6;
+	real \bogengreite, \bogenhoehe;
+	\bogenbreite = 2 * (\breite + \einschlag + \gelenk) + \ruecken;
+	\bogenhoehe = 2 * \einschlag + \hoehe;
+}
+
+%\clip (0,0) circle (6);
+
+\draw[fill=blue](0,0) rectangle({\bogenbreite},{\bogenhoehe});
+\hsize=13.6cm
+
+\begin{scope}
+%\clip (0,0) rectangle({\bogenbreite},{\bogenhoehe});
+\clip (0,3) rectangle ({\bogenbreite},14.2);
+%\node at (18.7,8.9) [scale=5.0]{\includegraphics{nozzle-hell.jpg}};
+%\node at (18.7,8.9) [scale=5.0]{\includegraphics{nozzle-hell3.jpg}};
+%\node at (18.7,8.9) [scale=5.0]{\includegraphics{nozzle.jpg}};
+\end{scope}
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},24.3)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{24}{24}\selectfont Mathematisches Seminar}};
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},21.9)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{50}{50}\selectfont Matrizen}};
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},19.7)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{13}{5}\selectfont Andreas Müller und Roy Seitz}};
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},18.4)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{13}{5}\selectfont
+	Joshua Baer,			% E
+	Marius Baumann,			% E
+	Reto Fritsche,			% E (2)
+	Ahmet Güzel%,			% E
+	}};
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},17.75)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{13}{5}\selectfont
+	Pascal Honegger,		% I
+	Alain Keller,			% E
+	Jan Marbach,			% E
+	Andreas Mozzini Vellen%,		% E
+	}};
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},17.1)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{13}{5}\selectfont
+	Naoki Pross,			% E
+	Pascal Andreas Schmid,		% B
+	Thierry Schwaller%,		% E
+	}};
+ 
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},16.45)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{13}{5}\selectfont
+	Michael Steiner,		% E
+	Tim Tönz,			% E
+	Fabio Viecelli,			% B
+	Lukas Zogg%,			% B
+	}};
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},15.8)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{13}{5}\selectfont
+	%
+	}};
+
+\node at ({\einschlag+2*\gelenk+\ruecken+1.5*\breite},15.15)
+	[color=white,scale=1]
+	{\hbox to\hsize{\hfill%
+	\sf \fontsize{13}{5}\selectfont
+	%Reto Wildhaber%			% B
+	}};
+ 
+%\node at (0,3) [color=white] {\sf \LARGE Mathematisches Seminar 2017};
+
+% Rücken
+\node at ({\bogenbreite/2 + 0.05},20.5) [color=white,rotate=-90]
+	{\sf\fontsize{35}{0}\selectfont Matrizen};
+
+% Buchrückseite
+\node at ({\einschlag+0.5*\breite},18.6) [color=white] {\sf
+\fontsize{13}{16}\selectfont
+\vbox{%
+\parindent=0pt
+%\raggedright
+Das Mathematische Seminar der Ostschweizer Fachhochschule
+in Rapperswil hat sich im Frühjahrssemester 2021 dem Thema
+Matrizen zugewandt.
+Ziel war, die vielfältigen Anwendungsmöglichkeiten dieser grundlegenden
+Datenstruktur zu ergründen.
+Dieses Buch bringt das Skript des Vorlesungsteils mit den von den
+Seminarteilnehmern beigetragenen Seminararbeiten zusammen.
+}};
+
+
+\ifthenelse{\boolean{guidelines}}{
+\draw[white] (0,{\einschlag})--({\bogenbreite},{\einschlag});
+\draw[white] (0,{\bogenhoehe-\einschlag})--({\bogenbreite},{\bogenhoehe-\einschlag});
+
+\draw[white] ({\einschlag},0)--({\einschlag},{\bogenhoehe});
+\draw[white] ({\einschlag+\breite},0)--({\einschlag+\breite},{\bogenhoehe});
+\draw[white] ({\einschlag+\breite+\gelenk},0)--({\einschlag+\breite+\gelenk},{\bogenhoehe});
+\draw[white] ({\bogenbreite-\einschlag-\breite-\gelenk},0)--({\bogenbreite-\einschlag-\breite-\gelenk},{\bogenhoehe});
+\draw[white] ({\bogenbreite-\einschlag-\breite},0)--({\bogenbreite-\einschlag-\breite},{\bogenhoehe});
+\draw[white] ({\bogenbreite-\einschlag},0)--({\bogenbreite-\einschlag},{\bogenhoehe});
+}{}
+
+\end{tikzpicture}
+\end{document}
diff --git a/cover/front.tex b/cover/front.tex
new file mode 100644
index 0000000..f682d48
--- /dev/null
+++ b/cover/front.tex
@@ -0,0 +1,27 @@
+%
+% front.tex -- template for standalon tikz images
+%
+% (c) 2020 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+%\usepackage{geometry}
+%\geometry{papersize={170mm,240mm},total={140mm,200mm},top=21mm,bindingoffset=10mm}
+
+\usetikzlibrary{arrows,intersections,math}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\begin{scope}
+\clip (22.4,2.1) rectangle (39.4,26.1);
+\includegraphics{buchcover.pdf}
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+