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authorAndreas Müller <andreas.mueller@ost.ch>2021-06-14 07:26:10 +0200
committerGitHub <noreply@github.com>2021-06-14 07:26:10 +0200
commit114633b43a0f1ebedbc5dfd85f75ede9841f26fd (patch)
tree18e61c7d69883a1c9b69098b7d36856abaed5c1e /vorlesungen/06_msegalois
parentDelete buch.pdf (diff)
parentFix references.bib (diff)
downloadSeminarMatrizen-114633b43a0f1ebedbc5dfd85f75ede9841f26fd.tar.gz
SeminarMatrizen-114633b43a0f1ebedbc5dfd85f75ede9841f26fd.zip
Merge branch 'master' into master
Diffstat (limited to 'vorlesungen/06_msegalois')
-rw-r--r--vorlesungen/06_msegalois/Makefile33
-rw-r--r--vorlesungen/06_msegalois/MathSemMSE-06-galois.tex14
-rw-r--r--vorlesungen/06_msegalois/common.tex16
-rw-r--r--vorlesungen/06_msegalois/galois-handout.tex11
-rw-r--r--vorlesungen/06_msegalois/slides.tex23
5 files changed, 97 insertions, 0 deletions
diff --git a/vorlesungen/06_msegalois/Makefile b/vorlesungen/06_msegalois/Makefile
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+++ b/vorlesungen/06_msegalois/Makefile
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+#
+# Makefile -- galois
+#
+# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+#
+all: galois-handout.pdf MathSemMSE-06-galois.pdf
+
+include ../slides/Makefile.inc
+
+SOURCES = common.tex slides.tex $(slides)
+
+MathSemMSE-06-galois.pdf: MathSemMSE-06-galois.tex $(SOURCES)
+ pdflatex MathSemMSE-06-galois.tex
+
+galois-handout.pdf: galois-handout.tex $(SOURCES)
+ pdflatex galois-handout.tex
+
+thumbnail: thumbnail.jpg # fix1.jpg
+
+thumbnail.pdf: MathSemMSE-06-galois.pdf
+ pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \
+ MathSemMSE-06-galois.pdf 1
+thumbnail.jpg: thumbnail.pdf
+ convert -density 300 thumbnail.pdf \
+ -resize 1920x1080 -units PixelsPerInch thumbnail.jpg
+
+fix1.pdf: MathSemMSE-06-galois.pdf
+ pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \
+ MathSemMSE-06-galois.pdf 1
+fix1.jpg: fix1.pdf
+ convert -density 300 fix1.pdf \
+ -resize 1920x1080 -units PixelsPerInch fix1.jpg
+
diff --git a/vorlesungen/06_msegalois/MathSemMSE-06-galois.tex b/vorlesungen/06_msegalois/MathSemMSE-06-galois.tex
new file mode 100644
index 0000000..2b8da6d
--- /dev/null
+++ b/vorlesungen/06_msegalois/MathSemMSE-06-galois.tex
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+%
+% MathSem-06-msegalois.tex -- Präsentation
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[aspectratio=169]{beamer}
+\input{common.tex}
+\setboolean{presentation}{true}
+\begin{document}
+\begin{frame}
+\titlepage
+\end{frame}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/06_msegalois/common.tex b/vorlesungen/06_msegalois/common.tex
new file mode 100644
index 0000000..50adc4f
--- /dev/null
+++ b/vorlesungen/06_msegalois/common.tex
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+%
+% common.tex -- gemeinsame definition
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\input{../common/packages.tex}
+\input{../common/common.tex}
+\mode<beamer>{%
+\usetheme[hideothersubsections,hidetitle]{Hannover}
+}
+\beamertemplatenavigationsymbolsempty
+\title[Galois]{Galois-Theorie}
+\author[A.~Müller]{Prof. Dr. Andreas Müller}
+\date[]{}
+\newboolean{presentation}
+
diff --git a/vorlesungen/06_msegalois/galois-handout.tex b/vorlesungen/06_msegalois/galois-handout.tex
new file mode 100644
index 0000000..e3e80f8
--- /dev/null
+++ b/vorlesungen/06_msegalois/galois-handout.tex
@@ -0,0 +1,11 @@
+%
+% msegalois-handout.tex -- Handout XXX
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+\documentclass[handout,aspectratio=169]{beamer}
+\input{common.tex}
+\setboolean{presentation}{false}
+\begin{document}
+\input{slides.tex}
+\end{document}
diff --git a/vorlesungen/06_msegalois/slides.tex b/vorlesungen/06_msegalois/slides.tex
new file mode 100644
index 0000000..95695c4
--- /dev/null
+++ b/vorlesungen/06_msegalois/slides.tex
@@ -0,0 +1,23 @@
+%
+% slides.tex -- Slides für die kleine Einführung in die Galois-Theorie
+%
+% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil
+%
+
+\section{Körpererweiterungen}
+\folie{4/galois/erweiterung.tex}
+
+\section{Geometrische Anwendungen}
+\folie{4/galois/konstruktion.tex}
+\folie{4/galois/wuerfel.tex}
+\folie{4/galois/winkeldreiteilung.tex}
+\folie{4/galois/quadratur.tex}
+
+\section{Galois-Gruppe}
+\folie{4/galois/automorphismus.tex}
+
+\section{Lösbarkeit durch Radikale}
+\folie{4/galois/radikale.tex}
+\folie{4/galois/aufloesbarkeit.tex}
+\folie{4/galois/sn.tex}
+