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author | Andreas Müller <andreas.mueller@ost.ch> | 2021-06-14 07:26:10 +0200 |
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committer | GitHub <noreply@github.com> | 2021-06-14 07:26:10 +0200 |
commit | 114633b43a0f1ebedbc5dfd85f75ede9841f26fd (patch) | |
tree | 18e61c7d69883a1c9b69098b7d36856abaed5c1e /vorlesungen/06_msegalois | |
parent | Delete buch.pdf (diff) | |
parent | Fix references.bib (diff) | |
download | SeminarMatrizen-114633b43a0f1ebedbc5dfd85f75ede9841f26fd.tar.gz SeminarMatrizen-114633b43a0f1ebedbc5dfd85f75ede9841f26fd.zip |
Merge branch 'master' into master
Diffstat (limited to 'vorlesungen/06_msegalois')
-rw-r--r-- | vorlesungen/06_msegalois/Makefile | 33 | ||||
-rw-r--r-- | vorlesungen/06_msegalois/MathSemMSE-06-galois.tex | 14 | ||||
-rw-r--r-- | vorlesungen/06_msegalois/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/06_msegalois/galois-handout.tex | 11 | ||||
-rw-r--r-- | vorlesungen/06_msegalois/slides.tex | 23 |
5 files changed, 97 insertions, 0 deletions
diff --git a/vorlesungen/06_msegalois/Makefile b/vorlesungen/06_msegalois/Makefile new file mode 100644 index 0000000..a6e829d --- /dev/null +++ b/vorlesungen/06_msegalois/Makefile @@ -0,0 +1,33 @@ +# +# 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 @@ -0,0 +1,14 @@ +% +% 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 @@ -0,0 +1,16 @@ +% +% 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} + |