diff options
Diffstat (limited to 'vorlesungen/05_spektral1')
-rw-r--r-- | vorlesungen/05_spektral1/Makefile | 35 | ||||
-rw-r--r-- | vorlesungen/05_spektral1/MathSem-05-spektral1.tex | 18 | ||||
-rw-r--r-- | vorlesungen/05_spektral1/common.tex | 16 | ||||
-rw-r--r-- | vorlesungen/05_spektral1/jordan.jpg | bin | 0 -> 81986 bytes | |||
-rw-r--r-- | vorlesungen/05_spektral1/slides.tex | 32 | ||||
-rw-r--r-- | vorlesungen/05_spektral1/spektral1-handout.tex | 11 |
6 files changed, 112 insertions, 0 deletions
diff --git a/vorlesungen/05_spektral1/Makefile b/vorlesungen/05_spektral1/Makefile new file mode 100644 index 0000000..a72a5a8 --- /dev/null +++ b/vorlesungen/05_spektral1/Makefile @@ -0,0 +1,35 @@ +# +# Makefile -- spektral1 +# +# (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +# +all: spektral1-handout.pdf MathSem-05-spektral1.pdf + +include ../slides/Makefile.inc + +SOURCES = common.tex slides.tex $(slides) + +MathSem-05-spektral1.pdf: MathSem-05-spektral1.tex $(SOURCES) + pdflatex MathSem-05-spektral1.tex + +spektral1-handout.pdf: spektral1-handout.tex $(SOURCES) + pdflatex spektral1-handout.tex + +thumbnail: thumbnail.jpg fix1.jpg + +thumbnail.pdf: MathSem-05-spektral1.pdf + pdfjam --outfile thumbnail.pdf --papersize '{16cm,9cm}' \ + MathSem-05-spektral1.pdf 1 +thumbnail.jpg: thumbnail.pdf + convert -density 300 thumbnail.pdf \ + -resize 1920x1080 -units PixelsPerInch thumbnail.jpg + +fix1.pdf: MathSem-05-spektral1.pdf + pdfjam --outfile fix1.pdf --papersize '{16cm,9cm}' \ + MathSem-05-spektral1.pdf 92 +fix1.jpg: fix1.pdf + convert -density 300 fix1.pdf \ + -resize 1920x1080 -units PixelsPerInch fix1.jpg + +jordan.jpg: fix1.jpg Makefile + convert -extract 873x873+967+199 fix1.jpg jordan.jpg diff --git a/vorlesungen/05_spektral1/MathSem-05-spektral1.tex b/vorlesungen/05_spektral1/MathSem-05-spektral1.tex new file mode 100644 index 0000000..7eeacd9 --- /dev/null +++ b/vorlesungen/05_spektral1/MathSem-05-spektral1.tex @@ -0,0 +1,18 @@ +% +% MathSem-05-spektral1.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 +\vspace{-1.5cm} +\begin{center} +\includegraphics[width=6cm]{jordan.jpg} +\end{center} +\end{frame} +\input{slides.tex} +\end{document} diff --git a/vorlesungen/05_spektral1/common.tex b/vorlesungen/05_spektral1/common.tex new file mode 100644 index 0000000..376ab55 --- /dev/null +++ b/vorlesungen/05_spektral1/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[Spektraltheorie~1]{Spektraltheorie 1: Eigenwerte/Eigenvektoren} +\author[A.~Müller]{Prof. Dr. Andreas Müller} +\date[]{} +\newboolean{presentation} + diff --git a/vorlesungen/05_spektral1/jordan.jpg b/vorlesungen/05_spektral1/jordan.jpg Binary files differnew file mode 100644 index 0000000..7c26f19 --- /dev/null +++ b/vorlesungen/05_spektral1/jordan.jpg diff --git a/vorlesungen/05_spektral1/slides.tex b/vorlesungen/05_spektral1/slides.tex new file mode 100644 index 0000000..1360eea --- /dev/null +++ b/vorlesungen/05_spektral1/slides.tex @@ -0,0 +1,32 @@ +% +% slides.tex -- XXX +% +% (c) 2017 Prof Dr Andreas Müller, Hochschule Rapperswil +% +\section{Eigenwerte} +\ifthenelse{\boolean{presentation}}{ +\folie{5/verzerrung.tex} +}{} +\folie{5/spektrum.tex} +\folie{5/kernbildintro.tex} +\folie{5/kernbilder.tex} +\folie{5/charpoly.tex} + +\section{Ketten} +\folie{5/kernbild.tex} +\folie{5/ketten.tex} +\folie{5/dimension.tex} +\folie{5/folgerungen.tex} +\folie{5/injektiv.tex} + +\section{Nilpotent} +\folie{5/nilpotent.tex} +\folie{5/eigenraeume.tex} +\folie{5/zerlegung.tex} +\folie{5/normalnilp.tex} + +\section{Jordan Normalform} +\folie{5/jordanblock.tex} +\folie{5/jordan.tex} +\folie{5/cayleyhamilton.tex} + diff --git a/vorlesungen/05_spektral1/spektral1-handout.tex b/vorlesungen/05_spektral1/spektral1-handout.tex new file mode 100644 index 0000000..98f796e --- /dev/null +++ b/vorlesungen/05_spektral1/spektral1-handout.tex @@ -0,0 +1,11 @@ +% +% spektral1-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} |