From d4046eef3dee4b3de6f1d456132cda22fef8743f Mon Sep 17 00:00:00 2001
From: =?UTF-8?q?Andreas=20M=C3=BCller?= <andreas.mueller@ost.ch>
Date: Sat, 9 Oct 2021 21:13:51 +0200
Subject: erster Entwurf Kapitel Funktionentheorie

---
 .../images/integralanalytisch.tex                  | 51 ++++++++++++++++++++++
 1 file changed, 51 insertions(+)
 create mode 100644 buch/chapters/080-funktionentheorie/images/integralanalytisch.tex

(limited to 'buch/chapters/080-funktionentheorie/images/integralanalytisch.tex')

diff --git a/buch/chapters/080-funktionentheorie/images/integralanalytisch.tex b/buch/chapters/080-funktionentheorie/images/integralanalytisch.tex
new file mode 100644
index 0000000..a407eed
--- /dev/null
+++ b/buch/chapters/080-funktionentheorie/images/integralanalytisch.tex
@@ -0,0 +1,51 @@
+%
+% integralanalytisch.tex -- Illustration zum Beweis, das das Cauchy-Integral
+%                           auf eine analytische Funktion führt
+%
+% (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]
+
+\fill[color=blue!20] (0,0) circle[radius=1.5];
+\draw[color=blue,line width=0.7pt] (0,0) circle[radius=1.5];
+
+\draw[->] (0,0) -- (-150:1.5);
+\node at (-150:1.0) [below] {$\varrho$};
+
+\begin{scope}
+\clip (-4,-3) rectangle (4,3);
+\draw[color=red, line width=1.4pt]
+	 (-3,0.5) 
+	.. controls (-4,-0.5) and (-3,-2) ..
+	(-2,-2)
+	.. controls (-1,-2) and (-1,-1.5) ..
+	(0,-1.5)
+	.. controls (1.0,-1.5) and (1.0,-3) ..
+	(2,-3)
+	.. controls (5,-3) and (3,5) ..
+	(-1,2);
+\end{scope}
+
+\node[color=red] at (3.2,-1.5) {$\gamma$};
+
+\coordinate (Z) at (1,0.5);
+
+\fill[color=white] (Z) circle[radius=0.05];
+\draw (Z) circle[radius=0.05];
+\node at (Z) [above] {$z$};
+
+\draw[->] (0,-3.1) -- (0,3.3) coordinate[label={left:$\operatorname{Im}z$}];
+\draw[->] (-4.1,0) -- (4.3,0) coordinate[label={$\operatorname{Re}z$}];
+
+\end{tikzpicture}
+\end{document}
+
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