{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9f6d1ceb-b2ed-46aa-a24f-8821b40960c0",
   "metadata": {},
   "source": [
    "### Komplexe Differentiation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f4a47575-9880-4dd9-84a3-d0136f15bd3f",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "<b>Ziel des Notebooks:</b>\n",
    "\n",
    "- Grundlegende Konzepte der Komplexen Differentiation\n",
    "    - Definition komplexer Differentiation\n",
    "    - Cauchy-Riemann Differentialgleichung\n",
    "    - Holomorphe Funktionen und Rechenregeln\n",
    "- Analogien zur reellen Analysis und Unterschiede kennenlernen\n",
    "- Anwendung komplexe Differentiation\n",
    "\n",
    "<br>\n",
    "    \n",
    "<b>Mathematische Tools:<b>\n",
    "- Analysis I\n",
    "- Analysis II\n",
    "\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e7c0633-52e1-4c15-86da-f6a88a55883c",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd6c6f52-b795-4970-8acd-596fa436a130",
   "metadata": {},
   "source": [
    "Die Analysis ist ein großes Teilgebiet der Mathematik und wir beschäftigen uns schon seit Beginn der Schule damit. Nach den ersten zwei Semestern in Analysis I und Analysis II mag man schon sehr gut die Menge der reellen Zahlen sowie die darauf definierten Funktionen verstehen.\n",
    "<br>\n",
    "Jedoch haben wir nur Funktionen in $\\mathbb{R}$ unter die Lupe genommen. Was passiert aber, wenn wir $\\mathbb{R}$ mit $\\mathbb{C}$ ersetzen? "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c8fe0e9-d869-4ba8-a2cf-527826f1651d",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Wiederholung\n",
    "***\n",
    "Machen Sie sich nochmal bewusst, was komplexe Zahlen sind. Sie sollten diese Fragen beantworten können:\n",
    "\n",
    "Wie rechnet man mit komplexen Zahlen, wie ist die Addition und Multiplikation definiert? Was ist $i$ und was ist eine komplexe Konjugation? Wie ist die Struktur von $\\mathbb{C}$: Handelt es sich um einen Ring oder einen Körper?\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44fff8b0-d69a-432b-97d5-effe416d8b05",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da770b1d-6b43-4fab-9a9d-9c3faa7a26b3",
   "metadata": {},
   "source": [
    "Vorher wollen wir erstmal mit grundlegenden Definitionen starten. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd704723-13d0-44f4-b703-6be228848459",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    \n",
    "<b> Definition Komplexe Funktion </b>\n",
    "***\n",
    "Es sei $ \\emptyset \\neq U\\subseteq \\mathbb{C}$. Eine **komplexe Funktion** ist eine Funktion der Form \n",
    "<center>$f: U \\rightarrow \\mathbb{C} : z = x +iy \\mapsto f(z) = u(x,y) + iv(x,y)$,</center>\n",
    "<br>    \n",
    "wobei $x,y \\in \\mathbb{R}$ und $u,v$ reelle Funktionen sind.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4dc4e13e-e035-400d-aeb8-92b92318e71a",
   "metadata": {},
   "source": [
    "### Beispiele\n",
    "\n",
    "(i) Ein einfaches Beispiel ist die Identität $id: \\mathbb{C} \\rightarrow \\mathbb{C}: z = x + i y \\mapsto z $. Dann ist $u(x,y) = x$ und $v(x,y) = y$.\n",
    "\n",
    "(ii) $f: \\mathbb{C} \\rightarrow \\mathbb{C}, z = x + iy \\mapsto \\cos(x) + i \\sin(y)$. Hier sind $u(x,y) = \\cos(x)$ und $v(x,y) = \\sin(y)$.\n",
    "\n",
    "Man sieht schnell ein, dass $u = Re( f)$ und $v = Im (f)$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb437e88-4275-4938-ad74-1f5f0b2f3ee5",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe 0\n",
    "***\n",
    "\n",
    "Wie kann man \"normale\" Funktionen über $\\mathbb R$ als komplexe Funktionen verstehen?\n",
    "Was können Sie über $u$ und $v$ sagen?\n",
    "</div>    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2c6e2a8-4472-488a-a64d-862b7c28a20f",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "    \n",
    "<b> Definition Komplexe Differenzierbarkeit: </b>\n",
    "    \n",
    "    \n",
    "Es sei $ \\emptyset \\neq U\\subseteq \\mathbb{C}$ offen. Eine komplexe Funktion $f: U \\rightarrow \\mathbb{C}$ heißt an der Stelle $z_0 \\in U$ <b>komplex differenzierbar</b>, falls der Grenzwert \n",
    "    \n",
    "$$\n",
    "    f'(z_0) = \\lim_{z \\to z_0} \\frac{f(z)-f(z_0)}{z-z_0}\n",
    "$$\n",
    "\n",
    "existiert. $f$ heißt dann (auf $U$) <b>holomorph</b>, falls sie in jedem Punkt $z_0 \\in U$ komplex differenzierbar ist. Weiter heißt eine Funktion holomorph in $z_0$, falls $f$ in einer Umgebung von $z_0$ komplex differenzierbar ist. Eine Funktion heißt <b> ganze Funktion</b>, falls sie sogar auf ganz $\\mathbb{C}$ holomorph ist.\n",
    "    \n",
    "Falls $f$ bijektiv ist und ihre Umkehrfunktion wieder holomorph ist, so nennen wir $f$ **biholomorph**.    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7fbf1c2-04e8-4503-a3d1-8c75f034695d",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8eff59d5-4dfb-4336-be64-664f4b76ab96",
   "metadata": {},
   "source": [
    "### Beispiele\n",
    "\n",
    "(i) $f: \\mathbb{C} \\rightarrow \\mathbb{C}: z \\mapsto z^n, n\\in \\mathbb{N}_0$ ist holomorph.\n",
    "    Man rechnet, dass \n",
    "    \n",
    "$$\n",
    "f'(z_0) = \\lim_{z \\to z_0} \\frac{f(z)-f(z_0)}{z-z_0} = \\lim_{z \\to z_0} \\frac{z^n-z_0^n}{z-z_0} = \\lim_{z \\to z_0} \\sum_{k=0}^{n-1} z^k\\cdot z_0^{n-1-k} = z_0^{n-1} \\cdot \\sum_{k=0}^{n-1} 1= nz_0^{n-1}\n",
    "$$\n",
    "\n",
    "\n",
    "(ii) $f: \\mathbb{C} \\rightarrow \\mathbb{C}, z\\mapsto \\bar z$ ist nirgends komplex differenzierbar.\n",
    "Wir betrachten dazu zwei Näherungen zum Grenzwert:\n",
    "- $$\n",
    "\\frac{f(z_0 +ih)-f(z_0)}{(z_0+ih)-z_0} = \\frac{\\overline{z_0+ih}-\\overline z_0}{ih} = -1 \\xrightarrow{h\\rightarrow 0} -1 \n",
    "$$\n",
    "\n",
    "- $$\n",
    "\\frac{f(z_0 +h)-f(z_0)}{(z_0+h)-z_0} = \\frac{\\overline{z_0+h}-\\overline z_0}{h} = 1 \\xrightarrow{h\\rightarrow 0} 1\n",
    "$$\n",
    "\n",
    "Einmal haben wir uns parallel zur imaginären Achse und einmal parallel zur reellen Achse zum Punkt $z_0$ genähert und bekommen verschiedene Grenzwerte!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e50f7850-3388-4b5f-ba7e-8ea7957b0aa6",
   "metadata": {},
   "source": [
    "Generell fordert man für Differenzierbarkeit den gleichen Wert für die Limites aus allen Richtungen. \n",
    "Der springende Punkt bei der reellen Differenzierbarkeit in einer Variablen ist, dass bei der Berechnung des Limes nur **zwei** Richtungen betrachtet werden - nämlich Betrachtungen mit $h<0$ und $h>0$. "
   ]
  },
  {
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"
    }
   },
   "cell_type": "markdown",
   "id": "2c0173f5-fbd6-4e4a-894c-0e1e21f5344c",
   "metadata": {},
   "source": [
    "\n",
    "<div>\n",
    "    <img src=\"attachment:1848bc7a-970b-469f-9955-9ec130141014.png\" width=\"500\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5c0cfb4d-36a8-44e2-a9d6-06f4e1f5199a",
   "metadata": {},
   "source": [
    "Anders gesagt, für die Richtung mit $h>0$ muss für jede Nullfolge $(a_n)_{n\\in \\mathbb N} \\subset \\mathbb R$ mit $a_n > 0$ gelten, dass $\\lim_{n \\to \\infty} \\frac{f(z_0 + a_n)-f(z_0)}{a_n}$ existiert. Analog mit $h<0$.\n",
    "\n",
    "Ändern wir unsseren Definitionsbereich nun auf $\\mathbb C$ um, so gibt es mehr Möglichkeiten an Folgen, die sich an die Null nähern können. Man kann sich dies anhand der nachfolgenden Abbildung veranschaulichen."
   ]
  },
  {
   "attachments": {
    "b96d4e75-b93a-45c1-a692-9afb9b9d54c9.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "c28f06c8-98e2-4e01-bea3-f095a3c60c53",
   "metadata": {},
   "source": [
    "\n",
    "<div>\n",
    "    <img src=\"attachment:b96d4e75-b93a-45c1-a692-9afb9b9d54c9.png\" width=\"500\"/>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b8f6288-f173-4cf9-b276-4da71399dbeb",
   "metadata": {},
   "source": [
    "Während wir uns im Rahmen der reellen Differenzierbarkeit nur auf der reellen Achse bewegen können (rote Pfeile), so haben wir für die komplexe Differenzierbarkeit auch die Wahl, den Imaginärteil einer Folge zu variieren. Das erlaubt uns unendlich viele Möglichkleiten an Richtungen, mit denen wir uns der Null nähern können.\n",
    "\n",
    "Die komplexe Differenzierbarkeit ist daher eine starke Eigenschaft: Wir können uns aus der komplexen Ebene von **jeder** Richtung nähern und erhalten den selben Grenzwert."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fab2fd6f-772a-40ff-a9e5-abbd91ac92bf",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe 1\n",
    "***\n",
    "\n",
    "1. Zeigen Sie, dass die Funktion $f : \\mathbb{C} \\rightarrow \\mathbb{R}, z \\mapsto Re(z)$ nirgends differenzierbar ist.\n",
    "1. Untersuchen Sie die Funktion $f : \\mathbb{C} \\rightarrow \\mathbb{R}, z \\mapsto |z|^2$ auf komplexe Differenzierbarkeit. <br> *Tipp: Betrachten Sie |z|^2 = (x+iy)^2*\n",
    "1. Man kann die komplexe Differenzierbarkeit auch anders definieren: <br>\n",
    "Sei $ U \\subset \\mathbb{C}$ offen $z_0 \\in \\mathbb{C} $ und $f: U \\rightarrow \\mathbb{C} $ eine Funktion. $f$ heißt komplex differenzierbar in $z_0$, wenn es eine in $z_0$ **stetige** Funktion $\\Delta : U \\rightarrow \\mathbb{C}$ gibt, so dass <br> <br>\n",
    "    $$\n",
    "    f(z) = f(z_0) + \\Delta(z) \\cdot (z-z_0), \\forall z \\in U.\n",
    "    $$ <br>\n",
    "    Zeigen Sie, dass diese Definition äquivalent zur Definition aus diesem Notebooks ist. Folgern Sie dann, dass aus komplexer Differenzierbarkeit auch Stetigkeit folgt. \n",
    "    <br> *Hinweis*. Betrachten Sie $\\Delta =\n",
    "    \\begin{cases}\n",
    "        \\frac{f(z)-f(z_0)}{z-z_0} & \\text{wenn } z \\neq z_0 \\\\\n",
    "        f'(z_0) & \\text{wenn } z = z_0\n",
    "    \\end{cases}$\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5dc2760c-99da-406a-a517-001c77153cd2",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "42d068d0-8a6b-4b3d-8f84-eb93c05a0c15",
   "metadata": {},
   "source": [
    "Das Rechnen mit Limiten ist aber auf Dauer ein wenig anstrengend, weshalb die Frage aufkommt: Kann man noch irgendwie anders überprüfen, ob eine Funktion in $z_0$ komplex differenzierbar ist? Gibt es noch andere Kriterien?\n",
    "\n",
    "Wir betrachten nochmal das Beispiel (ii) näher.\n",
    "Damit der Grenzwert existiert, müssen die Richtungsableitungen entlang der reellen- und der imaginären Achse gleich sein. Uns fällt weiter auf, dass die reelle- und imaginäre Achsen grafisch gesehen analog zur x- und y-Achse betrachtet werden können. Wir gehen einen Schritt weiter und sagen $ \\mathbb{C} \\cong \\mathbb{R}^2 $, was schnell nachzuweisen ist."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c94f1759-386c-4438-9111-f9503dff8c8b",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Freiwillige Aufgabe\n",
    "***\n",
    "    \n",
    "Zeigen Sie, dass $\\mathbb{C} \\cong \\mathbb{R}^2 $.\n",
    "\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7cb615d-65da-4bf2-9914-c24fb98ea197",
   "metadata": {},
   "source": [
    "Damit ist es gerechtfertigt, wenn wir eine komplexe Funktion $f$ von einer anderen Sichtweise betrachten:\n",
    "\n",
    "$$\n",
    "\\tilde f: \\mathbb{R}^2 \\rightarrow \\mathbb{R}^2, \\begin{pmatrix} x \\\\ y \\end{pmatrix} \\mapsto \n",
    "         \\begin{pmatrix}\n",
    "           Re\\, f(x+iy) \\\\\n",
    "           Im\\, f(x+iy)\n",
    "         \\end{pmatrix} = \\begin{pmatrix}\n",
    "           u(x,y) \\\\\n",
    "           v(x,y)\n",
    "         \\end{pmatrix}\n",
    "$$ "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d78d9e9b-d3e2-4900-8dd1-f861c14e7294",
   "metadata": {},
   "source": [
    "Im Folgenden wollen einige Ausdrücke definieren: $u_x := \\frac{\\partial u(x,y)}{\\partial x}$ sowie $u_y := \\frac{\\partial u(x,y)}{\\partial y}$. Analog für $v_x, v_y$. \n",
    "\n",
    "Beispielsweise wäre für $g(x + iy) = cos(x) + i sin(y)$ die Darstellung in $\\mathbb R^2$ folgendermaßen:\n",
    "\n",
    "$$\n",
    "\\tilde g: \\mathbb{R}^2 \\rightarrow \\mathbb{R}^2, y = \\begin{pmatrix} x \\\\ y \\end{pmatrix} \\mapsto \n",
    "         \\begin{pmatrix}\n",
    "           cos(x) \\\\\n",
    "           sin(y)\n",
    "         \\end{pmatrix}\n",
    "$$ <br>\n",
    "\n",
    "Dann ist $u_x (x,y) = -sin(x)$ und $v_x(x,y) = 0$ sowie $u_y(x,y) = 0$ und $v_y(x,y) = cos(y)$.\n",
    "\n",
    "Gleichzeitig definieren wir uns zu einer offenen Menge $U\\subseteq \\mathbb{C}$ die Menge $\\tilde U := \\left\\{\\left(\\begin{smallmatrix} x \\\\ y \\end{smallmatrix}\\right) \\vert\\, x + iy \\in U \\right\\}$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80305068-11dd-4f8a-9b6d-aed4e7c8e274",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "       \n",
    "<b> Erinnerung: Totale Differenzierbarkeit </b>\n",
    "    \n",
    "    \n",
    "Eine Funktion $\\tilde f: \\tilde U \\rightarrow \\mathbb R ^2$ heißt **reell total differenzierbar** in $\\left(\\begin{smallmatrix} x_0 \\\\ y_0 \\end{smallmatrix}\\right)$, falls es eine Matrix $T \\in \\mathbb{R}^{2x2}$ und ein stetiges $\\varphi: \\tilde U \\rightarrow \\mathbb{R}^2$ mit $\\varphi(x_0,y_0) = 0$ gibt, sodass $\\forall \\left(\\begin{smallmatrix} x \\\\ y \\end{smallmatrix}\\right) \\in \\tilde U$:\n",
    "    \n",
    "$$\n",
    "    \\tilde f (x,y) = \\tilde f(x_0,y_0) + T \\begin{pmatrix} x-x_0 \\\\ y-y_0 \\end{pmatrix} + {\\left\\| \\begin{pmatrix} x-x_0 \\\\ y-y_0 \\end{pmatrix}  \\right\\|}_2 \\cdot \\varphi(x,y)\n",
    "$$\n",
    "\n",
    "Zudem ist \n",
    "$$\n",
    "    T = \\begin{pmatrix} u_x(x_0,y_0) & u_y(x_0,y_0) \\\\ v_x(x_0,y_0) & v_y(x_0,y_0) \\end{pmatrix} = D\\tilde f(x_0,y_0).\n",
    "$$ Also die Jacobi Matrix zu $\\tilde f$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6237b7c5-eed4-4141-8300-76507e427420",
   "metadata": {},
   "source": [
    "### Bemerkung\n",
    "Aus der Analysis II sollten Ihnen vielleicht die Implikationskette bekannt vorkommen:\n",
    "\n",
    "$$\n",
    "f \\text{ stetig partiell differenzierbar} \\Rightarrow f \\text{ total differenzierbar} \\Rightarrow f \\text{ partiell differenzierbar}\n",
    "$$\n",
    "\n",
    "Damit ist es möglich, reell total differenzierbare Funktionen zu identifizieren. Z.B. ist $\\tilde g$ ein solcher Kandidat. Machen Sie sich bewusst, warum das der Fall ist."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "575f9208-870a-4af1-9575-f40b1722c4c5",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "\n",
    "**(1.1) Satz:**\n",
    "\n",
    "    \n",
    "Sei $f:U \\rightarrow \\mathbb C = u+iv $ und $z_0 = x_0 + iy_0 \\in U$. Dann sind folgende Aussagen äquivalent:\n",
    "    \n",
    "1. $f$ ist in $z_0$ komplex differenzierbar.\n",
    "1. $f$ ist in $z_0$ reell total differenzierbar und die Bedingungen \n",
    "    $$ u_x(x_0,y_0) = v_y(x_0,y_0) \\quad \\text{und}\\quad u_y(x_0,y_0) = -v_x(x_0,y_0) $$ gelten. <br> Diese Gleichungen werden auch auch **Cauchy-Riemannsche Differentialgleichungen** genannt.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c0cc6ad-7b9c-46d2-beb8-b591998928b4",
   "metadata": {},
   "source": [
    "*Beweis.* Für die motivierten Lesenden."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9c0a5f12-3949-44cb-9c97-df7aa7c5f727",
   "metadata": {},
   "source": [
    "Wir möchten hier an dieser Stelle viel lieber die Resultate dieses Satzes betrachten und schauen uns ein Beispiel an. Die Cauchy-Riemann Differentialgleichungen sind nämlich viel einfacher handzuhaben als die Definition, um Aussagen über komplexe Differenzierbarkeit zu treffen.\n",
    "\n",
    "Sei $f: \\mathbb C \\rightarrow \\mathbb C, z \\mapsto z = x+iy$. Dann sind $u(x,y) = x$ und $v(x,y) = y$ stetig partiell differentierbar und damit $\\tilde f$ reell total differenzierbar (vgl. Analysis II) . Zudem ist $u_x(x,y) = 1 = v_y(x,y)$ und $u_y(x,y) = 0 = - v_x(x,y)$. Unsere DGL sind also **für alle** $z \\in \\mathbb C$ bzw. $x,y\\in \\mathbb R$ erfüllt und wir erhalten mit dem vorherigen Satz, dass $f$ auf ganz $\\mathbb C$ holomorph ist! <br>\n",
    "\n",
    "<br>\n",
    "\n",
    "Als eine weitere Folgerung erhalten wir, dass falls $f'$ in $z_0 \\in \\mathbb C$ komplex differenzierbar ist, die folgende Beziehung gilt\n",
    "\n",
    "$$ f'(z_0) = u_x(x_0,y_0) + iv_x(x_0,y_0) = v_y(x_0,y_0) - iu_y(x_0,y_0).\\; \\text{(Warum?)}$$ \n",
    "\n",
    "Es reicht schon zur Bestimmung der Ableitung an einer Stelle für eine komplex differenzierbaren Funktion, sich nur eine Richtung anzuschauen!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd9da7a4-f831-4e9f-bd03-b3c089c8d460",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "    \n",
    "### Aufgabe 2.1    \n",
    "***\n",
    "Zeigen Sie mithilfe der Cauchy-Riemann Differentialgleichungen, dass $f : \\mathbb{C} \\rightarrow \\mathbb{R}, z \\mapsto z^3$ auf $\\mathbb{C}$ holomorph ist und untersuchen Sie folgende Funktionen ebenfalls auf komplexe Differenzierbarkeit:\n",
    "    - $f(z) = z\\bar z$\n",
    "    - $f(z) = Re(z)$\n",
    "    \n",
    "### Aufgabe 2.2\n",
    "***\n",
    "1. Sei $U \\subset \\mathbb C$ und $f:U \\rightarrow \\mathbb C$ holomorph. Zeigen Sie, dass falls $Re(f)$ oder $Im(f)$ konstant sind, so auch $f$ konstant ist. Nutzen Sie auch hierfür die Cauchy-Riemann Differentialgleichungen.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "950492a0-2dbe-47eb-81c2-436b959553e7",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e94385eb-10f7-4485-91f0-1dd6b11e29a2",
   "metadata": {},
   "source": [
    "Jetzt verstehen wir, wie komplexe Funktionen beschaffen sein müssen, um holomorph auf einer Menge zu sein. Aber wie rechnen wir mit solchen komplexen Funktionen?\n",
    "\n",
    "Mit den nächsten Sätzen, die wir und Sie beweisen werden, können wir einige Parallelen zur reellen Analysis wiederfinden."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5911343-b07e-4a1e-8089-46baee41fb1d",
   "metadata": {},
   "source": [
    "### Analogien aus dem Reellen und Unterschiede"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9d5fec4-fb48-4f0c-91ae-3f8902841442",
   "metadata": {},
   "source": [
    "Wir wollen als Erstes altbekannte Differenzitiationsregeln behandeln. Sagt Ihnen die Produkt -und Kettenregel noch etwas?\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4306f3c7-b634-4657-b4bb-be7e0da433a3",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "\n",
    "**(1.2) Satz:**\n",
    "\n",
    "\n",
    "Seien $U\\subset \\mathbb C$ offen und $f,g: U \\rightarrow \\mathbb C$ komplex differenzierbar in $z_0 \\in \\mathbb C$ sowie $a,b \\in \\mathbb C$. Dann ist\n",
    "    \n",
    "1. $ af + bg$ komplex differenzierbar in $z_0$ mit <br> $$ (af + bg)'(z_0) = af'(z_0) + bg'(z_0) $$ <br>\n",
    "1. $f\\cdot g$ komplex differenzierbar in $z_0$ mit <br>\n",
    "    $$ (f\\cdot g)' (z_0) = (f'\\cdot g)(z_0) + (f \\cdot g') (z_0) \\quad \\text{(Produktregel)}$$ <br> \n",
    "1.  $h \\circ f$ komplex differenzierbar in $z_0$ mit $h:V \\subset \\mathbb C \\rightarrow \\mathbb C$ komplex differenzierbar in $f(z_0)$ und $f(U) \\subset V$.<br> Also <br> \n",
    "    $$ (h\\circ f)'(z_0) = h'(f(z_0)) \\cdot f'(z_0). \\quad \\text{(Kettenregel)} $$<br> \n",
    "\n",
    "Ist $f:U \\rightarrow V $ biholomorph mit offenen $U,V \\subset \\mathbb C$, dann gilt <br> $$ (f^{-1})' (v) = \\frac{1}{f'(f^{-1}(v))} \\quad \\forall v \\in V $$  \n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebe85da3-b18d-4e4e-9074-493de21c75eb",
   "metadata": {},
   "source": [
    "*Beweis*. \n",
    "1. Übung\n",
    "1. Übung\n",
    "1. Wir schreiben mithilfe von Aufgabe 1.3 \n",
    "$$ f(z) = f(z_0) + (z-z_0) \\cdot \\Delta(z) \\quad\\text{und}\\quad h(v) = h(v_0) + (v-v_0) \\cdot \\bar\\Delta(v)$$\n",
    "\n",
    "Dann ist mit $v = f(z)$: <br> $$(h\\circ f)(z) = h(f(z_0) + (f(z)-f(z_0)) \\cdot \\bar\\Delta(f(z)) =  h(f(z_0) + (z-z_0)\\cdot \\Delta(z) \\cdot \\bar\\Delta(f(z)).$$ \n",
    "Da $\\Delta(z) \\cdot \\bar\\Delta(f(z))$ stetig in $z_0$ ist, folgt nach Einsetzen <br>\n",
    "$$(h\\circ f)'(z_0) = \\Delta(z_0) \\cdot \\bar\\Delta(f(z_0)) = f'(z_0) \\cdot h'(f(z_0)).$$\n",
    "\n",
    "<br>\n",
    "\n",
    "Für die Umkehrregel zeigen wir zunächst $f'(z) \\neq 0 $ für alle $z \\in U = f^{-1}(V)$. <br>\n",
    "Sei dazu $z = f^{-1}(v)$ für $z \\in U$ und $v \\in V$. \n",
    "Wir wissen, dass $v = f(f^{-1}(v))$. Mit der Kettenregel erhalten wir dann $1 = f'(f^{-1}(v)) \\cdot (f^{-1})'(v)$. (Warum dürfen wir die Kettenregel anwenden?). Damit können wir folgern, dass $f'(z) \\neq 0$. Damit ist gerechtfertigt, mit $f'(f^{-1}(v))$ zu teilen und es ergibt sich die gewünschte Gleichung.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "872dbfd1-d96a-4bf7-94db-e690197ec747",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe 3.1\n",
    "***\n",
    "    \n",
    "Beweisen Sie (1) und (2) aus Satz (1.2).\n",
    "    \n",
    "### Aufgabe 3.2\n",
    "***\n",
    "1. Zeigen sie, dass $z \\mapsto 3z+2i$ biholomorph ist. Bestimmen Sie die Inverse und ihre Ableitung.\n",
    "\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b5e8f7da-8ff5-45ce-a733-e31121baef7c",
   "metadata": {},
   "source": [
    "Wir können mit vorherigem Satz nun zeigen, dass alle Polynome der Form $$\\sum_{k=0}^n a_k z^k$$ mit $a_k \\in \\mathbb C$ und $n\\in \\mathbb N$ ganze Funktionen sind. Man kann sogar zeigen, dass Potenzreihen (also z.B. $N \\to \\infty$) innerhalb ihrer Konvergenzradien holomorph sind. Das ist sicherlich nicht viel anders, wie wir aus der reellen Analysis kennen: Eine Potenzreihe ist innerhalb ihres Konvergenzradius (reell) differenzierbar. Ein Beispiel einer Potenzreihe, welche wir uns gleich anschauen, ist die Exponentialfunktion.\n",
    "\n",
    "Aber wo gibt es nun Unterschiede? Den ersten **Unterschied**, den wir hier nennen, aber nicht beweisen werden, fassen wir zusammen im nächsten"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c71d489-fec9-4814-ad80-9994a0ed8224",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "\n",
    "**(1.3) Satz:**\n",
    "    \n",
    "Jede holomorphe Funktion ist beliebig oft komplex differenzierbar. Jede Ableitung ist damit holomorph.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f78ea801-a9df-4f30-905b-2b378cf5a251",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe 4\n",
    "***\n",
    "\n",
    "Gilt Satz (1.3) auch in $\\mathbb R$ mit reellen differenzierbaren Funktionen? \n",
    " \n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45137be2-2ffb-4017-8d5d-4db31c7f41b2",
   "metadata": {},
   "source": [
    "Dieser Satz bietet die Grundlage für Potenzreihenentwicklungen. Denn nun können wir getrost Taylor-Reihen betrachten. Machen Sie sich an dieser Stelle noch einmal klar, was eine Taylor-Reihe ist."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "19f9c8c4-b9b1-472d-91fa-9e83474667ae",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "\n",
    "**(1.4) Satz:**\n",
    "    \n",
    "Seien $U\\subset \\mathbb C$ offen, $z_0 \\in \\mathbb C$, $R:= sup\\{r>0; K_r(z_0) \\subset U\\}$ und $f:U \\rightarrow \\mathbb C$ holomorph. Dann ist $f$ um $z_0$ als eine Potenzreihe entwickelbar mit <br>\n",
    "$$\n",
    "f(z) = \\sum_{n=0}^{\\infty} a_n (z-z_0)^n.\n",
    "$$ <br>\n",
    "\n",
    "Die Koeffizienten $a_n$ sind gegeben durch $a_n = \\frac{1}{n!} f^{(n)}(z_0)$ und sind eindeutig bestimmt. \n",
    "\n",
    "Zudem konvergiert die Potenzreihe auf $K_R(z_0)$ lokal gleichmäßig gegen $f$.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fdfe1c22-dd4b-4bae-b1d5-5335b3afb870",
   "metadata": {},
   "source": [
    "Der Satz erlaubt es uns, zu sagen, dass jede holomorphe Funktion lokal eine Potenzreihe ist! Dies bietet die Grundlage für verschiedene Sätze und Erkenntnisse... z.B. besitzt eine holomorphe Funktion $f:U \\rightarrow \\mathbb C$ lokal eine Stammfunktion. Das können wir sicherlich in der reellen Analysis nicht von jeder reell differenzierbaren Funktion behaupten.\n",
    "\n",
    "Als ein elementares Beispiel wollen wir nun die Exponentialfunktion betrachten. Sie wurde definiert mit\n",
    "\n",
    "$$ \\exp(z) = \\sum_{n=0}^{\\infty} \\frac{1}{n!}z^n. $$ \n",
    "\n",
    "Der Konvergenzradius von $\\exp$ ist unendlich, d.h. $\\exp$ ist eine ganze Funktion! Es fällt uns aber schon der nächste Unterschied auf: $\\exp$ **ist nicht injektiv** auf $\\mathbb C$. Dagegen ist $\\exp$ auf $\\mathbb R$ sogar bijektiv. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3d35c43-d71d-49c7-ada6-b596225b6412",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-warning\">\n",
    "<b>Denkanstoß:</b>\n",
    "    \n",
    "Wie sieht es mit den trigonometrischen Funktionen $\\sin$, $\\cos$ und $\\tan$ aus?\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a73afa29-becb-4d16-8f44-8e9807c437d0",
   "metadata": {},
   "source": [
    "Wir sehen, dass eine holomorphe Funktion in eine Potenzreihe entwickelbar ist. Das wird uns helfen, den nächsten Satz zu beweisen, den Sie bestimmt aus der Analysis kennen und lieben:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94a78da5-5cff-41ec-a7cf-7086ae571a64",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "\n",
    "**(1.5) Satz. (Regel von L'Hospital):**\n",
    "\n",
    "Seien $U \\subset \\mathbb C$ offen, $z_0 \\in \\mathbb C$ und $f,g: U \\rightarrow \\mathbb C$ holomorph. Weiter sei $f(z_0)=g(z_0)=0$ sowie $g'(z_0) \\neq 0$. Dann gilt\n",
    "    \n",
    "$$ \\lim_{z\\to z_0} \\frac{f(z)}{g(z)} = \\lim_{z\\to z_0} \\frac{f'(z)}{g'(z)}.$$\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3121ce43-5714-43ba-982c-202fe950ab28",
   "metadata": {},
   "source": [
    "*Beweis.* Da $f$ und $g$ holomorph sind, können wir sie nach Satz (1.4) als eine Potenzreihe um $z_0$ entwickeln.\n",
    "Wir erhalten $f(z) = \\sum_{n=0}^{\\infty} a_n (z-z_0)^n$ und $g(z) = \\sum_{n=0}^{\\infty} b_n (z-z_0)^n$, wobei die Koeffizienten wie in Satz (1.4) definiert sind.\n",
    "Damit lautet der Quotient \n",
    "\n",
    "$$ \\lim_{z\\to z_0} \\frac{f(z)}{g(z)} = \\lim_{z\\to z_0} \\frac{f(z_0) + \\sum_{n=1}^{\\infty} \\frac{f'(z_0)}{n!} (z-z_0)^n\n",
    "}{g(z_0)+\\sum_{n=1}^{\\infty} \\frac{g'(z_0)}{n!} (z-z_0)^n} = \\lim_{z\\to z_0} \\frac{\\sum_{n=1}^{\\infty} \\frac{f'(z_0)}{n!} (z-z_0)^n\n",
    "}{\\sum_{n=1}^{\\infty} \\frac{g'(z_0)}{n!} (z-z_0)^n} $$\n",
    "\n",
    "$\\dots$\n",
    "*Übung*"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "edc692d2-2e21-4b60-a26b-b22522c33527",
   "metadata": {},
   "source": [
    "Es gibt sicherlich noch mehr Analogien sowie Unterschiede in der reellen und komplexen Analysis, aber wir geben noch ein letztes Beispiel für einen Unterschied:"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2e5bc70-ec53-4de3-90ee-8826aeb7ca6e",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-info\">\n",
    "\n",
    "**(1.6) Satz. (LIOUVILLE)**\n",
    "    \n",
    "Jede beschränkte ganze Funktion ist konstant.\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "26752fd0-cc12-4506-94e4-fdd141133309",
   "metadata": {},
   "source": [
    "Das ist schon ein erstaunliches Ergebnis aus der Funktionentheorie. Man kann aus wenig Informationen bereits viele Eigenschaften einer komplexen Funktion ableiten. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "881aef6d-0acb-4825-8863-bddf91e97239",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-success\">\n",
    "\n",
    "### Aufgabe 5\n",
    "***\n",
    "    \n",
    "1. Zeigen Sie, dass Polynome ganze Funktionen sind. Folgern Sie damit, dass auch endliche Potenzreihen der Form $$f(z) = \\sum_{k=0}^n a_i (z-z_0)^k $$ ganze Funktionen sind und bestimmen Sie die Ableitung.    \n",
    "1. Gilt Satz (1.6) auch in $\\mathbb R$ mit reellen differenzierbaren Funktionen?\n",
    "1. Warum ist $\\exp$ nicht injektiv auf $\\mathbb C$?\n",
    "1. Führen Sie den Beweis von L'Hospital zu Ende. <br>\n",
    "   *Hinweis.* Klammern Sie $(z-z_0)$ aus.\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21c039b2-a3f4-46db-bb72-a9cba6fe34e0",
   "metadata": {},
   "source": [
    "### Kleine Anwendung der komplexen Analysis\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa10b6dc-a15a-4cb1-b646-6f1ab74372a2",
   "metadata": {},
   "source": [
    "Holomorphe Funktionen finden in vielen anderen mathematischen Gebieten und Naturwissenschaften Anwendung. Besonders viele schwere Integrale lassen sich sehr einfach mit Funktionentheorie lösen!\n",
    "Wir nehmen hier als Anwendungsgebiet die Algebra unter die Lupe.\n",
    "\n",
    "Sie kennen sicherlich den **Fundamentalsatz der Algebra**: Jedes nicht-konstante Polynom besitzt in den komplexen Zahlen mindestens eine Nullstelle. Genauer: Die Anzahl der Nullstellen (mit Vielfachheit) entspricht dem Grad des Polynoms.\n",
    "\n",
    "Dieser Satz lässt sich bis auf die Hilfe des Zwischenwertsatzes komplett mit Körpertheorie lösen. Wir wollen nun einen anderen Weg gehen und beweisen den Fundamentalsatz indirekt mithilfe von Satz (1.6)!\n",
    "\n",
    "***\n",
    "\n",
    "Wir gehen die Beweisidee anhand eines Beispiels durch.\n",
    "Sei $f: \\mathbb C \\rightarrow \\mathbb C, z \\mapsto z^{420}+z^{69}+\\pi$. Als Polynomfunktion ist $f$ holomorph bzw. eine ganze Funktion, ist also auch stetig.\n",
    "\n",
    "Angenommen $f$ hätte keine Nullstelle. Dann wäre ebenfalls $z\\mapsto \\frac{1}{f(z)}$ eine ganze Funktion (Warum?). <br> Da $\\lim_{z\\to \\infty} |f(z)| = \\infty$ und $|f|$ stetig ist (Warum?), kann man sagen dass $z \\mapsto \\frac{1}{f(z)}$ beschränkt ist, also ex. ein $C \\in \\mathbb C$, sodass $\\forall z\\in \\mathbb C:\\frac{1}{|f(z)|} \\leq \\frac{1}{C}$ (Warum?). Mit Satz (1.6) wäre $\\frac{1}{f(z)}$ jedoch konstant. Ein Widerspruch.\n",
    "\n",
    "Die Gleichung $z^{420}+z^{69}+\\pi=0$ hat also mindestens eine Lösung."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21c1b25f-aeac-46a9-ba92-1864b5ab332b",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-block alert-danger\">\n",
    "    \n",
    "### Rückblick-Aufgabe\n",
    "***\n",
    "\n",
    "Das Ziel des Notebooks war es, die komplexe Differentiation näher kennenzulernen und die Eigenschaften solcher Funktionen zu verstehen, die komplex differenzierbar sind.\n",
    "Als Motivation haben wir das Wechseln unseres Definitionsbereiches von den reellen Zahlen in die komplexen Zahlen für Funktionen gesehen. Wir haben gemerkt, dass die komplexe Differentiation gar nicht so weit von der reellen Differentiation entfernt ist und können fast analog wie in $\\mathbb R$ rechnen, denn wir haben einige Analogien wie die Produktregel, Kettenregel sowie L'Hospital in $\\mathbb C$ wiederfinden können. Allerdings tauchen doch einige Unterschiede, die auf dem ersten Blick vielleicht erstaunlich wirken können, wie den Satz von Liouville. Zu guter Letzt kam auch ein kleiner Teil der Anwendungen von komplexer Analysis nicht zu kurz.\n",
    "\n",
    "Wie könnte nun der indirekte Beweis des Fundamentalsatzes aussehen? (Beantworten Sie die Warum-Fragen!)\n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1dd0118a-6f48-4cf3-8cb4-7fe5b0a19cc6",
   "metadata": {},
   "source": [
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fdece9c-857e-4f05-be95-03a9ff6f4c07",
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   "source": [
    "### Literaturhinweise\n",
    "- Wikipedia (2023). *Holomorphe Funktion*. https://de.wikipedia.org/wiki/Holomorphe_Funktion\n"
   ]
  }
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