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				<div style="text-align:left;margin-bottom:20px;">  		</div><span itemprop="name" class="title">Mathematik für Ingenieure<br></span><p>Autoren:<br><span itemprop="author" class="author"><b>Wolfgang Brauch, Hans-Joachim Dreyer, Wolfhart Haacke</b></span></p><p>Verlag:<br><b itemprop="publisher">Teubner B.G. </b>&nbsp;&nbsp;<a onclick="SearchPubl('Teubner B.G. ')" href="#">Weitere Titel dieses Verlages anzeigen</a></p>		
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<span class="notbold">Auflage: </span>11., durchges. A.<br><span class="notbold">Erschienen: </span>Februar 2006<br><span class="notbold">Seiten: </span>751<br><span class="notbold">Sprache: </span>Deutsch<br><span class="notbold">Preis: </span>47.99 €<br><span class="notbold">Illustration: </span>450 Abb., 419 Beisp. u. 312 Aufg. m. Lös.
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						<h1><a href="_9783835100732_inhalt.html">Inhaltsverzeichnis</a></h1>
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<!--#L0--><tr><td valign=top width=10%><font size=4><b>1</font></b><td width=82%><font size=4><b>Grundlagen </font></b><td valign=top align=right width=8%><!--/#L0-->
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<!--#L1--><tr><td valign=top width=10%>1.1<td width=82%>Aussagenlogik und Beweisverfahren.<td valign=top align=right width=8%>13<!--/#L1-->
<tr><td valign=top width=10%>1.1.1<td width=82%>Ausdruck. Aussage. Definition. Axiom.<td valign=top align=right width=8%>13
<tr><td valign=top width=10%>1.1.2<td width=82%>Aussagenverknüpfung.<td valign=top align=right width=8%>16
<tr><td valign=top width=10%>1.1.3<td width=82%>Aussagenlogische Ausdrücke und Gesetze.<td valign=top align=right width=8%>20
<tr><td valign=top width=10%>1.1.4<td width=82%>Mathematische Beweisverfahren.<td valign=top align=right width=8%>23
<tr><td valign=top width=10%>1.1.5<td width=82%>Aufgaben zu Abschnitt 1.1.<td valign=top align=right width=8%>28
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<!--#L1--><tr><td valign=top width=10%>1.2<td width=82%>Zahlen und Zahlensysteme.<td valign=top align=right width=8%>29<!--/#L1-->
<tr><td valign=top width=10%>1.2.1<td width=82%>Einteilung der Zahlen.<td valign=top align=right width=8%>29
<tr><td valign=top width=10%>1.2.2<td width=82%>Zahlensysteme.<td valign=top align=right width=8%>34
<tr><td valign=top width=10%>1.2.3<td width=82%>Aufgaben zu Abschnitt 1.2.<td valign=top align=right width=8%>36
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<!--#L0--><tr><td valign=top width=10%><font size=4><b>2</font></b><td width=82%><font size=4><b>Abbildungen. Funktionen </font></b><td valign=top align=right width=8%><!--/#L0-->
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<!--#L1--><tr><td valign=top width=10%>2.1<td width=82%>Abbildungen.<td valign=top align=right width=8%>37<!--/#L1-->
<tr><td valign=top width=10%>2.1.1<td width=82%>Aufgaben zu Abschnitt 2.1.<td valign=top align=right width=8%>39
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<!--#L1--><tr><td valign=top width=10%>2.2<td width=82%>Gleichungen. Ungleichungen.<td valign=top align=right width=8%>40<!--/#L1-->
<tr><td valign=top width=10%>2.2.1<td width=82%>Gleichungen.<td valign=top align=right width=8%>40
<tr><td valign=top width=10%>2.2.2<td width=82%>Ordnungsrelationen. Ungleichungen.<td valign=top align=right width=8%>41
<tr><td valign=top width=10%>2.2.3<td width=82%>Signum. Betrag.<td valign=top align=right width=8%>42
<tr><td valign=top width=10%>2.2.4<td width=82%>Rechnen mit Ungleichungen.<td valign=top align=right width=8%>44
<tr><td valign=top width=10%>2.2.5<td width=82%>Aufgaben zu Abschnitt 2.2.<td valign=top align=right width=8%>47
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<!--#L1--><tr><td valign=top width=10%>2.3<td width=82%>Folgen. Stetigkeit.<td valign=top align=right width=8%>48<!--/#L1-->
<tr><td valign=top width=10%>2.3.1<td width=82%>Zahlenfolgen.<td valign=top align=right width=8%>48
<tr><td valign=top width=10%>2.3.2<td width=82%>Rechnen mit Grenzwerten.<td valign=top align=right width=8%>54
<tr><td valign=top width=10%>2.3.3<td width=82%>Stetigkeit.<td valign=top align=right width=8%>56
<tr><td valign=top width=10%>2.3.4<td width=82%>Aufgaben zu Abschnitt 2.3.<td valign=top align=right width=8%>59
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<!--#L1--><tr><td valign=top width=10%>2.4<td width=82%>Darstellung von Funktionen.<td valign=top align=right width=8%>60<!--/#L1-->
<tr><td valign=top width=10%>2.4.1<td width=82%>Funktionsgleichung.<td valign=top align=right width=8%>61
<tr><td valign=top width=10%>2.4.2<td width=82%>Funktionstafel.<td valign=top align=right width=8%>64
<tr><td valign=top width=10%>2.4.3<td width=82%>Funktionsdiagramm.<td valign=top align=right width=8%>67
<tr><td valign=top width=10%>2.4.4<td width=82%>Aufgaben zu Abschnitt 2.4.<td valign=top align=right width=8%>71
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<!--#L1--><tr><td valign=top width=10%>2.5<td width=82%>Weitere Grundbegriffe der Funktionslehre.<td valign=top align=right width=8%>72<!--/#L1-->
<tr><td valign=top width=10%>2.5.1<td width=82%>Aufgelöste Form. Umkehrfunktion.<td valign=top align=right width=8%>72
<tr><td valign=top width=10%>2.5.2<td width=82%>Koordinatentransformation.<td valign=top align=right width=8%>74
<tr><td valign=top width=10%>2.5.3<td width=82%>Charakteristische Eigenschaften von Funktionen.<td valign=top align=right width=8%>79
<tr><td valign=top width=10%>2.5.4<td width=82%>Aufgaben zu Abschnitt 2.5.<td valign=top align=right width=8%>83
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<!--#L0--><tr><td valign=top width=10%><font size=4><b>3</font></b><td width=82%><font size=4><b>Spezielle Funktionen </font></b><td valign=top align=right width=8%><!--/#L0-->
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<!--#L1--><tr><td valign=top width=10%>3.1<td width=82%>Ganze rationale Funktionen.<td valign=top align=right width=8%>84<!--/#L1-->
<tr><td valign=top width=10%>3.1.1<td width=82%>Lineare Funktion.<td valign=top align=right width=8%>85
<tr><td valign=top width=10%>3.1.2<td width=82%>Quadratische Funktion.<td valign=top align=right width=8%>87
<tr><td valign=top width=10%>3.1.3<td width=82%>Ganze rationale Funktionen dritten und höheren Grades.<td valign=top align=right width=8%>90
<tr><td valign=top width=10%>3.1.4<td width=82%>Aufgaben zu Abschnitt 3.1.<td valign=top align=right width=8%>97
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<!--#L1--><tr><td valign=top width=10%>3.2<td width=82%>Gebrochene rationale Funktionen.<td valign=top align=right width=8%>99<!--/#L1-->
<tr><td valign=top width=10%>3.2.1<td width=82%>Aufgaben zu Abschnitt 3.2.<td valign=top align=right width=8%>102
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<!--#L1--><tr><td valign=top width=10%>3.3<td width=82%>Algebraische Funktionen.<td valign=top align=right width=8%>103<!--/#L1-->
<tr><td valign=top width=10%>3.3.1<td width=82%>Potenzfunktion.<td valign=top align=right width=8%>104
<tr><td valign=top width=10%>3.3.2<td width=82%>Allgemeine Gleichung 2. Grades. Kegelschnitte.<td valign=top align=right width=8%>106
<tr><td valign=top width=10%>3.3.3<td width=82%>Aufgaben zu Abschnitt 3.3.<td valign=top align=right width=8%>115
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<!--#L1--><tr><td valign=top width=10%>3.4<td width=82%>Trigonometrische Funktionen.<td valign=top align=right width=8%>117<!--/#L1-->
<tr><td valign=top width=10%>3.4.1<td width=82%>Definitionen. Periodizität. Graph.<td valign=top align=right width=8%>117
<tr><td valign=top width=10%>3.4.2<td width=82%>Beziehungen zwischen den Winkelfunktionen.<td valign=top align=right width=8%>121
<tr><td valign=top width=10%>3.4.3<td width=82%>Darstellung periodischer Vorgänge.<td valign=top align=right width=8%>125
<tr><td valign=top width=10%>3.4.4<td width=82%>Arcusfunktionen.<td valign=top align=right width=8%>131
<tr><td valign=top width=10%>3.4.5<td width=82%>Nullstellen. Goniometrische Gleichungen.<td valign=top align=right width=8%>134
<tr><td valign=top width=10%>3.4.6<td width=82%>Aufgaben zu Abschnitt 3.4.<td valign=top align=right width=8%>137
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<!--#L1--><tr><td valign=top width=10%>3.5<td width=82%>Exponential- und Logarithmusfunktionen.<td valign=top align=right width=8%>139<!--/#L1-->
<tr><td valign=top width=10%>3.5.1<td width=82%>Exponentialfunktion.<td valign=top align=right width=8%>139
<tr><td valign=top width=10%>3.5.2<td width=82%>Logarithmusfunktion.<td valign=top align=right width=8%>141
<tr><td valign=top width=10%>3.5.3<td width=82%>Logarithmische Funktionspapiere.<td valign=top align=right width=8%>144
<tr><td valign=top width=10%>3.5.4<td width=82%>Hyperbelfunktionen.<td valign=top align=right width=8%>147
<tr><td valign=top width=10%>3.5.5<td width=82%>Areafunktionen.<td valign=top align=right width=8%>151
<tr><td valign=top width=10%>3.5.6<td width=82%>Aufgaben zu Abschnitt 3.5.<td valign=top align=right width=8%>153
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<!--#L1--><tr><td valign=top width=10%>3.6<td width=82%>Funktionen von zwei unabhängigen Variablen.<td valign=top align=right width=8%>153<!--/#L1-->
<tr><td valign=top width=10%>3.6.1<td width=82%>Funktionsgleichungen.<td valign=top align=right width=8%>154
<tr><td valign=top width=10%>3.6.2<td width=82%>Funktionstafeln.<td valign=top align=right width=8%>154
<tr><td valign=top width=10%>3.6.3<td width=82%>Geometrische Darstellungen.<td valign=top align=right width=8%>155
<tr><td valign=top width=10%>3.6.4<td width=82%>Aufgaben zu Abschnitt 3.6.<td valign=top align=right width=8%>159
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<!--#L0--><tr><td valign=top width=10%><font size=4><b>4</font></b><td width=82%><font size=4><b>Lineare Algebra </font></b><td valign=top align=right width=8%><!--/#L0-->
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<!--#L1--><tr><td valign=top width=10%>4.1<td width=82%>Determinanten.<td valign=top align=right width=8%>160<!--/#L1-->
<tr><td valign=top width=10%>4.1.1<td width=82%>Grundbegriffe. Entwicklungssatz.<td valign=top align=right width=8%>160
<tr><td valign=top width=10%>4.1.2<td width=82%>Aufgaben zu Abschnitt 4.1.<td valign=top align=right width=8%>164
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<!--#L1--><tr><td valign=top width=10%>4.2<td width=82%>Vektoren.<td valign=top align=right width=8%>165<!--/#L1-->
<tr><td valign=top width=10%>4.2.1<td width=82%>Grundbegriffe und Definitionen.<td valign=top align=right width=8%>165
<tr><td valign=top width=10%>4.2.2<td width=82%>Komponenten. Koordinaten. Richtungswinkel.<td valign=top align=right width=8%>167
<tr><td valign=top width=10%>4.2.3<td width=82%>Rechenregeln.<td valign=top align=right width=8%>170
<tr><td valign=top width=10%>4.2.4<td width=82%>Lineare Abhängigkeit.<td valign=top align=right width=8%>178
<tr><td valign=top width=10%>4.2.5<td width=82%>Aufgaben zu Abschnitt 4.2.<td valign=top align=right width=8%>179
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<!--#L1--><tr><td valign=top width=10%>4.3<td width=82%>Matrizen.<td valign=top align=right width=8%>181<!--/#L1-->
<tr><td valign=top width=10%>4.3.1<td width=82%>Grundbegriffe. Definitionen.<td valign=top align=right width=8%>181
<tr><td valign=top width=10%>4.3.2<td width=82%>Rechenregeln.<td valign=top align=right width=8%>186
<tr><td valign=top width=10%>4.3.3<td width=82%>Anwendung in der Strukturmechanik.<td valign=top align=right width=8%>191
<tr><td valign=top width=10%>4.3.4<td width=82%>Aufgaben zu Abschnitt 4.3.<td valign=top align=right width=8%>198
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<!--#L1--><tr><td valign=top width=10%>4.4<td width=82%>Lineare Gleichungssysteme.<td valign=top align=right width=8%>199<!--/#L1-->
<tr><td valign=top width=10%>4.4.1<td width=82%>Eliminationsverfahren von Gauß.<td valign=top align=right width=8%>200
<tr><td valign=top width=10%>4.4.2<td width=82%>Verketteter Gauß-Algorithmus.<td valign=top align=right width=8%>202
<tr><td valign=top width=10%>4.4.3<td width=82%>Austauschverfahren.<td valign=top align=right width=8%>207
<tr><td valign=top width=10%>4.4.4<td width=82%>Homogene und abhängige inhomogene Systeme.<td valign=top align=right width=8%>213
<tr><td valign=top width=10%>4.4.5<td width=82%>Iterationsverfahren.<td valign=top align=right width=8%>217
<tr><td valign=top width=10%>4.4.6<td width=82%>Kondition.<td valign=top align=right width=8%>219
<tr><td valign=top width=10%>4.4.7<td width=82%>Aufgaben zu Abschnitt 4.4.<td valign=top align=right width=8%>221
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<!--#L1--><tr><td valign=top width=10%>4.5<td width=82%>Grundlagen der Computergraphik.<td valign=top align=right width=8%>223<!--/#L1-->
<tr><td valign=top width=10%>4.5.1<td width=82%>Punkte und Geraden in der Ebene.<td valign=top align=right width=8%>223
<tr><td valign=top width=10%>4.5.2<td width=82%>Kollineare Abbildung im Raum.<td valign=top align=right width=8%>232
<tr><td valign=top width=10%>4.5.3<td width=82%>Aufgaben zu Abschnitt 4.5.<td valign=top align=right width=8%>242
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<!--#L0--><tr><td valign=top width=10%><font size=4><b>5</font></b><td width=82%><font size=4><b>Differentialrechnung </font></b><td valign=top align=right width=8%><!--/#L0-->
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<!--#L1--><tr><td valign=top width=10%>5.1<td width=82%>Einführung.<td valign=top align=right width=8%>244<!--/#L1-->
<tr><td valign=top width=10%>5.1.1<td width=82%>Grundbegriffe.<td valign=top align=right width=8%>244
<tr><td valign=top width=10%>5.1.2<td width=82%>1. Ableitung. Differentialquotient.<td valign=top align=right width=8%>248
<tr><td valign=top width=10%>5.1.3<td width=82%>Ableitungen höherer Ordnung.<td valign=top align=right width=8%>250
<tr><td valign=top width=10%>5.1.4<td width=82%>Mittelwertsatz der Differentialrechnung.<td valign=top align=right width=8%>252
<tr><td valign=top width=10%>5.1.5<td width=82%>Aufgaben zu Abschnitt 5.1.<td valign=top align=right width=8%>254
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<!--#L1--><tr><td valign=top width=10%>5.2<td width=82%>Rechenregeln der Differentialrechnung.<td valign=top align=right width=8%>255<!--/#L1-->
<tr><td valign=top width=10%>5.2.1<td width=82%>Grundregeln.<td valign=top align=right width=8%>255
<tr><td valign=top width=10%>5.2.2<td width=82%>Ableitung einiger Grundfunktionen.<td valign=top align=right width=8%>256
<tr><td valign=top width=10%>5.2.3<td width=82%>Produkt- und Quotientenregel.<td valign=top align=right width=8%>258
<tr><td valign=top width=10%>5.2.4<td width=82%>Kettenregel.<td valign=top align=right width=8%>260
<tr><td valign=top width=10%>5.2.5<td width=82%>Funktionen in impliziter Form.<td valign=top align=right width=8%>263
<tr><td valign=top width=10%>5.2.6<td width=82%>Differenzieren mit Hilfe der aufgelösten Form.<td valign=top align=right width=8%>266
<tr><td valign=top width=10%>5.2.7<td width=82%>Unbestimmte Ausdrücke.<td valign=top align=right width=8%>270
<tr><td valign=top width=10%>5.2.8<td width=82%>Aufgaben zu Abschnitt 5.2.<td valign=top align=right width=8%>272
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<!--#L1--><tr><td valign=top width=10%>5.3<td width=82%>Anwendungen der Differentialrechnung.<td valign=top align=right width=8%>274<!--/#L1-->
<tr><td valign=top width=10%>5.3.1<td width=82%>Lösen von Bestimmungsgleichungen.<td valign=top align=right width=8%>274
<tr><td valign=top width=10%>5.3.2<td width=82%>Schnittwinkel von Graphen. Tangente. Normale.<td valign=top align=right width=8%>281
<tr><td valign=top width=10%>5.3.3<td width=82%>Kurvendiskussion. Extremwertaufgaben.<td valign=top align=right width=8%>289
<tr><td valign=top width=10%>5.3.4<td width=82%>Interpolation mit kubischen Splinefunktionen.<td valign=top align=right width=8%>307
<tr><td valign=top width=10%>5.3.5<td width=82%>Aufgaben zu Abschnitt 5.3.<td valign=top align=right width=8%>312
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<!--#L1--><tr><td valign=top width=10%>5.4<td width=82%>Tafel der Ableitungen elementarer Funktionen.<td valign=top align=right width=8%>316<!--/#L1-->
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<!--#L0--><tr><td valign=top width=10%><font size=4><b>6</font></b><td width=82%><font size=4><b>Integralrechnung </font></b><td valign=top align=right width=8%><!--/#L0-->
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<!--#L1--><tr><td valign=top width=10%>6.1<td width=82%>Bestimmtes Integral.<td valign=top align=right width=8%>317<!--/#L1-->
<tr><td valign=top width=10%>6.1.1<td width=82%>Flächenberechnung durch Grenzwertbildung.<td valign=top align=right width=8%>317
<tr><td valign=top width=10%>6.1.2<td width=82%>Grundregeln des Integrierens.<td valign=top align=right width=8%>319
<tr><td valign=top width=10%>6.1.3<td width=82%>Integration der Potenzfunktion.<td valign=top align=right width=8%>324
<tr><td valign=top width=10%>6.1.4<td width=82%>Mittelwertsatz der Integralrechnung.<td valign=top align=right width=8%>330
<tr><td valign=top width=10%>6.1.5<td width=82%>Numerische Integration.<td valign=top align=right width=8%>332
<tr><td valign=top width=10%>6.1.6<td width=82%>Aufgaben zu Abschnitt 6.1.<td valign=top align=right width=8%>337
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<!--#L1--><tr><td valign=top width=10%>6.2<td width=82%>Unbestimmtes Integral.<td valign=top align=right width=8%>338<!--/#L1-->
<tr><td valign=top width=10%>6.2.1<td width=82%>Integralfunktion.<td valign=top align=right width=8%>338
<tr><td valign=top width=10%>6.2.2<td width=82%>Stammfunktion.<td valign=top align=right width=8%>344
<tr><td valign=top width=10%>6.2.3<td width=82%>Uneigentliche Integrale.<td valign=top align=right width=8%>348
<tr><td valign=top width=10%>6.2.4<td width=82%>Aufgaben zu Abschnitt 6.2.<td valign=top align=right width=8%>350
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<!--#L1--><tr><td valign=top width=10%>6.3<td width=82%>Rechenmethoden.<td valign=top align=right width=8%>351<!--/#L1-->
<tr><td valign=top width=10%>6.3.1<td width=82%>Produktintegration.<td valign=top align=right width=8%>351
<tr><td valign=top width=10%>6.3.2<td width=82%>Substitution.<td valign=top align=right width=8%>354
<tr><td valign=top width=10%>6.3.3<td width=82%>Partialbruchzerlegung.<td valign=top align=right width=8%>363
<tr><td valign=top width=10%>6.3.4<td width=82%>Aufgaben zu Abschnitt 6.3.<td valign=top align=right width=8%>367
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<!--#L1--><tr><td valign=top width=10%>6.4<td width=82%>Anwendungen.<td valign=top align=right width=8%>369<!--/#L1-->
<tr><td valign=top width=10%>6.4.1<td width=82%>Volumen. Momente.<td valign=top align=right width=8%>369
<tr><td valign=top width=10%>6.4.2<td width=82%>Bogenlänge. Oberfläche.<td valign=top align=right width=8%>383
<tr><td valign=top width=10%>6.4.3<td width=82%>Biegung.<td valign=top align=right width=8%>384
<tr><td valign=top width=10%>6.4.4<td width=82%>Mittelwerte in der Elektrotechnik.<td valign=top align=right width=8%>389
<tr><td valign=top width=10%>6.4.5<td width=82%>Aufgaben zu Abschnitt 6.4.<td valign=top align=right width=8%>391
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<!--#L1--><tr><td valign=top width=10%>6.5<td width=82%>Integraltafel.<td valign=top align=right width=8%>393<!--/#L1-->
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<!--#L0--><tr><td valign=top width=10%><font size=4><b>7</font></b><td width=82%><font size=4><b>Reihen </font></b><td valign=top align=right width=8%><!--/#L0-->
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<!--#L1--><tr><td valign=top width=10%>7.1<td width=82%>Endliche und unendliche Reihen.<td valign=top align=right width=8%>396<!--/#L1-->
<tr><td valign=top width=10%>7.1.1<td width=82%>Einführung. Begriff.<td valign=top align=right width=8%>396
<tr><td valign=top width=10%>7.1.2<td width=82%>Unendliche geometrische Reihe.<td valign=top align=right width=8%>397
<tr><td valign=top width=10%>7.1.3<td width=82%>Konvergenz von Reihen.<td valign=top align=right width=8%>398
<tr><td valign=top width=10%>7.1.4<td width=82%>Aufgaben zu Abschnitt 7.1.<td valign=top align=right width=8%>400
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<!--#L1--><tr><td valign=top width=10%>7.2<td width=82%>Taylor-Reihen.<td valign=top align=right width=8%>401<!--/#L1-->
<tr><td valign=top width=10%>7.2.1<td width=82%>Satz von Taylor.<td valign=top align=right width=8%>402
<tr><td valign=top width=10%>7.2.2<td width=82%>Winkel- und Hyperbelfunktionen.<td valign=top align=right width=8%>405
<tr><td valign=top width=10%>7.2.3<td width=82%>Exponentialfunktion und Logarithmus.<td valign=top align=right width=8%>411
<tr><td valign=top width=10%>7.2.4<td width=82%>Binomische Reihe.<td valign=top align=right width=8%>414
<tr><td valign=top width=10%>7.2.5<td width=82%>Aufgaben zu Abschnitt 7.2.<td valign=top align=right width=8%>416
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>7.3<td width=82%>Fourier-Reihen.<td valign=top align=right width=8%>417<!--/#L1-->
<tr><td valign=top width=10%>7.3.1<td width=82%>Approximation durch trigonometrische Reihen.<td valign=top align=right width=8%>418
<tr><td valign=top width=10%>7.3.2<td width=82%>Spezialfälle und Beispiele.<td valign=top align=right width=8%>422
<tr><td valign=top width=10%>7.3.3<td width=82%>Numerische Fourier-Analyse.<td valign=top align=right width=8%>427
<tr><td valign=top width=10%>7.3.4<td width=82%>Fourierintegral.<td valign=top align=right width=8%>430
<tr><td valign=top width=10%>7.3.5<td width=82%>Aufgaben zu Abschnitt 7.3.<td valign=top align=right width=8%>434
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
<!--#L0--><tr><td valign=top width=10%><font size=4><b>8</font></b><td width=82%><font size=4><b>Differentialgeometrie </font></b><td valign=top align=right width=8%><!--/#L0-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>8.1<td width=82%>Parameterform.<td valign=top align=right width=8%>436<!--/#L1-->
<tr><td valign=top width=10%>8.1.1<td width=82%>Differenzieren.<td valign=top align=right width=8%>436
<tr><td valign=top width=10%>8.1.2<td width=82%>Integrieren.<td valign=top align=right width=8%>438
<tr><td valign=top width=10%>8.1.3<td width=82%>Anwendung in der Technik.<td valign=top align=right width=8%>441
<tr><td valign=top width=10%>8.1.4<td width=82%>Aufgaben zu Abschnitt 8.1.<td valign=top align=right width=8%>443
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>8.2<td width=82%>Polarkoordinaten.<td valign=top align=right width=8%>444<!--/#L1-->
<tr><td valign=top width=10%>8.2.1<td width=82%>Differenzieren.<td valign=top align=right width=8%>444
<tr><td valign=top width=10%>8.2.2<td width=82%>Integrieren.<td valign=top align=right width=8%>446
<tr><td valign=top width=10%>8.2.3<td width=82%>Polarkoordinaten in Parameterform.<td valign=top align=right width=8%>448
<tr><td valign=top width=10%>8.2.4<td width=82%>Aufgaben zu Abschnitt 8.2.<td valign=top align=right width=8%>451
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>8.3<td width=82%>Krümmung. Evolvente.<td valign=top align=right width=8%>452<!--/#L1-->
<tr><td valign=top width=10%>8.3.1<td width=82%>Krümmung. Krümmungsradius.<td valign=top align=right width=8%>452
<tr><td valign=top width=10%>8.3.2<td width=82%>Evolute. Evolvente.<td valign=top align=right width=8%>456
<tr><td valign=top width=10%>8.3.3<td width=82%>Aufgaben zu Abschnitt 8.3.<td valign=top align=right width=8%>460
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<tr><tr><tr>
<tr><tr><tr>
<!--#L0--><tr><td valign=top width=10%><font size=4><b>9</font></b><td width=82%><font size=4><b>Funktionen mehrerer Variablen </font></b><td valign=top align=right width=8%><!--/#L0-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>9.1<td width=82%>Grundbegriffe.<td valign=top align=right width=8%>461<!--/#L1-->
<tr><td valign=top width=10%>9.1.1<td width=82%><b>R</b><sup><i>n</i></sup>-Raum.<td valign=top align=right width=8%>461
<tr><td valign=top width=10%>9.1.2<td width=82%>Funktion. Grenzwert. Stetigkeit.<td valign=top align=right width=8%>462
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>9.2<td width=82%>Differenzieren.<td valign=top align=right width=8%>464<!--/#L1-->
<tr><td valign=top width=10%>9.2.1<td width=82%>Partielle Ableitungen.<td valign=top align=right width=8%>464
<tr><td valign=top width=10%>9.2.2<td width=82%>Taylor-Formel. Totales Differential. Funktionen in impliziter Form.<td valign=top align=right width=8%>470
<tr><td valign=top width=10%>9.2.3<td width=82%>Differenzieren eines Integrals nach einem Parameter.<td valign=top align=right width=8%>475
<tr><td valign=top width=10%>9.2.4<td width=82%>Aufgaben zu Abschnitt 9.2.<td valign=top align=right width=8%>476
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>9.3<td width=82%>Integrieren.<td valign=top align=right width=8%>477<!--/#L1-->
<tr><td valign=top width=10%>9.3.1<td width=82%>Bestimmtes Integral.<td valign=top align=right width=8%>477
<tr><td valign=top width=10%>9.3.2<td width=82%>Unbestimmtes Integral.<td valign=top align=right width=8%>480
<tr><td valign=top width=10%>9.3.3<td width=82%>Aufgaben zu Abschnitt 9.3.<td valign=top align=right width=8%>483
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>9.4<td width=82%>Fehler- und Ausgleichungsrechnung.<td valign=top align=right width=8%>483<!--/#L1-->
<tr><td valign=top width=10%>9.4.1<td width=82%>Fehler und Mittelwert.<td valign=top align=right width=8%>483
<tr><td valign=top width=10%>9.4.2<td width=82%>Fehlerfortpflanzung.<td valign=top align=right width=8%>485
<tr><td valign=top width=10%>9.4.3<td width=82%>Ausgleichungsrechnung.<td valign=top align=right width=8%>488
<tr><td valign=top width=10%>9.4.4<td width=82%>Aufgaben zu Abschnitt 9.4.<td valign=top align=right width=8%>493
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
<!--#L0--><tr><td valign=top width=10%><font size=4><b>10</font></b><td width=82%><font size=4><b>Vektoranalysis </font></b><td valign=top align=right width=8%><!--/#L0-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>10.1<td width=82%>Vektorfunktionen.<td valign=top align=right width=8%>496<!--/#L1-->
<tr><td valign=top width=10%>10.1.1<td width=82%>Differenzieren und Integrieren in geradlinig-rechtwinkligen Koordinaten.<td valign=top align=right width=8%>496
<tr><td valign=top width=10%>10.1.2<td width=82%>Ableitung in natürlichen Koordinaten.<td valign=top align=right width=8%>502
<tr><td valign=top width=10%>10.1.3<td width=82%>Aufgaben zu Abschnitt 10.1.<td valign=top align=right width=8%>506
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>10.2<td width=82%>Skalare und vektorielle Felder.<td valign=top align=right width=8%>507<!--/#L1-->
<tr><td valign=top width=10%>10.2.1<td width=82%>Skalares Feld. Gradient.<td valign=top align=right width=8%>507
<tr><td valign=top width=10%>10.2.2<td width=82%>Vektorielles Feld. Divergenz. Rotation.<td valign=top align=right width=8%>508
<tr><td valign=top width=10%>10.2.3<td width=82%>Linienintegral.<td valign=top align=right width=8%>512
<tr><td valign=top width=10%>10.2.4<td width=82%>Aufgaben zu Abschnitt 10.2.<td valign=top align=right width=8%>516
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
<!--#L0--><tr><td valign=top width=10%><font size=4><b>11</font></b><td width=82%><font size=4><b>Komplexe Zahlen und Funktionen </font></b><td valign=top align=right width=8%><!--/#L0-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>11.1<td width=82%>Grundbegriffe.<td valign=top align=right width=8%>517<!--/#L1-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>11.2<td width=82%>Komplexe Arithmetik.<td valign=top align=right width=8%>520<!--/#L1-->
<tr><td valign=top width=10%>11.2.1<td width=82%>Rechenoperationen in der Komponentenform.<td valign=top align=right width=8%>520
<tr><td valign=top width=10%>11.2.2<td width=82%>Rechenoperationen in der Exponentialform.<td valign=top align=right width=8%>525
<tr><td valign=top width=10%>11.2.3<td width=82%>Aufgaben zu Abschnitt 11.1 und 11.2.<td valign=top align=right width=8%>532
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>11.3<td width=82%>Komplexe Funktionen einer reellen Veränderlichen.<td valign=top align=right width=8%>533<!--/#L1-->
<tr><td valign=top width=10%>11.3.1<td width=82%>Symbolische Methode in der Wechselstromtechnik.<td valign=top align=right width=8%>534
<tr><td valign=top width=10%>11.3.2<td width=82%>Einfache Spezialfälle. Gerade.<td valign=top align=right width=8%>536
<tr><td valign=top width=10%>11.3.3<td width=82%>Inversion. Kreis.<td valign=top align=right width=8%>539
<tr><td valign=top width=10%>11.3.4<td width=82%>Allgemeine Ortskurven.<td valign=top align=right width=8%>548
<tr><td valign=top width=10%>11.3.5<td width=82%>Aufgaben zu Abschnitt 11.3.<td valign=top align=right width=8%>550
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>11.4<td width=82%>Komplexe Funktionen einer komplexen Veränderlichen.<td valign=top align=right width=8%>551<!--/#L1-->
<tr><td valign=top width=10%>11.4.1<td width=82%>Grundbegriffe.<td valign=top align=right width=8%>551
<tr><td valign=top width=10%>11.4.2<td width=82%>Winkel- und Hyperbelfunktionen mit komplexem Argument.<td valign=top align=right width=8%>552
<tr><td valign=top width=10%>11.4.3<td width=82%>Konforme Abbildung.<td valign=top align=right width=8%>557
<tr><td valign=top width=10%>11.4.4<td width=82%>Aufgaben zu Abschnitt 11.4.<td valign=top align=right width=8%>564
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
<!--#L0--><tr><td valign=top width=10%><font size=4><b>12</font></b><td width=82%><font size=4><b>Gewöhnliche Differentialgleichungen </font></b><td valign=top align=right width=8%><!--/#L0-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>12.1<td width=82%>Analytische Lösungsmethoden.<td valign=top align=right width=8%>565<!--/#L1-->
<tr><td valign=top width=10%>12.1.1<td width=82%>Begriffe. Einteilung.<td valign=top align=right width=8%>565
<tr><td valign=top width=10%>12.1.2<td width=82%>Aufstellen von Differentialgleichungen.<td valign=top align=right width=8%>567
<tr><td valign=top width=10%>12.1.3<td width=82%>Trennung der Veränderlichen.<td valign=top align=right width=8%>570
<tr><td valign=top width=10%>12.1.4<td width=82%>Lineare Differentialgleichungen.<td valign=top align=right width=8%>573
<tr><td valign=top width=10%>12.1.5<td width=82%>Lineare Differentialgleichungen mit konstanten Koeffizienten.<td valign=top align=right width=8%>577
<tr><td valign=top width=10%>12.1.6<td width=82%>Systeme von linearen Differentialgleichungen mit konstanten Koeffizienten.<td valign=top align=right width=8%>583
<tr><td valign=top width=10%>12.1.7<td width=82%>Aufgaben zu Abschnitt 12.1.<td valign=top align=right width=8%>592
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>12.2<td width=82%>Anwendungen in der Technik.<td valign=top align=right width=8%>593<!--/#L1-->
<tr><td valign=top width=10%>12.2.1<td width=82%>Euler-Knickgleichung.<td valign=top align=right width=8%>593
<tr><td valign=top width=10%>12.2.2<td width=82%>Schwingungen.<td valign=top align=right width=8%>596
<tr><td valign=top width=10%>12.2.3<td width=82%>Scheibe unter Zentrifugalkräften.<td valign=top align=right width=8%>609
<tr><td valign=top width=10%>12.2.4<td width=82%>Aufgaben zu Abschnitt 12.2.<td valign=top align=right width=8%>614
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>12.3<td width=82%>Numerische Verfahren.<td valign=top align=right width=8%>616<!--/#L1-->
<tr><td valign=top width=10%>12.3.1<td width=82%>Anfangswertaufgaben.<td valign=top align=right width=8%>616
<tr><td valign=top width=10%>12.3.2<td width=82%>Differenzenverfahren für Rand- und Eigenwertaufgaben.<td valign=top align=right width=8%>620
<tr><td valign=top width=10%>12.3.3<td width=82%>Aufgaben zu Abschnitt 12.3.<td valign=top align=right width=8%>625
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
<!--#L0--><tr><td valign=top width=10%><font size=4><b>13</font></b><td width=82%><font size=4><b>Laplace-Transformation </font></b><td valign=top align=right width=8%><!--/#L0-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>13.1<td width=82%>Grundbegriffe.<td valign=top align=right width=8%>627<!--/#L1-->
<tr><td valign=top width=10%>13.1.1<td width=82%>Aufgaben zu Abschnitt 13.1.<td valign=top align=right width=8%>631
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>13.2<td width=82%>Rechenregeln.<td valign=top align=right width=8%>631<!--/#L1-->
<tr><td valign=top width=10%>13.2.1<td width=82%>Summe von Funktionen. Konstanten.<td valign=top align=right width=8%>631
<tr><td valign=top width=10%>13.2.2<td width=82%>Transformationssätze.<td valign=top align=right width=8%>633
<tr><td valign=top width=10%>13.2.3<td width=82%>Differenzieren und Integrieren im Zeitbereich.<td valign=top align=right width=8%>638
<tr><td valign=top width=10%>13.2.4<td width=82%>Rücktransformation durch Partialbruchzerlegung.<td valign=top align=right width=8%>640
<tr><td valign=top width=10%>13.2.5<td width=82%>Aufgaben zu Abschnitt 13.2.<td valign=top align=right width=8%>642
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>13.3<td width=82%>Impulsfunktionen.<td valign=top align=right width=8%>642<!--/#L1-->
<tr><td valign=top width=10%>13.3.1<td width=82%>Impulse endlicher Dauer.<td valign=top align=right width=8%>643
<tr><td valign=top width=10%>13.3.2<td width=82%>Der Einsimpuls.<td valign=top align=right width=8%>644
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>13.4<td width=82%>Lösen von gewöhnlichen linearen Differentialgleichungen mit konstanten Koeffizienten.<td valign=top align=right width=8%>645<!--/#L1-->
<tr><td valign=top width=10%>13.4.1<td width=82%>Einzelne Differentialgleichungen.<td valign=top align=right width=8%>645
<tr><td valign=top width=10%>13.4.2<td width=82%>Systeme von linearen Differentialgleichungen.<td valign=top align=right width=8%>650
<tr><td valign=top width=10%>13.4.3<td width=82%>Aufgaben zu Abschnitt 13.4.<td valign=top align=right width=8%>654
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>13.5<td width=82%>Korrespondenzentafel.<td valign=top align=right width=8%>655<!--/#L1-->
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
<!--#L0--><tr><td valign=top width=10%><font size=4><b>14</font></b><td width=82%><font size=4><b>Statistik </font></b><td valign=top align=right width=8%><!--/#L0-->
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>14.1<td width=82%>Auswertung einer Stichprobe.<td valign=top align=right width=8%>657<!--/#L1-->
<tr><td valign=top width=10%>14.1.1<td width=82%>Häufigkeitsverteilung. Häufigkeitssumme.<td valign=top align=right width=8%>657
<tr><td valign=top width=10%>14.1.2<td width=82%>Kennwerte der Stichprobe.<td valign=top align=right width=8%>660
<tr><td valign=top width=10%>14.1.3<td width=82%>Aufgaben zu Abschnitt 14.1.<td valign=top align=right width=8%>663
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>14.2<td width=82%>Wahrscheinlichkeitsrechnung.<td valign=top align=right width=8%>664<!--/#L1-->
<tr><td valign=top width=10%>14.2.1<td width=82%>Grundbegriffe und Definitionen.<td valign=top align=right width=8%>664
<tr><td valign=top width=10%>14.2.2<td width=82%>Aufgaben zu Abschnitt 14.2.<td valign=top align=right width=8%>669
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>14.3<td width=82%>Verteilungsfunktionen.<td valign=top align=right width=8%>670<!--/#L1-->
<tr><td valign=top width=10%>14.3.1<td width=82%>Grundbegriffe und Definitionen.<td valign=top align=right width=8%>670
<tr><td valign=top width=10%>14.3.2<td width=82%>Wahrscheinlichkeitsverteilungen einer Variablen.<td valign=top align=right width=8%>676
<tr><td valign=top width=10%>14.3.3<td width=82%>Wahrscheinlichkeitsverteilungen mehrerer Variablen.<td valign=top align=right width=8%>685
<tr><td valign=top width=10%>14.3.4<td width=82%>Aufgaben zu Abschnitt 14.3.<td valign=top align=right width=8%>688
<tr><tr><tr>
<!--#L1--><tr><td valign=top width=10%>14.4<td width=82%>Statistische Prüfverfahren.<td valign=top align=right width=8%>688<!--/#L1-->
<tr><td valign=top width=10%>14.4.1<td width=82%>Schätzen von Parametern der Grundgesamtheit.<td valign=top align=right width=8%>688
<tr><td valign=top width=10%>14.4.2<td width=82%>Prüfen von Hypothesen.<td valign=top align=right width=8%>691
<tr><td valign=top width=10%>14.4.3<td width=82%>Aufgaben zu Abschnitt 14.4.<td valign=top align=right width=8%>695
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
</table>
<table width=100% align=center>
<tr><td width=92%><font size=4><b>Anhang </font></b><td valign=top align=right width=8%>
<tr><tr><tr>
</table>
<table width=100% align=center>
<tr><td valign=top width=10%><td width=82%>Lösungen zu den Aufgaben.<td valign=top align=right width=8%>697
<tr><tr><tr>
<tr><tr><tr>
</table>
<table width=100% align=center>
<tr><td width=92%><font size=4><b>Weiterführende Literatur.</font></b><td valign=top align=right width=8%>745
<tr><tr><tr>
<tr><tr><tr>
<tr><tr><tr>
<tr><td width=92%><font size=4><b>Sachverzeichnis.</font></b><td valign=top align=right width=8%>747
</table>
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<br>
<br>
<p align=justify><font size=2>Hinweise auf DIN-Normen in diesem Werk entsprechen dem Stande der Normung bei Abschluß des Manuskriptes. Maßgebend sind die jeweils neuesten Ausgaben der Normblätter des DIN Deutsches Institut für Normung e. V. im Format A 4, die durch den Beuth-Verlag GmbH, Berlin und Köln, zu beziehen sind.</font></p>
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