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				<div style="text-align:left;margin-bottom:20px;">  		</div><span itemprop="name" class="title">Funktionentheorie 1<br></span><span class="subtitle">Mit Lösungshinweisen zu 420 Übungsaufgaben<br></span><p>Autoren:<br><span itemprop="author" class="author"><b>Eberhard Freitag, Rolf Busam</b></span></p><p>Verlag:<br><b itemprop="publisher">Springer-Verlag </b>&nbsp;&nbsp;<a onclick="SearchPublEnt(680)" href="#">Weitere Titel dieses Verlages anzeigen</a></p>		
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<span class="notbold">Auflage: </span>4., korr. und erw. A<br><span class="notbold">Erschienen: </span>April 2006<br><span class="notbold">Seiten: </span>550<br><span class="notbold">Sprache: </span>Deutsch<br><span class="notbold">Preis: </span>39.99 €<br><span class="notbold">Illustration: </span>125 Abb.
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						<div class="right-td"><span class="notbold">Ma&szlig;e: </span>238x154x38<br><span class="notbold">Einband: </span>Taschenbuch<br><span class="notbold">Reihe: </span>Springer-Lehrbuch<br><span class="notbold">ISBN: </span>9783540317647			</div>
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						<h1><a href="_9783540317647_inhalt.html">Inhaltsverzeichnis</a></h1>
						<p><table border="0" style="width: 100%; text-align: left;" class="htmltd"><tbody><tr><td colspan="7" style="padding-bottom: 10px; font-weight: bold; text-align: left;" class="htmltd">Inhalt</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Einleitung</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">XIII/XX</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Kapitel
I.
Differentialrechnung
im
Komplexen</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">1</td></tr><tr><td style="vertical-align: top;" class="htmltd">1.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Komplexe
Zahlen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">1</td></tr><tr><td style="vertical-align: top;" class="htmltd">2.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Konvergente
Folgen
und
Reihen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">16</td></tr><tr><td style="vertical-align: top;" class="htmltd">3.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Stetigkeit</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">28</td></tr><tr><td style="vertical-align: top;" class="htmltd">4.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Komplexe
Ableitung</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">34</td></tr><tr><td style="vertical-align: top;" class="htmltd">5.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die Cauchy-Riemann'schen
Differentialgleichungen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">40</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Kapitel
II.
Integralrechnung
im
Komplexen</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">61</td></tr><tr><td style="vertical-align: top;" class="htmltd">1.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Komplexe
Kurvenintegrale</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">62</td></tr><tr><td style="vertical-align: top;" class="htmltd">2.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Der
Cauchy'sche
Integralsatz</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">70</td></tr><tr><td style="vertical-align: top;" class="htmltd">3.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Cauchy'sche
Integralformel</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">86</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Kapitel
III.
Folgen
und
Reihen
analytischer
Funktionen,
Residuensatz</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">97</td></tr><tr><td style="vertical-align: top;" class="htmltd">1.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Gleichmäßige
Approximation</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">99</td></tr><tr><td style="vertical-align: top;" class="htmltd">2.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Potenzreihen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">104</td></tr><tr><td style="vertical-align: top;" class="htmltd">3.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Abbildungseigenschaften
analytischer
Funktionen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">119</td></tr><tr><td style="vertical-align: top;" class="htmltd">4.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Singularitäten
analytischer
Funktionen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">130</td></tr><tr><td style="vertical-align: top;" class="htmltd">5.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Laurentzerlegung</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">140</td></tr><tr><td style="vertical-align: top;" class="htmltd"> </td><td colspan="5" style="vertical-align: top;" class="htmltd">Anhang
zu
§4
und
§5.
Der
Begriff
der
meromorphen
Funktion</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">153</td></tr><tr><td style="vertical-align: top;" class="htmltd">6.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Der
Residuensatz</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">161</td></tr><tr><td style="vertical-align: top;" class="htmltd">7.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Anwendungen
des
Residuensatzes</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">170</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Kapitel
IV.
Konstruktion
analytischer
Funktionen</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">193</td></tr><tr><td style="vertical-align: top;" class="htmltd">1.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Gammafunktion</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">194</td></tr><tr><td style="vertical-align: top;" class="htmltd">2.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Der
Weierstraß'sche
Produktsatz</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">213</td></tr><tr><td style="vertical-align: top;" class="htmltd">3.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Der
Partialbruchsatz
von
Mittag-Leffler</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">222</td></tr><tr><td style="vertical-align: top;" class="htmltd">4.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Der
kleine
Riemann'sche
Abbildungssatz</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">227</td></tr><tr><td style="vertical-align: top;" class="htmltd"> </td><td colspan="5" style="vertical-align: top;" class="htmltd">Anhang
A.
Die
Homotopieversion
des
Cauchy'schen
Integralsatzes</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">237</td></tr><tr><td style="vertical-align: top;" class="htmltd"> </td><td colspan="5" style="vertical-align: top;" class="htmltd">Anhang
B.
Eine
Homologieversion
des
Cauchy'schen
Integralsatzes</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">243</td></tr><tr><td style="vertical-align: top;" class="htmltd"> </td><td colspan="5" style="vertical-align: top;" class="htmltd">Anhang
C.
Charakterisierungen
von
Elementargebieten</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">248</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Kapitel
V.
Elliptische
Funktionen</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">255</td></tr><tr><td style="vertical-align: top;" class="htmltd">1.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Liouville'schen
Sätze</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">256</td></tr><tr><td style="vertical-align: top;" class="htmltd">2.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Weierstraß'sche
pFunktion</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">266</td></tr><tr><td style="vertical-align: top;" class="htmltd">3.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Der
Körper
der
elliptischen
Funktionen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">273</td></tr><tr><td style="vertical-align: top;" class="htmltd"> </td><td colspan="5" style="vertical-align: top;" class="htmltd">Anhang
zu
§3.
Der
Torus
als
algebraische
Kurve</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">277</td></tr><tr><td style="vertical-align: top;" class="htmltd">4.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Das
Additionstheorem</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">285</td></tr><tr><td style="vertical-align: top;" class="htmltd">5.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Elliptische
Integrale</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">291</td></tr><tr><td style="vertical-align: top;" class="htmltd">6.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Das
Abel'sche
Theorem</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">298</td></tr><tr><td style="vertical-align: top;" class="htmltd">7.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
elliptische
Modulgruppe</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">309</td></tr><tr><td style="vertical-align: top;" class="htmltd">8.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Modulfunktion
j</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">317</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Kapitel
VI.
Elliptische
Modulformen</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">325</td></tr><tr><td style="vertical-align: top;" class="htmltd">1.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Modulgruppe
und
ihr
Fundamentalbereich</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">326</td></tr><tr><td style="vertical-align: top;" class="htmltd">2.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
k/12-Formel
und
die
Injektivität
der
j-Funktion</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">334</td></tr><tr><td style="vertical-align: top;" class="htmltd">3.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Algebra
der
Modulformen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">343</td></tr><tr><td style="vertical-align: top;" class="htmltd">4.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Modulformen
und
Thetareihen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">347</td></tr><tr><td style="vertical-align: top;" class="htmltd">5.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Modulformen
zu
Kongruenzgruppen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">361</td></tr><tr><td style="vertical-align: top;" class="htmltd"> </td><td colspan="5" style="vertical-align: top;" class="htmltd">Anhang
zu
§5.
Die
Thetagruppe</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">373</td></tr><tr><td style="vertical-align: top;" class="htmltd">6.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Ein
Ring
von
Thetafunktionen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">380</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Kapitel
VII.
Analytische
Zahlentheorie</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">391</td></tr><tr><td style="vertical-align: top;" class="htmltd">1.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Summen
von
vier
und
acht
Quadraten</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">392</td></tr><tr><td style="vertical-align: top;" class="htmltd">2.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Dirichletreihen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">410</td></tr><tr><td style="vertical-align: top;" class="htmltd">3.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Dirichletreihen
mit
Funktionalgleichungen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">418</td></tr><tr><td style="vertical-align: top;" class="htmltd">4.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
Riemann'sche
s-Funktion
und
Primzahlen</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">432</td></tr><tr><td style="vertical-align: top;" class="htmltd">5.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Die
analytische
Fortsetzung
der
s-Funktion</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">440</td></tr><tr><td style="vertical-align: top;" class="htmltd">6.</td><td colspan="5" style="vertical-align: top;" class="htmltd">Ein
Taubersatz</td><td style="vertical-align: top; text-align: right; font-weight: normal;" class="htmltd">448</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Lösungen
der
Übungsaufgaben</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">463</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Literatur</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">525</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Symbolverzeichnis</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">535</td></tr><tr><td colspan="7" style="line-height: 4px; font-size: 4px;" class="htmltd"> </td></tr><tr><td colspan="6" style="vertical-align: top; font-weight: bold;" class="htmltd">Index</td><td style="vertical-align: top; text-align: right; font-weight: bold;" class="htmltd">537</td></tr></tbody></table><br /><br /><br /></p>
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