240023 Funktionentheorie (V) (WiSe 2014/2015)

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Die Vorlesung "Funktionentheorie" behandelt komplex differenzierbare Funktionen. Zentral ist der Cauchysche Integralsatz. Aus ihm folgt, dass komplex differenzierbare Funktionen bereits analytisch sind. Wesentliche Sätze wurden im Laufe des 19. Jahrhunderts bewiesen. Sie haben die Entwicklung der Mathematik, von der Analysis über die Geometrie bis hin zur Zahlentheorie maßgeblich beeinflusst.

Inhalt:
Komplex differenzierbare Funktionen
Cauchyscher Integralsatz
Singularitäten holomorpher Funktio

Requirements for participation, required level

Analysis 1 & 2, Lineare Algebra 1 & 2

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Module Course Requirements  
24-A1 Advanced Module Mathematics 1 Aufbaumodul Mathematik 1 Vorlesung gemäß Modulbeschreibung Student information
- Graded examination Student information
24-A2 Advanced Module Mathematics 2 Aufbaumodul Mathematik 2 Vorlesung gemäß Modulbeschreibung Student information
- Graded examination Student information
24-E Supplementary Module Mathematics Ergänzungsmodul Mathematik Vorlesung gemäß Modulbeschreibung Student information
24-E2 Supplementary Module Mathematics 2 Ergänzungsmodul Mathematik 2 Vorlesung Student information
24-M-GM Foundations in Mathematics Grundlagen Mathematik Spezialisierungskurs Mathematik Graded examination
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24-SE Structured Electives Strukturierte Ergänzung Vorlesung 1 Student information
Vorlesung 2 Student information

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Degree programme/academic programme Validity Variant Subdivision Status Semester LP  
Mathematik / Diplom (Enrollment until SoSe 2008) Wahlpflicht 3. 4. 5. scheinfähig GS und HS
Mathematik (Gym/Ge als zweites U-Fach) / Master of Education (Enrollment until SoSe 2014) M.M.05; M.M.07 Wahlpflicht 3. 4. 7 benotet  
Mathematik (Gym/Ge fortgesetzt) / Master of Education (Enrollment until SoSe 2014) M.M.07 Wahlpflicht 1. 2. 3. 7 benotet  
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WS2014_240023@ekvv.uni-bielefeld.de
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Last update basic details/teaching staff:
Friday, December 11, 2015 
Last update times:
Thursday, October 16, 2014 
Last update rooms:
Thursday, October 16, 2014 
Type(s) / SWS (hours per week per semester)
lecture (V) / 4
Department
Faculty of Mathematics
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48687103