240021 Maß- und Integrationstheorie (V) (WiSe 2016/2017)
Contents, comment
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Was ist der Rauminhalt einer Vollkugel? was ist die Oberfläche eines Rettungsringes? und vor allem, was soll die Antwort "5" auf so eine Frage eigentlich bedeuten?
In der Maß- und Integrationstheorie geht es darum, den Begriff des Volumen zu erhellen. Unter welchen Umständen läßt sich eine Volumenmaß einführen, und welche Wege stehen dazu zur Verfügung?
Im Vordergrund steht dabei der endlich-dimensionale euklidische Raum. Hier steht uns das Lebesque-Maß zur Verfügung. Ebenso möchte ich die Integration von Differentialformen behandeln. Damit werden dann auch Inhalte krummer Flächen zugänglich.
Bibliography
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Measure and integration : a concise introduction to real analysis / Leonard F. Richardson (https://katalogplus.ub.uni-bielefeld.de/title/2233305)
Introduction to Measure Theory and Integration / by Luigi Ambrosio, Giuseppe Prato, Andrea Mennucci (https://katalogplus.ub.uni-bielefeld.de/title/2242485)
Maß- und Integrationstheorie / von Jürgen Elstrodt (https://katalogplus.ub.uni-bielefeld.de/title/2204301)
Maß- und Wahrscheinlichkeitstheorie : Eine Einführung / von Norbert Kusolitsch (https://katalogplus.ub.uni-bielefeld.de/title/2355145)
Measure Theory : Second Edition / by Donald L. Cohn (https://katalogplus.ub.uni-bielefeld.de/title/2322279)
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| Frequency | Weekday | Time | Format / Place | Period |
|---|
Subject assignments
| 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-B-MI_ver1 Measure and Integration Theory Maß- und Integrationstheorie | Maß- und Integrationstheorie | Graded examination
|
Student information |
| 24-E Supplementary Module Mathematics Ergänzungsmodul Mathematik | Vorlesung gemäß Modulbeschreibung | Student information | |
| 24-SE Structured Electives Strukturierte Ergänzung | Vorlesung 1 | Student information | |
| Vorlesung 2 | Student information |
The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.
| Degree programme/academic programme | Validity | Variant | Subdivision | Status | Semester | LP | |
|---|---|---|---|---|---|---|---|
| Mathematik (Gym/Ge als zweites U-Fach) / Master of Education | (Enrollment until SoSe 2014) | M.M.05; M.M.07 | Wahlpflicht | 3. | 7 | benotet | |
| Mathematik (Gym/Ge fortgesetzt) / Master of Education | (Enrollment until SoSe 2014) | M.M.07 | Wahlpflicht | 1. | 7 | benotet | |
| Studieren ab 50 |
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