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Lehrveranstaltungen von Roland Zweimüller

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VO   Measure theory and integration (Maß- und Integrationstheorie) (250072)

      winter term 2015,  together with Dalia Terhesiu)

Mon 10:45-12:15 in SR 9  and  Fri 12:45-14:15 in SR 12

       My colleague Dr Terhesiu will be in charge for the first part of the semester. 
       The lecture notes (in german) are available here.

• The theory of measures and integration belongs to the foundations of
  modern analysis, and provides the formal framework for higher probability
  theory. This course introduces its central concepts and results (discussing in
  particular: existence, uniqueness, basic properties, and examples of measures;
  the Lebesgue integral, convergence theorems, and spaces of integrable functions;
  product measures; measures with densities; applications to real analysis), and
  offers brief appetizers for some more advanced topics.
  
  
• Most of the material covered in this course can be found in standard
  textbooks. The reference closest to my lectures is 
  
  • J.Elstrodt, Maß- und Integrationstheorie. Springer
  Other standard texts include
  
  • P.Billingsley, Probability and Measure. 3ed Wiley 1995
    
  • P.Halmos, Measure Theory, Springer 1950
    
  • D.L.Cohn, Measure Theory. 2ed Birkhäuser 2013
  • R.M.Dudley, Real Analysis and Probability. 2ed Cambridge UP 2003
    
  
  
• Exam: oral exam 
  

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