VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

401-2284-00L 6 Credits
You're viewing possible stale or outdated data. Please check the latest semester for more up-to-date information.

Measure and Integration

Mass und Integral

Lecturers & Examiners: Prof. Dr. Urs Lang
VVZ CR n/a

Last Updated: 2026-02-05 15:02:35

Abstract

Introduction to abstract measure and integration theory. Contents: Measures, Lebesgue integral, convergence theorems, outer measures, construction of measures, Lebesgue measure, Hausdorff measures, Radon measures, Riesz representation theorem, Lp spaces, absolute continuity, theorem of Radon-Nikodym, differentiation of measures, product measures, theorem of Fubini.

Content

Measures, Lebesgue integral, convergence theorems, outer measures, construction of measures, Lebesgue measure, Hausdorff measures, Radon measures, Riesz representation theorem, Lp spaces, absolute continuity, theorem of Radon-Nikodym, differentiation of measures, product measures, theorem of Fubini.

Resources

Literature

W. Rudin, Real and Complex Analysis, Third Edition. McGraw-Hill Book Co., New York, 1987.

General Information

Language
German
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 15 minutes

Course Components

Type Title Time & Place Hours
lecture Mass und Integral
  • Wed 08:15-10:00 (HG G 5)
  • Fri 11:15-12:00 (HG F 5)
3 h weekly
exercise Mass und Integral
  • Thu 08:15-10:00 (HG F 26.1)
  • Thu 08:15-10:00 (HG F 5)
  • Thu 08:15-10:00 (HG G 26.3)
  • Thu 08:15-10:00 (ML H 34.3)
2 h weekly

Offered In