Valid from: Autumn 2018
Decided by: Professor Thomas Johansson
Date of establishment: 2018-08-24
Course type: Course given jointly for second and third cycle
The course is also given at second-cycle level with course code: MATP29
Teaching language: English
The aim of the course is to the postgraduate student knowledge about mathematical measure theory. This is important for research within mathematical analysis, probability theory and mathematical physics.
Knowledge and Understanding
For a passing grade the doctoral student must
Competences and Skills
For a passing grade the doctoral student must be able to formulate and prove the main theorems of the course.
The course covers fundamental theorems, such as the Radon-Nikodym theorem, and Lebesgue's decomposition, and basic theory of Lebesgue-Stieltjes integration.
Cohn, Donald L.: Measure Theory: Second Edition. Birkhäuser, 2013. ISBN 9781461469551.
Types of instruction: Lectures, seminars
Examination formats: Written exam, oral exam, written assignments
Grading scale: Failed, pass
Assumed prior knowledge: For admission to the course, at least 67.5 credits in mathematics are required, in which should be included the course MATM19 Integration theory, 7.5 credits, or equivalent and English B or equivalent.
Web page: https://liveatlund.lu.se/departments/Mathnfak/MATP29/Pages/default.aspx