About the course Booklist The following files are all in PDF format: ## Lecture NotesPreliminariesChapter 1: Measure Spaces and Measure Chapter 2: Measurable Functions Chapter 3: Lebesgue Integration Chapter 4: Probability and Measure Additional material on Product Measures and Fubini's Theorem for MAS451/6352 ## Additional MaterialReview of Probability theory (without measure theory)Supplementary material on how Riemann integration fits into the Lebesgue theory. Supplementary material on Outer Measures (sometimes set for MAS451/6352, but not in 2018-19) ## Exercise sheetExercise SheetAdditional problems on Product Measures and Fubini's Theorem for MAS451/6352 ## SolutionsSolutions to Week 1 Problems## Past Examslevel 3 2016-17 exam paper.level 3 2017-18 exam paper. level 4/MSc 2016-17 exam paper. level 4/MSc 2017-18 exam paper. ## Past exam solutionsThese will be posted here.Any queries email the lecturer: d.applebaum@sheffield.ac.uk |

Last updated 14th February 2019