Most of the printed handouts for this module are available on the web in two formats: ps (postscript) or pdf (portable document format). Which format is easiest to view will probably depend on the computer that you are using.
The module begins by introducing the concept of measure, a means for comparing the size of sets and generalizing intuitive notions such as length and area, and moves on to describe the elements of the Lebesgue theory of integration, which has wide generality, being applicable to a large class of functions, with `clean' properties which make it satisfying to work with. This will normally lead as far as the main convergence theorems. Lebesgue integration is a fundamental tool for advanced study in areas of mathematics such as functional analysis and potential theory, and provides the foundation for the axiomatic treatment of probability theory.
Handouts will be issued in printed form, and will also be available (as they are issued) from the module web page.
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