Non-additive measure theory extends the traditional framework of measure and integration by allowing for measures that do not necessarily satisfy the additivity property. This broader perspective has ...

The aim of the unit is to introduce measure theory and the Lebesgue integral. General Description of the Unit The course introduces the Lebesgue integral and develops the elements of measure theory.

The course introduces the Lebesgue integral and develops the elements of measure theory. We will, (i) generalise the notions of "length", "area" and "volume", (ii) find out which functions can be ...