Professor Johannes Ruf & Dr Christoph Czichowsky

Real Analysis is an area of mathematics that was developed to formalise the study of numbers and functions and to investigate important concepts such as limits and continuity.

These concepts underpin calculus and its applications. Real Analysis has become an indispensable tool in a number of application areas. In particular, many of its key concepts, such as convergence, compactness and convexity, have become central to economic theory.

This course covers the main aspects of real analysis: convergence of sequences and series and key concepts, including completeness, compactness and continuity, from the particular settings of real numbers and Euclidean spaces to the much more general context of metric spaces.

The course is particularly suitable for students who want to bolster their mathematical background as preparation for postgraduate study in economics and related areas and for professionals who want to follow recent developments in economic theory.