Mathematical Analysis

Overview

Key facts

The original meaning of the word "mathematical analysis" is closely associated with functions of one or more real variables, but modern analysis involves several other topics, some of a more abstract nature, such as general topology, measure theory and functional analysis. Instead of studying individual functions, functional spaces are an important topic. The vectors in the space are functions defined in a given domain. 

Key ideas from finite dimensional linear algebra play an important role. It is also of interest studying spaces of a more complex nature, where a straight line is not necessarily the shortest path between two points, and where not all movements are allowed. Such spaces occur in modern physics, and the study of these spaces, called geometric analysis, combines mathematical analysis, differential geometry and differential equations. Questions related to convergence, integration, derivation, approximation and the solution of partial differential equations are studied both in function spaces and in various geometric structures.

Mathematical Analysis degree offered by the University of Bergen provides training in abstract thinking, and in analyzing mathematical problems in which the method of solution is not known. During the programme, the students will develop skills needed for independent study of new areas and for communicating mathematics.