Mathematics is a major intellectual subject which is as old as human history. It has its roots in the systematic development of methods to solve practical problems and the realisation that such methods, when stripped of the details of the particular situation, could be applied to a wide range of seemingly different problems. Thus, abstraction became an important feature of mathematics, distinguishing it from all other sciences, and leading to the development of subjects such as Algebra, Calculus, Combinatorics, Geometry and others, all of which are taught in Aberdeen. The abstract study of mathematics is in itself an intellectual pursuit of value, opening up a world which contains excitement and beauty. Equally exciting is the evolution of mathematics side by side with human society; Nowadays mathematics underpins how the internet works and is fundamental to all modern technology including Engineering and Medicine.