For more than two millenia, the study of mathematics has developed through a marriage of abstraction and application. Some mathematical theories and techniques are developed directly intended for problem solving in other areas of study, such as:
- computer science
Others, however, are derived from mathematicians' interest in abstraction and the inner structure of the field and its aesthetic values.
The expression ”the unreasonable usefulness of mathematics” exists because it has been shown, time and again, that the sometimes very abstract thought constructions mathematicians create in this manner without utility in mind, later prove to be especially useful in other subjects. One example is numbers theory which forms the basis for cryptology.
The programme is primarily for students with majors in other scientific subjects within the natural sciences.