Mathematics is almost impossible to define; it is at once abstract and concrete.

We meet mathematics everywhere in our daily life: telephoning, driving, at the library, the bank or the doctor's. In general, we aren't even conscious of it, because mathematics makes its contribution behind the scenes, yet its impact on modern society is becoming ever stronger.

Mathematics is a fascinating structure, built of theories, statements, theorems and methods, which are all logically interconnected. The challenge lies in analysing this structure and in discovering new relationships that are important for the development of mathematics itself or for its applications in science and technology.