Mathematics is the foundation of all the technology without which our modern lives would be
unthinkable: safe internet communication; mobile phone applications; MP3-players; GPS systems; medical imaging and computer tomography; modern banking, finance and insurance industry; efficient production planning; optimal constructions in the automotive and airplane industries, and many more.
In spite of its long history, mathematics is a highly modern science with a huge impact on our everyday lives. Mathematicians develop models of real world situations and develop mathematical methods to solve real world problems which is only possible through a thorough understanding of the underlying structures. In this respect, theoretical and applied mathematics mutually interact and enrich each other.