These lecture notes by very authoritative scientists survey recent advances of mathematics driven by industrial application showing not only how mathematics is applied to industry but also how mathematics has drawn benefit from interaction with real-word problems.
The famous David Report underlines that innovative high technology depends crucially for its development on innovation in mathematics. The speakers include three recent presidents of ECMI, one of ECCOMAS (in Europe) and the president of SIAM.

1 Industrial Mathematics in Linz The Johannes-Kepler-University is situated in Linz, which is the industrial center of Austria. This location provides unique opportunities for cooperation between in dustry and a university which derives its name from one of the most eminent ap plied mathematicians of all times. The mathematics department was founded in the late Sixties, the first students graduated in 1974. In these boom times, they had no problems of finding jobs in industry. However, their employers were then more interested in their general training than in their specific mathematical...