This book offers an insider's view of how industrial problems are translated into mathematics and how solving the mathematics leads to convincing industrial solutions as well. In 6 technical chapters, a wide range of industrial problems is modeled, simulated, and optimized; 4 others describe the modeling, computing, optimization, and data analysis concepts shaping the work of the Fraunhofer ITWM. Each technical chapter illustrates how the relevant mathematics has been adapted or extended for the specific application and details the underlying practical problem and resulting software. The final chapter shows how the use of mathematical modeling in the classroom can change the image of this subject, making it exciting and fun.

Zeigt, wie industrielle Problemstellungen mathematisch modelliert und berechnet werden koennen Gibt einen Einblick in die Arbeit des Fraunhofer-Instituts (ITWM) Zeigt wie mathematische Modellierung eingesetzt werden kann

I believe that there exist two different worlds of Mathematics: the world of Mathematics in Industry and the world of Mathematics at Universities. Based on a similar activity of the human mind, which we generally call doing mathematics, they have different aims, different hierarchies of values and, therefore, different structures. And there are only few contacts between them: Mathematics at Universities in general follows its interior rules not caring for the needs expressed by the exterior world; Mathematics in Industry very often does not find enough time to watch the developments in the second world and is exclusively driven by industrial problems. The coupling of the two worlds, however, is necessary for both of them: industry needs ideas from academic mathematics as a source of innovation, to improve simulations, optimisations, quality control, etc. University mathematics needs industry as a source of exiting problems, of jobs for their graduates, of prestige and last but not least of additional funding. There are some attempts to make closer contact with each other: large high tech companies have their antennas checking new ideas for applicability - and there are attempts at universities called Mathematics for Industry trying to find mathematical solutions for industrial problems. However, these attempts are quite limited: small- and medium-sized companies, for example, have no chance to keep contact - and what academics call a solution for a problem is often far from what industry is looking for."

Das Buch bietet erstmalig Einsichten in historische und aktuelle Berufsverlaufe von Frauen und Mannern in der Mathematik. Ziel des Buches ist zu zeigen, dass es sich lohnt, Mathematik zu studieren. Das Buch fasst die Ergebnisse einer von der Volkswagenstiftung geforderten interdisziplinaren Studie zusammen, an der Wissenschaftler der Mathematik, der Psychologie und der Mathematikgeschichte beteiligt waren.

Das Buch ist wichtig fur Abiturienten, Berufsberatungsstellen, Bildungspolitik, Mathematikhistoriker und Berufspsychologen."

Mathematik in Physik und Technik ist ein Lehrbuch fA1/4r Studenten der Physik und der Ingenieurwissenschaften, die an sich schon mit den Grundlagen der Mathematik vertraut sind, allerdings noch Schwierigkeiten haben, dieses mathematische Wissen auf konkrete Fragestellungen der Physik zu A1/4bertragen. Die vorliegende Aufgabensammlung frischt daher nicht nur latent Vorhandenes auf, sondern versucht, mathematische Methoden in Anlehnung an die Physik anschaulich darzustellen und einzuA1/4ben. Welche Rolle spielen Dimensionen, was darf vernachlAssigt werden, wie kommt man zu sinnvollen mathematischen Modellen physikalischer VorgAnge? Eine wahre Fundgrube fA1/4r jeden, der nicht nur Wissen sammeln, sondern auch tatsAchlich lernen will, es umzusetzen.

This volume presents the proceedings of the thira German-Italian Symposium on the Applications of Mathematics in Industry and Technology sponsored mainly by the research foundations of Germany and Italy, DFG and CNR. We had not published the proceedings of the second symposium held in Germany, but are now convinced that a publication would be appreciated by many scientists. The aim we had in mind organizing this symposium and communicating its scientific content was essentially the same as in the previous symposia - we were led by the same scientific and cultural (maybe even political) ideas. The scientific idea is simple: Mathematics becomes a more and more important tool in technology, business and organisatio- but mathematics does not play a corresponding role. The reason is that neither the public opinion nor the mathematicians them- selves are really aware of this fact. To show the richness and efficiency of this "industrial raw material" mathematics - at least in some domains - was one subject of the conference. In planning the structure a decision had to be made: If one wishes to present a huge variety of applications of mathematics in very different fields, the participants may loose the track, cannot find any connection with their own field of research in too many lectures; the symposium des integrates like a puzzle into many pieces, which are not easy to be put together again.