# MATHEON–Mathematics for Key Technologies

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*Peter Deuflhard; Martin Grötschel; Dietmar Hömberg; Ulrich Horst; Jürg Kramer; Volker Mehrmann; Konrad Polthier; Frank Schmidt; Christof Schütte; Martin Skutella; Jürgen Sprekels*

A publication of the European Mathematical Society

Mathematics: intellectual endeavor, production factor, key technology,
key to key technologies?

Mathematics is all of these; the last three of its facets are not well
known, though. They have been the focus of the research and development
in the Berlin-based DFG Research Center MATHEON in the last twelve
years. Through these activities, MATHEON has become an international
trademark. Its mission and its strategies for carrying out creative,
application-driven research in mathematics and cooperating in the
solution of complex problems in key technologies are by now a role
model for the development of many other centers.

Modern key technologies have become highly sophisticated, integrating
aspects of engineering, computer, business and other sciences. At the
same time, the innovation cycles get shorter and shorter. These
simultaneous challenges can be mastered only by qualitatively and
quantitatively rigorous methods. And that is where mathematics is
indispensable.

Flexible mathematical models, as well as fast and accurate methods for
numerical simulation and optimization, open new possibilities to handle
the indicated complexities, to react quickly, and to explore new
options. Researchers in mathematical fields such as optimization,
discrete mathematics, numerical analysis, scientific computing, applied
analysis and stochastic analysis have to work hand in hand with
scientists and engineers to fully exploit this potential and to
strengthen the transversal role of mathematics in solving the
challenging problems in key technologies.

This book presents in seven chapters the research highlights of the
research work carried out in the MATHEON application areas: Life
Sciences, Networks, Production, Electronic and Photonic Devices,
Finance, Visualization, and Education. The chapters summarize many of
the contributions, put them in the context of current mathematical
research activities, and outline their impact in various key
technologies. To make some of the results more easily accessible to the
general public, a large number of “showcases” are presented that
illustrate a few success stories.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.

#### Readership

Graduate students and research mathematicians interested in MATHEON applications.