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MATHEON – Mathematics for Key Technologies
EMS Series in Industrial and Applied Mathematics Vol. 1

MATHEON – Mathematics for Key Technologies

Peter Deuflhard (Konrad-Zuse-Zentrum, Berlin, Germany)
Martin Grötschel (Konrad-Zuse-Zentrum; Berlin, Germany)
Dietmar Hömberg (Technische Universität Berlin, Germany)
Ulrich Horst (Humboldt-Universität zu Berlin, Germany)
Jürg Kramer (Humboldt-Universität zu Berlin, Germany)
Volker Mehrmann
Konrad Polthier (Freie Universität Berlin, Germany)
Frank Schmidt (Konrad-Zuse-Zentrum, Berlin, Germany)
Christof Schütte (Freie Universität Berlin, Germany)
Martin Skutella
Jürgen Sprekels (Weierstraß Institut für Angewandte Analysis und Stochastik, Berlin, Germany)

ISBN print 978-3-03719-137-8, ISBN online 978-3-03719-637-3
DOI 10.4171/137
April 2014, 466 pages, hardcover, 17 x 24 cm.
48.00 Euro

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

Mathematics is all of these! The last three of its facets 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 for carrying out creative, application-driven research in mathematics and for cooperating with industrial partners in the solution of complex problems in key technologies.

Modern key technologies have become highly sophisticated, integrating aspects of engineering, computer, business and other sciences. 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 the solution of the challenging problems in key technologies.

This book presents in seven chapters the 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.

Keywords: Mathematics for life sciences, mathematics for networks, mathematics for production, mathematics for electronic and optical devices, mathematics for finance, mathematics for visualization, mathematical education