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This book showcases the path from problems in the industry to mathematical concepts, which in turn lead back to applicable solutions. In addition to six articles on exemplary challenges in the industry, this collection contains four articles on the impact of modeling, computation, optimization and data analysis on the daily work at the Fraunhofer Institute. A large portion of this volume is dedicated to presenting applied mathematics as well as its more theoretical results in a way that appeals to students and professionals alike. Furthermore, each article includes a detailed description of the practical setup as well as the contribution of computer programs. The last chapter shows how mathematical modeling in school can change the image and perception of mathematics.§