Martin Grötschel Books

Mathematics has evolved over thousands of years from basic bookkeeping to the language of science, with its decision-support potential fully recognized in the twentieth century, thanks to advancements in computing and communication technology. Mathematical optimization has become a vital tool for planners, enabling them to reduce costs, maximize profits, and allocate scarce resources effectively. This discipline excels when precise models and high-quality data are available, leading to reliable automated control and decision-making processes. However, challenges arise when models are imprecise or data is incomplete. This book explores such scenarios, presenting problems like: how an elevator should prioritize passenger requests without prior knowledge; the adaptability of aircraft wing shapes during flight to optimize fuel consumption; the efficiency of robots navigating unknown environments; and the unpredictability of energy demand affecting power plant responsiveness. By addressing these complex issues, the text highlights the versatility and applicability of mathematical optimization in real-world situations.

This hard cover book, edited by Martin Groetschel, has 41 chapters and more than 460 pages. It covers a wide range of topics of the history of optimization in an entertaining way.

Mathematics as a production factor or driving force for innovation? Those, who want to know and understand why mathematics is deeply involved in the design of products, the layout of production processes and supply chains will find this book an indispensable and rich source. Describing the interplay between mathematical and engineering sciences the book focusses on questions like How can mathematics improve to the improvement of technological processes and products? What is happening already? Where are the deficits? What can we expect for the future? 19 articles written by mixed teams of authors of engineering, industry and mathematics offer a fascinating insight of the interaction between mathematics and engineering.

Mathematik trägt immer stärker zur Produktentwicklung und Produktionssicherheit, zur Wertschöpfung und Ressourcenschonung bei. Das Buch erörtert in verschiedenen ingenieurwissenschaftlichen Themenfeldern das Verhältnis von Mathematik und Technikwissenschaften, den Beitrag der Mathematik zur industriellen Wertschöpfung und die Schlüsselrolle der Mathematik bei der Beherrschung komplexer Systeme. Gleichzeitig schlagen die Autoren Maßnahmen zur Verbesserung der Interaktion zwischen Mathematik und Technikwissenschaften, Forschung und Industrie vor.