Essentials of Tropical Combinatorics: 219 (Graduate Studies in Mathematics) - Softcover

Michael Joswig (author)

Softcover

ISBN 10: 1470467410 ISBN 13: 9781470467418

Publisher: American Mathematical Society, 2022

Synopsis

The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between these two subject areas is fruitful in two ways. Through tropical geometry optimization algorithms become applicable to questions in algebraic geometry. Conversely, looking at topics in optimization through the tropical geometry lens adds an additional layer of structure. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational complexity. This self-contained book grew out of several courses given at Technische Universitat Berlin and elsewhere, and the main prerequisite for the reader is a basic knowledge in polytope theory. It contains a good number of exercises, many examples, beautiful figures, as well as explicit tools for computations using $\texttt{polymake}$.

About this title

About the Author

Michael Joswig, Technische Universitat Berlin, Germany, and Max-Planck Institut fur Mathematik in den Naturwissenschaften, Leipzig, Germany

Edition details

• Publisher: American Mathematical Society
• Publication date: 2022
• ISBN 10: 1470467410
• ISBN 13: 9781470467418
• Binding: Paperback
• Language: English
• Number of pages: 398