Essentials of Tropical Combinatorics

Michael Joswig

ISBN 10: 1470467410 / ISBN 13: 9781470467418

Verlag: American Mathematical Society, US, 2022

Beschreibung

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 $\texttt{polymake}$.

Bestandsnummer des Verkäufers LU-9781470467418

Bibliografische Details

• Titel: Essentials of Tropical Combinatorics
• Verlag: American Mathematical Society, US
• Erscheinungsjahr: 2022
• Sprache: Englisch
• ISBN-10: 1470467410
• ISBN-13: 9781470467418
• Einband: Paperback
• Zustand: New
• Gewicht: 728 Gramm

Über diesen Titel

Inhaltsangabe

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 $\texttt{polymake}$.

Über die Autorin bzw. den Autor

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