
Essentials of Tropical Combinatorics
Michael Joswig(Author)
American Mathematical Society (Publisher)
Published on 30. April 2022
Book
Paperback/Softback
398 pages
978-1-4704-6741-8 (ISBN)
Description
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 $\texttt{polymake}$.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Weight
728 gr
ISBN-13
978-1-4704-6741-8 (9781470467418)
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Schweitzer Classification
Person
Michael Joswig, Technische Universitat Berlin, Germany, and Max-Planck Institut fur Mathematik in den Naturwissenschaften, Leipzig, Germany