Essentials of Tropical Combinatorics (Paperback)

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 $\texttt{polymake}$.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Graduate Studies in Mathematics
Release date:	November 2021
Authors:	Michael Joswig
Dimensions:	187 x 263 x 28mm (L x W x T)
Format:	Paperback
Pages:	398
ISBN-13:	978-1-4704-6741-8
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	1-4704-6741-0
Barcode:	9781470467418

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