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

Book 186 of 190: Graduate Studies in Mathematics

Michael Joswig (author)

 
9781470467418: Essentials of Tropical Combinatorics: 219 (Graduate Studies in Mathematics)
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 $\texttt{polymake}$.

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About the Author

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

"About this title" may belong to another edition of this title.

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