Essentials of Tropical Combinatorics
Series: Graduate Studies in Mathematics;
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39 981 Ft
Availability
Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
Not in stock at Prospero.
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Product details:
- Publisher MP?AMM American Mathematical
- Date of Publication 30 April 2022
- ISBN 9781470467418
- Binding Paperback
- No. of pages398 pages
- Size 263x182x29 mm
- Weight 696 g
- Language English 708
Categories
Short description:
The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational complexity.
MoreLong 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 $\texttt{polymake}$.
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