Articoli correlati a Essentials of Tropical Combinatorics
Sinossi
At the graduate student level, Joswig explains connections between tropical geometry and optimization. Bridging between these two areas of mathematics is fruitful in two ways, he says. First, through tropical geometry optimizations, algorithms become applicable to questions in algebraic geometry. Second, looking at topics in optimization through the tropical geometry lens adds another layer of structure. Among his topics are fields of power series and tropicalization, products of tropical polynomials and the Cayley Trick, combinatorics of tropical polytopes, tropical half-spaces, and matroids and tropical linear spaces. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
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Essentials of Tropical Combinatorics (eng)
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American Mathematical Society, 2022
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ISBN 13: 9781470467418
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Essentials of Tropical Combinatorics
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Essentials of Tropical Combinatorics
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Paperback. Condizione: New. 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 $\texttt{polymake}$. Codice articolo LU-9781470467418
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Paperback. Condizione: new. 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 $\texttt{polymake}$. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9781470467418
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Essentials of Tropical Combinatorics
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Essentials of Tropical Combinatorics (Graduate Studies in Mathematics, 219)
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Essentials of Tropical Combinatorics
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ISBN 13: 9781470467418
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Essentials of Tropical Combinatorics (Graduate Studies in Mathematics, 219)
Editore:
American Mathematical Society, 2022
ISBN 10: 1470467410
ISBN 13: 9781470467418
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