Triangulations: Structures for Algorithms and Applications: 25 (Algorithms and Computation in Mathematics, 25) - Tapa blanda

Libro 19 de 24: Algorithms and Computation in Mathematics

De Loera, Jesus; Rambau, Joerg; Santos, Francisco

 
9783662502419: Triangulations: Structures for Algorithms and Applications: 25 (Algorithms and Computation in Mathematics, 25)
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ISBN 10: 3662502410 ISBN 13: 9783662502419
Editorial: Springer-Verlag GmbH, 2016

Sinopsis

Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.

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Acerca del autor

J.A. De Loera is a professor of mathematics at the University of California, Davis. His work approaches difficult computational problems in discrete mathematics and optimization using tools from algebra and convex geometry. His research has been recognized by an Alexander von Humboldt Fellowship and several national and international grants. He is an associate editor of the journal "Discrete Optimization". Jörg Rambau is the chair professor of Wirtschaftsmathematik (Business Mathematics) at the Universität of Bayreuth since 2004. Before that he was associate head of the optimization department at the Zuse Institute Berlin (ZIB). His research encompasses problems in applied optimization, algorithmic discrete mathematics and combinatorial geometry. He is the creator of the state of the art program for triangulation computations TOPCOM. He is associate editor of the "Jahresberichte der Deutschen Mathematiker-Vereinigung". Francisco Santos, a professor at the Universidad de Cantabria Spain, received the Young Researcher award from the Universidad Complutense de Madrid in 2003 and was an invited speaker in the Combinatorics Section of the International Congress of Mathematicians in 2006. He is well-known for his explicit constructions of polytopes with disconnected spaces of triangulations, some of which are featured in this book. He is an editor of Springer Verlag's journal "Discrete and Computational Geometry".

De la contraportada

Triangulations appear everywhere, from volume computations and meshing to algebra and topology. This book studies the subdivisions and triangulations of polyhedral regions and point sets and presents the first comprehensive treatment of the theory of secondary polytopes and related topics. A central theme of the book is the use of the rich structure of the space of triangulations to solve computational problems (e.g., counting the number of triangulations or finding optimal triangulations with respect to various criteria), and to establish connections to applications in algebra, computer science, combinatorics, and optimization. With many examples and exercises, and with nearly five hundred illustrations, the book gently guides readers through the properties of the spaces of triangulations of "structured" (e.g., cubes, cyclic polytopes, lattice polytopes) and "pathological" (e.g., disconnected spaces of triangulations) situations using only elementary principles.

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Editorial
Springer-Verlag GmbH
Año de publicación
2016
Idioma
Inglés
ISBN 10 
3662502410
ISBN 13 
9783662502419
Encuadernación
Tapa blanda
Número de páginas
548
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

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Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783642129704: Triangulations: Structures for Algorithms and Applications: 25 (Algorithms and Computation in Mathematics, 25)

Edición Destacada

ISBN 10:  3642129706 ISBN 13:  9783642129704
Editorial: Springer-Verlag GmbH, 2010
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