Triangulations: Structures for Algorithms and Applications: 25 (Algorithms and Computation in Mathematics, 25) - Tapa dura
Libro 19 de 24: Algorithms and Computation in Mathematics
Sinopsis
Triangulations appear in many different parts of mathematics and computer science since they are the natural way to decompose a region of space into smaller, easy-to-handle pieces. From volume computations and meshing to algebra and topology, there are many natural situations in which one has a ?xed set of points that can be used as vertices for the triangulation. Typically one wants to ?nd an optimal triangulation of those points or to explore the set of their all triangulations. The given points may represent the "sites" for a Delaunay triangulation computation, d thetest pointsfora surfacereconstruction,ora set ofmonomials,representedaslattice pointsinZ ,inanalgebra- geometric meaning. A central theme of this book is to use the rich geometric structure of the space of triangulations of a given set of points to solve computational problems (e.g., counting the number of triangulations or ?nding optimal triangulations with respect to various criteria), and for setting up connections to novel applications in algebra, computer science, combinatorics, and optimization. Thus at the heart of the book is a comprehensive treatment of the theory of regular subdivisions, secondary polytopes, ?ips, chambers, and their interactions. Again, we ?rmly believe that understandingthe fundamentsof geometry and combinatoricspays up for algorithmsand applications.
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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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Triangulations
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Springer Berlin Heidelberg Sep 2010, 2010
ISBN 10: 3642129706
ISBN 13: 9783642129704
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 552 pp. Englisch. Nº de ref. del artículo: 9783642129704
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Triangulations
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Springer Berlin Heidelberg, 2010
ISBN 10: 3642129706
ISBN 13: 9783642129704
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Librería: moluna, Greven, Alemania
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First comprehensive treatment of the theory of regular triangulations, secondary polytopes and related topics appearing in book formDiscusses the geometric structure behind the algorithms and shows new emerging applicationsTheory discusses high-dimensional . Nº de ref. del artículo: 5050036
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Triangulations | Structures for Algorithms and Applications
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Buch. Condición: Neu. Triangulations | Structures for Algorithms and Applications | Jesus De Loera (u. a.) | Buch | xiii | Englisch | 2010 | Springer | EAN 9783642129704 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Nº de ref. del artículo: 101203434
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Triangulations
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2010, 2010
ISBN 10: 3642129706
ISBN 13: 9783642129704
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Buch. Condición: Neu. Neuware -Triangulations appear everywhere, from volume computations and meshingto algebra and topology. This book studies the subdivisions andtriangulations of polyhedral regions and point sets and presents thefirst comprehensive treatment of the theory of secondary polytopes andrelated topics.A central theme of the book is the use of the rich structure of thespace of triangulations to solve computational problems (e.g., countingthe number of triangulations or finding optimal triangulations withrespect to various criteria), and to establish connections toapplications in algebra, computer science, combinatorics, andoptimization.With many examples and exercises, and with nearly five hundredillustrations, the book gently guides readers through the propertiesof the spaces of triangulations of 'structured' (e.g., cubes, cyclicpolytopes, lattice polytopes) and 'pathological' (e.g., disconnectedspaces of triangulations) situations using only elementary principles.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 552 pp. Englisch. Nº de ref. del artículo: 9783642129704
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Triangulations : Structures for Algorithms and Applications
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Springer Berlin Heidelberg, 2010
ISBN 10: 3642129706
ISBN 13: 9783642129704
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Nº de ref. del artículo: 9783642129704
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Triangulations: Structures for Algorithms and Applications (Algorithms and Computation in Mathematics, Vol. 25)
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Hardcover. Condición: Like New. Like New. book. Nº de ref. del artículo: ERICA77336421297066
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