Triangulations: Structures for Algorithms and Applications - Francisco Santos,Jesus De Loera,Joerg Rambau
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Saadetis 17-23 tööpäeva jooksul
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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 prob ... Täielik kirjeldus
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Kirjeldus
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.
Lisateave
| Autor | Francisco Santos, Jesus De Loera, Joerg Rambau |
|---|---|
| Kirjastaja | Springer Berlin Heidelberg |
| Series | Algorithms and Computation in Mathematics |
| Väljalaskeaasta | 2010 |
| Kaanetüüp | Kõvakaaneline |
| EAN | 9783642129704 |