Triangulations Structures for Algorithms and Applications
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Auteur:
Jesus de Loera
Joerg Rambau
Co-auteur:
Francisco Santos
- Engels
- Paperback
- 9783642129704
- 06 september 2010
- 535 pagina's
Samenvatting
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.
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.
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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Inhoud
- Taal
- en
- Bindwijze
- Paperback
- Oorspronkelijke releasedatum
- 06 september 2010
- Aantal pagina's
- 535
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Jesus de Loera
- Tweede Auteur
- Joerg Rambau
- Co Auteur
- Francisco Santos
- Hoofduitgeverij
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Overige kenmerken
- Extra groot lettertype
- Nee
- Product breedte
- 193 mm
- Product lengte
- 260 mm
- Studieboek
- Nee
- Verpakking breedte
- 205 mm
- Verpakking hoogte
- 269 mm
- Verpakking lengte
- 32 mm
- Verpakkingsgewicht
- 1458 g
EAN
- EAN
- 9783642129704
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