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Triangulations

- Structures for Algorithms and Applications

Bag om Triangulations

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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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783662502419
  • Indbinding:
  • Paperback
  • Sideantal:
  • 535
  • Udgivet:
  • 23. august 2016
  • Udgave:
  • 12010
  • Vægt:
  • 1405 g.
  • BLACK NOVEMBER
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Leveringstid: 2-3 uger
Forventet levering: 10. december 2024

Beskrivelse af Triangulations

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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