Triangulations

Structures for Algorithms and Applications
Softcover Nachdruck of the original 1. Auflage 2010
ISBN: 978-3-662-50241-9
Verlag: Springer

Buch, Englisch, 535 Seiten, Previously published in hardcover, Format (B × H): 193 mm x 260 mm, Gewicht: 1276 g

Reihe: Algorithms and Computation in Mathematics

First comprehensive treatment of the theory of regular triangulations, secondary polytopes and related topics appearing in book form Discusses the geometric structure behind the algorithms and shows new emerging applications Theory discusses high-dimensional situations, an area that is not always covered in computational geometry Step-by-step introduction assuming very little background Hundreds of illustrations, examples, and exercises Includes supplementary material: sn.pub/extras

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

De Loera, Jesus

Rambau, Joerg

Santos, Francisco

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen
• Mathematik | Informatik EDV | Informatik Informatik Theoretische Informatik
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

Triangulations in Mathematics.- Configurations, Triangulations, Subdivisions, and Flips.- Life in Two Dimensions.- A Tool Box.- Regular Triangulations and Secondary Polytopes.- Some Interesting Configurations.- Some Interesting Triangulations.- Algorithmic Issues.- Further Topics.

Über Autor(innen)

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".