Description

Book Synopsis
The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The motivation for these topics is the difficulty, both conceptually and in the technical execution, of combining elements of combinatorial and of numerical algorithms. Mesh generation is a topic where a meaningful combination of these different approaches to problem solving is inevitable. The book develops methods from both areas that are amenable to combination, and explains breakthrough solutions to meshing that fit into this category. This book emphasizes topics that are elementary, attractive, useful, interesting, and lend themselves to teaching, making it an ideal graduate text for courses on mesh generation.

Trade Review
'… a very readable exposition …'. Monatshefte für Mathematik
'… well organised … We recommend the book to graduate students and researchers in computational geometry.' János Kincses, Acta Sci. Math.

Table of Contents
1. Delaunay triangulations; 2. Triangle meshes; 3. Combinatorial topology; 4. Surface simplification; 5. Delaunay tetrahedrizations; 6. Tetrahedron meshes; 7. Open problems.

Geometry and Topology for Mesh Generation Cambridge Monographs on Applied and Computational Mathematics Series Number 7

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    A Paperback by Herbert Edelsbrunner

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      View other formats and editions of Geometry and Topology for Mesh Generation Cambridge Monographs on Applied and Computational Mathematics Series Number 7 by Herbert Edelsbrunner

      Publisher: Cambridge University Press
      Publication Date: 1/9/2006 12:00:00 AM
      ISBN13: 9780521682077, 978-0521682077
      ISBN10: 052168207X
      Also in:
      Mathematics Numerical analysis

      Description

      Book Synopsis
      The book combines topics in mathematics (geometry and topology), computer science (algorithms), and engineering (mesh generation). The motivation for these topics is the difficulty, both conceptually and in the technical execution, of combining elements of combinatorial and of numerical algorithms. Mesh generation is a topic where a meaningful combination of these different approaches to problem solving is inevitable. The book develops methods from both areas that are amenable to combination, and explains breakthrough solutions to meshing that fit into this category. This book emphasizes topics that are elementary, attractive, useful, interesting, and lend themselves to teaching, making it an ideal graduate text for courses on mesh generation.

      Trade Review
      '… a very readable exposition …'. Monatshefte für Mathematik
      '… well organised … We recommend the book to graduate students and researchers in computational geometry.' János Kincses, Acta Sci. Math.

      Table of Contents
      1. Delaunay triangulations; 2. Triangle meshes; 3. Combinatorial topology; 4. Surface simplification; 5. Delaunay tetrahedrizations; 6. Tetrahedron meshes; 7. Open problems.

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