Zum Hauptinhalt springen Zur Suche springen Zur Hauptnavigation springen
Beschreibung
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering.

The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering.

The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
Über den Autor
Herbert Edelsbrunner, Duke University, Durham, NC, Geomagic, Research Triangle Park, NC.

John L. Harer, Duke University, Durham, NC.
Inhaltsverzeichnis
  • Computational geometric topology: Graphs
  • Surfaces
  • Complexes
  • Computational algebraic topology: Homology
  • Duality
  • Morse functions
  • Computational persistent topology: Persistence
  • Stability
  • Applications
  • References
  • Index
Details
Erscheinungsjahr: 2010
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9781470467692
ISBN-10: 1470467690
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Edelsbrunner, Herbert
Harer, John L.
Hersteller: American Mathematical Society
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 178 x 257 x 21 mm
Von/Mit: Herbert Edelsbrunner (u. a.)
Erscheinungsdatum: 30.01.2010
Gewicht: 0,466 kg
Artikel-ID: 131479122

Ähnliche Produkte