Herbert Edelsbrunner

A Short Course in Computational Geometry and Topology (eBook, PDF)

• Format: PDF

Produktbeschreibung

With the aim to bring the subject of Computational Geometry and Topology closer to the scientific audience, this book is written in thirteen ready-to-teach sections organized in four parts: TESSELLATIONS, COMPLEXES, HOMOLOGY, PERSISTENCE. To speak to the non-specialist, detailed formalisms are often avoided in favor of lively 2- and 3-dimensional illustrations. The book is warmly recommended to everybody who loves geometry and the fascinating world of shapes.

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 110
• Erscheinungstermin: 28. April 2014
• Englisch
• ISBN-13: 9783319059570
• Artikelnr.: 43788286

Inhaltsangabe

Roots of Geometry and Topology.- Voronoi and Delaunay Diagrams.- Weighted Diagrams.- Three Dimensions.- Alpha Complexes.- Holes.- Area Formulas.- Topological Spaces.- Homology Groups.- Complex Construction.- Filtrations.- PL Functions.- Matrix Reduction.- Epilogue.