A Short Course in Computational Geometry and Topology, by Herbert Edelsbrunner
Type
Label
A Short Course in Computational Geometry and Topology, by Herbert Edelsbrunner
Language
eng
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0
Literary Form
non fiction
Main title
A Short Course in Computational Geometry and Topology
Medium
electronic resource
Oclc number
879343648
Responsibility statement
by Herbert Edelsbrunner
Series statement
SpringerBriefs in Applied Sciences and Technology,, 2191-530XSpringer eBooks
Summary
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
Table Of Contents
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
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