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Computational Topology - An Introduction by Herbert Edelsbrunner, John Harer is a nonfiction available to read on EtoBox.
What is Computational Topology - An Introduction about?
Table of Contents Part A I Graphs 1 1 Connected Components 2 2 Curves in the Plane 9 3 Knots and Links 15 4 Planar Graphs 22 Exercises 29 II Surfaces 31 1 Two-dimensional Manifolds 32 2 Searching a Triangulation 39 3 Self-intersections 45 4 Surface Simplification 51 Exercises 57 III Complexes 59 1 Simplicial Complexes 60 2 Convex Set Systems 67 3 Delaunay Complexes 74 4 Alpha Complexes 81 Exercises 88 Part B IV Homology 91 1 Homology Groups 92 2 Matrix Reduction 98 3 Relative Homology 104 4 Exact Sequences 111 Exercises 118 V Duality 121 1 Cohomology 122 2 Poincar ́e Duality 128 3 Intersection Theory 132 4 Alexander Duality 136 Exercises 139 VI Morse Functions 141 1 Generic Smooth Functions 142 2 Transversality 148 3 Piecewise Linear Functions 154 4 Reeb Graphs 160 Exercises 167 Part C VII Persistence 169 1 Persistent Homology 170 2 Efficient Implementations 178 3 Extended Persistence 184 4 Spectral Sequences 191 Exercises 198 VIII Stability 201 1 Time Series 202 2 Stability Theorems 208 3 Length of a Curve 215 4 Bipartite Graph Matching 221 Exercises 228 IX Applications 231 1 Image Segmentation 2 Elevation 3 Gene Expression 4 Local Homology for Plant Root Architecture Exercises Pa
Who reads Computational Topology - An Introduction?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Herbert Edelsbrunner, John Harer
- Published
- 2008
- Language
- EN
- Category
- nonfiction
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