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8 Simplicial Complexes and Topological Data Analysis
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Benjamin Fine
, Anja Moldenhauer , Gerhard Rosenberger , Annika Schürenberg and Leonard Wienke
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Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- 1 Geometry and Geometric Ideas 1
- 2 Isometries in Euclidean Vector Spaces and their Classification in ℝn 31
- 3 The Conic Sections in the Euclidean Plane 69
- 4 Special Groups of Planar Isometries 87
- 5 Graph Theory and Graph Theoretical Problems 127
- 6 Spherical Geometry and Platonic Solids 159
- 7 Linear Fractional Transformation and Planar Hyperbolic Geometry 177
- 8 Simplicial Complexes and Topological Data Analysis 205
- 9 Combinatorics and Combinatorial Problems 223
- 10 Finite Probability Theory and Bayesian Analysis 277
- 11 Boolean Lattices, Boolean Algebras and Stone’s Theorem 311
- Bibliography 347
- Index 349
Chapters in this book
- Frontmatter I
- Preface V
- Contents VII
- 1 Geometry and Geometric Ideas 1
- 2 Isometries in Euclidean Vector Spaces and their Classification in ℝn 31
- 3 The Conic Sections in the Euclidean Plane 69
- 4 Special Groups of Planar Isometries 87
- 5 Graph Theory and Graph Theoretical Problems 127
- 6 Spherical Geometry and Platonic Solids 159
- 7 Linear Fractional Transformation and Planar Hyperbolic Geometry 177
- 8 Simplicial Complexes and Topological Data Analysis 205
- 9 Combinatorics and Combinatorial Problems 223
- 10 Finite Probability Theory and Bayesian Analysis 277
- 11 Boolean Lattices, Boolean Algebras and Stone’s Theorem 311
- Bibliography 347
- Index 349