Contents

Chapters in this book

1. Frontmatter I
2. Preface V
3. Contents IX
4. 1. Geometry and geometric ideas 1
5. 2. Isometries in Euclidean vector spaces and their classification in ℝⁿ 17
6. 3. The conic sections in the Euclidean plane 51
7. 4. Special groups of planar isometries 67
8. 5. Graph theory and platonic solids 101
9. 6. Linear fractional transformation and planar hyperbolic geometry 135
10. 7. Combinatorics and combinatorial problems 161
11. 8. Finite probability theory and Bayesian analysis 213
12. 9. Boolean lattices, Boolean algebras and Stone’s theorem 245
13. Bibliography 279
14. Index 281