内容

目次

1. Buffon's Clean Tile Problem and the Needle Problem 2. Some Geometrical Objects 3. Probability Measures and Invariance Properties 4. Measures for Points of Intersection and Random Rotations 5. Random Points 6. Random Distances on a Line and Some General Procedures 7. Random Distances in a Circle 8. Random Points in a Plane and Random Points in Rectangles 9. Random Distances in a Convex Body 10. The Content of a Random Parallelotope 11. Random Volume, an Algebraic Procedure 12. Random Points in a n-Ball 13. Convex Hulls Generated by Random Points 14. Random Simplex in a Given Simplex 15. The Method of Moments 16. Uniformly Distributed Random Points in a Unit n-Ball 17. Type-1 Beta Distributed Random Points in Rn 18. Type-2 Beta Distributed Random Points in Rn 19. Gaussian Distributed Random Points in Rn 20. Approximations and Asymptotic Results 21. Miscellaneous Random Volumes and Their Distributions