Lectures on Discrete Geometry

Editors:

ISBN: 978-0-387-95374-8 (Print) 978-1-4613-0039-7 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages i-xvi

  2. No Access

    Book Chapter

    Pages 1-16

    Convexity

  3. No Access

    Book Chapter

    Pages 17-28

    Lattices and Minkowski’s Theorem

  4. No Access

    Book Chapter

    Pages 29-39

    Convex Independent Subsets

  5. No Access

    Book Chapter

    Pages 41-76

    Incidence Problems

  6. No Access

    Book Chapter

    Pages 77-124

    Convex Polytopes

  7. No Access

    Book Chapter

    Pages 125-163

    Number of Faces in Arrangements

  8. No Access

    Book Chapter

    Pages 165-194

    Lower Envelopes

  9. No Access

    Book Chapter

    Pages 195-206

    Intersection Patterns of Convex Sets

  10. No Access

    Book Chapter

    Pages 207-229

    Geometric Selection Theorems

  11. No Access

    Book Chapter

    Pages 231-263

    Transversals and Epsilon Nets

  12. No Access

    Book Chapter

    Pages 265-288

    Attempts to Count k-Sets

  13. No Access

    Book Chapter

    Pages 289-309

    Two Applications of High-Dimensional Polytopes

  14. No Access

    Book Chapter

    Pages 311-328

    Volumes in High Dimension

  15. No Access

    Book Chapter

    Pages 329-353

    Measure Concentration and Almost Spherical Sections

  16. No Access

    Book Chapter

    Pages 355-400

    Embedding Finite Metric Spaces into Normed Spaces

  17. No Access

    Book Chapter

    Pages 401-407

    What Was It About? An Informal Summary

  18. Back Matter

    Pages 409-485