Table of Contents

1. Altmetric Badge
   Book Overview
2. Altmetric Badge
   Chapter 1 A Story of Colored Polygons and Arithmetic Progressions
3. Altmetric Badge
   Chapter 2 Chromatic Number of the Plane: The Problem
4. Altmetric Badge
   Chapter 3 Chromatic Number of the Plane: An Historical Essay
5. Altmetric Badge
   Chapter 4 Polychromatic Number of the Plane and Results Near the Lower Bound
6. Altmetric Badge
   Chapter 5 De Bruijn–Erdős Reduction to Finite Sets and Results Near the Lower Bound
7. Altmetric Badge
   Chapter 6 Polychromatic Number of the Plane and Results Near the Upper Bound
8. Altmetric Badge
   Chapter 7 Continuum of 6-Colorings of the Plane
9. Altmetric Badge
   Chapter 8 Chromatic Number of the Plane in Special Circumstances
10. Altmetric Badge
    Chapter 9 Measurable Chromatic Number of the Plane
11. Altmetric Badge
    Chapter 10 Coloring in Space
12. Altmetric Badge
    Chapter 11 Rational Coloring
13. Altmetric Badge
    Chapter 12 Chromatic Number of a Graph
14. Altmetric Badge
    Chapter 13 Dimension of a Graph
15. Altmetric Badge
    Chapter 14 Embedding 4-Chromatic Graphs in the Plane
16. Altmetric Badge
    Chapter 15 Embedding World Records
17. Altmetric Badge
    Chapter 16 Edge Chromatic Number of a Graph
18. Altmetric Badge
    Chapter 17 Carsten Thomassen’s 7-Color Theorem
19. Altmetric Badge
    Chapter 18 How the Four-Color Conjecture Was Born
20. Altmetric Badge
    Chapter 19 Victorian Comedy of Errors and Colorful Progress
21. Altmetric Badge
    Chapter 20 Kempe–Heawood’s Five-Color Theorem and Tait’s Equivalence
22. Altmetric Badge
    Chapter 21 The Four-Color Theorem
23. Altmetric Badge
    Chapter 22 The Great Debate
24. Altmetric Badge
    Chapter 23 How Does One Color Infinite Maps? A Bagatelle
25. Altmetric Badge
    Chapter 24 Chromatic Number of the Plane Meets Map Coloring: Townsend–Woodall’s 5-Color Theorem
26. Altmetric Badge
    Chapter 25 Paul Erdős
27. Altmetric Badge
    Chapter 26 De Bruijn–Erdős’s Theorem and Its History
28. Altmetric Badge
    Chapter 27 Edge Colored Graphs: Ramsey and Folkman Numbers
29. Altmetric Badge
    Chapter 28 From Pigeonhole Principle to Ramsey Principle
30. Altmetric Badge
    Chapter 29 The Happy End Problem
31. Altmetric Badge
    Chapter 30 The Man behind the Theory: Frank Plumpton Ramsey
32. Altmetric Badge
    Chapter 31 Ramsey Theory Before Ramsey: Hilbert’s Theorem
33. Altmetric Badge
    Chapter 32 Ramsey Theory Before Ramsey: Schur’s Coloring Solution of a Colored Problem and Its Generalizations
34. Altmetric Badge
    Chapter 33 Ramsey Theory before Ramsey: Van der Waerden Tells the Story of Creation
35. Altmetric Badge
    Chapter 34 Whose Conjecture Did Van der Waerden Prove? Two Lives Between Two Wars: Issai Schur and Pierre Joseph Henry Baudet
36. Altmetric Badge
    Chapter 35 Monochromatic Arithmetic Progressions: Life After Van der Waerden
37. Altmetric Badge
    Chapter 36 In Search of Van der Waerden: The Early Years
38. Altmetric Badge
    Chapter 37 In Search of Van der Waerden: The Nazi Leipzig, 1933–1945
39. Altmetric Badge
    Chapter 38 In Search of Van der Waerden: The Postwar Amsterdam, 1945 166
40. Altmetric Badge
    Chapter 39 In Search of Van der Waerden: The Unsettling Years, 1946–1951
41. Altmetric Badge
    Chapter 40 Monochromatic Polygons in a 2-Colored Plane
42. Altmetric Badge
    Chapter 41 3-Colored Plane, 2-Colored Space, and Ramsey Sets
43. Altmetric Badge
    Chapter 42 Gallai’s Theorem
44. Altmetric Badge
    Chapter 43 Application of Baudet–Schur–Van der Waerden
45. Altmetric Badge
    Chapter 44 Application of Bergelson–Leibman’s and Mordell–Faltings’ Theorems
46. Altmetric Badge
    Chapter 45 Solution of an Erdős Problem: O’Donnell’s Theorem
47. Altmetric Badge
    Chapter 46 What If We Had No Choice?
48. Altmetric Badge
    Chapter 47 A Glimpse into the Future: Chromatic Number of the Plane, Theorems and Conjectures
49. Altmetric Badge
    Chapter 48 Imagining the Real, Realizing the Imaginary
50. Altmetric Badge
    Chapter 49 Two Celebrated Problems