2009

The Mathematical Coloring Book

Mathematics of Coloring and the Colorful Life of its Creators

Authors:

ISBN: 978-0-387-74640-1 (Print) 978-0-387-74642-5 (Online)

Table of contents (49 chapters)

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  1. Front Matter

    Pages I-XXX

  2. Merry-Go-Round

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-9

      A Story of Colored Polygons and Arithmetic Progressions

  3. Colored Plane

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-20

      Chromatic Number of the Plane: The Problem

    3. No Access

      Book Chapter

      Pages 21-31

      Chromatic Number of the Plane: An Historical Essay

    4. No Access

      Book Chapter

      Pages 32-38

      Polychromatic Number of the Plane and Results Near the Lower Bound

    5. No Access

      Book Chapter

      Pages 39-42

      De Bruijn–Erdős Reduction to Finite Sets and Results Near the Lower Bound

    6. No Access

      Book Chapter

      Pages 43-49

      Polychromatic Number of the Plane and Results Near the Upper Bound

    7. No Access

      Book Chapter

      Pages 50-56

      Continuum of 6-Colorings of the Plane

    8. No Access

      Book Chapter

      Pages 57-59

      Chromatic Number of the Plane in Special Circumstances

    9. No Access

      Book Chapter

      Pages 60-66

      Measurable Chromatic Number of the Plane

    10. No Access

      Book Chapter

      Pages 67-71

      Coloring in Space

    11. No Access

      Book Chapter

      Pages 72-76

      Rational Coloring

  4. Coloring Graphs

    1. Front Matter

      Pages 77-77

    2. No Access

      Book Chapter

      Pages 79-87

      Chromatic Number of a Graph

    3. No Access

      Book Chapter

      Pages 88-98

      Dimension of a Graph

    4. No Access

      Book Chapter

      Pages 99-109

      Embedding 4-Chromatic Graphs in the Plane

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      Book Chapter

      Pages 110-126

      Embedding World Records

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      Book Chapter

      Pages 127-139

      Edge Chromatic Number of a Graph

    7. No Access

      Book Chapter

      Pages 140-144

      Carsten Thomassen’s 7-Color Theorem

  5. Coloring Maps

    1. Front Matter

      Pages 145-146

    2. No Access

      Book Chapter

      Pages 147-162

      How the Four-Color Conjecture Was Born

    3. No Access

      Book Chapter

      Pages 163-175

      Victorian Comedy of Errors and Colorful Progress

    4. No Access

      Book Chapter

      Pages 176-186

      Kempe–Heawood’s Five-Color Theorem and Tait’s Equivalence

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