Galois Lectures

By Jesse Douglas; Philip Franklin et al. | Go to book overview

THE FOUR COLOR PROBLEM

CONTENTS
PAGE
1. Introduction53
2. Euler's Theorem57
3. Topographic Maps58
4. Regular Maps59
5. The Five Color Theorem61
6. Configurations Reducible with Four Colors62
7. Minimum Irreducible Maps64
8. Special Coloration Theorems65
9. Special Classes of Colorable Maps67
10. Methods Involving Vertices and Edges68
11. The Problem of Tait, and Petersen's Theorem71
12. More Dimensions76
13. Surfaces of Higher Genus77
14. One-sided Surfaces80
15. Empires82
16. The Number of Colorations83
17. Mutually Contiguous Countries83
18. Conclusions84

-51-

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Galois Lectures
Table of contents

Table of contents

  • Title Page i
  • Contents iii
  • SURVEY OF THE THEORY OF INTEGRATION 1
  • Contents 3
  • References 48
  • THE FOUR COLOR PROBLEM 49
  • Contents 51
  • CHARLES SANDERS PEIRCE AS A PIONEER 87
  • Contents 89
  • THE FOURTH DIMENSION AND RELATIVITY 113
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