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(Note: Each chapter concludes with a Conclusion, Exercises, References and Further Readings.)
I. THE MATHEMATICS OF SOCIAL CHOICE.
1. The Mathematics of Voting: The Paradoxes of Democracy.
2. Weighted Voting Systems: The Power Game.
3. Fair Division: The Slice is Right.
4. The Mathematics of Apportionment: Making the Rounds.
II. MANAGEMENT SCIENCE.
5. Euler Circuits: The Circuit Comes to Town.
6. The Traveling-Salesman Problem: Hamilton Joins the Circuit.
7. The Mathematics of Networks: Connections!
8. The Mathematics of Scheduling: Directed Graphs and Critical Paths.
III. GROWTH AND SYMMETRY.
9. Spiral Growth in Nature: Fibonacci Numbers and the Golden Ratio.
10. The Mathematics of Population Growth: There is Strength in Numbers.
11. Symmetry: Mirror, Mirror, off the Wall . . .
12. Fractal Geometry: Fractally Speaking.
IV. STATISTICS.
13. Collecting Statistical Data: Censuses, Surveys, and Studies.
14. Descriptive Statistics: Graphing and Summarizing Data.
15. Chances, Probability, and Odds: Measuring Uncertainty.
16. Normal Distributions: Everything is Back to Normal (Almost).
Answers to Selected Problems.
Index.
Photo Credits.
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