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Excursions in Modern Mathematics

by: Tannenbaum, Peter

Excursions in Modern Mathematics

by: Tannenbaum, Peter

ISBN 13:
9780131001916
ISBN 10:
0131001914
Edition: 5th
Format: Hardcover
Copyright: 03/21/2003
Publisher: Pearson
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Excursions in Modern Mathematics > ISBN13: 9780131001916

Summary

This collection of "excursions" into modern mathematics is written in an informal, very readable style, with features that make the material interesting, clear, and easy-to-learn. It centers on an assortment of real-world examples and applications, demonstrating attractive, useful, and modern coverage of liberal arts mathematics.The book consists of four independent parts, each consisting of four chapters1) Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics.For the study of mathematics.

(Note: Each chapter concludes with a Conclusion, Biographical Profile, 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 Mathematics of Sharing.
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: It's All about Being Connected.
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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