Excursions in modern mathematics
著者
書誌事項
Excursions in modern mathematics
Pearson Education, c2004
5th ed.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
For undergraduate courses in Liberal Arts Mathematics, Quantitative Literacy, and General Education.
This collection of "excursions" into modern mathematics is organized into four independent parts, each consisting of four chapters-1) Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. The book is written in an informal, very readable style, with pedagogical features that make the material both interesting and clear. Coverage centers on an assortment of real-world examples and applications, demonstrating the usefulness, relevance, and attractiveness of liberal arts mathematics.
目次
(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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