Synopses & Reviews
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For undergraduate courses in Liberal Arts Mathematics, Quantitative Literacy, and General Education.
NEW: Now with “Mini-Excursions” Included!
These are enrichment topics that have been added at the end of each part and require an understanding of the core material covered in one or more of the chapters. Shorter than a full chapter but much more substantive than an appendix. Each mini-excursion includes its own exercise set.
This very successful liberal arts mathematics textbook is a collection of “excursions” into the real-world applications of modern mathematics. The excursions are organized into four independent parts: 1) The Mathematics of Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. Each part consists of four chapters plus a mini-excursion (new feature in 6/e). The book is written in an informal, very readable style, with pedagogical features that make the material both interesting and clear. The presentation is centered on an assortment of real-world examples and applications specifically chosen to illustrate the usefulness, relevance, and beauty of liberal arts mathematics.
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Synopsis
For undergraduate courses in Liberal Arts Mathematics, Quantitative Literacy, and General Education.
NEW: Now with “Mini-Excursions” Included!
These are enrichment topics that have been added at the end of each part and require an understanding of the core material covered in one or more of the chapters. Shorter than a full chapter but much more substantive than an appendix. Each mini-excursion includes its own exercise set.
This very successful liberal arts mathematics textbook is a collection of “excursions” into the real-world applications of modern mathematics. The excursions are organized into four independent parts: 1) The Mathematics of Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. Each part consists of four chapters plus a mini-excursion (new feature in 6/e). The book is written in an informal, very readable style, with pedagogical features that make the material both interesting and clear. The presentation is centered on an assortment of real-world examples and applications specifically chosen to illustrate the usefulness, relevance, and beauty of liberal arts mathematics.
Synopsis
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 chapters—1) Social Choice, 2) Management Science, 3) Growth and Symmetry, and 4) Statistics. For the study of mathematics.
Table of Contents
(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.