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Excursions in Modern Mathematics - Text Only
Excursions in Modern Mathematics - Text Only
Author: Tannenbaum, Peter
Edition/Copyright: 6TH 07
ISBN: 0-13-187363-6
Publisher: Prentice Hall, Inc.
Type: Hardback
Used Print:  $100.50
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Summary
Table of Contents
 
  Summary

For undergraduate courses in Liberal Arts Mathematics, Quantitative Literacy, and General Education.

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.

 
  Table of Contents

PART 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.
Mini-Excursion 1. Apportionment Today: The Huntington-Hill Method.

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: The Cost of Being Connected.
8. The Mathematics of Scheduling: Directed Graphs and Critical Paths.
Mini-Excursion 2. A Touch of Color: Graph Coloring and Matching.

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.
Mini-Excursion 3. The Time Value of Money: Annuities.

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).
Mini-Excursion 4. The Cost of Risk-Taking: Expected Value.

Answers to Selected Problems.
Index.
Photo Credits.

 

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