Excursions in Modern Mathematics

by TANNENBAUM

• ISBN13: 9780133869217
• ISBN10: 0133869210
• Edition: 2nd
• Copyright: 1995-01-01
• Publisher: Prentice Hall Professional Technical Reference

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

(Note: Each chapter includes a Chapter Opener that includes an outline of the chapter, a Conclusion, a list of Key Terms, , Exercises, a Biographical Note, and References and Further Readings.)

The Mathematics of Social Choice

The Mathematics of Voting: The Paradoxes of Democracy

Weighted Voting Systems: The Power Game

Fair Division: The Mathematics of Sharing

The Mathematics of Apportionment: Making the Rounds

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

Management Science

Euler Circuits: The Circuit Comes to Town

The Traveling-Salesman Problem: HamiltonJoins the Circuit

The Mathematics of Networks: The Cost of Being Connected

The Mathematics of Scheduling: Directed Graphs and Critical Paths

Mini-Excursion 2. A Touch of Color: Graph Coloring and Matching

Growth and Symmetry

Spiral Growth in Nature: Fibonacci Numbers and the Golden Ratio

The Mathematics of Population Growth: There is Strength in Numbers

Symmetry: Mirror, Mirror, off the Wall

Fractal Geometry: Fractally Speaking

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

Statistics

Collecting Statistical Data: Censuses, Surveys, and Studies

Descriptive Statistics: Graphing and Summarizing Data

Chances, Probability, and Odds: Measuring Uncertainty

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

Table of Contents provided by Publisher. All Rights Reserved.