Excursions in Modern Mathematics

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  • Edition: 2nd
  • Copyright: 1995-01-01
  • Publisher: Prentice Hall Professional Technical Reference
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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
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
Photo Credits
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