Mathematics Beyond the Numbers, by
George T. Gilbert and Rhonda L. Hatcher, Wiley 2000
This introductory text includes a wide selection of interesting mathematical topics
and real world applications. As prequisities an understanding of high
school level mathematics is assumed. We will discuss as many of the following topics as time permits.
- Voting Methods
- Plurality and Runoff Methods
- Borda's method: A Scoring System
- Head-to-Head Comparisons
- Aproval Voting
- The Search for a Ideal Voting System
- The mathematics of money
- Powers, Roots and Logarithms
- Simple Interest
- Compound Interest
- The Rewards of Systematic Savings
- Amortized Loans
- Probability
- Elementary Probability
- Odds
- The Addition Rule
- Counting Techniques
- Paths and Networks
- Eulerian Paths and Circuits on Graphs
- The travelling salesman problem
- Tilings and Polyhedra
- Polygons
- Regular Tilings
- Polyhedra
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