Excursions in Modern Mathematics, Edition 5
Copyright 2004, ISBN: 0-13-100191-4
Peter Tannenbaum & Robert Arnold
Prentice Hall

Chapter 01. The Mathematics of Voting: The Paradoxes of Democracy
 PDF   Word  1. Preference Ballots and Preference Schedules
 PDF   Word  2. The Plurality Method
 PDF   Word  3. The Borda Count Method
 PDF   Word  4. The Plurality-with-Elimination Method (Instant Runoff Voting)
 PDF   Word  5. The Method of Pairwise Comparisons (Copeland's Method)
 PDF   Word  6. Rankings
Chapter 02. Weighted Voting Systems: The Power Game
 PDF   Word  1. Weighted Voting Systems
 PDF   Word  2. The Banzhaf Power Index
 PDF   Word  3. Applications of the Banzhaf Power Index
 PDF   Word  4. The Shapley-Shubik Power Index
 PDF   Word  5. Applications of the Shapley-Shubik Power Index
Chapter 03. Fair Division: The Mathematics of Sharing
 PDF   Word  1. Fair-Division Games
 PDF   Word  2. Two Players: The Divider-Chooser Method
 PDF   Word  3. The Lone-Divider Method
 PDF   Word  4. The Lone-Chooser Method
 PDF   Word  5. The Last-Diminisher Method
 PDF   Word  6. The Method of Sealed Bids
 PDF   Word  7. The Method of Markers
Chapter 04. The Mathematics of Apportionment: Making the Rounds
  1. The Apportionment Problem
  2. The Mathematics of Apportionment: Basic Concepts
  3. Hamilton's Method and the Quota Rule
  4. The Alabama Paradox
  5. The Population and New-States Paradoxes
  6. Jefferson's Method
  7. Adams's Method
  8. Webster's Method
Chapter 05. Euler Circuits: The Circuit Comes to Town
 PDF   Word  1. Routing Problems
 PDF   Word  2. Graphs
 PDF   Word  3. Graph Concepts and Terminology
 PDF   Word  4. Graph Models
 PDF   Word  5. Euler's Theorems
 PDF   Word  6. Fleury's Algorithm
 PDF   Word  7. Eulerizing Graphs
Chapter 06. The Traveling-Salesman Problem: Hamilton Joins the Circuit
 PDF   Word  1. Hamilton Circuits and Hamilton Paths
 PDF   Word  2. Complete Graphs
 PDF   Word  3. Traveling-Salesman Problems
 PDF   Word  4. Simple Strategies for Solving TSPs
 PDF   Word  5. The Brute-Force and Nearest Neighbor Algorithms
 PDF   Word  6. Approximate Algorithms
 PDF   Word  7. The Repetitive Nearest-Neighbor Algorithm
 PDF   Word  8. The Cheapest-Link Alogrithm
Chapter 07. The Mathematics of Networks: It's All about Being Connected
 PDF   Word  1. Trees
 PDF   Word  2. Minimum Spanning Trees
 PDF   Word  3. Kruskal's Algorithm
 PDF   Word  4. The Shortest Distance Between Three Points
 PDF   Word  5. The Shortest Network Linking More Than Three Points
Chapter 08. The Mathematics of Scheduling: Directed Graphs and Critical Paths
  4. The Decreasing-Time Algorithm
  5. Critical Paths
  6. The Critical-Path Algorithm
  7. Scheduling with Independent Tasks
  1. The Basic Elements of Scheduling
  2. Directed Graphs (Digraphs)
  3. The Priority-List Model for Scheduling
Chapter 09. Spiral Growth in Nature: Fibonacci Numbers and the Golden Ratio
  1. Fibonacci Numbers
  2. The Equation x2=x+1 and the Golden Ratio
  3. Gnomons
  4. Gnomonic Growth
Chapter 10. The Mathematics of Population Growth: There is Strength in Numbers
 PDF   Word  1. The Dynamics of Population Growth
 PDF   Word  2. The Linear Growth Model
 PDF   Word  3. The Exponential Growth Model
 PDF   Word  4. The Logisitc Growth Model
Chapter 11. Symmetry: Mirror, Mirror, off the Wall…
  1. Geometric Symmetry
  2. Rigid Motions
  3. Reflections
  4. Rotations
  5. Translations
  6. Glide Reflections
  7. Symmetry Revisited
  8. Patterns
Chapter 12. Fractal Geometry: Fractally Speaking.
  1. The Koch Snowflake
  2. The Sierpinski Gasket
  3. The Chaos Game
  4. The Twisted Sierpinski Gasket
  5. Self-Similarity in Art and Literature
  6. The Mandelbrot Set
Chapter 13. Collecting Statistical Data: Censuses, Surveys, and Studies
 PDF   Word  1. The Population
 PDF   Word  2. Surveys
 PDF   Word  3. Random Sampling
 PDF   Word  4. Sampling: Terminology and Key Concepts
  5. Clinical Studies
Chapter 14. Descriptive Statistics: Graphing and Summarizing Data
 PDF   Word  1. Graphical Descriptions of Data
 PDF   Word  2. Variables: Quantitative and Qualitative; Continuous and Discrete
 PDF   Word  3. Numerical Summaries of Data
 PDF   Word  4. Measures of Spread
Chapter 15. Chances, Probability, and Odds: Measuring Uncertainty
 PDF   Word  1. Random Experiments and Sample Spaces
 PDF   Word  2. Counting: The Multiplication Rule
 PDF   Word  3. Permutations and Combinations
 PDF   Word  4. What Is a Probability?
 PDF   Word  5. Probability Spaces
 PDF   Word  6. Probability Spaces with Equally Likely Outcomes
 PDF   Word  7. Odds
Chapter 16. Normal Distributions: Everything is Back to Normal (Almost)
 PDF   Word  1. Approximately Normal Distributions of Data
 PDF   Word  2. Normal Curves and Normal Distributions
 PDF   Word  3. Standardizing Normal Data Sets
 PDF   Word  4. The 68-95-99.7 Rule
 PDF   Word  5. Normal Curves as Models of Real-Life Data Sets
 PDF   Word  6. Normal Distributions of Random Events
 PDF   Word  7. Statistical Inference
Chapter M. Miscellaneous
 PDF   Word  01. Finance: Interest and Annuities
 PDF   Word  02. Finance: Amortization
 PDF   Word  03. Linear Regression