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

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Chapter 01.	The Mathematics of Voting: The Paradoxes of Democracy
	1. Preference Ballots and Preference Schedules
	2. The Plurality Method
	3. The Borda Count Method
	4. The Plurality-with-Elimination Method (Instant Runoff Voting)
	5. The Method of Pairwise Comparisons (Copeland's Method)
	6. Rankings

Chapter 02.	Weighted Voting Systems: The Power Game
	1. Weighted Voting Systems
	2. The Banzhaf Power Index
	3. Applications of the Banzhaf Power Index
	4. The Shapley-Shubik Power Index
	5. Applications of the Shapley-Shubik Power Index

Chapter 03.	Fair Division: The Mathematics of Sharing
	1. Fair-Division Games
	2. Two Players: The Divider-Chooser Method
	3. The Lone-Divider Method
	4. The Lone-Chooser Method
	5. The Last-Diminisher Method
	6. The Method of Sealed Bids
	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
	1. Routing Problems
	2. Graphs
	3. Graph Concepts and Terminology
	4. Graph Models
	5. Euler's Theorems
	6. Fleury's Algorithm
	7. Eulerizing Graphs

Chapter 06.	The Traveling-Salesman Problem: Hamilton Joins the Circuit
	1. Hamilton Circuits and Hamilton Paths
	2. Complete Graphs
	3. Traveling-Salesman Problems
	4. Simple Strategies for Solving TSPs
	5. The Brute-Force and Nearest Neighbor Algorithms
	6. Approximate Algorithms
	7. The Repetitive Nearest-Neighbor Algorithm
	8. The Cheapest-Link Alogrithm

Chapter 07.	The Mathematics of Networks: It's All about Being Connected
	1. Trees
	2. Minimum Spanning Trees
	3. Kruskal's Algorithm
	4. The Shortest Distance Between Three Points
	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
	1. The Dynamics of Population Growth
	2. The Linear Growth Model
	3. The Exponential Growth Model
	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
	1. The Population
	2. Surveys
	3. Random Sampling
	4. Sampling: Terminology and Key Concepts
	5. Clinical Studies

Chapter 14.	Descriptive Statistics: Graphing and Summarizing Data
	1. Graphical Descriptions of Data
	2. Variables: Quantitative and Qualitative; Continuous and Discrete
	3. Numerical Summaries of Data
	4. Measures of Spread

Chapter 15.	Chances, Probability, and Odds: Measuring Uncertainty
	1. Random Experiments and Sample Spaces
	2. Counting: The Multiplication Rule
	3. Permutations and Combinations
	4. What Is a Probability?
	5. Probability Spaces
	6. Probability Spaces with Equally Likely Outcomes
	7. Odds

Chapter 16.	Normal Distributions: Everything is Back to Normal (Almost)
	1. Approximately Normal Distributions of Data
	2. Normal Curves and Normal Distributions
	3. Standardizing Normal Data Sets
	4. The 68-95-99.7 Rule
	5. Normal Curves as Models of Real-Life Data Sets
	6. Normal Distributions of Random Events
	7. Statistical Inference

Chapter M.	Miscellaneous
	01. Finance: Interest and Annuities
	02. Finance: Amortization
	03. Linear Regression