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Table of Contents
PART 1 MANAGEMENT SCIENCE
Chapter 1 Urban Services
1.1 Euler Circuits
1.2 Finding Euler Circuits
1.3 Beyond Euler Circuits
1.4 Urban Graph Traversal Problems
Chapter 2 Business Efficiency
2.1 Hamiltonian Circuits
2.2 Traveling Salesman Problem
2.3 Helping Traveling Salesmen
2.4 Minimum-Cost Spanning Trees
2.5 Critical-Path Analysis
Chapter 3 Planning and Scheduling
3.1 Scheduling Tasks
3.2 Critical-Path Schedules
3.3 Independent Tasks
3.4 Bin Packing
3.5 Resolving Conflict via Coloring
Chapter 4 Linear Programming
4.1 Mixture Problems: Combining Resources to Maximize Profit
4.2 Finding the Optimal Production Policy
4.3 Why the Corner Point Principle Works
4.4 Linear Programming: Life is Complicated
4.5 A Transportation Problem: Delivering Perishables
4. Improving on the Current Solution
PART 2 STATISTICS: THE SCIENCE OF DATA
Chapter 5 Exploring Data: Distributions
5.1 Displaying Distributions: Histograms
5.2 Interpreting Histograms
5.3 Displaying Distributions: Stemplots
5.4 Describing Center: Mean and Median
5.5 Describing Spread: The Quartiles
5.6 The Five-Number Summary and Boxplots
5.7 Describing Spread: The Standard Deviation
5.8 Noraml Distributions
5.9 The 68-95-99.7 Rule
Chapter 6 Exploring Data: Relationships
6.1 Displaying Relationships: Scatterplot
6.2 Making Predictions: Regression Line
6.3 Correlation
6.4 Least-Squares Regression
6.5 Interpreting Correlation and Regression
Chapter 7 Data for Decisions
7.1 Sampling
7.2 Bad Sampling Methods
7.3 Simple Random Samples
7.4 Cautions About Sample Surveys
7.5 Experiments
7.6 Experiments Versus Observational Studies
7.7 Inference: From Sample to Population
7.8 Cofidence Intervals
Chapter 8 Probability: the Mathematics of Chance
8.1 Probability Models and Rules
8.2 Discrete Probability Models
8.3 Equally Likely Outcomes
8.4 Continuous Probability Models
8.5 The Mean and Standard Deviation of a Probability Model
8.6 The Central Limit Theorem
PART 3 VOTING AND SOCIAL CHOICE
Chapter 9 Social Choice: The Impossible Dream
9.1 Majority Rule and Condorcet's Method
9.2 Other Voting Systems for Three or More Candidates
9.3 Insurmountable Difficulties: Arrow's Impossibility Theorem
9.4 A Better Approach? Approval Voting
Chapter 10 The Manipulability of Voting Systems
10.1 Majority Rule and Condorcet's Method
10.2 The Manipulability of Other Voting Systems for Three or More Candidates
10.3 Impossibility
10.4 The Chair's Paradox
Chapter 11 Weighted Voting Systems
11.1 How Weighted Voting Works
11.2 The Shapley-Shubik Power Index
11.3 The Banzhaf Power Index
11.4 Comparing Voting Systems
Chapter 12 Electing the President
12.1 Spatial Models for Two-Candidate Elections
12.2 Spatial Models for Multicandidate Elections
12.3 Narrowing the Field
12.4 What Drives Candidates Out?
12.5 Election Reform: Approval Voting
12.6 The Electoral College
12.7 Is There a Better Way to Elect a President?
PART 4 FAIRNESS AND GAME THEORY
Chapter 13 Fair Division
13.1 The Adjusted Winner Procedure
13.2 The Knaster Inheritance Procedure
13.3 Fair Division and Organ Transplant Policies
13.4 Taking Turns
13.5 Divide-and-Choose
13.6 Cake-Division Procedures: Proportionality
13.7 Cake-Division Procedures: The Problem of Envy
Chapter 14 Apportionment
14.1 The Apportionment Problem
14.2 The Hamilton Method
14.3 Divisor Methods
14.4 Which Divisor Method is Best?
Chapter 15 Game Theory: The Mathematics of Competition
15.1 Two-Person Total-Conflict Games: Pure Strategies
15.2 Two-Person Total Conflict: Mixed Strategies
15.3 Partial-Conflict Games
15.4 Larger Games
15.5 Using Game Theory
PART 5 THE DIGITAL REVOLUTION
Chapter 16 Identification Numbers
16.1 Check Digits
16.2 The ZIP Code
16.3 Bar Codes
16.4 Encoding Personal Data
Chapter 17 Information Science
17.1 Binary Codes
17.2 Encoding with Parity-Check Sums
17.3 Cryptography
17.4 Web Searches and Mathematical Logic
PART ON SIZE AND GROWTH
Chapter 18 Growth and Form
18.1 Geometric Similarity
18.2 How Much Is That in...?
18.3 Scaling a Mountain
18.4 Sorry, No King Kongs
18.5 Dimension Tension
18.6 How to Grow
Chapter 19 Symmetry and Patterns
19.1 Fibonacci Numbers and the Golden Ration
19.2 Rosette, Strip, and Wallpaper Patterns
19.3 Notation for Patterns
19.4 Symmetry Groups
19.5 Fractal Patterns and Chaos
Chapter 20 Tilings
20.1 Tilings with Regular Polygons
20.2 Tiling with Irregular Polygons
20.3 Using Translations
20.4 Using Translations Plus Half Turns
20.5 Nonperiodic Tilings
PART 7 YOUR MONEY AND RESOURCES
Chapter 21 Savings Models
21.1 Arithmetic Growth and Simple Interest
21.2 Geometric Growth and Compound Interest
21.3 A Limit to Compounding
21.4 A Model for Saving
21.5 Present Value and Inflation
Chapter 22 Borrowing Models
22.1 Simple Interest
22.2 Compound Interest
22.3 Conventional Loans
22.4 Annuities
Chapter 23 The Economics of Resources
23.1 Growth Models for Biological Populations
23.2 How Long Can a Nonrenewable Resource Last?
23.3 Sustaining Renewable Resources
23.4 The Economics of Harvesting Resources
23.5 Dynamical Systems and Chaos
CUSTOM CHAPTERS
The following chapters are available through Freeman's custom publishing (restrictions may apply), as well as through the Online Study Center, MathPortal, and eBook:
* Sets
* Problem Solving
* Logic
* Geometry
* Counting and Probability
* Numeration Systems
* Personal Finance
To review any of these chapters, contact your local W. H. Freeman representative.
