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| Management Science | |
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| Urban Services | |
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| Euler Circuits | |
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| Finding Euler Circuits | |
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| Beyond Euler Circuits | |
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| Urban Graph Traversal Problems | |
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| Business Efficiency | |
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| Hamiltonian Circuits | |
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| Traveling Salesman Problem | |
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| Helping Traveling Salesmen | |
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| Minimum-Cost Spanning Trees | |
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| Critical-Path Analysis | |
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| Planning and Scheduling | |
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| Scheduling Tasks | |
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| Critical-Path Schedules | |
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| Independent Tasks | |
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| Bin Packing | |
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| Resolving Conflict via Coloring | |
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| Linear Programming | |
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| Mixture Problems: Combining Resources to Maximize Profit | |
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| Finding the Optimal Production Policy | |
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| Why the Corner Point Principle Works | |
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| Linear Programming: Life is Complicated | |
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| A Transportation Problem: Delivering Perishables | |
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| Improving on the Current Solution | |
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| Statistics: The Science of Data | |
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| Exploring Data: Distributions | |
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| Displaying Distributions: Histograms | |
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| Interpreting Histograms | |
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| Displaying Distributions: Stemplots | |
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| Describing Center: Mean and Median | |
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| Describing Spread: The Quartiles | |
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| The Five-Number Summary and Boxplots | |
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| Describing Spread: The Standard Deviation | |
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| Noraml Distributions | |
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| The 68-95-99.7 Rule | |
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| Exploring Data: Relationships | |
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| Displaying Relationships: Scatterplot | |
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| Making Predictions: Regression Line | |
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| Correlation | |
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| Least-Squares Regression | |
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| Interpreting Correlation and Regression | |
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| Data for Decisions | |
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| Sampling | |
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| Bad Sampling Methods | |
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| Simple Random Samples | |
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| Cautions About Sample Surveys | |
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| Experiments | |
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| Experiments Versus Observational Studies | |
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| Inference: From Sample to Population | |
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| Cofidence Intervals | |
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| Probability: the Mathematics of Chance | |
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| Probability Models and Rules | |
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| Discrete Probability Models | |
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| Equally Likely Outcomes | |
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| Continuous Probability Models | |
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| The Mean and Standard Deviation of a Probability Model | |
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| The Central Limit Theorem | |
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| Voting and Social Choice | |
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| Social Choice: The Impossible Dream | |
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| Majority Rule and Condorcet's Method | |
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| Other Voting Systems for Three or More Candidates | |
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| Insurmountable Difficulties: Arrow's Impossibility Theorem | |
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| A Better Approach? Approval Voting | |
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| The Manipulability of Voting Systems | |
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| Majority Rule and Condorcet's Method | |
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| The Manipulability of Other Voting Systems for Three or More Candidates | |
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| Impossibility | |
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| The Chair's Paradox | |
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| Weighted Voting Systems | |
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| How Weighted Voting Works | |
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| The Shapley-Shubik Power Index | |
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| The Banzhaf Power Index | |
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| Comparing Voting Systems | |
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| Electing the President | |
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| Spatial Models for Two-Candidate Elections | |
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| Spatial Models for Multicandidate Elections | |
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| Narrowing the Field | |
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| What Drives Candidates Out? | |
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| Election Reform: Approval Voting | |
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| The Electoral College | |
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| Is There a Better Way to Elect a President? | |
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| Fairness and Game Theory | |
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| Fair Division | |
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| The Adjusted Winner Procedure | |
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| The Knaster Inheritance Procedure | |
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| Fair Division and Organ Transplant Policies | |
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| Taking Turns | |
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| Divide-and-Choose | |
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| Cake-Division Procedures: Proportionality | |
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| Cake-Division Procedures: The Problem of Envy | |
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| Apportionment | |
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| The Apportionment Problem | |
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| The Hamilton Method | |
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| Divisor Methods | |
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| Which Divisor Method is Best? | |
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| Game Theory: The Mathematics of Competition | |
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| Two-Person Total-Conflict Games: Pure Strategies | |
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| Two-Person Total Conflict: Mixed Strategies | |
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| Partial-Conflict Games | |
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| Larger Games | |
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| Using Game Theory | |
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| The Digital Revolution | |
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| Identification Numbers | |
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| Check Digits | |
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| The ZIP Code | |
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| Bar Codes | |
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| Encoding Personal Data | |
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| Information Science | |
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| Binary Codes | |
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| Encoding with Parity-Check Sums | |
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| Cryptography | |
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| Web Searches and Mathematical Logic | |
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| On Size and Growth | |
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| Growth and Form | |
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| Geometric Similarity | |
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| How Much Is That in...? | |
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| Scaling a Mountain | |
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| Sorry, No King Kongs | |
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| Dimension Tension | |
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| How to Grow | |
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| Symmetry and Patterns | |
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| Fibonacci Numbers and the Golden Ration | |
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| Rosette, Strip, and Wallpaper Patterns | |
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| Notation for Patterns | |
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| Symmetry Groups | |
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| Fractal Patterns and Chaos | |
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| Tilings | |
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| Tilings with Regular Polygons | |
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| Tiling with Irregular Polygons | |
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| Using Translations | |
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| Using Translations Plus Half Turns | |
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| Nonperiodic Tilings | |
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| Your Money and Resources | |
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| Savings Models | |
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| Arithmetic Growth and Simple Interest | |
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| Geometric Growth and Compound Interest | |
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| A Limit to Compounding | |
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| A Model for Saving | |
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| Present Value and Inflation | |
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| Borrowing Models | |
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| Simple Interest | |
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| Compound Interest | |
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| Conventional Loans | |
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| Annuities | |
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| The Economics of Resources | |
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| Growth Models for Biological Populations | |
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| How Long Can a Nonrenewable Resource Last? | |
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| Sustaining Renewable Resources | |
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| The Economics of Harvesting Resources | |
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| Dynamical Systems and Chaos | |