PART 1 MANAGEMENT SCIENCE Chapter 1 Urban Services1.1 Euler Circuits1.2 Finding Euler Circuits1.3 Beyond Euler Circuits1.4 Urban Graph Traversal Problems
Chapter 2 Business Efficiency2.1 Hamiltonian Circuits2.2 Traveling Salesman Problem2.3 Helping Traveling Salesmen2.4 Minimum-Cost Spanning Trees2.5 Critical-Path Analysis
Chapter 3 Planning and Scheduling3.1 Scheduling Tasks3.2 Critical-Path Schedules3.3 Independent Tasks3.4 Bin Packing3.5 Resolving Conflict via Coloring
Chapter 4 Linear Programming4.1 Mixture Problems: Combining Resources to Maximize Profit4.2 Finding the Optimal Production Policy4.3 Why the Corner Point Principle Works4.4 Linear Programming: Life is Complicated4.5 A Transportation Problem: Delivering Perishables4. Improving on the Current Solution
PART 2 STATISTICS: THE SCIENCE OF DATA Chapter 5 Exploring Data: Distributions5.1 Displaying Distributions: Histograms5.2 Interpreting Histograms5.3 Displaying Distributions: Stemplots5.4 Describing Center: Mean and Median5.5 Describing Spread: The Quartiles5.6 The Five-Number Summary and Boxplots5.7 Describing Spread: The Standard Deviation5.8 Noraml Distributions5.9 The 68-95-99.7 Rule
Chapter 6 Exploring Data: Relationships6.1 Displaying Relationships: Scatterplot6.2 Making Predictions: Regression Line 6.3 Correlation6.4 Least-Squares Regression6.5 Interpreting Correlation and Regression
Chapter 7 Data for Decisions7.1 Sampling 7.2 Bad Sampling Methods7.3 Simple Random Samples7.4 Cautions About Sample Surveys7.5 Experiments7.6 Experiments Versus Observational Studies7.7 Inference: FromSample to Population7.8 Cofidence Intervals
Chapter 8 Probability: the Mathematics of Chance8.1 Probability Models and Rules8.2 Discrete Probability Models8.3 Equally Likely Outcomes8.4 Continuous Probability Models8.5 The Mean and Standard Deviation of a Probability Model8.6 The Central Limit Theorem
PART 3 VOTING AND SOCIAL CHOICE Chapter 9 Social Choice: The Impossible Dream 9.1 Majority Rule and Condorcet's Method9.2 Other Voting Systems for Three or More Candidates9.3 Insurmountable Difficulties: Arrow's Impossibility Theorem9.4 A Better Approach? Approval Voting
Chapter 10 The Manipulability of Voting Systems10.1 Majority Rule and Condorcet's Method10.2 The Manipulability of Other Voting Systems for Three or More Candidates10.3 Impossibility10.4 The Chair's Paradox
Chapter 11 Weighted Voting Systems11.1 How Weighted Voting Works11.2 The Shapley-Shubik Power Index11.3 The Banzhaf Power Index11.4 Comparing Voting Systems
Chapter 12 Electing the President12.1 Spatial Models for Two-Candidate Elections12.2 Spatial Models for Multicandidate Elections 12.3 Narrowing the Field12.4 What Drives Candidates Out?12.5 Election Reform: Approval Voting 12.6 The Electoral College12.7 Is There a Better Way to Elect a President?
PART 4 FAIRNESS AND GAME THEORY Chapter 13 Fair Division13.1 The Adjusted Winner Procedure13.2 The Knaster Inheritance Procedure 13.3 Fair Division and Organ Transplant Policies 13.4 Taking Turns13.5 Divide-and-Choose13.6 Cake-Division Procedures: Proportionality13.7 Cake-Division Procedures: The Problem of Envy
Chapter 14 Apportionment14.1 The Apportionment Problem14.2 The Hamilton Method14.3 Divisor Methods14.4 Which Divisor Method is Best?
Chapter 15 Game Theory: The Mathematics of Competition15.1 Two-Person Total-Conflict Games: Pure Strategies15.2 Two-Person Total Conflict: Mixed Strategies15.3 Partial-Conflict Games15.4 Larger Games15.5 Using Game Theory
PART 5 THE DIGITAL REVOLUTION Chapter 16 Identification Numbers16.1 Check Digits16.2 The ZIP Code16.3 Bar Codes16.4 Encoding Personal Data
Chapter 17 Information Science17.1 Binary Codes17.2 Encoding with Parity-Check Sums17.3 Cryptography17.4 Web Searches and Mathematical Logic
PART ON SIZE AND GROWTH
Chapter 18 Growth and Form18.1 Geometric Similarity18.2 How Much Is That in...?18.3 Scaling a Mountain18.4 Sorry, No King Kongs18.5 Dimension Tension18.6 How to Grow
Chapter 19 Symmetry and Patterns19.1 Fibonacci Numbers and the Golden Ration19.2 Rosette, Strip, and Wallpaper Patterns19.3 Notation for Patterns19.4 Symmetry Groups19.5 Fractal Patterns and Chaos
Chapter 20 Tilings20.1 Tilings with Regular Polygons20.2 Tiling with Irregular Polygons20.3 Using Translations20.4 Using Translations Plus Half Turns20.5 Nonperiodic Tilings
PART 7 YOUR MONEY AND RESOURCES Chapter 21 Savings Models21.1 Arithmetic Growth and Simple Interest21.2 Geometric Growth and Compound Interest 21.3 A Limit to Compounding21.4 A Model for Saving21.5 Present Value and Inflation
Chapter 22 Borrowing Models22.1 Simple Interest22.2 Compound Interest22.3 Conventional Loans22.4 Annuities
Chapter 23 The Economics of Resources23.1 Growth Models for Biological Populations23.2 How Long Can a Nonrenewable Resource Last?23.3 Sustaining Renewable Resources23.4 The Economics of Harvesting Resources23.5 Dynamical Systems and Chaos
CUSTOM CHAPTERSThe 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.
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