For All Practical Purposes (FAPP) remains the leading textbook for turning liberal arts students into skilled math users and consumers. The text conveys the power of mathematics by presenting expert coverage of applied math concepts in fields as diverse as manufacturing and distribution, politics, the economy, architecture, technology, and the natural world, accompanied by classic and contemporary examples and exercises.
The COMAP approach presented in FAPP makes contemporary mathematical ideas exciting, relevant, and fun. The text motivates students to think about and appreciate how math affects the world around them. Students learn the basics of management science, statistics, finance, game theory, voting, and other topics in a relatable context, developing the knowledge and skills that will benefit them in future courses, their careers, and their lives.
The new edition maintains the strengths that have kept this text a best-seller while also including new examples, new exercises, new pedagogy, and enhanced media tools for students and instructors to support the teaching and learning goals.
Table of Contents
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