For All Practical Purposes : Mathematical Literacy in Today's World

by Unknown

• ISBN13: 9781429209007
• ISBN10: 1429209003
• Edition: 8th
• Format: Hardcover
• Copyright: 2008-10-31
• Publisher: W. H. Freeman
• More Book Details

Summary

The leading applied text for the liberal arts mathematics course returns, ready to help students develop the mathematical literacy needed to vote smartly, shop wisely, plan finances, and support their opinions. In the new edition you will find a wealth of new and updated content, enhanced pedagogy, and expanded media options, including the new MathPortal. Energize your classroom with real-world problem solving! Get FAPP!

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.