For All Practical Purposes, Seventh Edition: Mathematical Literacy in Today's World / Edition 7

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For All Practical Purposes is the most effective and engaging textbook available for showing mathematics at work in areas with a direct impact on our lives (consumer products and advertising, politics, the economy, the Internet). It was the first, and remains the best, textbook for liberal arts students and for instructors who want to bring students the excitement of contemporary mathematical thinking and help their students think logically and critically. The new edition offers a number of changes designed to make the text more accessible than ever to a wider range of students and instructors.

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Product Details

  • ISBN-13: 9780716759652
  • Publisher: Freeman, W. H. & Company
  • Publication date: 10/15/2005
  • Edition description: Seventh Edition
  • Edition number: 7
  • Pages: 780
  • Product dimensions: 7.62 (w) x 9.45 (h) x 1.32 (d)

Table of Contents

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 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 Conflicts via Coloring

Chapter 4 Optimization: Finding the Best Solution
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
4.6 Improving on the Current Solution

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 Normal Distributions
5.9 The 68-95-99.7 Rule

Chapter 6 Exploring Data: Relationships
6.1 Displaying Relationships: Scatterplots
6.2 Regression Lines
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 Thinking About Experiments
7.7 Inference: From Sample to Population
7.8 Confidence 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

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 Other Voting Systems for Three or More Candidates
10.3 Impossibility
10.4 The Chair's Paradox

Chapter 11 Weighted Voting Systems
11.1 The Shapley-Shubik Power Index
11.2 The Banzhaf Power Index
11.3 Comparing Voting Systems

Chapter 12 Electing the President
12.1 Elections with Only Two Alternatives
12.2 Elections with Three or More Alternatives: Procedures and Problems
12.3 Insurmountable Difficulties: From Paradox to Impossibility
12.4 A Better Approach? Approval Voting

Chapter 13 Fair Division
13.1 The Adjusted Winner Procedure
13.2 The Knaster Inheritance Procedure
13.3 Taking Turns
13.4 Divide-and-Choose
13.5 Cake-Division Procedures: Proportionality
13.6 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?
14.5 Rolling the Dice: Randomized Apportionment

Chapter 15 Game Theory
15.1 Two-Person Total-Conflict Games: Pure Strategies
15.2 Two-Person Total-Conflict Games: Mixed Strategy
15.3 Partial-Conflict Games
15.4 Larger Games
15.5 Using Game Theory

Chapter 16 Identification Numbers

16.1 Check Digits
16.2 The ZIP Code
16.3 Bar Codes
16.4 Encoding Personal Data

Chapter 17 Managing Information (or Information Science)
17.1 Binary Codes
17.2 Encoding with Parity-Check Sums
17.3 Cryptography
17.4 Mathematical Logic and Web Searches

Chapter 18 Growth and Form
18.1 Geometric Similarity
18.2 The Language of Growth, Enlargement, and Decrease
18.3 Measuing Length, Area, Volume, and Weight
18.4 Scaling Real Objects
18.5 Solving the Problem of Scale
18.6 Similarity and Growth

Chapter 19 Symmetry and Patterns
19.1 Fibonacci Numbers and the Golden Ratio
19.2 Symmetries Preserve the Pattern
19.3 Rosette, Strip, and Wallpaper Patterns
19.4 Classifying Patterns
19.5 Symmetry Groups
19.6 Fractals and Patterns

Chapter 20 Tilings
20.1 Regular Polygons
20.2 Irregular Polygons
20.3 Using Translation
20.4 Using Translations and Half-Turns
20.5 Non-Periodic Tilings
20.6 The Penrose Tiles and Quasicrystals

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 Investment
21.5 Exponential Decay and the Consumer Price Index
21.6 Real Growth and Valuing Investments

Chapter 22 Borrowing Models
22.1 Simple Interest
22.2 Compound Interest
22.3 Conventional Loans
22.4 Annuities
22.5 Fluctuating Interest Rates

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

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