Using and Understanding Mathematics : A Quantitative Reasoning Approach

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  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2008-01-01
  • Publisher: Addison Wesley
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Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they'll need to make good decisions throughout their lives. Common-sense applications of mathematics engage students while underscoring the practical, essential uses of math.

Table of Contents

Preface Prologue: Literacy for the Modern Worl
Logic and Problem Solving
Thinking Critically
Recognizing Fallacies
Propositions and Truth Values
Sets and Venn Diagrams
Analyzing Arguments 1E Critical Thinking in Everyday Life
Approaches to Problem Solving
The Problem-Solving Power of Units
Standardized Units: More Problem-Solving Power
Problem-Solving Guidelines and Hint
Quantitative Information in Everyday Life
Numbers in the Real World
Uses and Abuses of Percentages
Putting Numbers in Perspective
Dealing with Uncertainty
Index Numbers: The CPI and Beyond
How Numbers Deceive: Polygraphs, Mammograms, and More
Managing Your Money
Taking Control of Your Finances
The Power of Compounding
Savings Plans and Investments
Loan Payments, Credit Cards, and Mortgages
Income Taxes
Understanding the Federal Budge
Probability and Statistics
Statistical Reasoning
Fundamentals of Statistics
Should You Believe a Statistical Study
Statistical Tables and Graphs
Graphics in the Media
Correlation and Causality
Putting Statistics to Work
Characterizing a Data Distribution
Measures of Variation
The Normal Distribution
Statistical Inference
Probability: Living with the Odds
Fundamentals of Probability
Combining Probabilities
The Law of Large Numbers
Assessing Risk
Counting and Probabilit
Exponential Astonishment
Growth: Linear versus Exponential
Doubling Time and Half-Life
Real Population Growth
Logarithmic Scales: Earthquakes, Sounds, and Acids
Modeling Our World
Functions: The Building Blocks of Mathematical Models
Linear Modeling
Exponential Modeling
Modeling with Geometry
Fundamentals of Geometry
Problem Solving with Geometry
Fractal Geometr
Further Applications
Mathematics and the Arts
Mathematics and Music
Perspective and Symmetry
Proportion and the Golden Ratio
Mathematics and Politics
Voting: Does the Majority Always Rule
Theory of Voting
Apportionment: The House of Representatives and Beyond
Dividing the Political Pie
Mathematics and Business
Network Analysis
The Traveling Salesman Problem
Scheduling Problem
Credits Answers
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