Math in Our World

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Table of Contents
About the Author
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Supplements
Updated content
Acknowledgments
Index of Applications
Math in our World
	Chapter 1: Problem Solving
		1-1 The Nature of Mathematical Reasoning
		1-2 Estimation and Interpreting Graphs
		1-3 Problem-Solving Strategies
		Summary
	Chapter 2: Set Theory
		2-1 Introduction to Set Theory
		2-2 Subsets and Set Operations
		2-3 Using Venn Diagrams to Study Set Operations
		2-4 Using Sets to Solve Problems
		2-5 Infinite Sets
		Summary
	Chapter 3: Logic
		3-1 Statements and Quantifiers
		3-2 Truth Tables
		3-3 Types of Statements
		3-4 Logical Arguments
		3-5 Euler Circles
		Summary
	Chapter 4: Numeration Systems
		4-1 Early and Modern Numeration Systems
		4-2 Tools and Algorithms in Arithmetic
		4-3 Base Number Systems
		4-4 Operations in Base Number Systems
		Summary 207
	Chapter 5: The Real Number System
		5-1 The Natural Numbers
		5-2 The Integers
		5-3 The Rational Numbers
		5-4 The Irrational Numbers
		5-5 The Real Numbers
		5-6 Exponents and Scientific Notation
		5-7 Arithmetic and Geometric Sequences
		Summary
	Chapter 6: Topics in Algebra
		6-1 Applications of Linear Equations
		6-2 Ratio, Proportion, and Variation
		6-3 The Rectangular Coordinate System and Linear Equations in Two Variables
		6-4 Functions
		6-5 Quadratic, Exponential, and Logarithmic Functions
		Summary
	Chapter 7: Consumer Math
		7-1 Percents
		7-2 Personal Budgeting
		7-3 Simple Interest
		7-4 Compound Interest
		7-5 Installment Buying
		7-6 Student Loans and Home Buying
		7-7 Investing in Stocks and Bonds
		Summary
	Chapter 8: Measurement
		8-1 Measures of Length: Converting Units and the Metric System
		8-2 Measures of Area, Volume, and Capacity
		8-3 Measures of Weight and Temperature
		Summary
	Chapter 9: Geometry
		9-1 Points, Lines, Planes, and Angles
		9-2 Triangles
		9-3 Polygons and Perimeter
		9-4 Areas of Polygons and Circles
		9-5 Volume and Surface Area
		9-6 Right Triangle Trigonometry
		9-7 A Brief Survey of Non-Euclidean and Other Geometries
		Summary
	Chapter 10: Probability and Counting Techniques
		10-1 Basic Concepts of Probability
		10-2 The Fundamental Counting Principle and Permutations
		10-3 Combinations
		10-4 Tree Diagrams, Tables, and Sample Spaces
		10-5 Probability Using Permutations and Combinations
		10-6 Odds and Expectation
		10-7 The Addition Rules for Probability
		10-8 The Multiplication Rules and Conditional Probability
		10-9 The Binomial Distribution
		Summary
	Chapter 11: Statistics
		11-1 Gathering and Organizing Data
		11-2 Picturing Data
		11-3 Measures of Average
		11-4 Measures of Variation x679
		11-5 Measures of Position
		11-6 The Normal Distribution
		11-7 Applications of the Normal Distribution
		11-8 Correlation and Regression Analysis
		Summary
		Chapter 11 Supplement: Misuses of Statistics
	Chapter 12: Voting Methods
		12-1 Preference Tables and the Plurality Method
		12-2 The Borda Count Method and the Plurality-with-Elimination Method
		12-3 The Pairwise Comparison Method and Approval Voting
		12-4 Apportionment
		12-5 Apportionment Flaws
		Summary
	Chapter 13: Graph Theory
		13-1 Basic Concepts of Graph Theory
		13-2 Euler’s Theorem
		13-3 Hamilton Paths and Circuits
		13-4 Trees
		Summary
	Appendix A: Area Under the Standard Normal Distribution
	Selected Answers (Student Edition only)
	Index