# Math in Our World

4^{th}Edition

ISBN10: 125996969X

ISBN13: 9781259969690

Copyright: 2019

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The estimated amount of time this product will be on the market is based on a number of factors, including faculty input to instructional design and the prior revision cycle and updates to academic research-which typically results in a revision cycle ranging from every two to four years for this product. Pricing subject to change at any time.

### Program Details

# Mathematics in Our World, Fourth Edition

### Chapter 1: Problem Solving

#### 1-1 The Nature of Mathematical Reasoning

#### 1-2 Estimation and Interpreting Graphs

#### 1-3 Problem Solving Strategies

#### Chapter 1 Summary

### Chapter 2: Sets

#### 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

#### Chapter 2 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

#### Chapter 3 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

#### Chapter 4 Summary

### 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

#### Chapter 5 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

#### Chapter 6 Summary

### Chapter 7: Consumer Mathematics

#### 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

#### Chapter 7 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

#### Chapter 8 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

#### Chapter 9 Summary

### Chapter 10: Probability and Counting Techniques

#### 10-1 The Fundamental Counting Principle and Permutations

#### 10-2 Combinations

#### 10-3 Basic Concepts of Probability

#### 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

#### Chapter 10 Summary

### Chapter 11: Statistics

#### 11-1 Gathering and Organizing Data

#### 11-2 Picturing Data

#### 11-3 Measures of Average

#### 11-4 Measures of Variation

#### 11-5 Measures of Position

#### 11-6 The Normal Distribution

#### 11-7 Applications of the Normal Distribution

#### 11-8 Correlation and Regression Analysis

#### Supplement: Misuses of Statistics

#### Chapter 11 Summary

### 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

#### Chapter 12 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

#### Chapter 13 Summary

### Chapter 14-Available online: Other Mathematical Systems

#### 14-1 Mathematical Systems and Groups

#### 14-2 Clock Arithmetic

#### 14-3 Modular Systems

#### Chapter 14 Summary

#### Appendix A: Area Under the Standard Normal Distribution

#### Appendix B-Available Online: Using the TI-84 Plus Graphing Calculator

#### Selected Answers

#### Photo Credits

#### Index

# Mathematics in Our World, Fourth Edition

### Chapter 1: Problem Solving

#### 1-1 The Nature of Mathematical Reasoning

#### 1-2 Estimation and Interpreting Graphs

#### 1-3 Problem Solving Strategies

#### Chapter 1 Summary

### Chapter 2: Sets

#### 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

#### Chapter 2 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

#### Chapter 3 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

#### Chapter 4 Summary

### 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

#### Chapter 5 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

#### Chapter 6 Summary

### Chapter 7: Consumer Mathematics

#### 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

#### Chapter 7 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

#### Chapter 8 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

#### Chapter 9 Summary

### Chapter 10: Probability and Counting Techniques

#### 10-1 The Fundamental Counting Principle and Permutations

#### 10-2 Combinations

#### 10-3 Basic Concepts of Probability

#### 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

#### Chapter 10 Summary

### Chapter 11: Statistics

#### 11-1 Gathering and Organizing Data

#### 11-2 Picturing Data

#### 11-3 Measures of Average

#### 11-4 Measures of Variation

#### 11-5 Measures of Position

#### 11-6 The Normal Distribution

#### 11-7 Applications of the Normal Distribution

#### 11-8 Correlation and Regression Analysis

#### Supplement: Misuses of Statistics

#### Chapter 11 Summary

### 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

#### Chapter 12 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

#### Chapter 13 Summary

### Chapter 14-Available online: Other Mathematical Systems

#### 14-1 Mathematical Systems and Groups

#### 14-2 Clock Arithmetic

#### 14-3 Modular Systems

#### Chapter 14 Summary

#### Appendix A: Area Under the Standard Normal Distribution

#### Appendix B-Available Online: Using the TI-84 Plus Graphing Calculator

#### Selected Answers

#### Photo Credits

#### Index

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