# 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.

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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