- ISBN: 9781259304842 | 1259304841
- Cover: Package
- Copyright: 2/10/2014
Mathematics in Our World, Third 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 The Nature of Sets
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 The Fundamentals of Algebra
6-2 Solving Linear Equations
6-3 Applications of Linear Equations
6-4 Ratio, Proportion, and Variation
6-5 Solving Linear Inequalities
6-6 Solving Quadratic Equations
Chapter 6 Summary
Chapter 7: Additional Topics in Algebra
7-1 The Rectangular Coordinate System and Linear Equations in Two Variables
7-2 Systems of Linear Equations
7-3 Linear Inequalities
7-4 Linear Programming
7-5 Functions
7-6 Quadratic, Exponential, and Logarithmic Functions
7-7 Available Online: Solving Systems of Linear Equations Using Matrices
Chapter 7 Summary
Chapter 8: Consumer Mathematics
8-1 Percents
8-2 Simple Interest
8-3 Compound Interest
8-4 Installment Buying
8-5 Student Loans and Home Buying
8-6 Investing in Stocks and Bonds
Chapter 8 Summary
Chapter 9: Measurement
9-1 Measures of Length: Converting Units and the Metric System
9-2 Measures of Area, Volume, and Capacity
9-3 Measures of Weight and Temperature
Chapter 9 Summary
Chapter 10: Geometry
10-1 Points, Lines, Planes and Angles
10-2 Triangles
10-3 Polygons and Perimeter
10-4 Areas of Polygons and Circles
10-5 Volume and Surface Area
10-6 Right Triangle Trigonometry
10-7 A Brief Survey of Non-Euclidean and Transformational Geometries
Chapter 10 Summary
Chapter 11: Probability and Counting Techniques
11-1 The Fundamental Counting Rule and Permutations
11-2 Combinations
11-3 Basic Concepts of Probability
11-4 Tree Diagrams, Tables, and Sample Spaces
11-5 Probability Using Permutations and Combinations
11-6 Odds and Expectation
11-7 The Addition Rules for Probability
11-8 The Multiplication Rules and Conditional
Probability
11-9 The Binomial Distribution
Chapter 11 Summary
Chapter 12: Statistics
12-1 Gathering and Organizing Data
12-2 Picturing Data
12-3 Measures of Average
12-4 Measures of Variation
12-5 Measures of Position
12-6 The Normal Distribution
12-7 Applications of the Normal Distribution
12-8 Correlation and Regression Analysis
Supplement: Misuses of Statistics
Chapter 12 Summary
Chapter 13: Voting Methods
13-1 Preference Tables and the Plurality Method
13-2 The Borda Count Method and the Plurality-with-Elimination Method
13-3 The Pairwise Comparison Method and Approval Voting
13-4 Apportionment
13-5 Apportionment Flaws
Chapter 13 Summary
Chapter 14: Graph Theory
14-1 Basic Concepts of Graph Theory
14-2 Euler’s Theorem
14-3 Hamilton Paths and Circuits
14-4 Trees
Chapter 14 Summary
Chapter 15-Available online: Other Mathematical Systems
15-1 Mathematical Systems and Groups
15-2 Clock Arithmetic
15-3 Modular Systems
Chapter 15 Review
Appendix A: Area Under the Standard Normal Distribution
Appendix B-Available Online: Using the TI-84 Plus Graphing Calculator
Selected Answers
Additional Exercise Sets
Answers to Additional Exercise Sets
Photo Credits
Index
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