Mathematics All Around, 7th edition

Thomas Pirnot
, Margaret Moore

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In a world where information and misinformation spread rapidly, it's important to learn now to think critically and become comfortable with numerical information. The applications, problem-solving emphasis, and clear writing of Mathematics All Around make it an interesting and relevant program for students of all levels and backgrounds. With new co-author Margaret Moore, the 7th Edition explores various apps, spreadsheets, and other technologies, incorporates GeoGebra and Excel Spreadsheets in some examples, and more. It is also ideal for students who need to satisfy a 1- or 2-course math requirement to transfer or graduate.

ISBN-13: 9780137383962

Subject: Liberal Arts Math

Category: Liberal Arts Math

1. Problem Solving: Strategies and Principles

1.1 Problem Solving
1.2 Inductive and Deductive Reasoning
1.3 Estimation
Chapter Summary
Chapter Review Exercises
Chapter Test

2. Set Theory: Using Mathematics to Classify Objects

2.1 The Language of Sets
2.2 Comparing Sets
2.3 Set Operations
2.4 Survey Problems
2.5 Looking Deeper: Infinite Sets
Chapter Summary
Chapter Review Exercises
Chapter Test

3. Logic: The Study of What's True or False or Somewhere in Between

3.1 Statements, Connectives, and Quantifiers
3.2 Truth Tables
3.3 The Conditional and Biconditional
3.4 Verifying Arguments
3.5 Using Euler Diagrams to Verify Syllogisms
3.6 Looking Deeper: Fuzzy Logic
Chapter Summary
Chapter Review Exercises
Chapter Test

4. Graph Theory (Networks): The Mathematics of Relationships

4.1 Graphs, Puzzles, and Map Coloring
4.2 The Traveling Salesperson Problem
4.3 Directed Graphs
4.4 Looking Deeper: Scheduling Projects Using PERT
Chapter Summary
Chapter Review Exercises
Chapter Test

5. Numeration Systems: Does It Matter How We Name Numbers?

5.1 The Evolution of Numeration Systems
5.2 Place Value Systems
5.3 Calculating in Other Bases
5.4 Looking Deeper: Modular Systems
Chapter Summary
Chapter Review Exercises
Chapter Test

6. Number Theory and the Real Number System: Understanding the Numbers All Around Us

6.1 Number Theory
6.2 The Integers
6.3 The Rational Numbers
6.4 The Real Number System
6.5 Exponents and Scientific Notation
6.6 Looking Deeper: Sequences
Chapter Summary
Chapter Review Exercises
Chapter Test

7. Algebraic Models: How Do We Approximate Reality?

7.1 Linear Equations
7.2 Modeling with Linear Equations
7.3 Modeling with Quadratic Equations
7.4 Exponential Equations and Growth
7.5 Proportions and Variation
7.6 Modeling with Systems of Linear Equations and Inequalities
7.7 Looking Deeper: Dynamical Systems
Chapter Summary
Chapter Review Exercises
Chapter Test

8. Consumer Mathematics: The Mathematics of Everyday Life

8.1 Percents, Taxes, and Inflation
8.2 Interest
8.3 Consumer Loans
8.4 Annuities
8.5 Amortized Loans
8.6 Looking Deeper: Annual Percentage Rate
Chapter Summary
Chapter Review Exercises
Chapter Test

9. Geometry: Ancient and Modern Mathematics Embrace

9.1 Lines, Angles, and Circles
9.2 Polygons
9.3 Perimeter and Area
9.4 Volume and Surface Area
9.5 The Metric System and Dimensional Analysis
9.6 Geometric Symmetry and Tessellations
9.7 Looking Deeper: Fractals
Chapter Summary
Chapter Review Exercises
Chapter Test

10. Apportionment: How Do We Measure Fairness?

10.1 Understanding Apportionment
10.2 The Huntington—Hill Apportionment Principle
10.3 Other Paradoxes and Apportionment Methods
10.4 Looking Deeper: Fair Division
Chapter Summary
Chapter Review Exercises
Chapter Test

11. Voting: Using Mathematics to Make Choices

11.1 Voting Methods
11.2 Defects in Voting Methods
11.3 Weighted Voting Systems
11.4 Looking Deeper: The Shapley-Shubik Index
Chapter Summary
Chapter Review Exercises
Chapter Test

12. Counting: Just How Many Are There?

12.1 Introduction to Counting Methods
12.2 The Fundamental Counting Principle
12.3 Permutations and Combinations
12.4 Looking Deeper: Counting and Gambling
Chapter Summary
Chapter Review Exercises
Chapter Test

13. Probability: What Are the Chances?

13.1 The Basics of Probability Theory
13.2 Complements and Unions of Events
13.3 Conditional Probability and Intersections of Events
13.4 Expected Value
13.5 Looking Deeper: Binomial Experiments
Chapter Summary
Chapter Review Exercises
Chapter Test

14. Descriptive Statistics: Making Sense of the Data

14.1 Organizing and Visualizing Data
14.2 Measures of Central Tendency
14.3 Measures of Dispersion
14.4 The Normal Distribution
14.5 Looking Deeper: Linear Correlation
Chapter Summary
Chapter Review Exercises
Chapter Test