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Mathematics All Around, 7th edition

Published by Pearson (March 9, 2021) © 2022

  • Thomas Pirnot Kutztown University
  • Margaret Moore University of South Maine

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For courses in liberal arts mathematics.

Relevant, approachable math for today's liberal arts students

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

Hallmark features of this title

  • Problem-solving theme includes strategies and principles reinforced throughout, in frequent reminders in the example solutions, and also in Problem-Solving boxes that review the methods from Chapter 1.
  • Math in Your Life: Between the Numbers boxes focus on situations relevant to students' lives. Exercise sets in each section expand upon the material.
  • Visual explanations help students "see" the mathematics they are learning.
  • Exercise sets are designed to reduce repetition, enhance variety and emphasize current applications. 
  • Some Good Advice boxes point out common mistakes, give advice on problem solving and make connections between different areas of mathematics.
  • Looking Deeper discusses an enrichment topic (fuzzy logic, fractals, and more) to offer an interesting concept beyond the main chapter material.

New and updated features of this title

  • New examples include discussion around COVID-19 and modeling revenue from streaming services.
  • Updated chapter and section openers throughout make the material more relevant to students' lives.
  • Increased focus on reader diversity is reflected throughout in the updated content of the text.
  • Revised Using Technology highlights have been closely integrated with the chapter material.

Features of MyLab Math for the 7th Edition

  • Animations: Animation icons throughout the text narrative facilitate active learning and visualization of key concepts. These Animations are housed within MyLab Math and are ideal for classroom use during lecture or by students independently. Animations were created in GeoGebra and are usable on any type of device; they are also editable.
  • Integrated Review content is now folded into the regular Pirnot MyLab course in a way that makes it easier to incorporate at the instructor's discretion. Integrated Review embeds prerequisite review at the chapter level, with prebuilt assignments to check students' skills, and videos and worksheets to remediate on any gaps in knowledge.
  • StatCrunch is a powerful, web-based statistical software that is integrated into MyLab, so students can quickly and easily analyze data sets from their text and exercises.
  • Videos in the MyLab course have been refined to improve the coverage of the examples and objectives in the new edition. 
  • Personal Inventory Assessments promote self-reflection and engagement, covering topics such as Stress Management Assessment, Diagnosing Poor Performance and Enhancing Motivation, and Time Management Assessment. 

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

Answers to Quiz Yourself Problems

Answers to Exercises

Credits

Index

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