Mathematics All Around, 7th edition

  • Thomas Pirnot, 
  • Margaret Moore

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Overview

Mathematics All Around teaches you how to think critically and become comfortable with the numerical information around you. Using a clear writing style and high-interest applications, the text shows you how you can use various apps, spreadsheets, and other technologies, such as GeoGebra and Excel to solve problems.

Published by Pearson (June 29th 2021) - Copyright © 2022

ISBN-13: 9780137383962

Subject: Liberal Arts Math

Category: Liberal Arts Math

Table of contents

Table of Contents

  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

Appendix A

Answers to Quiz Yourself Problems,

Answers to Exercises

Credits

Index

Your questions answered

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