Mathematics All Around

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: Service Math

Category: Liberal Arts Math

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
3.2Truth 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 AllAround 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
8.1Percents, 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

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